SD-CAS: Spin Dynamics by Computer Algebra System.
Filip, Xenia; Filip, Claudiu
2010-11-01
A computer algebra tool for describing the Liouville-space quantum evolution of nuclear 1/2-spins is introduced and implemented within a computational framework named Spin Dynamics by Computer Algebra System (SD-CAS). A distinctive feature compared with numerical and previous computer algebra approaches to solving spin dynamics problems results from the fact that no matrix representation for spin operators is used in SD-CAS, which determines a full symbolic character to the performed computations. Spin correlations are stored in SD-CAS as four-entry nested lists of which size increases linearly with the number of spins into the system and are easily mapped into analytical expressions in terms of spin operator products. For the so defined SD-CAS spin correlations a set of specialized functions and procedures is introduced that are essential for implementing basic spin algebra operations, such as the spin operator products, commutators, and scalar products. They provide results in an abstract algebraic form: specific procedures to quantitatively evaluate such symbolic expressions with respect to the involved spin interaction parameters and experimental conditions are also discussed. Although the main focus in the present work is on laying the foundation for spin dynamics symbolic computation in NMR based on a non-matrix formalism, practical aspects are also considered throughout the theoretical development process. In particular, specific SD-CAS routines have been implemented using the YACAS computer algebra package (http://yacas.sourceforge.net), and their functionality was demonstrated on a few illustrative examples.
SD-CAS: Spin Dynamics by Computer Algebra System
NASA Astrophysics Data System (ADS)
Filip, Xenia; Filip, Claudiu
2010-11-01
A computer algebra tool for describing the Liouville-space quantum evolution of nuclear 1/2-spins is introduced and implemented within a computational framework named Spin Dynamics by Computer Algebra System (SD-CAS). A distinctive feature compared with numerical and previous computer algebra approaches to solving spin dynamics problems results from the fact that no matrix representation for spin operators is used in SD-CAS, which determines a full symbolic character to the performed computations. Spin correlations are stored in SD-CAS as four-entry nested lists of which size increases linearly with the number of spins into the system and are easily mapped into analytical expressions in terms of spin operator products. For the so defined SD-CAS spin correlations a set of specialized functions and procedures is introduced that are essential for implementing basic spin algebra operations, such as the spin operator products, commutators, and scalar products. They provide results in an abstract algebraic form: specific procedures to quantitatively evaluate such symbolic expressions with respect to the involved spin interaction parameters and experimental conditions are also discussed. Although the main focus in the present work is on laying the foundation for spin dynamics symbolic computation in NMR based on a non-matrix formalism, practical aspects are also considered throughout the theoretical development process. In particular, specific SD-CAS routines have been implemented using the YACAS computer algebra package (http://yacas.sourceforge.net), and their functionality was demonstrated on a few illustrative examples.
ERIC Educational Resources Information Center
Leng, Ng Wee; Choo, Kwee Tiow; Soon, Lau Hock; Yi-Huak, Koh; Sun, Yap Yew
2005-01-01
This study examines the effects of using Texas Instruments' Voyage 200 calculator (V200), a graphing calculator with a built-in computer algebra system (CAS), on attitudes towards CAS and achievement in mathematics of junior college students (17 year olds). Students' attitudes towards CAS were examined using a 40-item Likert-type instrument…
How Do Traditional Examination Questions Fare in the Presence of a Computer Algebra System (CAS)?
ERIC Educational Resources Information Center
Malabar, Ian; Pountney, Dave
2001-01-01
Describes the outcomes and discusses possible implications for the development of assessment with a Computer Algebra System (CAS) when a group of undergraduate mathematics students, familiar with using a CAS in examinations, tackled an assortment of traditional (i.e., non-CAS type) questions. (Author/MM)
ERIC Educational Resources Information Center
Buteau, Chantal; Jarvis, Daniel H.; Lavicza, Zsolt
2014-01-01
In this article, we outline the findings of a Canadian survey study (N = 302) that focused on the extent of computer algebra systems (CAS)-based technology use in postsecondary mathematics instruction. Results suggest that a considerable number of Canadian mathematicians use CAS in research and teaching. CAS use in research was found to be the…
Examinations in the Final Year of Transition to Mathematical Methods Computer Algebra System (CAS)
ERIC Educational Resources Information Center
Leigh-Lancaster, David; Les, Magdalena; Evans, Michael
2010-01-01
2009 was the final year of parallel implementation for Mathematical Methods Units 3 and 4 and Mathematical Methods (CAS) Units 3 and 4. From 2006-2009 there was a common technology-free short answer examination that covered the same function, algebra, calculus and probability content for both studies with corresponding expectations for key…
Handheld Computer Algebra Systems in the Pre-Algebra Classroom
ERIC Educational Resources Information Center
Gantz, Linda Ann Galofaro
2010-01-01
This mixed method analysis sought to investigate several aspects of student learning in pre-algebra through the use of computer algebra systems (CAS) as opposed to non-CAS learning. This research was broken into two main parts, one which compared results from both the experimental group (instruction using CAS, N = 18) and the control group…
Mixing Microworld and CAS Features in Building Computer Systems that Help Students Learn Algebra
ERIC Educational Resources Information Center
Nicaud, Jean-Francois; Bouhineau, Denis; Chaachoua, Hamid
2004-01-01
We present the design principles for a new kind of computer system that helps students learn algebra. The fundamental idea is to have a system based on the microworld paradigm that allows students to make their own calculations, as they do with paper and pencil, without being obliged to use commands, and to verify the correctness of these…
ERIC Educational Resources Information Center
Maat, Siti Mistima; Zakaria, Effandi
2011-01-01
Ordinary differential equations (ODEs) are one of the important topics in engineering mathematics that lead to the understanding of technical concepts among students. This study was conducted to explore the students' understanding of ODEs when they solve ODE questions using a traditional method as well as a computer algebraic system, particularly…
Computer Algebra Systems, Pedagogy, and Epistemology
ERIC Educational Resources Information Center
Bosse, Michael J.; Nandakumar, N. R.
2004-01-01
The advent of powerful Computer Algebra Systems (CAS) continues to dramatically affect curricula, pedagogy, and epistemology in secondary and college algebra classrooms. However, epistemological and pedagogical research regarding the role and effectiveness of CAS in the learning of algebra lags behind. This paper investigates concerns regarding…
ERIC Educational Resources Information Center
Abdullah, Lazim M.
2007-01-01
Computer algebra systems (CASs) have been used by thousands of teachers and students for teaching and learning algebra. They have the ability to perform efficiently almost all of the algebraic expansions and simplifications. Nevertheless, the traditional approach of using paper and pencil in acquiring procedural knowledge is still widely…
ERIC Educational Resources Information Center
Ozgun-Koca, S. Ash
2010-01-01
Although growing numbers of secondary school mathematics teachers and students use calculators to study graphs, they mainly rely on paper-and-pencil when manipulating algebraic symbols. However, the Computer Algebra Systems (CAS) on computers or handheld calculators create new possibilities for teaching and learning algebraic manipulation. This…
Some Unexpected Results Using Computer Algebra Systems.
ERIC Educational Resources Information Center
Alonso, Felix; Garcia, Alfonsa; Garcia, Francisco; Hoya, Sara; Rodriguez, Gerardo; de la Villa, Agustin
2001-01-01
Shows how teachers can often use unexpected outputs from Computer Algebra Systems (CAS) to reinforce concepts and to show students the importance of thinking about how they use the software and reflecting on their results. Presents different examples where DERIVE, MAPLE, or Mathematica does not work as expected and suggests how to use them as a…
ERIC Educational Resources Information Center
Garner, Sue
2004-01-01
The Victorian Curriculum and Assessment Authority (VCAA) Computer Algebra System (CAS)Pilot study (2001-2005) is monitoring the use of CAS in senior secondary mathematics. This article explores the author's experiences in the CAS classroom and delineates changes in teaching style, as a result of the introduction of CAS into the senior mathematics…
ERIC Educational Resources Information Center
Meagher, Michael
2012-01-01
The research presented here is a group case study of students learning calculus in a Computer Algebra System (CAS) environment which examines the following research questions: What are students' perceptions of the role of technology in their learning? What is the students' relationship to CAS? What is the effect of learning in a CAS environment on…
ERIC Educational Resources Information Center
van Herwaarden, Onno A.; Gielen, Joseph L. W.
2002-01-01
Focuses on students showing a lack of conceptual insight while using computer algebra systems (CAS) in the setting of an elementary calculus and linear algebra course for first year university students in social sciences. The use of a computer algebra environment has been incorporated into a more traditional course but with special attention on…
Motivating Constraints of a Pedagogy-Embedded Computer Algebra System
ERIC Educational Resources Information Center
Dana-Picard, Thierry
2007-01-01
The constraints of a computer algebra system (CAS) generally induce limitations on its usage. Via the pedagogical features implemented in such a system, "motivating constraints" can appear, encouraging advanced theoretical learning, providing a broader mathematical knowledge and more profound mathematical understanding. We discuss this issue,…
Analysis of Computer Algebra System Tutorials Using Cognitive Load Theory
ERIC Educational Resources Information Center
May, Patricia
2004-01-01
Most research in the area of Computer Algebra Systems (CAS) has been designed to compare the effectiveness of instructional technology to traditional lecture-based formats. While results are promising, research also indicates evidence of the steep learning curve imposed by the technology. Yet no studies have been conducted to investigate this…
Computer Algebra Systems: Permitted but Are They Used?
ERIC Educational Resources Information Center
Pierce, Robyn; Bardini, Caroline
2015-01-01
Since the 1990s, computer algebra systems (CAS) have been available in Australia as hand-held devices designed for students with the expectation that they will be used in the mathematics classroom. The data discussed in this paper was collected as part of a pilot study that investigated first year university mathematics and statistics students'…
Teaching of Real Numbers by Using the Archimedes-Cantor Approach and Computer Algebra Systems
ERIC Educational Resources Information Center
Vorob'ev, Evgenii M.
2015-01-01
Computer technologies and especially computer algebra systems (CAS) allow students to overcome some of the difficulties they encounter in the study of real numbers. The teaching of calculus can be considerably more effective with the use of CAS provided the didactics of the discipline makes it possible to reveal the full computational potential of…
ERIC Educational Resources Information Center
Buteau, Chantal; Marshall, Neil; Jarvis, Daniel; Lavicza, Zsolt
2010-01-01
We present results of a literature review pilot study (326 papers) regarding the use of Computer Algebra Systems (CAS) in tertiary mathematics education. Several themes that have emerged from the review are discussed: diverse uses of CAS, benefits to student learning, issues of integration and mathematics learning, common and innovative usage of…
A Study of the Use of a Handheld Computer Algebra System in Discrete Mathematics
ERIC Educational Resources Information Center
Powers, Robert A.; Allison, Dean E.; Grassl, Richard M.
2005-01-01
This study investigated the impact of the TI-92 handheld Computer Algebra System (CAS) on student achievement in a discrete mathematics course. Specifically, the researchers examined the differences between a CAS section and a control section of discrete mathematics on students' in-class examinations. Additionally, they analysed student approaches…
Examining the Use of Computer Algebra Systems in University-Level Mathematics Teaching
ERIC Educational Resources Information Center
Lavicza, Zsolt
2009-01-01
The use of Computer Algebra Systems (CAS) is becoming increasingly important and widespread in mathematics research and teaching. In this paper, I will report on a questionnaire study enquiring about mathematicians' use of CAS in mathematics teaching in three countries; the United States, the United Kingdom, and Hungary. Based on the responses…
ERIC Educational Resources Information Center
Tonisson, Eno
2015-01-01
Sometimes Computer Algebra Systems (CAS) offer an answer that is somewhat different from the answer that is probably expected by the student or teacher. These (somewhat unexpected) answers could serve as a catalyst for rich mathematical discussion. In this study, over 120 equations from school mathematics were solved using 8 different CAS. Many…
ERIC Educational Resources Information Center
Ruthven, Kenneth
2002-01-01
Examines the process through which students learn to make functional use of computer algebra systems (CAS) and the interaction between that process and the wider mathematical development of students. Highlights important challenges that arise in instrumenting classroom mathematical activity and instrumentalizing CAS correspondingly. Reveals…
Step-by-Step Solution Possibilities in Different Computer Algebra Systems.
ERIC Educational Resources Information Center
Tonisson, Eno
This paper compares a number of different Computer Algebra Systems (CAS) in their solution of one-step and multi-step problems. The CAS programs considered include DERIVE, Maple, Mathematica, and MuPAD while the problems are taken from the final examinations of grades 9 and 12 in Estonian schools. The different outputs to one-step problems with…
Maple (Computer Algebra System) in Teaching Pre-Calculus: Example of Absolute Value Function
ERIC Educational Resources Information Center
Tuluk, Güler
2014-01-01
Modules in Computer Algebra Systems (CAS) make Mathematics interesting and easy to understand. The present study focused on the implementation of the algebraic, tabular (numerical), and graphical approaches used for the construction of the concept of absolute value function in teaching mathematical content knowledge along with Maple 9. The study…
Algebraic Systems and Pushdown Automata
NASA Astrophysics Data System (ADS)
Petre, Ion; Salomaa, Arto
We concentrate in this chapter on the core aspects of algebraic series, pushdown automata, and their relation to formal languages. We choose to follow here a presentation of their theory based on the concept of properness. We introduce in Sect. 2 some auxiliary notions and results needed throughout the chapter, in particular the notions of discrete convergence in semirings and C-cycle free infinite matrices. In Sect. 3 we introduce the algebraic power series in terms of algebraic systems of equations. We focus on interconnections with context-free grammars and on normal forms. We then conclude the section with a presentation of the theorems of Shamir and Chomsky-Schützenberger. We discuss in Sect. 4 the algebraic and the regulated rational transductions, as well as some representation results related to them. Section 5 is dedicated to pushdown automata and focuses on the interconnections with classical (non-weighted) pushdown automata and on the interconnections with algebraic systems. We then conclude the chapter with a brief discussion of some of the other topics related to algebraic systems and pushdown automata.
Algebraic methods in system theory
NASA Technical Reports Server (NTRS)
Brockett, R. W.; Willems, J. C.; Willsky, A. S.
1975-01-01
Investigations on problems of the type which arise in the control of switched electrical networks are reported. The main results concern the algebraic structure and stochastic aspects of these systems. Future reports will contain more detailed applications of these results to engineering studies.
ERIC Educational Resources Information Center
Tonisson, Eno; Lepp, Marina
2015-01-01
The answers offered by computer algebra systems (CAS) can sometimes differ from those expected by the students or teachers. The comparison of the students' answers and CAS answers could provide ground for discussion about equivalence and correctness. Investigating the students' comparison of the answers gives the possibility to study different…
1992-05-04
DOE-MACSYMA (Project MAC''s SYmbolic MAnipulation system) is a large computer programming system written in LISP. With DOE-MACSYMA the user can differentiate, integrate, take limits, solve systems of linear or polynomial equations, factor polynomials, expand functions in Laurent or Taylor series, solve differential equations (using direct or transform methods), compute Poisson series, plot curves, and manipulate matrices and tensors. A language similar to ALGOL-60 permits users to write their own programs for transforming symbolic expressions. Franz Lisp OPUS 38 provides the environment for the Encore, Celerity, and DEC VAX11 UNIX,SUN(OPUS) versions under UNIX and the Alliant version under Concentrix. Kyoto Common Lisp (KCL) provides the environment for the SUN(KCL),Convex, and IBM PC under UNIX and Data General under AOS/VS.
1992-05-04
DOE-MACSYMA (Project MAC''s SYmbolic MAnipulation system) is a large computer programming system written in LISP. With DOE-MACSYMA the user can differentiate, integrate, take limits, solve systems of linear or polynomial equations, factor polynomials, expand functions in Laurent or Taylor series, solve differential equations (using direct or transform methods), compute Poisson series, plot curves, and manipulate matrices and tensors. A language similar to ALGOL-60 permits users to write their own programs for transforming symbolic expressions. Franzmore » Lisp OPUS 38 provides the environment for the Encore, Celerity, and DEC VAX11 UNIX,SUN(OPUS) versions under UNIX and the Alliant version under Concentrix. Kyoto Common Lisp (KCL) provides the environment for the SUN(KCL),Convex, and IBM PC under UNIX and Data General under AOS/VS.« less
Assessing Elementary Algebra with STACK
ERIC Educational Resources Information Center
Sangwin, Christopher J.
2007-01-01
This paper concerns computer aided assessment (CAA) of mathematics in which a computer algebra system (CAS) is used to help assess students' responses to elementary algebra questions. Using a methodology of documentary analysis, we examine what is taught in elementary algebra. The STACK CAA system, http://www.stack.bham.ac.uk/, which uses the CAS…
ERIC Educational Resources Information Center
Gonzalez-Vega, Laureano
1999-01-01
Using a Computer Algebra System (CAS) to help with the teaching of an elementary course in linear algebra can be one way to introduce computer algebra, numerical analysis, data structures, and algorithms. Highlights the advantages and disadvantages of this approach to the teaching of linear algebra. (Author/MM)
ERIC Educational Resources Information Center
Matsumoto, Paul S.
2014-01-01
The article describes the use of Mathematica, a computer algebra system (CAS), in a high school chemistry course. Mathematica was used to generate a graph, where a slider controls the value of parameter(s) in the equation; thus, students can visualize the effect of the parameter(s) on the behavior of the system. Also, Mathematica can show the…
Assisting Students' Cognitive Strategies with the Use of CAS
ERIC Educational Resources Information Center
Sarvari, Csaba; Lavicza, Zsolt; Klincsik, Mihaly
2010-01-01
This paper examines various cognitive strategies applied while CAS (Computer Algebra System) are used in undergraduate-level engineering mathematics teaching and learning. We posed some questions in relation to such CAS use: What kind of tools can CAS offer to enhance different cognitive strategies of students? How can the use of CAS widen the…
Some Applications of Algebraic System Solving
ERIC Educational Resources Information Center
Roanes-Lozano, Eugenio
2011-01-01
Technology and, in particular, computer algebra systems, allows us to change both the way we teach mathematics and the mathematical curriculum. Curiously enough, unlike what happens with linear system solving, algebraic system solving is not widely known. The aim of this paper is to show that, although the theory lying behind the "exact solve"…
CAS-Induced Difficulties in Learning Mathematics?
ERIC Educational Resources Information Center
Jankvist, Uffe Thomas; Misfeldt, Morten
2015-01-01
In recent years computer algebra systems (CAS) have become an integrated part of the upper secondary school mathematics program. Despite the many positive possibilities of CAS, there also seems to be a flip side of the coin in relation to actual difficulties in learning mathematics, not least because a strong dependence on CAS for mathematical…
Introducing a Computer Algebra System in Mathematics Education--Empirical Evidence from Germany
ERIC Educational Resources Information Center
Schmidt, Karsten; Kohler, Anke; Moldenhauer, Wolfgang
2009-01-01
This paper reports on the effects the use of a pocket calculator-based computer algebra system (CAS) has on the performance in mathematics of grade 11 students in Germany. A project started at 8 of about one hundred upper secondary schools in the federal state of Thuringia in 1999; 3 years later the former restrictions on the use of technology in…
New directions in algebraic dynamical systems
NASA Astrophysics Data System (ADS)
Schmidt, Klaus; Verbitskiy, Evgeny
2011-02-01
The logarithmic Mahler measure of certain multivariate polynomials occurs frequently as the entropy or the free energy of solvable lattice models (especially dimer models). It is also known that the entropy of an algebraic dynamical system is the logarithmic Mahler measure of the defining polynomial. The connection between the lattice models and the algebraic dynamical systems is still rather mysterious.
Entanglement and algebraic independence in fermion systems
NASA Astrophysics Data System (ADS)
Benatti, Fabio; Floreanini, Roberto
2014-04-01
In the case of systems composed of identical particles, a typical instance in quantum statistical mechanics, the standard approach to separability and entanglement ought to be reformulated and rephrased in terms of correlations between operators from subalgebras localized in spatially disjoint regions. While this algebraic approach is straightforward for bosons, in the case of fermions it is subtler since one has to distinguish between micro-causality, that is the anti-commutativity of the basic creation and annihilation operators, and algebraic independence that is the commutativity of local observables. We argue that a consistent algebraic formulation of separability and entanglement should be compatible with micro-causality rather than with algebraic independence.
Annotation and Classification of CRISPR-Cas Systems.
Makarova, Kira S; Koonin, Eugene V
2015-01-01
The clustered regularly interspaced short palindromic repeats (CRISPR)-Cas (CRISPR-associated proteins) is a prokaryotic adaptive immune system that is represented in most archaea and many bacteria. Among the currently known prokaryotic defense systems, the CRISPR-Cas genomic loci show unprecedented complexity and diversity. Classification of CRISPR-Cas variants that would capture their evolutionary relationships to the maximum possible extent is essential for comparative genomic and functional characterization of this theoretically and practically important system of adaptive immunity. To this end, a multipronged approach has been developed that combines phylogenetic analysis of the conserved Cas proteins with comparison of gene repertoires and arrangements in CRISPR-Cas loci. This approach led to the current classification of CRISPR-Cas systems into three distinct types and ten subtypes for each of which signature genes have been identified. Comparative genomic analysis of the CRISPR-Cas systems in new archaeal and bacterial genomes performed over the 3 years elapsed since the development of this classification makes it clear that new types and subtypes of CRISPR-Cas need to be introduced. Moreover, this classification system captures only part of the complexity of CRISPR-Cas organization and evolution, due to the intrinsic modularity and evolutionary mobility of these immunity systems, resulting in numerous recombinant variants. Moreover, most of the cas genes evolve rapidly, complicating the family assignment for many Cas proteins and the use of family profiles for the recognition of CRISPR-Cas subtype signatures. Further progress in the comparative analysis of CRISPR-Cas systems requires integration of the most sensitive sequence comparison tools, protein structure comparison, and refined approaches for comparison of gene neighborhoods.
Fonfara, Ines; Le Rhun, Anaïs; Chylinski, Krzysztof; Makarova, Kira S.; Lécrivain, Anne-Laure; Bzdrenga, Janek; Koonin, Eugene V.; Charpentier, Emmanuelle
2014-01-01
The CRISPR-Cas-derived RNA-guided Cas9 endonuclease is the key element of an emerging promising technology for genome engineering in a broad range of cells and organisms. The DNA-targeting mechanism of the type II CRISPR-Cas system involves maturation of tracrRNA:crRNA duplex (dual-RNA), which directs Cas9 to cleave invading DNA in a sequence-specific manner, dependent on the presence of a Protospacer Adjacent Motif (PAM) on the target. We show that evolution of dual-RNA and Cas9 in bacteria produced remarkable sequence diversity. We selected eight representatives of phylogenetically defined type II CRISPR-Cas groups to analyze possible coevolution of Cas9 and dual-RNA. We demonstrate that these two components are interchangeable only between closely related type II systems when the PAM sequence is adjusted to the investigated Cas9 protein. Comparison of the taxonomy of bacterial species that harbor type II CRISPR-Cas systems with the Cas9 phylogeny corroborates horizontal transfer of the CRISPR-Cas loci. The reported collection of dual-RNA:Cas9 with associated PAMs expands the possibilities for multiplex genome editing and could provide means to improve the specificity of the RNA-programmable Cas9 tool. PMID:24270795
An Example of Competence-Based Learning: Use of Maxima in Linear Algebra for Engineers
ERIC Educational Resources Information Center
Diaz, Ana; Garcia, Alfonsa; de la Villa, Agustin
2011-01-01
This paper analyses the role of Computer Algebra Systems (CAS) in a model of learning based on competences. The proposal is an e-learning model Linear Algebra course for Engineering, which includes the use of a CAS (Maxima) and focuses on problem solving. A reference model has been taken from the Spanish Open University. The proper use of CAS is…
Structural plasticity and in vivo activity of Cas1 from the type I-F CRISPR-Cas system.
Wilkinson, Max E; Nakatani, Yoshio; Staals, Raymond H J; Kieper, Sebastian N; Opel-Reading, Helen K; McKenzie, Rebecca E; Fineran, Peter C; Krause, Kurt L
2016-04-15
CRISPR-Cas systems are adaptive immune systems in prokaryotes that provide protection against viruses and other foreign DNA. In the adaptation stage, foreign DNA is integrated into CRISPR (clustered regularly interspaced short palindromic repeat) arrays as new spacers. These spacers are used in the interference stage to guide effector CRISPR associated (Cas) protein(s) to target complementary foreign invading DNA. Cas1 is the integrase enzyme that is central to the catalysis of spacer integration. There are many diverse types of CRISPR-Cas systems, including type I-F systems, which are typified by a unique Cas1-Cas2-3 adaptation complex. In the present study we characterize the Cas1 protein of the potato phytopathogen Pectobacterium atrosepticum, an important model organism for understanding spacer acquisition in type I-F CRISPR-Cas systems. We demonstrate by mutagenesis that Cas1 is essential for adaptation in vivo and requires a conserved aspartic acid residue. By X-ray crystallography, we show that although P. atrosepticum Cas1 adopts a fold conserved among other Cas1 proteins, it possesses remarkable asymmetry as a result of structural plasticity. In particular, we resolve for the first time a flexible, asymmetric loop that may be unique to type I-F Cas1 proteins, and we discuss the implications of these structural features for DNA binding and enzymatic activity. PMID:26929403
Adaptation in CRISPR-Cas Systems.
Sternberg, Samuel H; Richter, Hagen; Charpentier, Emmanuelle; Qimron, Udi
2016-03-17
Clustered regularly interspaced short palindromic repeats (CRISPR) and CRISPR-associated (Cas) proteins constitute an adaptive immune system in prokaryotes. The system preserves memories of prior infections by integrating short segments of foreign DNA, termed spacers, into the CRISPR array in a process termed adaptation. During the past 3 years, significant progress has been made on the genetic requirements and molecular mechanisms of adaptation. Here we review these recent advances, with a focus on the experimental approaches that have been developed, the insights they generated, and a proposed mechanism for self- versus non-self-discrimination during the process of spacer selection. We further describe the regulation of adaptation and the protein players involved in this fascinating process that allows bacteria and archaea to harbor adaptive immunity.
Constraint algebra for interacting quantum systems
NASA Astrophysics Data System (ADS)
Fubini, S.; Roncadelli, M.
1988-04-01
We consider relativistic constrained systems interacting with external fields. We provide physical arguments to support the idea that the quantum constraint algebra should be the same as in the free quantum case. For systems with ordering ambiguities this principle is essential to obtain a unique quantization. This is shown explicitly in the case of a relativistic spinning particle, where our assumption about the constraint algebra plus invariance under general coordinate transformations leads to a unique S-matrix. On leave from Dipartimento di Fisica Nucleare e Teorica, Università di Pavia and INFN, I-27100 Pavia, Italy.
ERIC Educational Resources Information Center
Marshall, Neil; Buteau, Chantal; Jarvis, Daniel H.; Lavicza, Zsolt
2012-01-01
We present a comparative study of a literature review of 326 selected contributions (Buteau, Marshall, Jarvis & Lavicza, 2010) to an international (US, UK, Hungary) survey of mathematicians (Lavicza, 2008) regarding the use of Computer Algebra Systems (CAS) in post-secondary mathematics education. The comparison results are organized with respect…
2011-01-01
Background The CRISPR-Cas adaptive immunity systems that are present in most Archaea and many Bacteria function by incorporating fragments of alien genomes into specific genomic loci, transcribing the inserts and using the transcripts as guide RNAs to destroy the genome of the cognate virus or plasmid. This RNA interference-like immune response is mediated by numerous, diverse and rapidly evolving Cas (CRISPR-associated) proteins, several of which form the Cascade complex involved in the processing of CRISPR transcripts and cleavage of the target DNA. Comparative analysis of the Cas protein sequences and structures led to the classification of the CRISPR-Cas systems into three Types (I, II and III). Results A detailed comparison of the available sequences and structures of Cas proteins revealed several unnoticed homologous relationships. The Repeat-Associated Mysterious Proteins (RAMPs) containing a distinct form of the RNA Recognition Motif (RRM) domain, which are major components of the CRISPR-Cas systems, were classified into three large groups, Cas5, Cas6 and Cas7. Each of these groups includes many previously uncharacterized proteins now shown to adopt the RAMP structure. Evidence is presented that large subunits contained in most of the CRISPR-Cas systems could be homologous to Cas10 proteins which contain a polymerase-like Palm domain and are predicted to be enzymatically active in Type III CRISPR-Cas systems but inactivated in Type I systems. These findings, the fact that the CRISPR polymerases, RAMPs and Cas2 all contain core RRM domains, and distinct gene arrangements in the three types of CRISPR-Cas systems together provide for a simple scenario for origin and evolution of the CRISPR-Cas machinery. Under this scenario, the CRISPR-Cas system originated in thermophilic Archaea and subsequently spread horizontally among prokaryotes. Conclusions Because of the extreme diversity of CRISPR-Cas systems, in-depth sequence and structure comparison continue to
Diversity of CRISPR-Cas immune systems and molecular machines.
Barrangou, Rodolphe
2015-01-01
Bacterial adaptive immunity hinges on CRISPR-Cas systems that provide DNA-encoded, RNA-mediated targeting of exogenous nucleic acids. A plethora of CRISPR molecular machines occur broadly in prokaryotic genomes, with a diversity of Cas nucleases that can be repurposed for various applications.
CAS as Environments for Implementing Mathematical Microworlds.
ERIC Educational Resources Information Center
Alpers, Burkhard
2002-01-01
Investigates whether computer algebra systems (CAS) are suitable environments for implementing mathematical microworlds. Recalls what constitutes a microworld and explores how CAS can be used for implementation, stating potentials as well as limitations. Provides as an example the microworld "Formula 1", implemented in Maple Software. (Author/KHR)
Teaching of real numbers by using the Archimedes-Cantor approach and computer algebra systems
NASA Astrophysics Data System (ADS)
Vorob'ev, Evgenii M.
2015-11-01
Computer technologies and especially computer algebra systems (CAS) allow students to overcome some of the difficulties they encounter in the study of real numbers. The teaching of calculus can be considerably more effective with the use of CAS provided the didactics of the discipline makes it possible to reveal the full computational potential of CAS. In the case of real numbers, the Archimedes-Cantor approach satisfies this requirement. The name of Archimedes brings back the exhaustion method. Cantor's name reminds us of the use of Cauchy rational sequences to represent real numbers. The usage of CAS with the Archimedes-Cantor approach enables the discussion of various representations of real numbers such as graphical, decimal, approximate decimal with precision estimates, and representation as points on a straight line. Exercises with numbers such as e, π, the golden ratio ϕ, and algebraic irrational numbers can help students better understand the real numbers. The Archimedes-Cantor approach also reveals a deep and close relationship between real numbers and continuity, in particular the continuity of functions.
Performance of the Cas9 nickase system in Drosophila melanogaster.
Ren, Xingjie; Yang, Zhihao; Mao, Decai; Chang, Zai; Qiao, Huan-Huan; Wang, Xia; Sun, Jin; Hu, Qun; Cui, Yan; Liu, Lu-Ping; Ji, Jun-Yuan; Xu, Jiang; Ni, Jian-Quan
2014-10-01
Recent studies of the Cas9/sgRNA system in Drosophila melanogaster genome editing have opened new opportunities to generate site-specific mutant collections in a high-throughput manner. However, off-target effects of the system are still a major concern when analyzing mutant phenotypes. Mutations converting Cas9 to a DNA nickase have great potential for reducing off-target effects in vitro. Here, we demonstrated that injection of two plasmids encoding neighboring offset sgRNAs into transgenic Cas9(D10A) nickase flies efficiently produces heritable indel mutants. We then determined the effective distance between the two sgRNA targets and their orientations that affected the ability of the sgRNA pairs to generate mutations when expressed in the transgenic nickase flies. Interestingly, Cas9 nickase greatly reduces the ability to generate mutants with one sgRNA, suggesting that the application of Cas9 nickase and sgRNA pairs can almost avoid off-target effects when generating indel mutants. Finally, a defined piwi mutant allele is generated with this system through homology-directed repair. However, Cas9(D10A) is not as effective as Cas9 in replacing the entire coding sequence of piwi with two sgRNAs. PMID:25128437
Static friction, differential algebraic systems and numerical stability
NASA Astrophysics Data System (ADS)
Chen, Jian; Schinner, Alexander; Matuttis, Hans-Georg
We show how Differential Algebraic Systems (Ordinary Differential Equations with algebraic constraints) in mechanics are affected by stability issues and we implement Lubich's projection method to reduce the error to practically zero. Then, we explain how the "numerically exact" implementation for static friction by Differential Algebraic Systems can be stabilized. We conclude by comparing the corresponding steps in the "Contact mechanics" introduced by Moreau.
Spatial Operator Algebra for multibody system dynamics
NASA Technical Reports Server (NTRS)
Rodriguez, G.; Jain, A.; Kreutz-Delgado, K.
1992-01-01
The Spatial Operator Algebra framework for the dynamics of general multibody systems is described. The use of a spatial operator-based methodology permits the formulation of the dynamical equations of motion of multibody systems in a concise and systematic way. The dynamical equations of progressively more complex grid multibody systems are developed in an evolutionary manner beginning with a serial chain system, followed by a tree topology system and finally, systems with arbitrary closed loops. Operator factorizations and identities are used to develop novel recursive algorithms for the forward dynamics of systems with closed loops. Extensions required to deal with flexible elements are also discussed.
Symmetric linear systems - An application of algebraic systems theory
NASA Technical Reports Server (NTRS)
Hazewinkel, M.; Martin, C.
1983-01-01
Dynamical systems which contain several identical subsystems occur in a variety of applications ranging from command and control systems and discretization of partial differential equations, to the stability augmentation of pairs of helicopters lifting a large mass. Linear models for such systems display certain obvious symmetries. In this paper, we discuss how these symmetries can be incorporated into a mathematical model that utilizes the modern theory of algebraic systems. Such systems are inherently related to the representation theory of algebras over fields. We will show that any control scheme which respects the dynamical structure either implicitly or explicitly uses the underlying algebra.
CRISPR-Cas systems: Prokaryotes upgrade to adaptive immunity.
Barrangou, Rodolphe; Marraffini, Luciano A
2014-04-24
Clustered regularly interspaced short palindromic repeats (CRISPR), and associated proteins (Cas) comprise the CRISPR-Cas system, which confers adaptive immunity against exogenic elements in many bacteria and most archaea. CRISPR-mediated immunization occurs through the uptake of DNA from invasive genetic elements such as plasmids and viruses, followed by its integration into CRISPR loci. These loci are subsequently transcribed and processed into small interfering RNAs that guide nucleases for specific cleavage of complementary sequences. Conceptually, CRISPR-Cas shares functional features with the mammalian adaptive immune system, while also exhibiting characteristics of Lamarckian evolution. Because immune markers spliced from exogenous agents are integrated iteratively in CRISPR loci, they constitute a genetic record of vaccination events and reflect environmental conditions and changes over time. Cas endonucleases, which can be reprogrammed by small guide RNAs have shown unprecedented potential and flexibility for genome editing and can be repurposed for numerous DNA targeting applications including transcriptional control.
An updated evolutionary classification of CRISPR-Cas systems.
Makarova, Kira S; Wolf, Yuri I; Alkhnbashi, Omer S; Costa, Fabrizio; Shah, Shiraz A; Saunders, Sita J; Barrangou, Rodolphe; Brouns, Stan J J; Charpentier, Emmanuelle; Haft, Daniel H; Horvath, Philippe; Moineau, Sylvain; Mojica, Francisco J M; Terns, Rebecca M; Terns, Michael P; White, Malcolm F; Yakunin, Alexander F; Garrett, Roger A; van der Oost, John; Backofen, Rolf; Koonin, Eugene V
2015-11-01
The evolution of CRISPR-cas loci, which encode adaptive immune systems in archaea and bacteria, involves rapid changes, in particular numerous rearrangements of the locus architecture and horizontal transfer of complete loci or individual modules. These dynamics complicate straightforward phylogenetic classification, but here we present an approach combining the analysis of signature protein families and features of the architecture of cas loci that unambiguously partitions most CRISPR-cas loci into distinct classes, types and subtypes. The new classification retains the overall structure of the previous version but is expanded to now encompass two classes, five types and 16 subtypes. The relative stability of the classification suggests that the most prevalent variants of CRISPR-Cas systems are already known. However, the existence of rare, currently unclassifiable variants implies that additional types and subtypes remain to be characterized. PMID:26411297
CRISPR-Cas systems: prokaryotes upgrade to adaptive immunity
Barrangou, Rodolphe; Marraffini, Luciano A.
2014-01-01
Summary Clustered Regularly Interspaced Short Palindromic Repeats (CRISPR), and associated proteins (Cas) comprise the CRISPR-Cas system, which confers adaptive immunity against exogenic elements in many bacteria and most archaea. CRISPR-mediated immunization occurs through the uptake of DNA from invasive genetic elements such as plasmids and viruses, followed by its integration into CRISPR loci. These loci are subsequently transcribed and processed into small interfering RNAs that guide nucleases for specific cleavage of complementary sequences. Conceptually, CRISPR-Cas shares functional features with the mammalian adaptive immune system, while also exhibiting characteristics of Lamarckian evolution. Because immune markers spliced from exogenous agents are integrated iteratively in CRISPR loci, they constitute a genetic record of vaccination events and reflect environmental conditions and changes over time. Cas endonucleases, which can be reprogrammed by small guide RNAs have shown unprecedented potential and flexibility for genome editing, and can be repurposed for numerous DNA targeting applications including transcriptional control. PMID:24766887
Martinez, B.; Pomeroy, G. )
1989-12-02
The Security Alarm System is a data acquisition and control system which collects data from intrusion sensors and displays the information in a real-time environment for operators. The Access Control System monitors and controls the movement of personnel with the use of card readers and biometrics hand readers.
ERIC Educational Resources Information Center
Pantzare, Anna Lind
2012-01-01
Calculators with computer algebra systems (CAS) are powerful tools when working with equations and algebraic expressions in mathematics. When calculators are allowed to be used during assessments but are not available or provided to every student, they may cause bias. The CAS calculators may also have an impact on the trustworthiness of results.…
Calibrated Ancillary System (CAS) user's guide, volume 6
NASA Technical Reports Server (NTRS)
1986-01-01
The Calibrated Ancillary System (CAS) provides real-time calibrated parameters from the orbiter downlink (ancillary data) to the Goddard Space Flight Center (GSFC). This user's guide contains the introduction to the equipment, operation, general procedures, and specific procedures of CAS. Volume 6 describes ancillary products procedures, enhancement menu and processing task procedures for SDT/TDT (shuttle data tape/telemetry descriptor tape), database errors and network data driver (NDD) product menu procedures, and utility menu procedures.
Interference activity of a minimal Type I CRISPR-Cas system from Shewanella putrefaciens.
Dwarakanath, Srivatsa; Brenzinger, Susanne; Gleditzsch, Daniel; Plagens, André; Klingl, Andreas; Thormann, Kai; Randau, Lennart
2015-10-15
Type I CRISPR (Clustered Regularly Interspaced Short Palindromic Repeats)-Cas (CRISPR-associated) systems exist in bacterial and archaeal organisms and provide immunity against foreign DNA. The Cas protein content of the DNA interference complexes (termed Cascade) varies between different CRISPR-Cas subtypes. A minimal variant of the Type I-F system was identified in proteobacterial species including Shewanella putrefaciens CN-32. This variant lacks a large subunit (Csy1), Csy2 and Csy3 and contains two unclassified cas genes. The genome of S. putrefaciens CN-32 contains only five Cas proteins (Cas1, Cas3, Cas6f, Cas1821 and Cas1822) and a single CRISPR array with 81 spacers. RNA-Seq analyses revealed the transcription of this array and the maturation of crRNAs (CRISPR RNAs). Interference assays based on plasmid conjugation demonstrated that this CRISPR-Cas system is active in vivo and that activity is dependent on the recognition of the dinucleotide GG PAM (Protospacer Adjacent Motif) sequence and crRNA abundance. The deletion of cas1821 and cas1822 reduced the cellular crRNA pool. Recombinant Cas1821 was shown to form helical filaments bound to RNA molecules, which suggests its role as the Cascade backbone protein. A Cascade complex was isolated which contained multiple Cas1821 copies, Cas1822, Cas6f and mature crRNAs.
The Impact on Student Achievement of When CAS Technology Is Introduced
ERIC Educational Resources Information Center
Driver, David
2012-01-01
When a Computer Algebra System (CAS) is used as a pedagogical and functional tool in class and as a functional tool in exams, its effect on student achievement can be quite profound. The timing of when students are first introduced to a CAS has an impact on gains in student achievement. In this action research project, the CAS calculator was…
Applications of CRISPR-Cas systems in neuroscience.
Heidenreich, Matthias; Zhang, Feng
2016-01-01
Genome-editing tools, and in particular those based on CRISPR-Cas (clustered regularly interspaced short palindromic repeat (CRISPR)-CRISPR-associated protein) systems, are accelerating the pace of biological research and enabling targeted genetic interrogation in almost any organism and cell type. These tools have opened the door to the development of new model systems for studying the complexity of the nervous system, including animal models and stem cell-derived in vitro models. Precise and efficient gene editing using CRISPR-Cas systems has the potential to advance both basic and translational neuroscience research.
Genome engineering using CRISPR-Cas9 system.
Cong, Le; Zhang, Feng
2015-01-01
The Clustered Regularly Interspaced Short Palindromic Repeats (CRISPR)-Cas9 system is an adaptive immune system that exists in a variety of microbes. It could be engineered to function in eukaryotic cells as a fast, low-cost, efficient, and scalable tool for manipulating genomic sequences. In this chapter, detailed protocols are described for harnessing the CRISPR-Cas9 system from Streptococcus pyogenes to enable RNA-guided genome engineering applications in mammalian cells. We present all relevant methods including the initial site selection, molecular cloning, delivery of guide RNAs (gRNAs) and Cas9 into mammalian cells, verification of target cleavage, and assays for detecting genomic modification including indels and homologous recombination. These tools provide researchers with new instruments that accelerate both forward and reverse genetics efforts.
Mouse Genome Editing using CRISPR/Cas System
Harms, Donald W; Quadros, Rolen M; Seruggia, Davide; Ohtsuka, Masato; Takahashi, Gou
2015-01-01
The availability of techniques to create desired genetic mutations has enabled the laboratory mouse as an extensively used model organism in biomedical research including human genetics. A new addition to this existing technical repertoire is the CRISPR/Cas system. Specifically, this system allows editing of the mouse genome much faster than the previously used techniques and more importantly multiple mutations can be created in a single experiment. Here we provide protocols for preparation of CRISPR/Cas reagents and microinjection into one cell mouse embryos to create knockout or knock-in mouse models. PMID:25271839
Harnessing CRISPR-Cas systems for bacterial genome editing.
Selle, Kurt; Barrangou, Rodolphe
2015-04-01
Manipulation of genomic sequences facilitates the identification and characterization of key genetic determinants in the investigation of biological processes. Genome editing via clustered regularly interspaced short palindromic repeats (CRISPR)-CRISPR-associated (Cas) constitutes a next-generation method for programmable and high-throughput functional genomics. CRISPR-Cas systems are readily reprogrammed to induce sequence-specific DNA breaks at target loci, resulting in fixed mutations via host-dependent DNA repair mechanisms. Although bacterial genome editing is a relatively unexplored and underrepresented application of CRISPR-Cas systems, recent studies provide valuable insights for the widespread future implementation of this technology. This review summarizes recent progress in bacterial genome editing and identifies fundamental genetic and phenotypic outcomes of CRISPR targeting in bacteria, in the context of tool development, genome homeostasis, and DNA repair.
ERIC Educational Resources Information Center
Falcon, Raymond
2009-01-01
Teachers use action research in order to improve their teaching and student learning. This action research will analyze students' algebraic reasoning in finding values of variables in systems of equations pictorially and algebraically. This research will look at students solving linear systems of equations without knowing the algebraic algorithms.…
Study of Eclipsing Binary and Multiple Systems in OB Associations IV: Cas OB6 Member DN Cas
NASA Astrophysics Data System (ADS)
Bakış, V.; Bakış, H.; Bilir, S.; Eker, Z.
2016-09-01
An early-type, massive, short-period (Porb=2d.310951) eclipsing spectroscopic binary DN Cas has been re-visited with new spectral and photometric data. The masses and radii of the components have been obtained as M1=19.04± 0.07 M⊙, M2=13.73± 0.05 M⊙ and R1=7.22± 0.06 R⊙, R2=5.79± 0.06 R⊙, respectively. Both components present synchronous rotation (Vrot1=160 km s-1, Vrot2=130 km s-1) with their orbit. Orbital period analysis yielded a physically bound additional component in the system with a minimum mass of M3=0.88 M⊙ orbiting in an eccentric orbit (e = 0.37 ± 0.2) with an orbital period of P 12 = 42 ± 9 yr. High precision absolute parameters of the system allowed us to derive a distance to DN Cas as 1.7 ± 0.2 kpc which locates the system within the borders of the Cas OB6 association (d = 1.8 kpc). The space velocities and the age of DN Cas are in agreement with those of Cas OB6. The age of DN Cas (τ = 3-5 Myr) is found to be 1-2 Myr older than the embedded clusters (IC 1795, IC 1805, and IC 1848) in the Cas OB6 association, which implies a sequential star formation in the association.
Ka, Donghyun; Lee, Hasup; Jung, Yi-Deun; Kim, Kyunggon; Seok, Chaok; Suh, Nayoung; Bae, Euiyoung
2016-01-01
CRISPRs and Cas proteins constitute an RNA-guided microbial immune system against invading nucleic acids. Cas1 is a universal Cas protein found in all three types of CRISPR-Cas systems, and its role is implicated in new spacer acquisition during CRISPR-mediated adaptive immunity. Here, we report the crystal structure of Streptococcus pyogenes Cas1 (SpCas1) in a type II CRISPR-Cas system and characterize its interaction with S. pyogenes Csn2 (SpCsn2). The SpCas1 structure reveals a unique conformational state distinct from type I Cas1 structures, resulting in a more extensive dimerization interface, a more globular overall structure, and a disruption of potential metal-binding sites for catalysis. We demonstrate that SpCas1 directly interacts with SpCsn2, and identify the binding interface and key residues for Cas complex formation. These results provide structural information for a type II Cas1 protein, and lay a foundation for studying multiprotein Cas complexes functioning in type II CRISPR-Cas systems.
A Simple Iterative Solution of Nonlinear Algebraic Systems
NASA Astrophysics Data System (ADS)
Gousidou, Maria; Koutitas, Christopher
2009-09-01
A simple, robust, easily programmable and efficient method for the iterative solution of nonlinear algebraic systems, commonly appearing in nonlinear mechanics, based on Newton-Raphson method (without repeatedly solving linear algebraic systems), is proposed, synoptically described and experimentally investigated. Fast convergence and easy programming are its main qualifications.
Using CAS to Solve a Mathematics Task: A Deconstruction
ERIC Educational Resources Information Center
Berger, Margot
2010-01-01
I investigate how and whether a heterogeneous group of first-year university mathematics students in South Africa harness the potential power of a computer algebra system (CAS) when doing a specific mathematics task. In order to do this, I develop a framework for deconstructing a mathematics task requiring the use of CAS, into its primary…
Targeted mutagenesis in chicken using CRISPR/Cas9 system
Oishi, Isao; Yoshii, Kyoko; Miyahara, Daichi; Kagami, Hiroshi; Tagami, Takahiro
2016-01-01
The CRISPR/Cas9 system is a simple and powerful tool for genome editing in various organisms including livestock animals. However, the system has not been applied to poultry because of the difficulty in accessing their zygotes. Here we report the implementation of CRISPR/Cas9-mediated gene targeting in chickens. Two egg white genes, ovalbumin and ovomucoid, were efficiently (>90%) mutagenized in cultured chicken primordial germ cells (PGCs) by transfection of circular plasmids encoding Cas9, a single guide RNA, and a gene encoding drug resistance, followed by transient antibiotic selection. We transplanted CRISPR-induced mutant-ovomucoid PGCs into recipient chicken embryos and established three germline chimeric roosters (G0). All of the roosters had donor-derived mutant-ovomucoid spermatozoa, and the two with a high transmission rate of donor-derived gametes produced heterozygous mutant ovomucoid chickens as about half of their donor-derived offspring in the next generation (G1). Furthermore, we generated ovomucoid homozygous mutant offspring (G2) by crossing the G1 mutant chickens. Taken together, these results demonstrate that the CRISPR/Cas9 system is a simple and effective gene-targeting method in chickens. PMID:27050479
A non-inheritable maternal Cas9-based multiple-gene editing system in mice
Sakurai, Takayuki; Kamiyoshi, Akiko; Kawate, Hisaka; Mori, Chie; Watanabe, Satoshi; Tanaka, Megumu; Uetake, Ryuichi; Sato, Masahiro; Shindo, Takayuki
2016-01-01
The CRISPR/Cas9 system is capable of editing multiple genes through one-step zygote injection. The preexisting method is largely based on the co-injection of Cas9 DNA (or mRNA) and guide RNAs (gRNAs); however, it is unclear how many genes can be simultaneously edited by this method, and a reliable means to generate transgenic (Tg) animals with multiple gene editing has yet to be developed. Here, we employed non-inheritable maternal Cas9 (maCas9) protein derived from Tg mice with systemic Cas9 overexpression (Cas9 mice). The maCas9 protein in zygotes derived from mating or in vitro fertilization of Tg/+ oocytes and +/+ sperm could successfully edit the target genome. The efficiency of such maCas9-based genome editing was comparable to that of zygote microinjection–based genome editing widely used at present. Furthermore, we demonstrated a novel approach to create “Cas9 transgene-free” gene-modified mice using non-Tg (+/+) zygotes carrying maCas9. The maCas9 protein in mouse zygotes edited nine target loci simultaneously after injection with nine different gRNAs alone. Cas9 mouse-derived zygotes have the potential to facilitate the creation of genetically modified animals carrying the Cas9 transgene, enabling repeatable genome engineering and the production of Cas9 transgene-free mice. PMID:26817415
Algebraic Systems: Applications in the Behavioral and Social Sciences.
ERIC Educational Resources Information Center
Hirshfeld, Stephen F.; Bart, William M.
A variety of uses of algebra in the behavioral and social sciences is provided along with descriptions of several algebraic systems. This volume is intended to be a sourcebook for theoretical conceptualizations for professionals in the behavioral and social sciences. This publication with its emphasis on description, application, and utility…
Inequalities, Assessment and Computer Algebra
ERIC Educational Resources Information Center
Sangwin, Christopher J.
2015-01-01
The goal of this paper is to examine single variable real inequalities that arise as tutorial problems and to examine the extent to which current computer algebra systems (CAS) can (1) automatically solve such problems and (2) determine whether students' own answers to such problems are correct. We review how inequalities arise in…
Insights into the CRISPR/Cas system of Gardnerella vaginalis
2012-01-01
Background Gardnerella vaginalis is identified as the predominant colonist of the vaginal tracts of women diagnosed with bacterial vaginosis (BV). G. vaginalis can be isolated from healthy women, and an asymptomatic BV state is also recognised. The association of G. vaginalis with different clinical phenotypes could be explained by different cytotoxicity of the strains, presumably based on disparate gene content. The contribution of horizontal gene transfer to shaping the genomes of G. vaginalis is acknowledged. The CRISPR loci of the recently discovered CRISPR/Cas microbial defence system provide a historical view of the exposure of prokaryotes to a variety of foreign genetic elements. Results The CRISPR/Cas loci were analysed using available sequence data from three G. vaginalis complete genomes and 18 G. vaginalis draft genomes in the NCBI database, as well as PCR amplicons of the genomic DNA of 17 clinical isolates. The cas genes in the CRISPR/Cas loci of G. vaginalis belong to the E. coli subtype. Approximately 20% of the spacers had matches in the GenBank database. Sequence analysis of the CRISPR arrays revealed that nearly half of the spacers matched G. vaginalis chromosomal sequences. The spacers that matched G. vaginalis chromosomal sequences were determined to not be self-targeting and were presumably neither constituents of mobile-element-associated genes nor derived from plasmids/viruses. The protospacers targeted by these spacers displayed conserved protospacer-adjacent motifs. Conclusions The CRISPR/Cas system has been identified in about one half of the analysed G. vaginalis strains. Our analysis of CRISPR sequences did not reveal a potential link between their presence and the virulence of the G. vaginalis strains. Based on the origins of the spacers found in the G. vaginalis CRISPR arrays, we hypothesise that the transfer of genetic material among G. vaginalis strains could be regulated by the CRISPR/Cas mechanism. The present study is the first
CRISPR-Cas systems for editing, regulating and targeting genomes.
Sander, Jeffry D; Joung, J Keith
2014-04-01
Targeted genome editing using engineered nucleases has rapidly gone from being a niche technology to a mainstream method used by many biological researchers. This widespread adoption has been largely fueled by the emergence of the clustered, regularly interspaced, short palindromic repeat (CRISPR) technology, an important new approach for generating RNA-guided nucleases, such as Cas9, with customizable specificities. Genome editing mediated by these nucleases has been used to rapidly, easily and efficiently modify endogenous genes in a wide variety of biomedically important cell types and in organisms that have traditionally been challenging to manipulate genetically. Furthermore, a modified version of the CRISPR-Cas9 system has been developed to recruit heterologous domains that can regulate endogenous gene expression or label specific genomic loci in living cells. Although the genome-wide specificities of CRISPR-Cas9 systems remain to be fully defined, the power of these systems to perform targeted, highly efficient alterations of genome sequence and gene expression will undoubtedly transform biological research and spur the development of novel molecular therapeutics for human disease.
Multidimensional integrable systems and deformations of Lie algebra homomorphisms
Dunajski, Maciej; Grant, James D. E.; Strachan, Ian A. B.
2007-09-15
We use deformations of Lie algebra homomorphisms to construct deformations of dispersionless integrable systems arising as symmetry reductions of anti-self-dual Yang-Mills equations with a gauge group Diff(S{sup 1})
ERIC Educational Resources Information Center
Fonger, Nicole L.
2012-01-01
Representational fluency (RF) includes an ability to interpret, create, move within and among, and connect tool-based representations of mathematical objects. Taken as an indicator of conceptual understanding, there is a need to better support school algebra students' RF in learning environments that utilize both computer algebra systems…
The algebraic criteria for the stability of control systems
NASA Technical Reports Server (NTRS)
Cremer, H.; Effertz, F. H.
1986-01-01
This paper critically examines the standard algebraic criteria for the stability of linear control systems and their proofs, reveals important previously unnoticed connections, and presents new representations. Algebraic stability criteria have also acquired significance for stability studies of non-linear differential equation systems by the Krylov-Bogoljubov-Magnus Method, and allow realization conditions to be determined for classes of broken rational functions as frequency characteristics of electrical network.
A simplified and efficient germline-specific CRISPR/Cas9 system for Drosophila genomic engineering.
Sebo, Zachary L; Lee, Han B; Peng, Ying; Guo, Yi
2014-01-01
The type II CRISPR/Cas9 system (clustered regularly interspaced short palindromic repeats/CRISPR-associated) has recently emerged as an efficient and simple tool for site-specific engineering of eukaryotic genomes. To improve its applications in Drosophila genome engineering, we simplified the standard two-component CRISPR/Cas9 system by generating a stable transgenic fly line expressing the Cas9 endonuclease in the germline (Vasa-Cas9 line). By injecting vectors expressing engineered target-specific guide RNAs into Vasa-Cas9 fly embryos, mutations were generated from site-specific DNA cleavages and efficiently transmitted into progenies. Because Cas9 endonuclease is the universal component of the type II CRISPR/Cas9 system, site-specific genomic engineering based on this improved platform can be achieved with lower complexity and toxicity, greater consistency, and excellent versatility.
Description of DASSL: a differential/algebraic system solver
Petzold, L.R.
1982-09-01
This paper describes a new code DASSL, for the numerical solution of implicit systems of differential/algebraic equations. These equations are written in the form F(t,y,y') = 0, and they can include systems which are substantially more complex than standard form ODE systems y' = f(t,y). Differential/algebraic equations occur in several diverse applications in the physical world. We outline the algorithms and strategies used in DASSL, and explain some of the features of the code. In addition, we outline briefly what needs to be done to solve a problem using DASSL.
Appropriate Use of a CAS in the Teaching and Learning of Mathematics.
ERIC Educational Resources Information Center
Leinbach, Carl; Pountney, David C.; Etchells, Terence
2002-01-01
Links the use of Computer Algebra Systems (CAS) to an existing classification scheme for mathematical tasks called the MATH Taxonomy. Illustrates through concrete examples how the goals of teaching and learning mathematics can be set using this classification together with the CAS. (Author/MM)
Attitude and CAS Use in Senior Secondary Mathematics: A Case Study of Seven Year 11 Students
ERIC Educational Resources Information Center
Cameron, Scott; Ball, Lynda
2014-01-01
This paper investigates the possible influence of attitude on seven Year 11 students' use of a Computer Algebra System (CAS) during a class activity where students could choose to use CAS or pen-and-paper in solving a range of problems. Investigation of anxiety, confidence, liking and usefulness through a survey and interview revealed that these…
Evidence for the widespread distribution of CRISPR-Cas system in the Phylum Cyanobacteria
Cai, Fei; Axen, Seth D.; Kerfeld, Cheryl A.
2013-01-01
Members of the phylum Cyanobacteria inhabit ecologically diverse environments. However, the CRISPR-Cas (clustered regularly interspaced short palindromic repeats, CRISPR associated genes), an extremely adaptable defense system, has not been surveyed in this phylum. We analyzed 126 cyanobacterial genomes and, surprisingly, found CRISPR-Cas in the majority except the marine subclade (Synechococcus and Prochlorococcus), in which cyanophages are a known force shaping their evolution. Multiple observations of CRISPR loci in the absence of cas1/cas2 genes may represent an early stage of losing a CRISPR-Cas locus. Our findings reveal the widespread distribution of their role in the phylum Cyanobacteria and provide a first step to systematically understanding CRISPR-Cas systems in cyanobacteria. PMID:23628889
The CRISPR-Cas immune system: biology, mechanisms and applications.
Rath, Devashish; Amlinger, Lina; Rath, Archana; Lundgren, Magnus
2015-10-01
Viruses are a common threat to cellular life, not the least to bacteria and archaea who constitute the majority of life on Earth. Consequently, a variety of mechanisms to resist virus infection has evolved. A recent discovery is the adaptive immune system in prokaryotes, a type of system previously thought to be present only in vertebrates. The system, called CRISPR-Cas, provide sequence-specific adaptive immunity and fundamentally affect our understanding of virus-host interaction. CRISPR-based immunity acts by integrating short virus sequences in the cell's CRISPR locus, allowing the cell to remember, recognize and clear infections. There has been rapid advancement in our understanding of this immune system and its applications, but there are many aspects that await elucidation making the field an exciting area of research. This review provides an overview of the field and highlights unresolved issues.
Anti-cas spacers in orphan CRISPR4 arrays prevent uptake of active CRISPR-Cas I-F systems.
Almendros, Cristóbal; Guzmán, Noemí M; García-Martínez, Jesús; Mojica, Francisco J M
2016-01-01
Archaea and bacteria harbour clustered regularly interspaced short palindromic repeats (CRISPR) loci. These arrays encode RNA molecules (crRNA), each containing a sequence of a single repeat-intervening spacer. The crRNAs guide CRISPR-associated (Cas) proteins to cleave nucleic acids complementary to the crRNA spacer, thus interfering with targeted foreign elements. Notably, pre-existing spacers may trigger the acquisition of new spacers from the target molecule by means of a primed adaptation mechanism. Here, we show that naturally occurring orphan CRISPR arrays that contain spacers matching sequences of the cognate (absent) cas genes are able to elicit both primed adaptation and direct interference against genetic elements carrying those genes. Our findings show the existence of an anti-cas mechanism that prevents the transfer of a fully equipped CRISPR-Cas system. Hence, they suggest that CRISPR immunity may be undesired by particular prokaryotes, potentially because they could limit possibilities for gaining favourable sequences by lateral transfer. PMID:27573106
Algebraic Systems Biology: A Case Study for the Wnt Pathway.
Gross, Elizabeth; Harrington, Heather A; Rosen, Zvi; Sturmfels, Bernd
2016-01-01
Steady-state analysis of dynamical systems for biological networks gives rise to algebraic varieties in high-dimensional spaces whose study is of interest in their own right. We demonstrate this for the shuttle model of the Wnt signaling pathway. Here, the variety is described by a polynomial system in 19 unknowns and 36 parameters. It has degree 9 over the parameter space. This case study explores multistationarity, model comparison, dynamics within regions of the state space, identifiability, and parameter estimation, from a geometric point of view. We employ current methods from computational algebraic geometry, polyhedral geometry, and combinatorics.
Entanglement in algebraic quantum mechanics: Majorana fermion systems
NASA Astrophysics Data System (ADS)
Benatti, F.; Floreanini, R.
2016-07-01
Many-body entanglement is studied within the algebraic approach to quantum physics in systems made of Majorana fermions. In this framework, the notion of separability stems from partitions of the algebra of observables and properties of the associated correlation functions, rather than on particle tensor products. This allows a complete characterization of non-separable Majorana fermion states to be obtained. These results may have direct application in quantum metrology: using Majorana systems, sub-shot-noise accuracy in parameter estimations can be achieved without preliminary resource-consuming, state entanglement operations.
Algebraic Systems Biology: A Case Study for the Wnt Pathway.
Gross, Elizabeth; Harrington, Heather A; Rosen, Zvi; Sturmfels, Bernd
2016-01-01
Steady-state analysis of dynamical systems for biological networks gives rise to algebraic varieties in high-dimensional spaces whose study is of interest in their own right. We demonstrate this for the shuttle model of the Wnt signaling pathway. Here, the variety is described by a polynomial system in 19 unknowns and 36 parameters. It has degree 9 over the parameter space. This case study explores multistationarity, model comparison, dynamics within regions of the state space, identifiability, and parameter estimation, from a geometric point of view. We employ current methods from computational algebraic geometry, polyhedral geometry, and combinatorics. PMID:26645985
Modulating the Cascade architecture of a minimal Type I-F CRISPR-Cas system
Gleditzsch, Daniel; Müller-Esparza, Hanna; Pausch, Patrick; Sharma, Kundan; Dwarakanath, Srivatsa; Urlaub, Henning; Bange, Gert; Randau, Lennart
2016-01-01
Shewanella putrefaciens CN-32 contains a single Type I-Fv CRISPR-Cas system which confers adaptive immunity against bacteriophage infection. Three Cas proteins (Cas6f, Cas7fv, Cas5fv) and mature CRISPR RNAs were shown to be required for the assembly of an interference complex termed Cascade. The Cas protein-CRISPR RNA interaction sites within this complex were identified via mass spectrometry. Additional Cas proteins, commonly described as large and small subunits, that are present in all other investigated Cascade structures, were not detected. We introduced this minimal Type I system in Escherichia coli and show that it provides heterologous protection against lambda phage. The absence of a large subunit suggests that the length of the crRNA might not be fixed and recombinant Cascade complexes with drastically shortened and elongated crRNAs were engineered. Size-exclusion chromatography and small-angle X-ray scattering analyses revealed that the number of Cas7fv backbone subunits is adjusted in these shortened and extended Cascade variants. Larger Cascade complexes can still confer immunity against lambda phage infection in E. coli. Minimized Type I CRISPR-Cas systems expand our understanding of the evolution of Cascade assembly and diversity. Their adjustable crRNA length opens the possibility for customizing target DNA specificity. PMID:27216815
Development of an intein-mediated split–Cas9 system for gene therapy
Truong, Dong-Jiunn Jeffery; Kühner, Karin; Kühn, Ralf; Werfel, Stanislas; Engelhardt, Stefan; Wurst, Wolfgang; Ortiz, Oskar
2015-01-01
Using CRISPR/Cas9, it is possible to target virtually any gene in any organism. A major limitation to its application in gene therapy is the size of Cas9 (>4 kb), impeding its efficient delivery via recombinant adeno-associated virus (rAAV). Therefore, we developed a split–Cas9 system, bypassing the packaging limit using split-inteins. Each Cas9 half was fused to the corresponding split-intein moiety and, only upon co-expression, the intein-mediated trans-splicing occurs and the full Cas9 protein is reconstituted. We demonstrated that the nuclease activity of our split-intein system is comparable to wild-type Cas9, shown by a genome-integrated surrogate reporter and by targeting three different endogenous genes. An analogously designed split-Cas9D10A nickase version showed similar activity as Cas9D10A. Moreover, we showed that the double nick strategy increased the homologous directed recombination (HDR). In addition, we explored the possibility of delivering the repair template accommodated on the same dual-plasmid system, by transient transfection, showing an efficient HDR. Most importantly, we revealed for the first time that intein-mediated split–Cas9 can be packaged, delivered and its nuclease activity reconstituted efficiently, in cells via rAAV. PMID:26082496
Implementing Computer Algebra Enabled Questions for the Assessment and Learning of Mathematics
ERIC Educational Resources Information Center
Sangwin, Christopher J.; Naismith, Laura
2008-01-01
We present principles for the design of an online system to support computer algebra enabled questions for use within the teaching and learning of mathematics in higher education. The introduction of a computer algebra system (CAS) into a computer aided assessment (CAA) system affords sophisticated response processing of student provided answers.…
Phylogenetic Distribution of CRISPR-Cas Systems in Antibiotic-Resistant Pseudomonas aeruginosa
van Belkum, Alex; Soriaga, Leah B.; LaFave, Matthew C.; Akella, Srividya; Veyrieras, Jean-Baptiste; Barbu, E. Magda; Shortridge, Dee; Blanc, Bernadette; Hannum, Gregory; Zambardi, Gilles; Miller, Kristofer; Enright, Mark C.; Mugnier, Nathalie; Brami, Daniel; Schicklin, Stéphane; Felderman, Martina; Schwartz, Ariel S.; Richardson, Toby H.; Peterson, Todd C.; Hubby, Bolyn
2015-01-01
ABSTRACT Pseudomonas aeruginosa is an antibiotic-refractory pathogen with a large genome and extensive genotypic diversity. Historically, P. aeruginosa has been a major model system for understanding the molecular mechanisms underlying type I clustered regularly interspaced short palindromic repeat (CRISPR) and CRISPR-associated protein (CRISPR-Cas)-based bacterial immune system function. However, little information on the phylogenetic distribution and potential role of these CRISPR-Cas systems in molding the P. aeruginosa accessory genome and antibiotic resistance elements is known. Computational approaches were used to identify and characterize CRISPR-Cas systems within 672 genomes, and in the process, we identified a previously unreported and putatively mobile type I-C P. aeruginosa CRISPR-Cas system. Furthermore, genomes harboring noninhibited type I-F and I-E CRISPR-Cas systems were on average ~300 kb smaller than those without a CRISPR-Cas system. In silico analysis demonstrated that the accessory genome (n = 22,036 genes) harbored the majority of identified CRISPR-Cas targets. We also assembled a global spacer library that aided the identification of difficult-to-characterize mobile genetic elements within next-generation sequencing (NGS) data and allowed CRISPR typing of a majority of P. aeruginosa strains. In summary, our analysis demonstrated that CRISPR-Cas systems play an important role in shaping the accessory genomes of globally distributed P. aeruginosa isolates. PMID:26604259
CRISPR-Cas: evolution of an RNA-based adaptive immunity system in prokaryotes.
Koonin, Eugene V; Makarova, Kira S
2013-05-01
The CRISPR-Cas (clustered regularly interspaced short palindromic repeats, CRISPR-associated genes) is an adaptive immunity system in bacteria and archaea that functions via a distinct self-non-self recognition mechanism that is partially analogous to the mechanism of eukaryotic RNA interference (RNAi). The CRISPR-Cas system incorporates fragments of virus or plasmid DNA into the CRISPR repeat cassettes and employs the processed transcripts of these spacers as guide RNAs to cleave the cognate foreign DNA or RNA. The Cas proteins, however, are not homologous to the proteins involved in RNAi and comprise numerous, highly diverged families. The majority of the Cas proteins contain diverse variants of the RNA recognition motif (RRM), a widespread RNA-binding domain. Despite the fast evolution that is typical of the cas genes, the presence of diverse versions of the RRM in most Cas proteins provides for a simple scenario for the evolution of the three distinct types of CRISPR-cas systems. In addition to several proteins that are directly implicated in the immune response, the cas genes encode a variety of proteins that are homologous to prokaryotic toxins that typically possess nuclease activity. The predicted toxins associated with CRISPR-Cas systems include the essential Cas2 protein, proteins of COG1517 that, in addition to a ligand-binding domain and a helix-turn-helix domain, typically contain different nuclease domains and several other predicted nucleases. The tight association of the CRISPR-Cas immunity systems with predicted toxins that, upon activation, would induce dormancy or cell death suggests that adaptive immunity and dormancy/suicide response are functionally coupled. Such coupling could manifest in the persistence state being induced and potentially providing conditions for more effective action of the immune system or in cell death being triggered when immunity fails.
CRISPR-Cas: New Tools for Genetic Manipulations from Bacterial Immunity Systems.
Jiang, Wenyan; Marraffini, Luciano A
2015-01-01
Prokaryotic CRISPR-Cas loci encode proteins that function as an adaptive immune system against infectious viruses and plasmids. Immunity is mediated by Cas nucleases and small RNA guides, which specify a cleavage site within the genome of the invader. In type II CRISPR-Cas systems, the RNA-guided Cas9 nuclease cleaves the DNA. Cas9 can be reprogrammed to create double-strand DNA breaks in the genomes of a variety of organisms, from bacteria to human cells. Repair of Cas9 lesions by homologous recombination or nonhomologous end joining mechanisms can lead to the introduction of specific nucleotide substitutions or indel mutations, respectively. Furthermore, a nuclease-null Cas9 has been developed to regulate endogenous gene expression and to label genomic loci in living cells. Targeted genome editing and gene regulation mediated by Cas9 are easy to program, scale, and multiplex, allowing researchers to decipher the causal link between genetic and phenotypic variation. In this review, we describe the most notable applications of Cas9 in basic biology, translational medicine, synthetic biology, biotechnology, and other fields. PMID:26209264
Quadratic algebras for three-dimensional superintegrable systems
Daskaloyannis, C. Tanoudis, Y.
2010-02-15
The three-dimensional superintegrable systems with quadratic integrals of motion have five functionally independent integrals, one among them is the Hamiltonian. Kalnins, Kress, and Miller have proved that in the case of nondegenerate potentials with quadratic integrals of motion there is a sixth quadratic integral, which is linearly independent of the other integrals. The existence of this sixth integral implies that the integrals of motion form a ternary parafermionic-like quadratic Poisson algebra with five generators. In this contribution we investigate the structure of this algebra. We show that in all the nondegenerate cases there is at least one subalgebra of three integrals having a Poisson quadratic algebra structure, which is similar to the two-dimensional case.
An application of computer algebra system Cadabra to scientific problems of physics
NASA Astrophysics Data System (ADS)
Sevastianov, L. A.; Kulyabov, D. S.; Kokotchikova, M. G.
2009-12-01
In this article we present two examples solved in a new problem-oriented computer algebra system Cadabra. Solution of the same examples in widespread universal computer algebra system Maple turn out to be more difficult.
Construction of coherent states for physical algebraic systems
Hassouni, Y.; Curado, E.M.F.; Rego-Monteiro, M.A.
2005-02-01
We construct a general state which is an eigenvector of the annihilation operator of the generalized Heisenberg algebra. We show, for several systems characterized by different energy spectra, that this general state satisfies the minimal set of conditions required to obtain Klauder's minimal coherent states.
Computer Algebra Systems and Theorems on Real Roots of Polynomials
ERIC Educational Resources Information Center
Aidoo, Anthony Y.; Manthey, Joseph L.; Ward, Kim Y.
2010-01-01
A computer algebra system is used to derive a theorem on the existence of roots of a quadratic equation on any bounded real interval. This is extended to a cubic polynomial. We discuss how students could be led to derive and prove these theorems. (Contains 1 figure.)
Numerical solution to systems of delay integrodifferential algebraic equations
NASA Astrophysics Data System (ADS)
Dmitriev, S. S.; Kuznetsov, E. B.
2008-03-01
The numerical solution of the initial value problem for a system of delay integrodifferential algebraic equations is examined in the framework of the parametric continuation method. Necessary and sufficient conditions are obtained for transforming this problem to the best argument, which is the arc length along the integral curve of the problem. The efficiency of the transformation is demonstrated using test examples.
The RNA- and DNA-targeting CRISPR–Cas immune systems of Pyrococcus furiosus
Terns, Rebecca M.; Terns, Michael P.
2014-01-01
Using the hyperthermophile Pyrococcus furiosus, we have delineated several key steps in CRISPR (clustered regularly interspaced short palindromic repeats)–Cas (CRISPR-associated) invader defence pathways. P. furiosus has seven transcriptionally active CRISPR loci that together encode a total of 200 crRNAs (CRISPR RNAs). The 27 Cas proteins in this organism represent three distinct pathways and are primarily encoded in two large gene clusters. The Cas6 protein dices CRISPR locus transcripts to generate individual invader-targeting crRNAs. The mature crRNAs include a signature sequence element (the 5′ tag) derived from the CRISPR locus repeat sequence that is important for function. crRNAs are tailored into distinct species and integrated into three distinct crRNA–Cas protein complexes that are all candidate effector complexes. The complex formed by the Cmr [Cas module RAMP (repeat-associated mysterious proteins)] (subtype III-B) proteins cleaves complementary target RNAs and can be programmed to cleave novel target RNAs in a prokaryotic RNAi-like manner. Evidence suggests that the other two CRISPR–Cas systems in P. furiosus, Csa (Cas subtype Apern) (subtype I-A) and Cst (Cas subtype Tneap) (subtype I-B), target invaders at the DNA level. Studies of the CRISPR–Cas systems from P. furiosus are yielding fundamental knowledge of mechanisms of crRNA biogenesis and silencing for three of the diverse CRISPR–Cas pathways, and reveal that organisms such as P. furiosus possess an arsenal of multiple RNA-guided mechanisms to resist diverse invaders. Our knowledge of the fascinating CRISPR–Cas pathways is leading in turn to our ability to co-opt these systems for exciting new biomedical and biotechnological applications. PMID:24256230
From Calculus to Dynamical Systems through DGS and CAS
ERIC Educational Resources Information Center
García, Jeanett López; Zamudio, Jorge Javier Jiménez
2015-01-01
Several factors have motivated the use of CAS or DGS in the teaching-learning process, such as: the development of new technologies, the availability of computers, and the widespread use of the Internet, among others. Even more, the trend to include CAS and DGS in the curricula of some undergraduate studies has resulted in the instruction of the…
Efficient engineering of a bacteriophage genome using the type I-E CRISPR-Cas system.
Kiro, Ruth; Shitrit, Dror; Qimron, Udi
2014-01-01
The clustered regularly interspaced short palindromic repeats (CRISPR)-CRISPR-associated (Cas) system has recently been used to engineer genomes of various organisms, but surprisingly, not those of bacteriophages (phages). Here we present a method to genetically engineer the Escherichia coli phage T7 using the type I-E CRISPR-Cas system. T7 phage genome is edited by homologous recombination with a DNA sequence flanked by sequences homologous to the desired location. Non-edited genomes are targeted by the CRISPR-Cas system, thus enabling isolation of the desired recombinant phages. This method broadens CRISPR Cas-based editing to phages and uses a CRISPR-Cas type other than type II. The method may be adjusted to genetically engineer any bacteriophage genome.
Incidence of Type II CRISPR1-Cas Systems in Enterococcus Is Species-Dependent.
Lyons, Casandra; Raustad, Nicole; Bustos, Mario A; Shiaris, Michael
2015-01-01
CRISPR-Cas systems, which obstruct both viral infection and incorporation of mobile genetic elements by horizontal transfer, are a specific immune response common to prokaryotes. Antiviral protection by CRISPR-Cas comes at a cost, as horizontally-acquired genes may increase fitness and provide rapid adaptation to habitat change. To date, investigations into the prevalence of CRISPR have primarily focused on pathogenic and clinical bacteria, while less is known about CRISPR dynamics in commensal and environmental species. We designed PCR primers and coupled these with DNA sequencing of products to detect and characterize the presence of cas1, a universal CRISPR-associated gene and proxy for the Type II CRISPR1-Cas system, in environmental and non-clinical Enterococcus isolates. CRISPR1-cas1 was detected in approximately 33% of the 275 strains examined, and differences in CRISPR1 carriage between species was significant. Incidence of cas1 in E. hirae was 73%, nearly three times that of E. faecalis (23.6%) and 10 times more frequent than in E. durans (7.1%). Also, this is the first report of CRISPR1 presence in E. durans, as well as in the plant-associated species E. casseliflavus and E. sulfureus. Significant differences in CRISPR1-cas1 incidence among Enterococcus species support the hypothesis that there is a tradeoff between protection and adaptability. The differences in the habitats of enterococcal species may exert varying selective pressure that results in a species-dependent distribution of CRISPR-Cas systems.
Models of quadratic quantum algebras and their relation to classical superintegrable systems
Kalnins, E. G.; Miller, W.; Post, S.
2009-05-15
We show how to construct realizations (models) of quadratic algebras for 2D second order superintegrable systems in terms of differential or difference operators in one variable. We demonstrate how various models of the quantum algebras arise naturally from models of the Poisson algebras for the corresponding classical superintegrable system. These techniques extend to quadratic algebras related to superintegrable systems in n dimensions and are intimately related to multivariable orthogonal polynomials.
Diverse evolutionary roots and mechanistic variations of the CRISPR-Cas systems.
Mohanraju, Prarthana; Makarova, Kira S; Zetsche, Bernd; Zhang, Feng; Koonin, Eugene V; van der Oost, John
2016-08-01
Adaptive immunity had been long thought of as an exclusive feature of animals. However, the discovery of the CRISPR-Cas defense system, present in almost half of prokaryotic genomes, proves otherwise. Because of the everlasting parasite-host arms race, CRISPR-Cas has rapidly evolved through horizontal transfer of complete loci or individual modules, resulting in extreme structural and functional diversity. CRISPR-Cas systems are divided into two distinct classes that each consist of three types and multiple subtypes. We discuss recent advances in CRISPR-Cas research that reveal elaborate molecular mechanisms and provide for a plausible scenario of CRISPR-Cas evolution. We also briefly describe the latest developments of a wide range of CRISPR-based applications. PMID:27493190
Occurrence and activity of a type II CRISPR-Cas system in Lactobacillus gasseri.
Sanozky-Dawes, Rosemary; Selle, Kurt; O'Flaherty, Sarah; Klaenhammer, Todd; Barrangou, Rodolphe
2015-09-01
Bacteria encode clustered regularly interspaced short palindromic repeats (CRISPRs) and CRISPR-associated genes (cas), which collectively form an RNA-guided adaptive immune system against invasive genetic elements. In silico surveys have revealed that lactic acid bacteria harbour a prolific and diverse set of CRISPR-Cas systems. Thus, the natural evolutionary role of CRISPR-Cas systems may be investigated in these ecologically, industrially, scientifically and medically important microbes. In this study, 17 Lactobacillus gasseri strains were investigated and 6 harboured a type II-A CRISPR-Cas system, with considerable diversity in array size and spacer content. Several of the spacers showed similarity to phage and plasmid sequences, which are typical targets of CRISPR-Cas immune systems. Aligning the protospacers facilitated inference of the protospacer adjacent motif sequence, determined to be 5'-NTAA-3' flanking the 3' end of the protospacer. The system in L. gasseri JV-V03 and NCK 1342 interfered with transforming plasmids containing sequences matching the most recently acquired CRISPR spacers in each strain. We report the distribution and function of a native type II-A CRISPR-Cas system in the commensal species L. gasseri. Collectively, these results open avenues for applications for bacteriophage protection and genome modification in L. gasseri, and contribute to the fundamental understanding of CRISPR-Cas systems in bacteria.
The Neisseria meningitidis CRISPR-Cas9 System Enables Specific Genome Editing in Mammalian Cells
Lee, Ciaran M; Cradick, Thomas J; Bao, Gang
2016-01-01
The clustered regularly-interspaced short palindromic repeats (CRISPR)—CRISPR-associated (Cas) system from Streptococcus pyogenes (Spy) has been successfully adapted for RNA-guided genome editing in a wide range of organisms. However, numerous reports have indicated that Spy CRISPR-Cas9 systems may have significant off-target cleavage of genomic DNA sequences differing from the intended on-target site. Here, we report the performance of the Neisseria meningitidis (Nme) CRISPR-Cas9 system that requires a longer protospacer-adjacent motif for site-specific cleavage, and present a comparison between the Spy and Nme CRISPR-Cas9 systems targeting the same protospacer sequence. The results with the native crRNA and tracrRNA as well as a chimeric single guide RNA for the Nme CRISPR-Cas9 system were also compared. Our results suggest that, compared with the Spy system, the Nme CRISPR-Cas9 system has similar or lower on-target cleavage activity but a reduced overall off-target effect on a genomic level when sites containing three or fewer mismatches are considered. Thus, the Nme CRISPR-Cas9 system may represent a safer alternative for precision genome engineering applications. PMID:26782639
The Neisseria meningitidis CRISPR-Cas9 System Enables Specific Genome Editing in Mammalian Cells.
Lee, Ciaran M; Cradick, Thomas J; Bao, Gang
2016-03-01
The clustered regularly-interspaced short palindromic repeats (CRISPR)-CRISPR-associated (Cas) system from Streptococcus pyogenes (Spy) has been successfully adapted for RNA-guided genome editing in a wide range of organisms. However, numerous reports have indicated that Spy CRISPR-Cas9 systems may have significant off-target cleavage of genomic DNA sequences differing from the intended on-target site. Here, we report the performance of the Neisseria meningitidis (Nme) CRISPR-Cas9 system that requires a longer protospacer-adjacent motif for site-specific cleavage, and present a comparison between the Spy and Nme CRISPR-Cas9 systems targeting the same protospacer sequence. The results with the native crRNA and tracrRNA as well as a chimeric single guide RNA for the Nme CRISPR-Cas9 system were also compared. Our results suggest that, compared with the Spy system, the Nme CRISPR-Cas9 system has similar or lower on-target cleavage activity but a reduced overall off-target effect on a genomic level when sites containing three or fewer mismatches are considered. Thus, the Nme CRISPR-Cas9 system may represent a safer alternative for precision genome engineering applications. PMID:26782639
The Neisseria meningitidis CRISPR-Cas9 System Enables Specific Genome Editing in Mammalian Cells.
Lee, Ciaran M; Cradick, Thomas J; Bao, Gang
2016-03-01
The clustered regularly-interspaced short palindromic repeats (CRISPR)-CRISPR-associated (Cas) system from Streptococcus pyogenes (Spy) has been successfully adapted for RNA-guided genome editing in a wide range of organisms. However, numerous reports have indicated that Spy CRISPR-Cas9 systems may have significant off-target cleavage of genomic DNA sequences differing from the intended on-target site. Here, we report the performance of the Neisseria meningitidis (Nme) CRISPR-Cas9 system that requires a longer protospacer-adjacent motif for site-specific cleavage, and present a comparison between the Spy and Nme CRISPR-Cas9 systems targeting the same protospacer sequence. The results with the native crRNA and tracrRNA as well as a chimeric single guide RNA for the Nme CRISPR-Cas9 system were also compared. Our results suggest that, compared with the Spy system, the Nme CRISPR-Cas9 system has similar or lower on-target cleavage activity but a reduced overall off-target effect on a genomic level when sites containing three or fewer mismatches are considered. Thus, the Nme CRISPR-Cas9 system may represent a safer alternative for precision genome engineering applications.
Keyl, Michael; Schlingemann, Dirk-M.
2010-02-15
We present an approach to a noncommutativelike phase space which allows to analyze quasifree states on the algebra of canonical anti-commutation relations (CAR) in analogy to quasifree states on the algebra of canonical commutation relations (CCR). The used mathematical tools are based on a new algebraic structure the 'Grassmann algebra of canonical anticommutation relations' (GAR algebra) which is given by the twisted tensor product of a Grassmann and a CAR algebra. As a new application, the corresponding theory provides an elegant tool for calculating the fidelity of two quasifree fermionic states which is needed for the study of entanglement distillation within fermionic systems.
ERIC Educational Resources Information Center
Pavelle, Richard; And Others
1981-01-01
Describes the nature and use of computer algebra and its applications to various physical sciences. Includes diagrams illustrating, among others, a computer algebra system and flow chart of operation of the Euclidean algorithm. (SK)
Spatial operator algebra framework for multibody system dynamics
NASA Technical Reports Server (NTRS)
Rodriguez, G.; Jain, Abhinandan; Kreutz, K.
1989-01-01
The Spatial Operator Algebra framework for the dynamics of general multibody systems is described. The use of a spatial operator-based methodology permits the formulation of the dynamical equations of motion of multibody systems in a concise and systematic way. The dynamical equations of progressively more complex grid multibody systems are developed in an evolutionary manner beginning with a serial chain system, followed by a tree topology system and finally, systems with arbitrary closed loops. Operator factorizations and identities are used to develop novel recursive algorithms for the forward dynamics of systems with closed loops. Extensions required to deal with flexible elements are also discussed.
Generalized Lotka—Volterra systems connected with simple Lie algebras
NASA Astrophysics Data System (ADS)
Charalambides, Stelios A.; Damianou, Pantelis A.; Evripidou, Charalambos A.
2015-06-01
We devise a new method for producing Hamiltonian systems by constructing the corresponding Lax pairs. This is achieved by considering a larger subset of the positive roots than the simple roots of the root system of a simple Lie algebra. We classify all subsets of the positive roots of the root system of type An for which the corresponding Hamiltonian systems are transformed, via a simple change of variables, to Lotka-Volterra systems. For some special cases of subsets of the positive roots of the root system of type An, we produce new integrable Hamiltonian systems.
RNA-dependent DNA endonuclease Cas9 of the CRISPR system: Holy Grail of genome editing?
Gasiunas, Giedrius; Siksnys, Virginijus
2013-11-01
Tailor-made nucleases for precise genome modification, such as zinc finger or TALE nucleases, currently represent the state-of-the-art for genome editing. These nucleases combine a programmable protein module which guides the enzyme to the target site with a nuclease domain which cuts DNA at the addressed site. Reprogramming of these nucleases to cut genomes at specific locations requires major protein engineering efforts. RNA-guided DNA endonuclease Cas9 of the type II (clustered regularly interspaced short palindromic repeat) CRISPR-Cas system uses CRISPR RNA (crRNA) as a guide to locate the DNA target and the Cas9 protein to cut DNA. Easy programmability of the Cas9 endonuclease using customizable RNAs brings unprecedented flexibility and versatility for targeted genome modification. We highlight the potential of the Cas9 RNA-guided DNA endonuclease as a novel tool for genome surgery, and discuss possible constraints and future prospects.
ERIC Educational Resources Information Center
Yildiz Ulus, Aysegul
2013-01-01
This paper examines experimental and algorithmic contributions of advanced calculators (graphing and computer algebra system, CAS) in teaching the concept of "diagonalization," one of the key topics in Linear Algebra courses taught at the undergraduate level. Specifically, the proposed hypothesis of this study is to assess the effective…
[CRISPR/Cas system for genome editing in pluripotent stem cells].
Vasil'eva, E A; Melino, D; Barlev, N A
2015-01-01
Genome editing systems based on site-specific nucleases became very popular for genome editing in modern bioengineering. Human pluripotent stem cells provide a unique platform for genes function study, disease modeling, and drugs testing. Consequently, technology for fast, accurate and well controlled genome manipulation is required. CRISPR/Cas (clustered regularly interspaced short palindromic repeat/CRISPR-associated) system could be employed for these purposes. This system is based on site-specific programmable nuclease Cas9. Numerous advantages of the CRISPR/Cas system and its successful application to human stem cells provide wide opportunities for genome therapy and regeneration medicine. In this publication, we describe and compare the main genome editing systems based on site-specific programmable nucleases and discuss opportunities and perspectives of the CRISPR/Cas system for application to pluripotent stem cells.
DOE-MACSYMA. Computer Algebra System
Harten, L.
1989-08-01
DOE-MACSYMA (Project MAC`s SYmbolic MAnipulation system) is a large computer programming system written in LISP. With DOE-MACSYMA the user can differentiate, integrate, take limits, solve systems of linear or polynomial equations, factor polynomials, expand functions in Laurent or Taylor series, solve differential equations (using direct or transform methods), compute Poisson series, plot curves, and manipulate matrices and tensors. A language similar to ALGOL-60 permits users to write their own programs for transforming symbolic expressions.
DOE-MACSYMA. Computer Algebra System
Cook, G.
1987-10-01
DOE-MACSYMA (Project MAC`s SYmbolic MAnipulation system) is a large computer programming system written in LISP. With DOE-MACSYMA the user can differentiate, integrate, take limits, solve systems of linear or polynomial equations, factor polynomials, expand functions in Laurent or Taylor series, solve differential equations (using direct or transform methods), compute Poisson series, plot curves, and manipulate matrices and tensors. A language similar to ALGOL-60 permits users to write their own programs for transforming symbolic expressions.
DOE-MACSYMA. Computer Algebra System
Cook, G.
1985-03-01
DOE-MACSYMA (Project MAC`s SYmbolic MAnipulation system) is a large computer programming system written in LISP. With DOE-MACSYMA the user can differentiate, integrate, take limits, solve systems of linear or polynomial equations, factor polynomials, expand functions in Laurent or Taylor series, solve differential equations (using direct or transform methods), compute Poisson series, plot curves, and manipulate matrices and tensors. A language similar to ALGOL-60 permits users to write their own programs for transforming symbolic expressions.
Nam, Ki Hyun; Haitjema, Charles; Liu, Xueqi; Ding, Fran; Wang, Hongwei; DeLisa, Matthew P.; Ke, Ailong
2012-01-01
SUMMARY Clustered regularly interspaced short palindromic repeats (CRISPRs), together with an operon of CRISPR-associated (Cas) proteins, form an RNA-based prokaryotic immune system against exogenous genetic elements. Cas5 family proteins are found in several Type I CRISPR-Cas systems. Here we report the molecular function of Subtype I-C/Dvulg Cas5d from B. halodurans. We show that Cas5d cleaves pre-crRNA into unit length by recognizing both the hairpin structure and the 3′ single stranded sequence in the CRISPR repeat region. Cas5d structure reveals a ferredoxin domain-based architecture and a catalytic triad formed by Y46, K116 and H117 residues. We further show that after pre-crRNA processing, Cas5d assembles with crRNA, Csd1, and Csd2 proteins to form a multi-subunit interference complex similar to E. coli Cascade (CRISPR-associated complex for antiviral defense) in architecture. Our results suggest that formation of a crRNA-presenting Cascade-like complex is likely a common theme among Type I CRISPR subtypes. PMID:22841292
Cas3 is a single-stranded DNA nuclease and ATP-dependent helicase in the CRISPR/Cas immune system.
Sinkunas, Tomas; Gasiunas, Giedrius; Fremaux, Christophe; Barrangou, Rodolphe; Horvath, Philippe; Siksnys, Virginijus
2011-04-01
Clustered regularly interspaced short palindromic repeat (CRISPR) is a recently discovered adaptive prokaryotic immune system that provides acquired immunity against foreign nucleic acids by utilizing small guide crRNAs (CRISPR RNAs) to interfere with invading viruses and plasmids. In Escherichia coli, Cas3 is essential for crRNA-guided interference with virus proliferation. Cas3 contains N-terminal HD phosphohydrolase and C-terminal Superfamily 2 (SF2) helicase domains. Here, we provide the first report of the cloning, expression, purification and in vitro functional analysis of the Cas3 protein of the Streptococcus thermophilus CRISPR4 (Ecoli subtype) system. Cas3 possesses a single-stranded DNA (ssDNA)-stimulated ATPase activity, which is coupled to unwinding of DNA/DNA and RNA/DNA duplexes. Cas3 also shows ATP-independent nuclease activity located in the HD domain with a preference for ssDNA substrates. To dissect the contribution of individual domains, Cas3 separation-of-function mutants (ATPase(+)/nuclease(-) and ATPase(-)/nuclease(+)) were obtained by site-directed mutagenesis. We propose that the Cas3 ATPase/helicase domain acts as a motor protein, which assists delivery of the nuclease activity to Cascade-crRNA complex targeting foreign DNA. PMID:21343909
Nam, Ki Hyun; Haitjema, Charles; Liu, Xueqi; Ding, Fran; Wang, Hongwei; DeLisa, Matthew P.; Ke, Ailong
2012-10-10
Clustered regularly interspaced short palindromic repeats (CRISPRs), together with an operon of CRISPR-associated (Cas) proteins, form an RNA-based prokaryotic immune system against exogenous genetic elements. Cas5 family proteins are found in several type I CRISPR-Cas systems. Here, we report the molecular function of subtype I-C/Dvulg Cas5d from Bacillus halodurans. We show that Cas5d cleaves pre-crRNA into unit length by recognizing both the hairpin structure and the 3 single stranded sequence in the CRISPR repeat region. Cas5d structure reveals a ferredoxin domain-based architecture and a catalytic triad formed by Y46, K116, and H117 residues. We further show that after pre-crRNA processing, Cas5d assembles with crRNA, Csd1, and Csd2 proteins to form a multi-sub-unit interference complex similar to Escherichia coli Cascade (CRISPR-associated complex for antiviral defense) in architecture. Our results suggest that formation of a crRNA-presenting Cascade-like complex is likely a common theme among type I CRISPR subtypes.
Chellapandi, P; Ranjani, J
2015-09-01
Clustered regularly interspaced short palindromic repeats (CRISPRs) are direct features of the prokaryotic genomes involved in resistance to their bacterial viruses and phages. Herein, we have identified CRISPR loci together with CRISPR-associated sequences (CAS) genes to reveal their immunity against genome invaders in the thermophilic archaea and bacteria. Genomic survey of this study implied that genomic distribution of CRISPR-CAS systems was varied from strain to strain, which was determined by the degree of invading mobiloms. Direct repeats found to be equal in some extent in many thermopiles, but their spacers were differed in each strain. Phylogenetic analyses of CAS superfamily revealed that genes cmr, csh, csx11, HD domain, devR were belonged to the subtypes of cas gene family. The members in cas gene family of thermophiles were functionally diverged within closely related genomes and may contribute to develop several defense strategies. Nevertheless, genome dynamics, geological variation and host defense mechanism were contributed to share their molecular functions across the thermophiles. A thermophilic archaean, Thermococcus gammotolerans and thermophilic bacteria, Petrotoga mobilis and Thermotoga lettingae have shown superoperons-like appearance to cluster cas genes, which were typically evolved for their defense pathways. A cmr operon was identified with a specific promoter in a thermophilic archaean, Caldivirga maquilingensis. Overall, we concluded that knowledge-based genomic survey and phylogeny-based functional assignment have suggested for designing a reliable genetic regulatory circuit naturally from CRISPR-CAS systems, acquired defense pathways, to thermophiles in future synthetic biology.
Streptococcus thermophilus CRISPR-Cas9 Systems Enable Specific Editing of the Human Genome.
Müller, Maximilian; Lee, Ciaran M; Gasiunas, Giedrius; Davis, Timothy H; Cradick, Thomas J; Siksnys, Virginijus; Bao, Gang; Cathomen, Toni; Mussolino, Claudio
2016-03-01
RNA-guided nucleases (RGNs) based on the type II CRISPR-Cas9 system of Streptococcus pyogenes (Sp) have been widely used for genome editing in experimental models. However, the nontrivial level of off-target activity reported in several human cells may hamper clinical translation. RGN specificity depends on both the guide RNA (gRNA) and the protospacer adjacent motif (PAM) recognized by the Cas9 protein. We hypothesized that more stringent PAM requirements reduce the occurrence of off-target mutagenesis. To test this postulation, we generated RGNs based on two Streptococcus thermophilus (St) Cas9 proteins, which recognize longer PAMs, and performed a side-by-side comparison of the three RGN systems targeted to matching sites in two endogenous human loci, PRKDC and CARD11. Our results demonstrate that in samples with comparable on-target cleavage activities, significantly lower off-target mutagenesis was detected using St-based RGNs as compared to the standard Sp-RGNs. Moreover, similarly to SpCas9, the StCas9 proteins accepted truncated gRNAs, suggesting that the specificities of St-based RGNs can be further improved. In conclusion, our results show that Cas9 proteins with longer or more restrictive PAM requirements provide a safe alternative to SpCas9-based RGNs and hence a valuable option for future human gene therapy applications. PMID:26658966
DOE-MACSYMA. Computer Algebra System
Schelter, W.F.
1990-02-01
DOE-MACSYMA (Project MAC`s SYmbolic MAnipulation system) is a large computer programming system written in LISP. With DOE-MACSYMA the user can differentiate, integrate, take limits, solve systems of linear or polynomial equations, factor polynomials, expand functions in Laurent or Taylor series, solve differential equations (using direct or transform methods), compute Poisson series, plot curves, and manipulate matrices and tensors. A language similar to ALGOL-60 permits users to write their own programs for transforming symbolic expressions.Kyoto Common Lisp (KCL) provides the environment for the SUN(KCL),Convex, and IBM PC under UNIX and Data General under AOS/VS.
DOE-MACSYMA. Computer Algebra System
Cook, G.
1987-08-01
DOE-MACSYMA (Project MAC`s SYmbolic MAnipulation system) is a large computer programming system written in LISP. With DOE-MACSYMA the user can differentiate, integrate, take limits, solve systems of linear or polynomial equations, factor polynomials, expand functions in Laurent or Taylor series, solve differential equations (using direct or transform methods), compute Poisson series, plot curves, and manipulate matrices and tensors. A language similar to ALGOL-60 permits users to write their own programs for transforming symbolic expressions. NIL (a New Implementation of Lisp) provides the environment for MACSYMA`s development and use on the DEC VAX11 under VMS.
DOE-MACSYMA. Computer Algebra System
O`Dell, J.E.
1987-07-01
DOE-MACSYMA (Project MAC`s SYmbolic MAnipulation system) is a large computer programming system written in LISP. With DOE-MACSYMA the user can differentiate, integrate, take limits, solve systems of linear or polynomial equations, factor polynomials, expand functions in Laurent or Taylor series, solve differential equations (using direct or transform methods), compute Poisson series, plot curves, and manipulate matrices and tensors. A language similar to ALGOL-60 permits users to write their own programs for transforming symbolic expressions. Franz Lisp OPUS 38 provides the environment for the Encore, Celerity, and DEC VAX11 UNIX, SUN(OPUS) versions under UNIX and the Alliant version under Concentrix.
DOE-MACSYMA. Computer Algebra System
Harten, L.
1988-01-01
DOE-MACSYMA (Project MAC`s SYmbolic MAnipulation system) is a large computer programming system written in LISP. With DOE-MACSYMA the user can differentiate, integrate, take limits, solve systems of linear or polynomial equations, factor polynomials, expand functions in Laurent or Taylor series, solve differential equations (using direct or transform methods), compute Poisson series, plot curves, and manipulate matrices and tensors. A language similar to ALGOL-60 permits users to write their own programs for transforming symbolic expressions. Franz Lisp OPUS 38 provides the environment for the Encore, Celerity, and DEC VAX11 UNIX, SUN(OPUS) versions under UNIX and the Alliant version under Concentrix.
DOE-MACSYMA. Computer Algebra System
Palka, D.M.
1987-11-01
DOE-MACSYMA (Project MAC`s SYmbolic MAnipulation system) is a large computer programming system written in LISP. With DOE-MACSYMA the user can differentiate, integrate, take limits, solve systems of linear or polynomial equations, factor polynomials, expand functions in Laurent or Taylor series, solve differential equations (using direct or transform methods), compute Poisson series, plot curves, and manipulate matrices and tensors. A language similar to ALGOL-60 permits users to write their own programs for transforming symbolic expressions. Franz Lisp OPUS 38 provides the environment for the Encore, Celerity, and DEC VAX11 UNIX, SUN(OPUS) versions under UNIX and the Alliant version under Concentrix.
DOE-MACSYMA. Computer Algebra System
Lancaster, D.; Golan, D.
1990-11-01
DOE-MACSYMA (Project MAC`s SYmbolic MAnipulation system) is a large computer programming system written in LISP. With DOE-MACSYMA the user can differentiate, integrate, take limits, solve systems of linear or polynomial equations, factor polynomials, expand functions in Laurent or Taylor series, solve differential equations (using direct or transform methods), compute Poisson series, plot curves, and manipulate matrices and tensors. A language similar to ALGOL-60 permits users to write their own programs for transforming symbolic expressions. Kyoto Common Lisp (KCL) provides the environment for the SUN(KCL), Convex, and IBM PC under UNIX and Data General under AOS/VS.
VAXIMA. Computer Algebra System Under UNIX
Fateman, R.
1992-03-16
VAXIMA, derived from Project MAC`s SYmbolic MAnipulation system MACSYMA, is a large computer programming system written in LISP, used for performing symbolic as well as numerical mathematical manipulations. With VAXIMA, the user can differentiate, integrate, take limits, solve systems of linear or polynomial equations, factor polynomials, expand functions in Laurent or Taylor series, solve differential equations with direct or transform methods, compute Poisson series, plot curves, and manipulate matrices and tensors. A language similar to ALGOL-60 permits users to write their own program for transforming symbolic expressions. Franz Lisp OPUS 38 provides the environment for VAXIMA`s development and use on the DEC VAX11 executing under the Berkeley UNIX Release 4.2 operating system. An executable version of Lisp (the Lisp interpreter) and Liszt (the Lisp compiler) as well as the complete documentation files are included.
Inactivation of CRISPR-Cas systems by anti-CRISPR proteins in diverse bacterial species.
Pawluk, April; Staals, Raymond H J; Taylor, Corinda; Watson, Bridget N J; Saha, Senjuti; Fineran, Peter C; Maxwell, Karen L; Davidson, Alan R
2016-01-01
CRISPR-Cas systems provide sequence-specific adaptive immunity against foreign nucleic acids(1,2). They are present in approximately half of all sequenced prokaryotes(3) and are expected to constitute a major barrier to horizontal gene transfer. We previously described nine distinct families of proteins encoded in Pseudomonas phage genomes that inhibit CRISPR-Cas function(4,5). We have developed a bioinformatic approach that enabled us to discover additional anti-CRISPR proteins encoded in phages and other mobile genetic elements of diverse bacterial species. We show that five previously undiscovered families of anti-CRISPRs inhibit the type I-F CRISPR-Cas systems of both Pseudomonas aeruginosa and Pectobacterium atrosepticum, and a dual specificity anti-CRISPR inactivates both type I-F and I-E CRISPR-Cas systems. Mirroring the distribution of the CRISPR-Cas systems they inactivate, these anti-CRISPRs were found in species distributed broadly across the phylum Proteobacteria. Importantly, anti-CRISPRs originating from species with divergent type I-F CRISPR-Cas systems were able to inhibit the two systems we tested, highlighting their broad specificity. These results suggest that all type I-F CRISPR-Cas systems are vulnerable to inhibition by anti-CRISPRs. Given the widespread occurrence and promiscuous activity of the anti-CRISPRs described here, we propose that anti-CRISPRs play an influential role in facilitating the movement of DNA between prokaryotes by breaching the barrier imposed by CRISPR-Cas systems. PMID:27573108
DOE-MACSYMA. Computer Algebra System
O`dell, J.E.
1987-09-01
DOE-MACSYMA (Project MAC`s SYmbolic MAnipulation system) is a large computer programming system written in LISP. With DOE-MACSYMA the user can differentiate, integrate, take limits, solve systems of linear or polynomial equations, factor polynomials, expand functions in Laurent or Taylor series, solve differential equations (using direct or transform methods), compute Poisson series, plot curves, and manipulate matrices and tensors. A language similar to ALGOL-60 permits users to write their own programs for transforming symbolic expressions. Franz Lisp OPUS 38 provides the environment for the Encore, Celerity, and DEC VAX11 UNIX,SUN(OPUS) versions under UNIX and the Alliant version under Concentrix. Kyoto Common Lisp (KCL) provides the environment for the SUN(KCL),Convex, and IBM PC under UNIX and Data General under AOS/VS.
Inequalities, assessment and computer algebra
NASA Astrophysics Data System (ADS)
Sangwin, Christopher J.
2015-01-01
The goal of this paper is to examine single variable real inequalities that arise as tutorial problems and to examine the extent to which current computer algebra systems (CAS) can (1) automatically solve such problems and (2) determine whether students' own answers to such problems are correct. We review how inequalities arise in contemporary curricula. We consider the formal mathematical processes by which such inequalities are solved, and we consider the notation and syntax through which solutions are expressed. We review the extent to which current CAS can accurately solve these inequalities, and the form given to the solutions by the designers of this software. Finally, we discuss the functionality needed to deal with students' answers, i.e. to establish equivalence (or otherwise) of expressions representing unions of intervals. We find that while contemporary CAS accurately solve inequalities there is a wide variety of notation used.
Establishment of a highly efficient virus-inducible CRISPR/Cas9 system in insect cells.
Dong, Zhan-Qi; Chen, Ting-Ting; Zhang, Jun; Hu, Nan; Cao, Ming-Ya; Dong, Fei-Fan; Jiang, Ya-Ming; Chen, Peng; Lu, Cheng; Pan, Min-Hui
2016-06-01
Although current antiviral strategies can inhibit baculovirus infection and decrease viral DNA replication to a certain extent, novel tools are required for specific and accurate elimination of baculovirus genomes from infected insects. Using the newly developed clustered regularly interspaced short palindromic repeats/associated protein 9 nuclease (CRISPR/Cas9) technology, we disrupted a viral genome in infected insect cells in vitro as a defense against viral infection. We optimized the CRISPR/Cas9 system to edit foreign and viral genome in insect cells. Using Bombyx mori nucleopolyhedrovirus (BmNPV) as a model, we found that the CRISPR/Cas9 system was capable of cleaving the replication key factor ie-1 in BmNPV thus effectively inhibiting virus proliferation. Furthermore, we constructed a virus-inducible CRISPR/Cas9 editing system, which minimized the probability of off-target effects and was rapidly activated after viral infection. This is the first report describing the application of the CRISPR/Cas9 system in insect antiviral research. Establishment of a highly efficient virus-inducible CRISPR/Cas9 system in insect cells provides insights to produce virus-resistant transgenic strains for future. PMID:26979473
Establishment of a highly efficient virus-inducible CRISPR/Cas9 system in insect cells.
Dong, Zhan-Qi; Chen, Ting-Ting; Zhang, Jun; Hu, Nan; Cao, Ming-Ya; Dong, Fei-Fan; Jiang, Ya-Ming; Chen, Peng; Lu, Cheng; Pan, Min-Hui
2016-06-01
Although current antiviral strategies can inhibit baculovirus infection and decrease viral DNA replication to a certain extent, novel tools are required for specific and accurate elimination of baculovirus genomes from infected insects. Using the newly developed clustered regularly interspaced short palindromic repeats/associated protein 9 nuclease (CRISPR/Cas9) technology, we disrupted a viral genome in infected insect cells in vitro as a defense against viral infection. We optimized the CRISPR/Cas9 system to edit foreign and viral genome in insect cells. Using Bombyx mori nucleopolyhedrovirus (BmNPV) as a model, we found that the CRISPR/Cas9 system was capable of cleaving the replication key factor ie-1 in BmNPV thus effectively inhibiting virus proliferation. Furthermore, we constructed a virus-inducible CRISPR/Cas9 editing system, which minimized the probability of off-target effects and was rapidly activated after viral infection. This is the first report describing the application of the CRISPR/Cas9 system in insect antiviral research. Establishment of a highly efficient virus-inducible CRISPR/Cas9 system in insect cells provides insights to produce virus-resistant transgenic strains for future.
New Insight in Mathematics by Live CAS Documents.
ERIC Educational Resources Information Center
Cnop, Ivan
Traditional education in mathematics is mostly a matter of hindsight, and many mathematics texts offer little opportunity for students and learners to gain insight. This paper shows how experiments in CAS (computer algebra systems) can lead to new ways of handling problems, new conjectures, new visualizations, new proofs, new correspondences…
Prospective Mathematics Teachers' Interactions with CAS-Based Textbook Elements
ERIC Educational Resources Information Center
Davis, Jon D.
2015-01-01
This study investigated how a group of 10 prospective secondary mathematics teachers (PST) read, evaluated, and adapted a textbook lesson involving the symbolic manipulation capabilities of computer algebra systems (CASS). PST read the entire lesson and tended to focus on the organizing question at the beginning of the student lesson and the CAS-S…
Equivalent Expressions Using CAS and Paper-and-Pencil Techniques
ERIC Educational Resources Information Center
Fonger, Nicole L.
2014-01-01
How can the key concept of equivalent expressions be addressed so that students strengthen their representational fluency with symbols, graphs, and numbers? How can research inform the synergistic use of both paper-and-pencil analysis and computer algebra systems (CAS) in a classroom learning environment? These and other related questions have…
Problem Solving in Calculus with Symbolic Geometry and CAS
ERIC Educational Resources Information Center
Todd, Philip; Wiechmann, James
2008-01-01
Computer algebra systems (CAS) have been around for a number of years, as has dynamic geometry. Symbolic geometry software is new. It bears a superficial similarity to dynamic geometry software, but differs in that problems may be set up involving symbolic variables and constants, and measurements are given as symbolic expressions. Mathematical…
CRISPR-Cas Adaptive Immune Systems of the Sulfolobales: Unravelling Their Complexity and Diversity
Garrett, Roger A.; Shah, Shiraz A.; Erdmann, Susanne; Liu, Guannan; Mousaei, Marzieh; León-Sobrino, Carlos; Peng, Wenfang; Gudbergsdottir, Soley; Deng, Ling; Vestergaard, Gisle; Peng, Xu; She, Qunxin
2015-01-01
The Sulfolobales have provided good model organisms for studying CRISPR-Cas systems of the crenarchaeal kingdom of the archaea. These organisms are infected by a wide range of exceptional archaea-specific viruses and conjugative plasmids, and their CRISPR-Cas systems generally exhibit extensive structural and functional diversity. They carry large and multiple CRISPR loci and often multiple copies of diverse Type I and Type III interference modules as well as more homogeneous adaptation modules. These acidothermophilic organisms have recently provided seminal insights into both the adaptation process, the diverse modes of interference, and their modes of regulation. The functions of the adaptation and interference modules tend to be loosely coupled and the stringency of the crRNA-DNA sequence matching during DNA interference is relatively low, in contrast to some more streamlined CRISPR-Cas systems of bacteria. Despite this, there is evidence for a complex and differential regulation of expression of the diverse functional modules in response to viral infection. Recent work also supports critical roles for non-core Cas proteins, especially during Type III-directed interference, and this is consistent with these proteins tending to coevolve with core Cas proteins. Various novel aspects of CRISPR-Cas systems of the Sulfolobales are considered including an alternative spacer acquisition mechanism, reversible spacer acquisition, the formation and significance of antisense CRISPR RNAs, and a novel mechanism for avoidance of CRISPR-Cas defense. Finally, questions regarding the basis for the complexity, diversity, and apparent redundancy, of the intracellular CRISPR-Cas systems are discussed. PMID:25764276
Efficient Gene Knockout in Goats Using CRISPR/Cas9 System
Ni, Wei; Qiao, Jun; Hu, Shengwei; Zhao, Xinxia; Regouski, Misha; Yang, Min; Polejaeva, Irina A.; Chen, Chuangfu
2014-01-01
The CRISPR/Cas9 system has been adapted as an efficient genome editing tool in laboratory animals such as mice, rats, zebrafish and pigs. Here, we report that CRISPR/Cas9 mediated approach can efficiently induce monoallelic and biallelic gene knockout in goat primary fibroblasts. Four genes were disrupted simultaneously in goat fibroblasts by CRISPR/Cas9-mediated genome editing. The single-gene knockout fibroblasts were successfully used for somatic cell nuclear transfer (SCNT) and resulted in live-born goats harboring biallelic mutations. The CRISPR/Cas9 system represents a highly effective and facile platform for targeted editing of large animal genomes, which can be broadly applied to both biomedical and agricultural applications. PMID:25188313
Genome editing in Ustilago maydis using the CRISPR-Cas system.
Schuster, Mariana; Schweizer, Gabriel; Reissmann, Stefanie; Kahmann, Regine
2016-04-01
This communication describes the establishment of the type II bacterial CRISPR-Cas9 system to efficiently disrupt target genes in the fungal maize pathogen Ustilago maydis. A single step transformation of a self-replicating plasmid constitutively expressing the U. maydis codon-optimized cas9 gene and a suitable sgRNA under control of the U. maydis U6 snRNA promoter was sufficient to induce genome editing. On average 70% of the progeny of a single transformant were disrupted within the respective b gene. Without selection the self-replicating plasmid was lost rapidly allowing transient expression of the CRISPR-Cas9 system to minimize potential long-term negative effects of Cas9. This technology will be an important advance for the simultaneous disruption of functionally redundant genes and gene families to investigate their contribution to virulence of U. maydis.
Insert, remove or replace: A highly advanced genome editing system using CRISPR/Cas9.
Ceasar, S Antony; Rajan, Vinothkumar; Prykhozhij, Sergey V; Berman, Jason N; Ignacimuthu, S
2016-09-01
The clustered, regularly interspaced, short palindromic repeat (CRISPR) and CRISPR associated protein 9 (Cas9) system discovered as an adaptive immunity mechanism in prokaryotes has emerged as the most popular tool for the precise alterations of the genomes of diverse species. CRISPR/Cas9 system has taken the world of genome editing by storm in recent years. Its popularity as a tool for altering genomes is due to the ability of Cas9 protein to cause double-stranded breaks in DNA after binding with short guide RNA molecules, which can be produced with dramatically less effort and expense than required for production of transcription-activator like effector nucleases (TALEN) and zinc-finger nucleases (ZFN). This system has been exploited in many species from prokaryotes to higher animals including human cells as evidenced by the literature showing increasing sophistication and ease of CRISPR/Cas9 as well as increasing species variety where it is applicable. This technology is poised to solve several complex molecular biology problems faced in life science research including cancer research. In this review, we highlight the recent advancements in CRISPR/Cas9 system in editing genomes of prokaryotes, fungi, plants and animals and provide details on software tools available for convenient design of CRISPR/Cas9 targeting plasmids. We also discuss the future prospects of this advanced molecular technology. PMID:27350235
Numerical integration of systems of delay differential-algebraic equations
NASA Astrophysics Data System (ADS)
Kuznetsov, E. B.; Mikryukov, V. N.
2007-01-01
The numerical solution of the initial value problem for a system of delay differential-algebraic equations is examined in the framework of the parametric continuation method. Necessary and sufficient conditions are obtained for transforming this problem to the best argument, which ensures the best condition for the corresponding system of continuation equations. The best argument is the arc length along the integral curve of the problem. Algorithms and programs based on the continuous and discrete continuation methods are developed for the numerical integration of this problem. The efficiency of the suggested transformation is demonstrated using test examples.
MODEL IDENTIFICATION AND COMPUTER ALGEBRA
Bollen, Kenneth A.; Bauldry, Shawn
2011-01-01
Multiequation models that contain observed or latent variables are common in the social sciences. To determine whether unique parameter values exist for such models, one needs to assess model identification. In practice analysts rely on empirical checks that evaluate the singularity of the information matrix evaluated at sample estimates of parameters. The discrepancy between estimates and population values, the limitations of numerical assessments of ranks, and the difference between local and global identification make this practice less than perfect. In this paper we outline how to use computer algebra systems (CAS) to determine the local and global identification of multiequation models with or without latent variables. We demonstrate a symbolic CAS approach to local identification and develop a CAS approach to obtain explicit algebraic solutions for each of the model parameters. We illustrate the procedures with several examples, including a new proof of the identification of a model for handling missing data using auxiliary variables. We present an identification procedure for Structural Equation Models that makes use of CAS and that is a useful complement to current methods. PMID:21769158
MODEL IDENTIFICATION AND COMPUTER ALGEBRA.
Bollen, Kenneth A; Bauldry, Shawn
2010-10-01
Multiequation models that contain observed or latent variables are common in the social sciences. To determine whether unique parameter values exist for such models, one needs to assess model identification. In practice analysts rely on empirical checks that evaluate the singularity of the information matrix evaluated at sample estimates of parameters. The discrepancy between estimates and population values, the limitations of numerical assessments of ranks, and the difference between local and global identification make this practice less than perfect. In this paper we outline how to use computer algebra systems (CAS) to determine the local and global identification of multiequation models with or without latent variables. We demonstrate a symbolic CAS approach to local identification and develop a CAS approach to obtain explicit algebraic solutions for each of the model parameters. We illustrate the procedures with several examples, including a new proof of the identification of a model for handling missing data using auxiliary variables. We present an identification procedure for Structural Equation Models that makes use of CAS and that is a useful complement to current methods.
High-throughput screens in mammalian cells using the CRISPR-Cas9 system.
Peng, Jingyu; Zhou, Yuexin; Zhu, Shiyou; Wei, Wensheng
2015-06-01
As a powerful genome-editing tool, the clustered regularly interspaced short palindromic repeats (CRISPR)-clustered regularly interspaced short palindromic repeats-associated protein 9 (Cas9) system has been quickly developed into a large-scale function-based screening strategy in mammalian cells. This new type of genetic library is constructed through the lentiviral delivery of single-guide RNA collections that direct Cas9 or inactive dead Cas9 fused with effectors to interrogate gene function or regulate gene transcription in targeted cells. Compared with RNA interference screening, the CRISPR-Cas9 system demonstrates much higher levels of effectiveness and reliability with respect to both loss-of-function and gain-of-function screening. Unlike the RNA interference strategy, a CRISPR-Cas9 library can target both protein-coding sequences and regulatory elements, including promoters, enhancers and elements transcribing microRNAs and long noncoding RNAs. This powerful genetic tool will undoubtedly accelerate the mechanistic discovery of various biological processes. In this mini review, we summarize the general procedure of CRISPR-Cas9 library mediated functional screening, system optimization strategies and applications of this new genetic toolkit.
Phased-mission system analysis using Boolean algebraic methods
NASA Technical Reports Server (NTRS)
Somani, Arun K.; Trivedi, Kishor S.
1993-01-01
Most reliability analysis techniques and tools assume that a system is used for a mission consisting of a single phase. However, multiple phases are natural in many missions. The failure rates of components, system configuration, and success criteria may vary from phase to phase. In addition, the duration of a phase may be deterministic or random. Recently, several researchers have addressed the problem of reliability analysis of such systems using a variety of methods. A new technique for phased-mission system reliability analysis based on Boolean algebraic methods is described. Our technique is computationally efficient and is applicable to a large class of systems for which the failure criterion in each phase can be expressed as a fault tree (or an equivalent representation). Our technique avoids state space explosion that commonly plague Markov chain-based analysis. A phase algebra to account for the effects of variable configurations and success criteria from phase to phase was developed. Our technique yields exact (as opposed to approximate) results. The use of our technique was demonstrated by means of an example and present numerical results to show the effects of mission phases on the system reliability.
Incidence of Type II CRISPR1-Cas Systems in Enterococcus Is Species-Dependent
Lyons, Casandra; Raustad, Nicole; Bustos, Mario A.; Shiaris, Michael
2015-01-01
CRISPR-Cas systems, which obstruct both viral infection and incorporation of mobile genetic elements by horizontal transfer, are a specific immune response common to prokaryotes. Antiviral protection by CRISPR-Cas comes at a cost, as horizontally-acquired genes may increase fitness and provide rapid adaptation to habitat change. To date, investigations into the prevalence of CRISPR have primarily focused on pathogenic and clinical bacteria, while less is known about CRISPR dynamics in commensal and environmental species. We designed PCR primers and coupled these with DNA sequencing of products to detect and characterize the presence of cas1, a universal CRISPR-associated gene and proxy for the Type II CRISPR1-Cas system, in environmental and non-clinical Enterococcus isolates. CRISPR1-cas1 was detected in approximately 33% of the 275 strains examined, and differences in CRISPR1 carriage between species was significant. Incidence of cas1 in E. hirae was 73%, nearly three times that of E. faecalis (23.6%) and 10 times more frequent than in E. durans (7.1%). Also, this is the first report of CRISPR1 presence in E. durans, as well as in the plant-associated species E. casseliflavus and E. sulfureus. Significant differences in CRISPR1-cas1 incidence among Enterococcus species support the hypothesis that there is a tradeoff between protection and adaptability. The differences in the habitats of enterococcal species may exert varying selective pressure that results in a species-dependent distribution of CRISPR-Cas systems. PMID:26600384
Incidence of Type II CRISPR1-Cas Systems in Enterococcus Is Species-Dependent.
Lyons, Casandra; Raustad, Nicole; Bustos, Mario A; Shiaris, Michael
2015-01-01
CRISPR-Cas systems, which obstruct both viral infection and incorporation of mobile genetic elements by horizontal transfer, are a specific immune response common to prokaryotes. Antiviral protection by CRISPR-Cas comes at a cost, as horizontally-acquired genes may increase fitness and provide rapid adaptation to habitat change. To date, investigations into the prevalence of CRISPR have primarily focused on pathogenic and clinical bacteria, while less is known about CRISPR dynamics in commensal and environmental species. We designed PCR primers and coupled these with DNA sequencing of products to detect and characterize the presence of cas1, a universal CRISPR-associated gene and proxy for the Type II CRISPR1-Cas system, in environmental and non-clinical Enterococcus isolates. CRISPR1-cas1 was detected in approximately 33% of the 275 strains examined, and differences in CRISPR1 carriage between species was significant. Incidence of cas1 in E. hirae was 73%, nearly three times that of E. faecalis (23.6%) and 10 times more frequent than in E. durans (7.1%). Also, this is the first report of CRISPR1 presence in E. durans, as well as in the plant-associated species E. casseliflavus and E. sulfureus. Significant differences in CRISPR1-cas1 incidence among Enterococcus species support the hypothesis that there is a tradeoff between protection and adaptability. The differences in the habitats of enterococcal species may exert varying selective pressure that results in a species-dependent distribution of CRISPR-Cas systems. PMID:26600384
CRISPR-Cas9 systems: versatile cancer modelling platforms and promising therapeutic strategies.
Wen, Wan-Shun; Yuan, Zhi-Min; Ma, Shi-Jie; Xu, Jiang; Yuan, Dong-Tang
2016-03-15
The RNA-guided nuclease CRISPR-Cas9 (clustered regularly interspaced short palindromic repeats-CRISPR associated nuclease 9) and its variants such as nickase Cas9, dead Cas9, guide RNA scaffolds and RNA-targeting Cas9 are convenient and versatile platforms for site-specific genome editing and epigenome modulation. They are easy-to-use, simple-to-design and capable of targeting multiple loci simultaneously. Given that cancer develops from cumulative genetic and epigenetic alterations, CRISPR-Cas9 and its variants (hereafter referred to as CRISPR-Cas9 systems) hold extensive application potentials in cancer modeling and therapy. To date, they have already been applied to model oncogenic mutations in cell lines (e.g., Choi and Meyerson, Nat Commun 2014;5:3728) and in adult animals (e.g., Xue et al., Nature 2014;514:380-4), as well as to combat cancer by disabling oncogenic viruses (e.g., Hu et al., Biomed Res Int 2014;2014:612823) or by manipulating cancer genome (e.g., Liu et al., Nat Commun 2014;5:5393). Given the importance of epigenome and transcriptome in tumourigenesis, manipulation of cancer epigenome and transcriptome for cancer modeling and therapy is a promising area in the future. Whereas (epi)genetic modifications of cancer microenvironment with CRISPR-Cas9 systems for therapeutic purposes represent another promising area in cancer research. Herein, we introduce the functions and mechanisms of CRISPR-Cas9 systems in genome editing and epigenome modulation, retrospect their applications in cancer modelling and therapy, discuss limitations and possible solutions and propose future directions, in hope of providing concise and enlightening information for readers interested in this area.
Terao, Miho; Tamano, Moe; Hara, Satoshi; Kato, Tomoko; Kinoshita, Masato; Takada, Shuji
2016-01-01
The CRISPR/Cas9 system is a powerful genome editing tool for the production of genetically modified animals. To produce mutant mice, chimeric single-guide RNA (sgRNA) is cloned in a plasmid vector and a mixture of sgRNA and Cas9 are microinjected into the fertilized eggs. An issue associated with gene manipulation using the CRISPR/Cas9 system is that there can be off-target effects. To simplify the production of mutant mice with low risks of off-target effects caused by the CRISPR/Cas9 system, we demonstrated that genetically modified mice can be efficiently obtained using chemically synthesized CRISPR RNA (crRNA), trans-activating crRNA (tracrRNA), and modified Cas9s, such as the nickase version and FokI-fused catalytically inactive Cas9, by microinjection into fertilized eggs. Using this method, it is no longer necessary to clone sgRNA into a plasmid vector, and this enables high-throughput production of mutant mice. PMID:26972821
Geometric and algebraic properties of minimal bases of singular systems
NASA Astrophysics Data System (ADS)
Karcanias, Nicos
2013-11-01
For a general singular system ? with an associated pencil T(S), a complete classification of the right polynomial vector pairs ?, connected with the ? rational vector space, is given according to the proper-nonproper property, characterising the relationship of the degrees of those two vectors. An integral part of the classification of right pairs is the development of the notions of canonical and normal minimal bases for ? and ? rational vector spaces, where R(s) is the state restriction pencil of ?. It is shown that the notions of canonical and normal minimal bases are equivalent; the first notion characterises the pure algebraic aspect of the classification, whereas the second is intimately connected to the real geometry properties and the underlying generation mechanism of the proper and nonproper state vectors ?. The results describe the algebraic and geometric dimensions of the invariant partitioning of the set of reachability indices of singular systems. The classification of all proper and nonproper polynomial vectors ? induces a corresponding classification for the reachability spaces to proper-nonproper and results related to the possible dimensions feedback-spectra assignment properties of them are also given. The classification of minimal bases introduces new feedback invariants for singular systems, based on the real geometry of polynomial minimal bases, and provides an extension of the standard theory for proper systems (Warren, M.E., & Eckenberg, A.E. (1975).
Astronomy Education using the Web and a Computer Algebra System
NASA Astrophysics Data System (ADS)
Flurchick, K. M.; Culver, Roger B.; Griego, Ben
2013-04-01
The combination of a web server and a Computer Algebra System to provide students the ability to explore and investigate astronomical concepts presented in a class can help student understanding. This combination of technologies provides a framework to extend the classroom experience with independent student exploration. In this presentation we report on the developmen of this web based material and some initial results of students making use of the computational tools using webMathematica^TM. The material developed allow the student toanalyze and investigate a variety of astronomical phenomena, including topics such as the Runge-Lenz vector, descriptions of the orbits of some of the exo-planets, Bode' law and other topics related to celestial mechanics. The server based Computer Algebra System system allows for computations without installing software on the student's computer but provides a powerful environment to explore the various concepts. The current system is installed at North Carolina A&T State University and has been used in several undergraduate classes.
Robust algebraic image enhancement for intelligent control systems
NASA Technical Reports Server (NTRS)
Lerner, Bao-Ting; Morrelli, Michael
1993-01-01
Robust vision capability for intelligent control systems has been an elusive goal in image processing. The computationally intensive techniques a necessary for conventional image processing make real-time applications, such as object tracking and collision avoidance difficult. In order to endow an intelligent control system with the needed vision robustness, an adequate image enhancement subsystem capable of compensating for the wide variety of real-world degradations, must exist between the image capturing and the object recognition subsystems. This enhancement stage must be adaptive and must operate with consistency in the presence of both statistical and shape-based noise. To deal with this problem, we have developed an innovative algebraic approach which provides a sound mathematical framework for image representation and manipulation. Our image model provides a natural platform from which to pursue dynamic scene analysis, and its incorporation into a vision system would serve as the front-end to an intelligent control system. We have developed a unique polynomial representation of gray level imagery and applied this representation to develop polynomial operators on complex gray level scenes. This approach is highly advantageous since polynomials can be manipulated very easily, and are readily understood, thus providing a very convenient environment for image processing. Our model presents a highly structured and compact algebraic representation of grey-level images which can be viewed as fuzzy sets.
The explanation of the twin paradox using Poincare transformation and computer algebra system REDUCE
NASA Astrophysics Data System (ADS)
Hermanto, Arief
2012-06-01
We explain the twin (A and B) paradox using Poincare transformation (as the generalization of Lorentz transformation) in Special Relativity. We want to emphasize the fact that the paradox can really be explained in the context of Special Relativity. The twin A stays at home whereas B makes a round trip. We can still stay in Special Relativity if the non-inertial reference frame of B is in the form of a set of two inertial frames (K1 and K2) moving with different velocities with respect to a fixed inertial reference frame (K0) of A. K1 and K2 are each connected to K0 with Poincare Transformation. We use the CAS (computer algebra system) REDUCE to assist the computation. To make the discussion realistic and simpler we use rational numbers (so that we will get exact computational results) instead of symbols. The important point is that we will show how the fact can be understood by both parties (A and B) by simulating numerically the trip from the points of view of each A and B. A will accept the fact that B is younger and B will also accept the fact that A is older at the reunion. We hope the paradox will thus be explained away satisfactorily.
The CRISPR-Cas system - from bacterial immunity to genome engineering.
Czarnek, Maria; Bereta, Joanna
2016-09-01
Precise and efficient genome modifications present a great value in attempts to comprehend the roles of particular genes and other genetic elements in biological processes as well as in various pathologies. In recent years novel methods of genome modification known as genome editing, which utilize so called "programmable" nucleases, came into use. A true revolution in genome editing has been brought about by the introduction of the CRISP-Cas (clustered regularly interspaced short palindromic repeats-CRISPR associated) system, in which one of such nucleases, i.e. Cas9, plays a major role. This system is based on the elements of the bacterial and archaeal mechanism responsible for acquired immunity against phage infections and transfer of foreign genetic material. Microorganisms incorporate fragments of foreign DNA into CRISPR loci present in their genomes, which enables fast recognition and elimination of future infections. There are several types of CRISPR-Cas systems among prokaryotes but only elements of CRISPR type II are employed in genome engineering. CRISPR-Cas type II utilizes small RNA molecules (crRNA and tracrRNA) to precisely direct the effector nuclease - Cas9 - to a specific site in the genome, i.e. to the sequence complementary to crRNA. Cas9 may be used to: (i) introduce stable changes into genomes e.g. in the process of generation of knock-out and knock-in animals and cell lines, (ii) activate or silence the expression of a gene of interest, and (iii) visualize specific sites in genomes of living cells. The CRISPR-Cas-based tools have been successfully employed for generation of animal and cell models of a number of diseases, e.g. specific types of cancer. In the future, the genome editing by programmable nucleases may find wide application in medicine e.g. in the therapies of certain diseases of genetic origin and in the therapy of HIV-infected patients.
The CRISPR-Cas system - from bacterial immunity to genome engineering.
Czarnek, Maria; Bereta, Joanna
2016-01-01
Precise and efficient genome modifications present a great value in attempts to comprehend the roles of particular genes and other genetic elements in biological processes as well as in various pathologies. In recent years novel methods of genome modification known as genome editing, which utilize so called "programmable" nucleases, came into use. A true revolution in genome editing has been brought about by the introduction of the CRISP-Cas (clustered regularly interspaced short palindromic repeats-CRISPR associated) system, in which one of such nucleases, i.e. Cas9, plays a major role. This system is based on the elements of the bacterial and archaeal mechanism responsible for acquired immunity against phage infections and transfer of foreign genetic material. Microorganisms incorporate fragments of foreign DNA into CRISPR loci present in their genomes, which enables fast recognition and elimination of future infections. There are several types of CRISPR-Cas systems among prokaryotes but only elements of CRISPR type II are employed in genome engineering. CRISPR-Cas type II utilizes small RNA molecules (crRNA and tracrRNA) to precisely direct the effector nuclease - Cas9 - to a specific site in the genome, i.e. to the sequence complementary to crRNA. Cas9 may be used to: (i) introduce stable changes into genomes e.g. in the process of generation of knock-out and knock-in animals and cell lines, (ii) activate or silence the expression of a gene of interest, and (iii) visualize specific sites in genomes of living cells. The CRISPR-Cas-based tools have been successfully employed for generation of animal and cell models of a number of diseases, e.g. specific types of cancer. In the future, the genome editing by programmable nucleases may find wide application in medicine e.g. in the therapies of certain diseases of genetic origin and in the therapy of HIV-infected patients. PMID:27594566
Identifying and Visualizing Functional PAM Diversity across CRISPR-Cas Systems.
Leenay, Ryan T; Maksimchuk, Kenneth R; Slotkowski, Rebecca A; Agrawal, Roma N; Gomaa, Ahmed A; Briner, Alexandra E; Barrangou, Rodolphe; Beisel, Chase L
2016-04-01
CRISPR-Cas adaptive immune systems in prokaryotes boast a diversity of protein families and mechanisms of action, where most systems rely on protospacer-adjacent motifs (PAMs) for DNA target recognition. Here, we developed an in vivo, positive, and tunable screen termed PAM-SCANR (PAM screen achieved by NOT-gate repression) to elucidate functional PAMs as well as an interactive visualization scheme termed the PAM wheel to convey individual PAM sequences and their activities. PAM-SCANR and the PAM wheel identified known functional PAMs while revealing complex sequence-activity landscapes for the Bacillus halodurans I-C (Cascade), Escherichia coli I-E (Cascade), Streptococcus thermophilus II-A CRISPR1 (Cas9), and Francisella novicida V-A (Cpf1) systems. The PAM wheel was also readily applicable to existing high-throughput screens and garnered insights into SpyCas9 and SauCas9 PAM diversity. These tools offer powerful means of elucidating and visualizing functional PAMs toward accelerating our ability to understand and exploit the multitude of CRISPR-Cas systems in nature. PMID:27041224
The CRISPR/Cas9 system for gene editing and its potential application in pain research
Sun, Linlin; Lutz, Brianna Marie; Tao, Yuan-Xiang
2016-01-01
The CRISPR/Cas9 system is a research hotspot in genome editing and regulation. Currently, it is used in genomic silencing and knock-in experiments as well as transcriptional activation and repression. This versatile system consists of two components: a guide RNA (gRNA) and a Cas9 nuclease. Recognition of a genomic DNA target is mediated through base pairing with a 20-base gRNA. The latter further recruits the Cas9 endonuclease protein to the target site and creates double-stranded breaks in the target DNA. Compared with traditional genome editing directed by DNA-binding protein domains, this short RNA-directed Cas9 endonuclease system is simple and easily programmable. Although this system may have off-target effects and in vivo delivery and immune challenges, researchers have employed this system in vivo to establish disease models, study specific gene functions under certain disease conditions, and correct genomic information for disease treatment. In regards to pain research, the CRISPR/Cas9 system may act as a novel tool in gene correction therapy for pain-associated hereditary diseases and may be a new approach for RNA-guided transcriptional activation or repression of pain-related genes. In addition, this system is also applied to loss-of-function mutations in pain-related genes and knockin of reporter genes or loxP tags at pain-related genomic loci. The CRISPR/Cas9 system will likely be carried out widely in both bench work and clinical settings in the pain field. PMID:27500183
A light-inducible CRISPR/Cas9 system for control of endogenous gene activation
Polstein, Lauren R.; Gersbach, Charles A.
2015-01-01
Optogenetic systems enable precise spatial and temporal control of cell behavior. We engineered a light-activated CRISPR/Cas9 effector (LACE) system that induces transcription of endogenous genes in the presence of blue light. This was accomplished by fusing the light-inducible heterodimerizing proteins CRY2 and CIB1 to a transactivation domain and the catalytically inactive dCas9, respectively. The versatile LACE system can be easily directed to new DNA sequences for the dynamic regulation of endogenous genes. PMID:25664691
Efficient Targeted Genome Modification in Maize Using CRISPR/Cas9 System.
Feng, Chao; Yuan, Jing; Wang, Rui; Liu, Yang; Birchler, James A; Han, Fangpu
2016-01-20
CRISPR (clustered regularly interspaced short palindromic repeats)/Cas9 system, which is a newly developed technology for targeted genome modification, has been successfully used in a number of species. In this study, we applied this technology to carry out targeted genome modification in maize. A marker gene Zmzb7 was chosen for targeting. The sgRNA-Cas9 construct was transformed into maize protoplasts, and indel (insertion and deletion) mutations could be detected. A mutant seedling with an expected albino phenotype was obtained from screening 120 seedlings generated from 10 callus events. Mutation efficiency in maize heterochromatic regions was also investigated. Twelve sites with different expression levels in maize centromeres or pericentromere regions were selected. The sgRNA-Cas9 constructs were transformed into protoplasts followed by sequencing the transformed protoplast genomic DNA. The results show that the genes in heterochromatic regions could be targeted by the CRISPR/Cas9 system efficiently, no matter whether they are expressed or not. Meanwhile, off-target mutations were not found in the similar sites having no PAM (protospacer adjacent motif) or having more than two mismatches. Together, our results show that the CRISPR/Cas9 system is a robust and efficient tool for genome modification in both euchromatic and heterochromatic regions in maize. PMID:26842992
Efficient Targeted Genome Modification in Maize Using CRISPR/Cas9 System.
Feng, Chao; Yuan, Jing; Wang, Rui; Liu, Yang; Birchler, James A; Han, Fangpu
2016-01-20
CRISPR (clustered regularly interspaced short palindromic repeats)/Cas9 system, which is a newly developed technology for targeted genome modification, has been successfully used in a number of species. In this study, we applied this technology to carry out targeted genome modification in maize. A marker gene Zmzb7 was chosen for targeting. The sgRNA-Cas9 construct was transformed into maize protoplasts, and indel (insertion and deletion) mutations could be detected. A mutant seedling with an expected albino phenotype was obtained from screening 120 seedlings generated from 10 callus events. Mutation efficiency in maize heterochromatic regions was also investigated. Twelve sites with different expression levels in maize centromeres or pericentromere regions were selected. The sgRNA-Cas9 constructs were transformed into protoplasts followed by sequencing the transformed protoplast genomic DNA. The results show that the genes in heterochromatic regions could be targeted by the CRISPR/Cas9 system efficiently, no matter whether they are expressed or not. Meanwhile, off-target mutations were not found in the similar sites having no PAM (protospacer adjacent motif) or having more than two mismatches. Together, our results show that the CRISPR/Cas9 system is a robust and efficient tool for genome modification in both euchromatic and heterochromatic regions in maize.
Li, Shenglan; Xue, Haipeng; Long, Bo; Sun, Li; Truong, Tai; Liu, Ying
2015-05-28
Gene targeting is a critical approach for characterizing gene functions in modern biomedical research. However, the efficiency of gene targeting in human cells has been low, which prevents the generation of human cell lines at a desired rate. The past two years have witnessed a rapid progression on improving efficiency of genetic manipulation by genome editing tools such as the CRISPR (Clustered Regularly Interspaced Short Palindromic Repeats)/Cas (CRISPR-associated) system. This manuscript describes a protocol for generating lineage specific human induced pluripotent stem cell (hiPSC) reporters using CRISPR/Cas system assisted homologous recombination. Procedures for obtaining necessary components for making neural lineage reporter lines using the CRISPR/Cas system, focusing on construction of targeting vectors and single guide RNAs, are described. This protocol can be extended to platform establishment and mutation correction in hiPSCs.
Major bacterial lineages are essentially devoid of CRISPR-Cas viral defence systems
Burstein, David; Sun, Christine L.; Brown, Christopher T.; Sharon, Itai; Anantharaman, Karthik; Probst, Alexander J.; Thomas, Brian C.; Banfield, Jillian F.
2016-01-01
Current understanding of microorganism–virus interactions, which shape the evolution and functioning of Earth's ecosystems, is based primarily on cultivated organisms. Here we investigate thousands of viral and microbial genomes recovered using a cultivation-independent approach to study the frequency, variety and taxonomic distribution of viral defence mechanisms. CRISPR-Cas systems that confer microorganisms with immunity to viruses are present in only 10% of 1,724 sampled microorganisms, compared with previous reports of 40% occurrence in bacteria and 81% in archaea. We attribute this large difference to the lack of CRISPR-Cas systems across major bacterial lineages that have no cultivated representatives. We correlate absence of CRISPR-Cas with lack of nucleotide biosynthesis capacity and a symbiotic lifestyle. Restriction systems are well represented in these lineages and might provide both non-specific viral defence and access to nucleotides. PMID:26837824
Major bacterial lineages are essentially devoid of CRISPR-Cas viral defence systems
Burstein, David; Sun, Christine L.; Brown, Christopher T.; Sharon, Itai; Anantharaman, Karthik; Probst, Alexander J.; Thomas, Brian C.; Banfield, Jillian F.
2016-02-03
Here, current understanding of microorganism–virus interactions, which shape the evolution and functioning of Earth’s ecosystems, is based primarily on cultivated organisms. Here we investigate thousands of viral and microbial genomes recovered using a cultivation independent approach to study the frequency, variety and taxonomic distribution of viral defence mechanisms. CRISPR-Cas systems that confer microorganisms with immunity to viruses are present in only 10% of 1,724 sampled microorganisms, compared with previous reports of 40% occurrence in bacteria and 81% in archaea. We attribute this large difference to the lack of CRISPR-Cas systems across major bacterial lineages that have no cultivated representatives. Wemore » correlate absence of CRISPR-Cas with lack of nucleotide biosynthesis capacity and a symbiotic lifestyle. Restriction systems are well represented in these lineages and might provide both non-specific viral defence and access to nucleotides.« less
Multiplex conditional mutagenesis in zebrafish using the CRISPR/Cas system.
Yin, L; Maddison, L A; Chen, W
2016-01-01
The clustered regularly interspaced short palindromic repeat (CRISPR)/CRISPR-associated protein (Cas) system is a powerful tool for genome editing in numerous organisms. However, the system is typically used for gene editing throughout the entire organism. Tissue and temporal specific mutagenesis is often desirable to determine gene function in a specific stage or tissue and to bypass undesired consequences of global mutations. We have developed the CRISPR/Cas system for conditional mutagenesis in transgenic zebrafish using tissue-specific and/or inducible expression of Cas9 and U6-driven expression of sgRNA. To allow mutagenesis of multiple targets, we have isolated four distinct U6 promoters and designed Golden Gate vectors to easily assemble transgenes with multiple sgRNAs. We provide experimental details on the reagents and applications for multiplex conditional mutagenesis in zebrafish. PMID:27443918
ERIC Educational Resources Information Center
Harris, Gary A.
2000-01-01
Discusses the use of a computer algebra system in a capstone mathematics course for undergraduate mathematics majors preparing to teach secondary school mathematics. Provides sample exercises intended to demonstrate how the power of a computer algebra system such as MAPLE can contribute to desired outcomes including reinforcing and strengthening…
Programmable plasmid interference by the CRISPR-Cas system in Thermococcus kodakarensis
Elmore, Joshua R.; Yokooji, Yuusuke; Sato, Takaaki; Olson, Sara; Glover, III, Claiborne V.C.; Graveley, Brenton R.; Atomi, Haruyuki; Terns, Rebecca M.; Terns, Michael P.
2013-01-01
CRISPR-Cas systems are RNA-guided immune systems that protect prokaryotes against viruses and other invaders. The CRISPR locus encodes crRNAs that recognize invading nucleic acid sequences and trigger silencing by the associated Cas proteins. There are multiple CRISPR-Cas systems with distinct compositions and mechanistic processes. Thermococcus kodakarensis (Tko) is a hyperthermophilic euryarchaeon that has both a Type I-A Csa and a Type I-B Cst CRISPR-Cas system. We have analyzed the expression and composition of crRNAs from the three CRISPRs in Tko by RNA deep sequencing and northern analysis. Our results indicate that crRNAs associated with these two CRISPR-Cas systems include an 8-nucleotide conserved sequence tag at the 5′ end. We challenged Tko with plasmid invaders containing sequences targeted by endogenous crRNAs and observed active CRISPR-Cas-mediated silencing. Plasmid silencing was dependent on complementarity with a crRNA as well as on a sequence element found immediately adjacent to the crRNA recognition site in the target termed the PAM (protospacer adjacent motif). Silencing occurred independently of the orientation of the target sequence in the plasmid, and appears to occur at the DNA level, presumably via DNA degradation. In addition, we have directed silencing of an invader plasmid by genetically engineering the chromosomal CRISPR locus to express customized crRNAs directed against the plasmid. Our results support CRISPR engineering as a feasible approach to develop prokaryotic strains that are resistant to infection for use in industry. PMID:23535213
ERIC Educational Resources Information Center
Kranzler, John H.; Keith, Timothy Z.
1999-01-01
Uses confirmatory factor analysis (CFA) to address unresolved issues concerning the structure of the Cognitive Assessment System, a test of intelligence based upon the planning, attention, and simultaneous-successive (PASS) processes theory of human cognition. Results reveal that the CFA of the standardization data do not support use of the CAS…
Abedi-Fardad, J.; Rezaei-Aghdam, A.; Haghighatdoost, Gh.
2014-05-15
We construct integrable and superintegrable Hamiltonian systems using the realizations of four dimensional real Lie algebras as a symmetry of the system with the phase space R{sup 4} and R{sup 6}. Furthermore, we construct some integrable and superintegrable Hamiltonian systems for which the symmetry Lie group is also the phase space of the system.
Combining Automated Theorem Provers with Symbolic Algebraic Systems: Position Paper
NASA Technical Reports Server (NTRS)
Schumann, Johann; Koga, Dennis (Technical Monitor)
1999-01-01
In contrast to pure mathematical applications where automated theorem provers (ATPs) are quite capable, proof tasks arising form real-world applications from the area of Software Engineering show quite different characteristics: they usually do not only contain much arithmetic (albeit often quite simple one), but they also often contain reasoning about specific structures (e.g. graphics, sets). Thus, an ATP must be capable of performing reasoning together with a fair amount of simplification, calculation and solving. Therefore, powerful simplifiers and other (symbolic and semi-symbolic) algorithms seem to be ideally suited to augment ATPs. In the following we shortly describe two major points of interest in combining SASs (symbolic algebraic systems) with top-down automated theorem provers (here: SETHEO [Let92, GLMS94]).
A novel sgRNA selection system for CRISPR-Cas9 in mammalian cells.
Zhang, Haiwei; Zhang, Xixi; Fan, Cunxian; Xie, Qun; Xu, Chengxian; Zhao, Qun; Liu, Yongbo; Wu, Xiaoxia; Zhang, Haibing
2016-03-18
CRISPR-Cas9 mediated genome editing system has been developed as a powerful tool for elucidating the function of genes through genetic engineering in multiple cells and organisms. This system takes advantage of a single guide RNA (sgRNA) to direct the Cas9 endonuclease to a specific DNA site to generate mutant alleles. Since the targeting efficiency of sgRNAs to distinct DNA loci can vary widely, there remains a need for a rapid, simple and efficient sgRNA selection method to overcome this limitation of the CRISPR-Cas9 system. Here we report a novel system to select sgRNA with high efficacy for DNA sequence modification by a luciferase assay. Using this sgRNAs selection system, we further demonstrated successful examples of one sgRNA for generating one gene knockout cell lines where the targeted genes are shown to be functionally defective. This system provides a potential application to optimize the sgRNAs in different species and to generate a powerful CRISPR-Cas9 genome-wide screening system with minimum amounts of sgRNAs.
A novel sgRNA selection system for CRISPR-Cas9 in mammalian cells.
Zhang, Haiwei; Zhang, Xixi; Fan, Cunxian; Xie, Qun; Xu, Chengxian; Zhao, Qun; Liu, Yongbo; Wu, Xiaoxia; Zhang, Haibing
2016-03-18
CRISPR-Cas9 mediated genome editing system has been developed as a powerful tool for elucidating the function of genes through genetic engineering in multiple cells and organisms. This system takes advantage of a single guide RNA (sgRNA) to direct the Cas9 endonuclease to a specific DNA site to generate mutant alleles. Since the targeting efficiency of sgRNAs to distinct DNA loci can vary widely, there remains a need for a rapid, simple and efficient sgRNA selection method to overcome this limitation of the CRISPR-Cas9 system. Here we report a novel system to select sgRNA with high efficacy for DNA sequence modification by a luciferase assay. Using this sgRNAs selection system, we further demonstrated successful examples of one sgRNA for generating one gene knockout cell lines where the targeted genes are shown to be functionally defective. This system provides a potential application to optimize the sgRNAs in different species and to generate a powerful CRISPR-Cas9 genome-wide screening system with minimum amounts of sgRNAs. PMID:26879140
Wang, Yu; Wei, Dongsheng; Zhu, Xiangyang; Pan, Jiao; Zhang, Ping; Huo, Liang; Zhu, Xudong
2016-01-01
Loss-of-function mutagenesis is an important tool used to characterize gene functions, and the CRISPR-Cas9 system is a powerful method for performing targeted mutagenesis in organisms that present low recombination frequencies, such as the serotype D strains of Cryptococcus neoformans. However, when the CRISPR-Cas9 system persists in the host cells, off-target effects and Cas9 cytotoxicity may occur, which might block subsequent genetic manipulation. Here, we report a method of spontaneously eliminating the CRISPR-Cas9 system without impairing its robust editing function. We successfully expressed single guide RNA under the driver of an endogenous U6 promoter and the human codon-optimized Cas9 endonuclease with an ACT1 promoter. This system can effectively generate an indel mutation and efficiently perform targeted gene disruption via homology-directed repair by electroporation in yeast. We then demonstrated the spontaneous elimination of the system via a cis arrangement of the CRISPR-Cas9 expression cassettes to the recombination construct. After a system-mediated double crossover, the CRISPR-Cas9 cassettes were cleaved and degraded, which was validated by Southern blotting. This 'suicide' CRISPR-Cas9 system enables the validation of gene functions by subsequent complementation and has the potential to minimize off-target effects. Thus, this technique has the potential for use in functional genomics studies of C. neoformans. PMID:27503169
Wang, Yu; Wei, Dongsheng; Zhu, Xiangyang; Pan, Jiao; Zhang, Ping; Huo, Liang; Zhu, Xudong
2016-08-09
Loss-of-function mutagenesis is an important tool used to characterize gene functions, and the CRISPR-Cas9 system is a powerful method for performing targeted mutagenesis in organisms that present low recombination frequencies, such as the serotype D strains of Cryptococcus neoformans. However, when the CRISPR-Cas9 system persists in the host cells, off-target effects and Cas9 cytotoxicity may occur, which might block subsequent genetic manipulation. Here, we report a method of spontaneously eliminating the CRISPR-Cas9 system without impairing its robust editing function. We successfully expressed single guide RNA under the driver of an endogenous U6 promoter and the human codon-optimized Cas9 endonuclease with an ACT1 promoter. This system can effectively generate an indel mutation and efficiently perform targeted gene disruption via homology-directed repair by electroporation in yeast. We then demonstrated the spontaneous elimination of the system via a cis arrangement of the CRISPR-Cas9 expression cassettes to the recombination construct. After a system-mediated double crossover, the CRISPR-Cas9 cassettes were cleaved and degraded, which was validated by Southern blotting. This 'suicide' CRISPR-Cas9 system enables the validation of gene functions by subsequent complementation and has the potential to minimize off-target effects. Thus, this technique has the potential for use in functional genomics studies of C. neoformans.
Wang, Yu; Wei, Dongsheng; Zhu, Xiangyang; Pan, Jiao; Zhang, Ping; Huo, Liang; Zhu, Xudong
2016-01-01
Loss-of-function mutagenesis is an important tool used to characterize gene functions, and the CRISPR-Cas9 system is a powerful method for performing targeted mutagenesis in organisms that present low recombination frequencies, such as the serotype D strains of Cryptococcus neoformans. However, when the CRISPR-Cas9 system persists in the host cells, off-target effects and Cas9 cytotoxicity may occur, which might block subsequent genetic manipulation. Here, we report a method of spontaneously eliminating the CRISPR-Cas9 system without impairing its robust editing function. We successfully expressed single guide RNA under the driver of an endogenous U6 promoter and the human codon-optimized Cas9 endonuclease with an ACT1 promoter. This system can effectively generate an indel mutation and efficiently perform targeted gene disruption via homology-directed repair by electroporation in yeast. We then demonstrated the spontaneous elimination of the system via a cis arrangement of the CRISPR-Cas9 expression cassettes to the recombination construct. After a system-mediated double crossover, the CRISPR-Cas9 cassettes were cleaved and degraded, which was validated by Southern blotting. This ‘suicide’ CRISPR-Cas9 system enables the validation of gene functions by subsequent complementation and has the potential to minimize off-target effects. Thus, this technique has the potential for use in functional genomics studies of C. neoformans. PMID:27503169
Application of CRISPR/Cas9 system in breeding of new antiviral plant germplasm.
Daowei, Zhang; Chaofan, Zhang; Fang, Dong; Yanlan, Huang; Ya, Zhang; Hong, Zhou
2016-09-01
With the development and improvement of CRISPR/Cas9 system in genomic editing technology, the system has been applied to the prevention and control of animal viral infectious diseases, which has made considerable achievements. It has also been applied to the study of highly efficient gene targeting editing in plant virus genomes. The CRISPR/Cas9-mediated targeted gene modification has not only achieved the genome editing of plant DNA virus, but also showed the genome editing potential of plant RNA virus. In addition, the CRISPR/Cas9 system functions at the gene transcriptional and post-transcriptional level, indicating that the system could regulate the replication of plant viruses through different ways. Compared with other plant viral disease control strategies, this system is more accurate in genome editing, more stable in gene expression regulation, and has broader spectrum of resistance to virus disease. In this review, we summarized the advantages, main problems and development tendency of CRISPR/cas9 system in breeding of new antiviral plant germplasms. PMID:27644742
Applications of the CRISPR-Cas9 system in cancer biology
Sánchez-Rivera, Francisco J.; Jacks, Tyler
2015-01-01
Preface The prokaryotic type II clustered regularly interspaced short palindromic repeats (CRISPR)-Cas9 system is rapidly revolutionizing the field of genetic engineering, allowing researchers to alter the genomes of a large variety of organisms with relative ease. Experimental approaches based on this versatile technology have the potential to transform the field of cancer genetics. Here we review current approaches based on CRISPR-Cas9 for functional studies of cancer genes, with emphasis on its applicability for the development of the next-generation models of human cancer. PMID:26040603
The Design of a System to Support Exploratory Learning of Algebraic Generalisation
ERIC Educational Resources Information Center
Noss, Richard; Poulovassilis, Alexandra; Geraniou, Eirini; Gutierrez-Santos, Sergio; Hoyles, Celia; Kahn, Ken; Magoulas, George D.; Mavrikis, Manolis
2012-01-01
This paper charts the design and application of a system to support 11-14 year old students' learning of algebraic generalisation, presenting students with the means to develop their understanding of the meaning of generality, see its power for mathematics and develop algebraic ways of thinking. We focus squarely on design, while taking account of…
The Effect of an Intelligent Tutoring System (ITS) on Student Achievement in Algebraic Expression
ERIC Educational Resources Information Center
Chien, Tsai Chen; Md. Yunus, Aida Suraya; Ali, Wan Zah Wan; Bakar, Ab. Rahim
2008-01-01
In this experimental study, use of Computer Assisted Instruction (CAI) followed by use of an Intelligent Tutoring System (CAI+ITS) was compared to the use of CAI (CAI only) in tutoring students on the topic of Algebraic Expression. Two groups of students participated in the study. One group of 32 students studied algebraic expression in a CAI…
Generation of VDR Knock-Out Mice via Zygote Injection of CRISPR/Cas9 System
Zhang, Tao; Yin, Yajun; Liu, Huan; Du, Weili; Ren, Chonghua; Wang, Ling; Lu, Hongzhao; Zhang, Zhiying
2016-01-01
CRISPR/Cas9 system has become a new versatile technology for genome engineering in various species. To achieve targeted modifications at the same site in both human and mice genomes by a CRISPR/Cas9 nuclease, we designed two target sites in conserved regions of vitamin D receptor (VDR) gene, which cover more than 17 kb of chromosome region depending on the species. We first validated the efficacy of single sgRNA mediated gene specific modifications were 36% and 31% in HEK293T cells. Concurrently, targeted of the intervening genomic segments deletions were generated in chromosomes when two sgRNAs worked simultaneously. The large genomic DNA segments up to 23.4 Kb could be precisely deleted in human chromosomes. Subsequently, Cas9 mRNA and sgRNAs targeting VDRT1 and VDRT2 were co-microinjected into one-cell-stage embryos of C57BL/6 mice. Verified by T7E1 assay and DNA sequencing analysis, 12 mice showed VDR targeted disruption and 8 of which were biallelic knock-out, which demonstrated obvious phenotype of hair thinning. Furthermore, expression changes of Vitamin D metabolism genes in VDR-/-mice were detected. These results indicated that CRISPR/Cas9 mediated knock-out of VDR diminished its gene function in vivo. The off-target effects of CRISPR/Cas9 in VDR-/- founder mice were analyzed. Our results showed that CRISPR/Cas9 system could be employed to target the same sites in different species, when sgRNAs are designed within conserved regions, and therefore will be critically important and applicable for human disease model. PMID:27685656
NASA Astrophysics Data System (ADS)
Lind Pantzare, Anna
2012-10-01
Calculators with computer algebra systems (CAS) are powerful tools when working with equations and algebraic expressions in mathematics. When calculators are allowed to be used during assessments but are not available or provided to every student, they may cause bias. The CAS calculators may also have an impact on the trustworthiness of results. In this study students' use of the CAS calculator in their work with released assessment items from TIMSS Advanced 2008 is studied using two approaches. Eight students familiar with CAS, from two mathematics classes in the 12th form, were video filmed when encouraged to think aloud during their work with the items. In addition, a questionnaire was distributed to all 33 students in the two classes who had been working with a CAS. The main finding is that even if the students are used to working with the CAS calculator, they are not using the calculator to a large extent. The analysis indicates that the difference in performance between the high- and low-achieving students has slightly increased due to the use of the calculator. From a validity perspective one could therefore argue that the CAS calculator is no major threat to the trustworthiness of the assessment. Nevertheless, the result indicates that those students in the study, mainly high achieving, who know how to use the CAS calculator, get an additional advantage. The advantage brings an amount of unfairness into the assessment and could be a threat to the trustworthiness and fairness.
Applications of computer algebra to distributed parameter systems
NASA Technical Reports Server (NTRS)
Storch, Joel A.
1993-01-01
In the analysis of vibrations of continuous elastic systems, one often encounters complicated transcendental equations with roots directly related to the system's natural frequencies. Typically, these equations contain system parameters whose values must be specified before a numerical solution can be obtained. The present paper presents a method whereby the fundamental frequency can be obtained in analytical form to any desired degree of accuracy. The method is based upon truncation of rapidly converging series involving inverse powers of the system natural frequencies. A straightforward method to developing these series and summing them in closed form is presented. It is demonstrated how Computer Algebra can be exploited to perform the intricate analytical procedures which otherwise would render the technique difficult to apply in practice. We illustrate the method by developing two analytical approximations to the fundamental frequency of a vibrating cantilever carrying a rigid tip body. The results are compared to the numerical solution of the exact (transcendental) frequency equation over a range of system parameters.
Targeted mutagenesis in Zea mays using TALENs and the CRISPR/Cas system.
Liang, Zhen; Zhang, Kang; Chen, Kunling; Gao, Caixia
2014-02-20
Transcription activator-like effector nucleases (TALENs) and clustered regularly interspaced short palindromic repeats (CRISPR)/CRISPR-associated (Cas) systems have emerged as powerful tools for genome editing in a variety of species. Here, we report, for the first time, targeted mutagenesis in Zea mays using TALENs and the CRISPR/Cas system. We designed five TALENs targeting 4 genes, namely ZmPDS, ZmIPK1A, ZmIPK, ZmMRP4, and obtained targeting efficiencies of up to 23.1% in protoplasts, and about 13.3% to 39.1% of the transgenic plants were somatic mutations. Also, we constructed two gRNAs targeting the ZmIPK gene in maize protoplasts, at frequencies of 16.4% and 19.1%, respectively. In addition, the CRISPR/Cas system induced targeted mutations in Z. mays protoplasts with efficiencies (13.1%) similar to those obtained with TALENs (9.1%). Our results show that both TALENs and the CRISPR/Cas system can be used for genome modification in maize.
Second Line of Defense Virtual Private Network Guidance for Deployed and New CAS Systems
Singh, Surya V.; Thronas, Aaron I.
2010-01-01
This paper discusses the importance of remote access via virtual private network (VPN) for the Second Line of Defense (SLD) Central Alarm System (CAS) sites, the requirements for maintaining secure channels while using VPN and implementation requirements for current and future sites.
ERIC Educational Resources Information Center
Cavanagh, Sean
2009-01-01
As educators and policymakers search for ways to prepare students for the rigors of algebra, teachers in the Helena, Montana, school system are starting early by attempting to nurture students' algebraic-reasoning ability, as well as their basic number skills, in early elementary school, rather than waiting until middle or early high school.…
Functional analysis of Bombyx Wnt1 during embryogenesis using the CRISPR/Cas9 system.
Zhang, Zhongjie; Aslam, Abu F M; Liu, Xiaojing; Li, Muwang; Huang, Yongping; Tan, Anjiang
2015-08-01
Recently established, custom-designed nuclease technologies such as the clustered regularly interspaced short palindromic repeat (CRISPR)-associated system provide attractive genome editing tools. Targeted gene mutagenesis using the CRISPR/Cas9 system has been achieved in several orders of insects. However, outside of studies on Drosophila melanogaster and the lepidopteron model insect Bombyx mori, little success has been reported, which is largely due to a lack of effective genetic manipulation tools that can be used in other insect orders. To create a simple and effective method of gene knockout analysis, especially for dissecting gene functioning during insect embryogenesis, we performed a functional analysis of the Bombyx Wnt1 (BmWnt1) gene using Cas9/sgRNA-mediated gene mutagenesis. The Wnt1 gene is required for embryonic patterning in various organisms, and its crucial roles during embryogenesis have been demonstrated in several insect orders. Direct injection of Cas9 mRNA and BmWnt1-specific sgRNA into Bombyx embryos induced a typical Wnt-deficient phenotype: injected embryos could not hatch and exhibited severe defects in body segmentation and pigmentation in a dose-dependent manner. Quantitative real-time PCR (qRT-PCR) analysis revealed that Hox genes were down-regulated after BmWnt1 depletion. Furthermore, large deletion, up to 18Kb, ware generated. The current study demonstrates that using the CRISPR/Cas9 system is a promising approach to achieve targeted gene mutagenesis during insect embryogenesis. PMID:26070541
Multigene knockout utilizing off-target mutations of the CRISPR/Cas9 system in rice.
Endo, Masaki; Mikami, Masafumi; Toki, Seiichi
2015-01-01
The clustered regularly interspaced short palindromic repeat (CRISPR)-associated endonuclease 9 (CRISPR/Cas9) system has been demonstrated to be a robust genome engineering tool in a variety of organisms including plants. However, it has been shown that the CRISPR/Cas9 system cleaves genomic DNA sequences containing mismatches to the guide RNA strand. We expected that this low specificity could be exploited to induce multihomeologous and multiparalogous gene knockouts. In the case of polyploid plants, simultaneous modification of multiple homeologous genes, i.e. genes with similar but not identical DNA sequences, is often needed to obtain a desired phenotype. Even in diploid plants, disruption of multiparalogous genes, which have functional redundancy, is often needed. To validate the applicability of the CRISPR/Cas9 system to target mutagenesis of paralogous genes in rice, we designed a single-guide RNA (sgRNA) that recognized 20 bp sequences of cyclin-dependent kinase B2 (CDKB2) as an on-target locus. These 20 bp possess similarity to other rice CDK genes (CDKA1, CDKA2 and CDKB1) with different numbers of mismatches. We analyzed mutations in these four CDK genes in plants regenerated from Cas9/sgRNA-transformed calli and revealed that single, double and triple mutants of CDKA2, CDKB1 and CDKB2 can be created by a single sgRNA.
Optimization of a multiplex CRISPR/Cas system for use as an antiviral therapeutic.
Kennedy, Edward M; Kornepati, Anand V R; Mefferd, Adam L; Marshall, Joy B; Tsai, Kevin; Bogerd, Hal P; Cullen, Bryan R
2015-12-01
RNA-guided endonucleases or CRISPR/Cas systems have been widely employed for gene engineering/DNA editing applications, and have recently been used against a variety of dsDNA viruses as a potential therapeutic. However, in vivo delivery to specific tissue reservoirs using adeno-associated virus (AAV) vectors is problematic due to the large coding requirement for the principal effector commonly used in these applications, Streptococcus pyogenes (Spy) Cas9. Here we describe design of a minimal CRISPR/Cas system that is capable of multiplexing and can be packaged into a single AAV vector. This system consists of the small Type II Cas9 protein from Staphylococcus aureus (Sau) driven by a truncated CMV promoter/enhancer, and flanked 3' by a poly(A) addition signal, as well as two sgRNA expression cassettes driven by either U6 or ∼70-bp tRNA-derived Pol III promoters. Specific protocols for construction of these AAV vector scaffolds, shuttle cloning of their contents into AAV and lentiviral backbones, and a quantitative luciferase assay capable of screening for optimal sgRNAs, are detailed. These protocols can facilitate construction of AAV vectors that have optimal multiplexed sgRNA expression and function. These will have potential utility in multiplex applications, including in antiviral therapy in tissues chronically infected with a pathogenic DNA virus. PMID:26291065
Functional analysis of Bombyx Wnt1 during embryogenesis using the CRISPR/Cas9 system.
Zhang, Zhongjie; Aslam, Abu F M; Liu, Xiaojing; Li, Muwang; Huang, Yongping; Tan, Anjiang
2015-08-01
Recently established, custom-designed nuclease technologies such as the clustered regularly interspaced short palindromic repeat (CRISPR)-associated system provide attractive genome editing tools. Targeted gene mutagenesis using the CRISPR/Cas9 system has been achieved in several orders of insects. However, outside of studies on Drosophila melanogaster and the lepidopteron model insect Bombyx mori, little success has been reported, which is largely due to a lack of effective genetic manipulation tools that can be used in other insect orders. To create a simple and effective method of gene knockout analysis, especially for dissecting gene functioning during insect embryogenesis, we performed a functional analysis of the Bombyx Wnt1 (BmWnt1) gene using Cas9/sgRNA-mediated gene mutagenesis. The Wnt1 gene is required for embryonic patterning in various organisms, and its crucial roles during embryogenesis have been demonstrated in several insect orders. Direct injection of Cas9 mRNA and BmWnt1-specific sgRNA into Bombyx embryos induced a typical Wnt-deficient phenotype: injected embryos could not hatch and exhibited severe defects in body segmentation and pigmentation in a dose-dependent manner. Quantitative real-time PCR (qRT-PCR) analysis revealed that Hox genes were down-regulated after BmWnt1 depletion. Furthermore, large deletion, up to 18Kb, ware generated. The current study demonstrates that using the CRISPR/Cas9 system is a promising approach to achieve targeted gene mutagenesis during insect embryogenesis.
The role of CRISPR-Cas systems in virulence of pathogenic bacteria.
Louwen, Rogier; Staals, Raymond H J; Endtz, Hubert P; van Baarlen, Peter; van der Oost, John
2014-03-01
Clustered regularly interspaced short palindromic repeats (CRISPR) and CRISPR-associated (Cas) genes are present in many bacterial and archaeal genomes. Since the discovery of the typical CRISPR loci in the 1980s, well before their physiological role was revealed, their variable sequences have been used as a complementary typing tool in diagnostic, epidemiologic, and evolutionary analyses of prokaryotic strains. The discovery that CRISPR spacers are often identical to sequence fragments of mobile genetic elements was a major breakthrough that eventually led to the elucidation of CRISPR-Cas as an adaptive immunity system. Key elements of this unique prokaryotic defense system are small CRISPR RNAs that guide nucleases to complementary target nucleic acids of invading viruses and plasmids, generally followed by the degradation of the invader. In addition, several recent studies have pointed at direct links of CRISPR-Cas to regulation of a range of stress-related phenomena. An interesting example concerns a pathogenic bacterium that possesses a CRISPR-associated ribonucleoprotein complex that may play a dual role in defense and/or virulence. In this review, we describe recently reported cases of potential involvement of CRISPR-Cas systems in bacterial stress responses in general and bacterial virulence in particular.
Editing the Mouse Genome Using the CRISPR-Cas9 System.
Williams, Adam; Henao-Mejia, Jorge; Flavell, Richard A
2016-02-01
The ability to modify the murine genome is perhaps one of the most important developments in modern biology. However, traditional methods of genomic engineering are costly and relatively clumsy in their approach. The use of programmable nucleases such as zinc finger nucleases and transcription activator-like effector nucleases significantly improved the precision of genome-editing technology, but the design and use of these nucleases remains cumbersome and prohibitively expensive. The CRISPR-Cas9 system is the next installment in the line of programmable nucleases; it provides highly efficient and precise genome-editing capabilities using reagents that are simple to design and inexpensive to generate. Furthermore, with the CRISPR-Cas9 system, it is possible to move from a hypothesis to an in vivo mouse model in less than a month. The simplicity, cost effectiveness, and speed of the CRISPR-Cas9 system allows researchers to tackle questions that otherwise would not be technically or financially viable. In this introduction, we discuss practical considerations for the use of Cas9 in genome engineering in mice.
The Role of CRISPR-Cas Systems in Virulence of Pathogenic Bacteria
Staals, Raymond H. J.; Endtz, Hubert P.; van Baarlen, Peter; van der Oost, John
2014-01-01
SUMMARY Clustered regularly interspaced short palindromic repeats (CRISPR) and CRISPR-associated (Cas) genes are present in many bacterial and archaeal genomes. Since the discovery of the typical CRISPR loci in the 1980s, well before their physiological role was revealed, their variable sequences have been used as a complementary typing tool in diagnostic, epidemiologic, and evolutionary analyses of prokaryotic strains. The discovery that CRISPR spacers are often identical to sequence fragments of mobile genetic elements was a major breakthrough that eventually led to the elucidation of CRISPR-Cas as an adaptive immunity system. Key elements of this unique prokaryotic defense system are small CRISPR RNAs that guide nucleases to complementary target nucleic acids of invading viruses and plasmids, generally followed by the degradation of the invader. In addition, several recent studies have pointed at direct links of CRISPR-Cas to regulation of a range of stress-related phenomena. An interesting example concerns a pathogenic bacterium that possesses a CRISPR-associated ribonucleoprotein complex that may play a dual role in defense and/or virulence. In this review, we describe recently reported cases of potential involvement of CRISPR-Cas systems in bacterial stress responses in general and bacterial virulence in particular. PMID:24600041
NASA Astrophysics Data System (ADS)
D'Yakonov, A. G.
2011-03-01
Characteristic matrices and metrics of equivalence systems are studied that help give an efficient description of conjunctions of equivalence systems. Using these results, families of correct polynomials in the algebraic approach to classification are described.
Subtyping of the Legionella pneumophila "Ulm" outbreak strain using the CRISPR-Cas system.
Lück, Christian; Brzuszkiewicz, Elzbieta; Rydzewski, Kerstin; Koshkolda, Tetyana; Sarnow, Katharina; Essig, Andreas; Heuner, Klaus
2015-12-01
In 2009/2010 an outbreak of Legionnaires' disease with 64 cases including four fatalities took place in the city of Ulm/Neu-Ulm in Germany. L. pneumophila serogroup 1, mAb type Knoxville, sequence type (ST) 62 was identified as the epidemic strain. This strain was isolated from eight patients and from a cooling tower in the city of Ulm. Based on whole genome sequencing data from one patient strain, we identified an Lvh type IV secretion system containing a CRISPR-Cas system. The CRISPR sequence contains 38 spacer DNA sequences. We used these variable DNA spacers to further subtype the outbreak strain as well as six epidemiologically unrelated strains of CRISPR-Cas positive ST62 strains isolated at various regions in Germany. The first 12 spacer DNAs of eight patient isolates and three environmental isolates from the suspected source of infection were analyzed and found to be identical. Spacer DNAs were identified in further six epidemiologically unrelated patient isolates of L. pneumophila of ST62 in addition to the 12 "core" spacers. The presence of new spacer DNAs at the 5' site downstream of the first repeat indicates that these CRISPR-Cas systems seem to be functional. PCR analysis revealed that not all L. pneumophila sg1 ST62 strains investigated exhibited a CRISPR-Cas system. In addition, we could demonstrate that the CRISPR-Cas system is localized on a genomic island (LpuGI-Lvh) which can be excised from the chromosome and therefore may be transferable horizontally to other L. pneumophila strains. PMID:26294350
Vorontsova, Daria; Datsenko, Kirill A; Medvedeva, Sofia; Bondy-Denomy, Joseph; Savitskaya, Ekaterina E; Pougach, Ksenia; Logacheva, Maria; Wiedenheft, Blake; Davidson, Alan R; Severinov, Konstantin; Semenova, Ekaterina
2015-12-15
CRISPR immunity depends on acquisition of fragments of foreign DNA into CRISPR arrays. For type I-E CRISPR-Cas systems two modes of spacer acquisition, naïve and primed adaptation, were described. Naïve adaptation requires just two most conserved Cas1 and Cas2 proteins; it leads to spacer acquisition from both foreign and bacterial DNA and results in multiple spacers incapable of immune response. Primed adaptation requires all Cas proteins and a CRISPR RNA recognizing a partially matching target. It leads to selective acquisition of spacers from DNA molecules recognized by priming CRISPR RNA, with most spacers capable of protecting the host. Here, we studied spacer acquisition by a type I-F CRISPR-Cas system. We observe both naïve and primed adaptation. Both processes require not just Cas1 and Cas2, but also intact Csy complex and CRISPR RNA. Primed adaptation shows a gradient of acquisition efficiency as a function of distance from the priming site and a strand bias that is consistent with existence of single-stranded adaption intermediates. The results provide new insights into the mechanism of spacer acquisition and illustrate surprising mechanistic diversity of related CRISPR-Cas systems.
Rosen’s (M,R) system in process algebra
2013-01-01
Background Robert Rosen’s Metabolism-Replacement, or (M,R), system can be represented as a compact network structure with a single source and three products derived from that source in three consecutive reactions. (M,R) has been claimed to be non-reducible to its components and algorithmically non-computable, in the sense of not being evaluable as a function by a Turing machine. If (M,R)-like structures are present in real biological networks, this suggests that many biological networks will be non-computable, with implications for those branches of systems biology that rely on in silico modelling for predictive purposes. Results We instantiate (M,R) using the process algebra Bio-PEPA, and discuss the extent to which our model represents a true realization of (M,R). We observe that under some starting conditions and parameter values, stable states can be achieved. Although formal demonstration of algorithmic computability remains elusive for (M,R), we discuss the extent to which our Bio-PEPA representation of (M,R) allows us to sidestep Rosen’s fundamental objections to computational systems biology. Conclusions We argue that the behaviour of (M,R) in Bio-PEPA shows life-like properties. PMID:24237684
Engineering Translational Activators with CRISPR-Cas System.
Du, Pei; Miao, Chensi; Lou, Qiuli; Wang, Zefeng; Lou, Chunbo
2016-01-15
RNA parts often serve as critical components in genetic engineering. Here we report a design of translational activators which is composed of an RNA endoribonuclease (Csy4) and two exchangeable RNA modules. Csy4, a member of Cas endoribonuclease, cleaves at a specific recognition site; this cleavage releases a cis-repressive RNA module (crRNA) from the masked ribosome binding site (RBS), which subsequently allows the downstream translation initiation. Unlike small RNA as a translational activator, the endoribonuclease-based activator is able to efficiently unfold the perfect RBS-crRNA pairing. As an exchangeable module, the crRNA-RBS duplex was forwardly and reversely engineered to modulate the dynamic range of translational activity. We further showed that Csy4 and its recognition site, together as a module, can also be replaced by orthogonal endoribonuclease-recognition site homologues. These modularly structured, high-performance translational activators would endow the programming of gene expression in the translation level with higher feasibility. PMID:26414660
Quadratic algebra for superintegrable monopole system in a Taub-NUT space
NASA Astrophysics Data System (ADS)
Hoque, Md Fazlul; Marquette, Ian; Zhang, Yao-Zhong
2016-09-01
We introduce a Hartmann system in the generalized Taub-NUT space with Abelian monopole interaction. This quantum system includes well known Kaluza-Klein monopole and MIC-Zwanziger monopole as special cases. It is shown that the corresponding Schrödinger equation of the Hamiltonian is separable in both spherical and parabolic coordinates. We obtain the integrals of motion of this superintegrable model and construct the quadratic algebra and Casimir operator. This algebra can be realized in terms of a deformed oscillator algebra and has finite dimensional unitary representations (unirreps) which provide energy spectra of the system. This result coincides with the physical spectra obtained from the separation of variables.
Function of the CRISPR-Cas System of the Human Pathogen Clostridium difficile
Boudry, Pierre; Semenova, Ekaterina; Monot, Marc; Datsenko, Kirill A.; Lopatina, Anna; Sekulovic, Ognjen; Ospina-Bedoya, Maicol; Fortier, Louis-Charles; Severinov, Konstantin; Dupuy, Bruno
2015-01-01
ABSTRACT Clostridium difficile is the cause of most frequently occurring nosocomial diarrhea worldwide. As an enteropathogen, C. difficile must be exposed to multiple exogenous genetic elements in bacteriophage-rich gut communities. CRISPR (clustered regularly interspaced short palindromic repeats)-Cas (CRISPR-associated) systems allow bacteria to adapt to foreign genetic invaders. Our recent data revealed active expression and processing of CRISPR RNAs from multiple type I-B CRISPR arrays in C. difficile reference strain 630. Here, we demonstrate active expression of CRISPR arrays in strain R20291, an epidemic C. difficile strain. Through genome sequencing and host range analysis of several new C. difficile phages and plasmid conjugation experiments, we provide evidence of defensive function of the CRISPR-Cas system in both C. difficile strains. We further demonstrate that C. difficile Cas proteins are capable of interference in a heterologous host, Escherichia coli. These data set the stage for mechanistic and physiological analyses of CRISPR-Cas-mediated interactions of important global human pathogen with its genetic parasites. PMID:26330515
Exploiting the CRISPR/Cas9 System for Targeted Genome Mutagenesis in Petunia
Zhang, Bin; Yang, Xia; Yang, Chunping; Li, Mingyang; Guo, Yulong
2016-01-01
Recently, CRISPR/Cas9 technology has emerged as a powerful approach for targeted genome modification in eukaryotic organisms from yeast to human cell lines. Its successful application in several plant species promises enormous potential for basic and applied plant research. However, extensive studies are still needed to assess this system in other important plant species, to broaden its fields of application and to improve methods. Here we showed that the CRISPR/Cas9 system is efficient in petunia (Petunia hybrid), an important ornamental plant and a model for comparative research. When PDS was used as target gene, transgenic shoot lines with albino phenotype accounted for 55.6%–87.5% of the total regenerated T0 Basta-resistant lines. A homozygous deletion close to 1 kb in length can be readily generated and identified in the first generation. A sequential transformation strategy—introducing Cas9 and sgRNA expression cassettes sequentially into petunia—can be used to make targeted mutations with short indels or chromosomal fragment deletions. Our results present a new plant species amenable to CRIPR/Cas9 technology and provide an alternative procedure for its exploitation. PMID:26837606
Targeting CDK11 in osteosarcoma cells using the CRISPR-Cas9 system
Feng, Yong; Sassi, Slim; Shen, Jacson K; Yang, Xiaoqian; Gao, Yan; Osaka, Eiji; Zhang, Jianming; Yang, Shuhua; Yang, Cao; Mankin, Henry J.; Hornicek, Francis J; Duan, Zhenfeng
2014-01-01
Osteosarcoma is the most common type primary malignant tumor of bone. Patients with regional osteosarcoma are routinely treated with surgery and chemotherapy. In addition, many patients with metastatic or recurrent osteosarcoma show poor prognosis with current chemotherapy agents. Therefore, it is important to improve the general condition and the overall survival rate of patients with osteosarcoma by identifying novel therapeutic strategies. Recent studies have revealed that CDK11 is essential in osteosarcoma cell growth and survival by inhibiting CDK11 mRNA expression with RNAi. Here, we apply the Clustered Regularly Interspaced Short Palindromic Repeats (CRISPR)-Cas9 system, a robust and highly efficient novel genome editing tool, to determine the effect of targeting endogenous CDK11 gene at the DNA level in osteosarcoma cell lines. We show that CDK11 can be efficiently silenced by CRISPR-Cas9. Inhibition of CDK11 is associated with decreased cell proliferation and viability, and induces cell death in osteosarcoma cell lines KHOS and U-2OS. Furthermore, the migration and invasion activities are also markedly reduced by CDK11 knockout. These results demonstrate that CRISPR-Cas9 system is a useful tool for the modification of endogenous CDK11 gene expression, and CRISPR-Cas9 targeted CDK11 knockout may be a promising therapeutic regimen for the treatment of osteosarcoma. PMID:25348612
Exome sequencing in the knockin mice generated using the CRISPR/Cas system
Nakajima, Kazuo; Kazuno, An-a; Kelsoe, John; Nakanishi, Moe; Takumi, Toru; Kato, Tadafumi
2016-01-01
Knockin (KI) mouse carrying a point mutation has been an invaluable tool for disease modeling and analysis. Genome editing technologies using the CRISPR/Cas system has emerged as an alternative way to create KI mice. However, if the mice carry nucleotide insertions and/or deletions (InDels) in other genes, which could have unintentionally occurred during the establishment of the KI mouse line and potentially have larger impact than a point mutation, it would confound phenotyping of the KI mice. In this study, we performed whole exome sequencing of multiple lines of F1 heterozygous Ntrk1 KI mice generated using the CRISPR/Cas system in comparison to that of a wild-type mouse used as a control. We found three InDels in four KI mice but not in a control mouse. In vitro digestion assay suggested that each InDel occurred as a de novo mutation, was carried-over from the parental mice, or was incorporated through the Cas9 nuclease mediated off-target cleavage. These results suggest that frequency of InDels found in KI mice generated by the CRISPR/Cas technology is not high, but cannot be neglected and careful assessment of these mutations is warranted. PMID:27698470
Targeting CDK11 in osteosarcoma cells using the CRISPR-Cas9 system.
Feng, Yong; Sassi, Slim; Shen, Jacson K; Yang, Xiaoqian; Gao, Yan; Osaka, Eiji; Zhang, Jianming; Yang, Shuhua; Yang, Cao; Mankin, Henry J; Hornicek, Francis J; Duan, Zhenfeng
2015-02-01
Osteosarcoma is the most common type primary malignant tumor of bone. Patients with regional osteosarcoma are routinely treated with surgery and chemotherapy. In addition, many patients with metastatic or recurrent osteosarcoma show poor prognosis with current chemotherapy agents. Therefore, it is important to improve the general condition and the overall survival rate of patients with osteosarcoma by identifying novel therapeutic strategies. Recent studies have revealed that CDK11 is essential in osteosarcoma cell growth and survival by inhibiting CDK11 mRNA expression with RNAi. Here, we apply the Clustered Regularly Interspaced Short Palindromic Repeats (CRISPR)-Cas9 system, a robust and highly efficient novel genome editing tool, to determine the effect of targeting endogenous CDK11 gene at the DNA level in osteosarcoma cell lines. We show that CDK11 can be efficiently silenced by CRISPR-Cas9. Inhibition of CDK11 is associated with decreased cell proliferation and viability, and induces cell death in osteosarcoma cell lines KHOS and U-2OS. Furthermore, the migration and invasion activities are also markedly reduced by CDK11 knockout. These results demonstrate that CRISPR-Cas9 system is a useful tool for the modification of endogenous CDK11 gene expression, and CRISPR-Cas9 targeted CDK11 knockout may be a promising therapeutic regimen for the treatment of osteosarcoma.
An Active Type I-E CRISPR-Cas System Identified in Streptomyces avermitilis
Qiu, Yi; Wang, Shiwei; Chen, Zhi; Guo, Yajie; Song, Yuan
2016-01-01
CRISPR-Cas systems, the small RNA-dependent immune systems, are widely distributed in prokaryotes. However, only a small proportion of CRISPR-Cas systems have been identified to be active in bacteria. In this work, a naturally active type I-E CRISPR-Cas system was found in Streptomyces avermitilis. The system shares many common genetic features with the type I-E system of Escherichia coli, and meanwhile shows unique characteristics. It not only degrades plasmid DNA with target protospacers, but also acquires new spacers from the target plasmid DNA. The naive features of spacer acquisition in the type I-E system of S. avermitilis were investigated and a completely conserved PAM 5’-AAG-3’ was identified. Spacer acquisition displayed differential strand bias upstream and downstream of the priming spacer, and irregular integrations of new spacers were observed. In addition, introduction of this system into host conferred phage resistance to some extent. This study will give new insights into adaptation mechanism of the type I-E systems in vivo, and meanwhile provide theoretical foundation for applying this system on the genetic modification of S. avermitilis. PMID:26901661
Not Available
1993-05-01
General information is presented for asset determinant factor/CAS repair codes/CAS cost factors; guide sheet tool & material listing; testing methods; inspection frequency; standard system design life tables; system work breakdown structure; and general system/material data. Deficiency standards and inspection methods are presented for canopies; loading dock systems; tanks; domes (bulk storage, metal framing); louvers & vents; access floors; integrated ceilings; and mezzanine structures.
NASA Astrophysics Data System (ADS)
Volkov, V. V.; Erokhin, V. I.
2010-04-01
The properties of a mathematical programming problem that arises in finding a stable (in the sense of Tikhonov) solution to a system of linear algebraic equations with an approximately given augmented coefficient matrix are examined. Conditions are obtained that determine whether this problem can be reduced to the minimization of a smoothing functional or to the minimal matrix correction of the underlying system of linear algebraic equations. A method for constructing (exact or approximately given) model systems of linear algebraic equations with known Tikhonov solutions is described. Sharp lower bounds are derived for the maximal error in the solution of an approximately given system of linear algebraic equations under finite perturbations of its coefficient matrix. Numerical examples are given.
Lectures on algebraic system theory: Linear systems over rings
NASA Technical Reports Server (NTRS)
Kamen, E. W.
1978-01-01
The presentation centers on four classes of systems that can be treated as linear systems over a ring. These are: (1) discrete-time systems over a ring of scalars such as the integers; (2) continuous-time systems containing time delays; (3) large-scale discrete-time systems; and (4) time-varying discrete-time systems.
An Analytical Framework for Categorizing the Use of CAS Symbolic Manipulation in Textbooks
ERIC Educational Resources Information Center
Davis, Jon D.; Fonger, Nicole L.
2015-01-01
The symbolic manipulation capabilities of computer algebra systems, which we refer to as CAS-S, are now becoming instantiated within secondary mathematics textbooks in the United States for the first time. While a number of research studies have examined how teachers use this technology in their classrooms, one of the most important factors in how…
Using a CAS in the Mathematics Classroom: Two Examples for Exploring Cubic Curves.
ERIC Educational Resources Information Center
Leinbach, Carl
2001-01-01
Illustrates two ways of exploring the properties of cubic polynomials. The first exploration uses a Computer Algebra System (CAS) to help students understand an important part of mathematical history, the discovery of an algorithm to find the roots of a cubic equation. The second exploration states some conditions required for a curve and finds a…
The Issue of Appropriate Assessment in the Presence of a CAS.
ERIC Educational Resources Information Center
Pountney, David; Leinbach, Carl; Etchells, Terence
2002-01-01
Gives concrete examples of examinations in which Computer Algebra Systems (CAS) can be used. Discusses the need to link the construction of the examination and evaluation of the exam scripts in terms of an existing classification scheme for mathematical tasks, the MATH Taxonomy. (Author/MM)
NASA Technical Reports Server (NTRS)
Byrnes, C. I.
1980-01-01
It is noted that recent work by Kamen (1979) on the stability of half-plane digital filters shows that the problem of the existence of a feedback law also arises for other Banach algebras in applications. This situation calls for a realization theory and stabilizability criteria for systems defined over Banach for Frechet algebra A. Such a theory is developed here, with special emphasis placed on the construction of finitely generated realizations, the existence of coprime factorizations for T(s) defined over A, and the solvability of the quadratic optimal control problem and the associated algebraic Riccati equation over A.
Computer algebra methods in the study of nonlinear differential systems
NASA Astrophysics Data System (ADS)
Irtegov, V. D.; Titorenko, T. N.
2013-06-01
Some issues concerning computer algebra methods as applied to the qualitative analysis of differential equations with first integrals are discussed. The problems of finding stationary sets and analyzing their stability and bifurcations are considered. Special attention is given to algorithms for finding and analyzing peculiar stationary sets. It is shown that computer algebra tools, combined with qualitative analysis methods for differential equations, make it possible not only to enhance the computational efficiency of classical algorithms, but also to implement new approaches to the solution of well-known problems and, in this way, to obtain new results.
Candida albicans Gene Deletion with a Transient CRISPR-Cas9 System.
Min, Kyunghun; Ichikawa, Yuichi; Woolford, Carol A; Mitchell, Aaron P
2016-01-01
Clustered regularly interspaced short palindromic repeat (CRISPR) and CRISPR-associated gene 9 (CRISPR-Cas9) systems are used for a wide array of genome-editing applications in organisms ranging from fungi to plants and animals. Recently, a CRISPR-Cas9 system has been developed for the diploid fungal pathogen Candida albicans; the system accelerates genetic manipulation dramatically [V. K. Vyas, M. I. Barrasa, and G. R. Fink, Sci Adv 1(3):e1500248, 2015, http://dx.doi.org/10.1126/sciadv.1500248]. We show here that the CRISPR-Cas9 genetic elements can function transiently, without stable integration into the genome, to enable the introduction of a gene deletion construct. We describe a transient CRISPR-Cas9 system for efficient gene deletion in C. albicans. Our observations suggest that there are two mechanisms that lead to homozygous deletions: (i) independent recombination of transforming DNA into each allele and (ii) recombination of transforming DNA into one allele, followed by gene conversion of the second allele. Our approach will streamline gene function analysis in C. albicans, and our results indicate that DNA can function transiently after transformation of this organism. IMPORTANCE The fungus Candida albicans is a major pathogen. Genetic analysis of this organism has revealed determinants of pathogenicity, drug resistance, and other unique biological features, as well as the identities of prospective drug targets. The creation of targeted mutations has been greatly accelerated recently through the implementation of CRISPR genome-editing technology by Vyas et al. [Sci Adv 1(3):e1500248, 2015, http://dx.doi.org/10.1126/sciadv.1500248]. In this study, we find that CRISPR elements can be expressed from genes that are present only transiently, and we develop a transient CRISPR system that further accelerates C. albicans genetic manipulation.
Candida albicans Gene Deletion with a Transient CRISPR-Cas9 System.
Min, Kyunghun; Ichikawa, Yuichi; Woolford, Carol A; Mitchell, Aaron P
2016-01-01
Clustered regularly interspaced short palindromic repeat (CRISPR) and CRISPR-associated gene 9 (CRISPR-Cas9) systems are used for a wide array of genome-editing applications in organisms ranging from fungi to plants and animals. Recently, a CRISPR-Cas9 system has been developed for the diploid fungal pathogen Candida albicans; the system accelerates genetic manipulation dramatically [V. K. Vyas, M. I. Barrasa, and G. R. Fink, Sci Adv 1(3):e1500248, 2015, http://dx.doi.org/10.1126/sciadv.1500248]. We show here that the CRISPR-Cas9 genetic elements can function transiently, without stable integration into the genome, to enable the introduction of a gene deletion construct. We describe a transient CRISPR-Cas9 system for efficient gene deletion in C. albicans. Our observations suggest that there are two mechanisms that lead to homozygous deletions: (i) independent recombination of transforming DNA into each allele and (ii) recombination of transforming DNA into one allele, followed by gene conversion of the second allele. Our approach will streamline gene function analysis in C. albicans, and our results indicate that DNA can function transiently after transformation of this organism. IMPORTANCE The fungus Candida albicans is a major pathogen. Genetic analysis of this organism has revealed determinants of pathogenicity, drug resistance, and other unique biological features, as well as the identities of prospective drug targets. The creation of targeted mutations has been greatly accelerated recently through the implementation of CRISPR genome-editing technology by Vyas et al. [Sci Adv 1(3):e1500248, 2015, http://dx.doi.org/10.1126/sciadv.1500248]. In this study, we find that CRISPR elements can be expressed from genes that are present only transiently, and we develop a transient CRISPR system that further accelerates C. albicans genetic manipulation. PMID:27340698
Biallelic genome modification in F(0) Xenopus tropicalis embryos using the CRISPR/Cas system.
Blitz, Ira L; Biesinger, Jacob; Xie, Xiaohui; Cho, Ken W Y
2013-12-01
Gene inactivation is an important tool for correlation of phenotypic and genomic data, allowing researchers to infer normal gene function based on the phenotype when the gene is impaired. New and better approaches are needed to overcome the shortfalls of existing methods for any significant acceleration of scientific progress. We have adapted the CRISPR/Cas system for use in Xenopus tropicalis and report on the efficient creation of mutations in the gene encoding the enzyme tyrosinase, which is responsible for oculocutaneous albinism. Biallelic mutation of this gene was detected in the F0 generation, suggesting targeting efficiencies similar to that of TALENs. We also find that off-target mutagenesis seems to be negligible, and therefore, CRISPR/Cas may be a useful system for creating genome modifications in this important model organism.
Richter, Corinna; Chang, James T; Fineran, Peter C
2012-10-19
Phages are the most abundant biological entities on earth and pose a constant challenge to their bacterial hosts. Thus, bacteria have evolved numerous 'innate' mechanisms of defense against phage, such as abortive infection or restriction/modification systems. In contrast, the clustered regularly interspaced short palindromic repeats (CRISPR) systems provide acquired, yet heritable, sequence-specific 'adaptive' immunity against phage and other horizontally-acquired elements, such as plasmids. Resistance is acquired following viral infection or plasmid uptake when a short sequence of the foreign genome is added to the CRISPR array. CRISPRs are then transcribed and processed, generally by CRISPR associated (Cas) proteins, into short interfering RNAs (crRNAs), which form part of a ribonucleoprotein complex. This complex guides the crRNA to the complementary invading nucleic acid and targets this for degradation. Recently, there have been rapid advances in our understanding of CRISPR/Cas systems. In this review, we will present the current model(s) of the molecular events involved in both the acquisition of immunity and interference stages and will also address recent progress in our knowledge of the regulation of CRISPR/Cas systems.
A CRISPR-Cas9 System for Genetic Engineering of Filamentous Fungi
Nødvig, Christina S.; Nielsen, Jakob B.; Kogle, Martin E.; Mortensen, Uffe H.
2015-01-01
The number of fully sequenced fungal genomes is rapidly increasing. Since genetic tools are poorly developed for most filamentous fungi, it is currently difficult to employ genetic engineering for understanding the biology of these fungi and to fully exploit them industrially. For that reason there is a demand for developing versatile methods that can be used to genetically manipulate non-model filamentous fungi. To facilitate this, we have developed a CRISPR-Cas9 based system adapted for use in filamentous fungi. The system is simple and versatile, as RNA guided mutagenesis can be achieved by transforming a target fungus with a single plasmid. The system currently contains four CRISPR-Cas9 vectors, which are equipped with commonly used fungal markers allowing for selection in a broad range of fungi. Moreover, we have developed a script that allows identification of protospacers that target gene homologs in multiple species to facilitate introduction of common mutations in different filamentous fungi. With these tools we have performed RNA-guided mutagenesis in six species of which one has not previously been genetically engineered. Moreover, for a wild-type Aspergillus aculeatus strain, we have used our CRISPR Cas9 system to generate a strain that contains an AACU_pyrG marker and demonstrated that the resulting strain can be used for iterative gene targeting. PMID:26177455
The molecular mechanism of CRISPR/Cas9 system and its application in gene therapy of human diseases.
Liang, Qu; Huashan, Li; Yunhan, Jiang; Chunsheng, Dong
2015-10-01
CRISPR/Cas system is an adaptive immune system that confers resistance to exogenous virus or plasmid in bacteria and archaea. In recent years, the booming CRISPR/Cas9 genome editing technology modified from type2 CRISPR/Cas adaptive immune system has been widely applied to various research fields of life science and led to revolutionary changes. In this review, we summarize the origin and development of CRISPR/Cas9 genome editing technology as well as its applications in life science research. We focus on the latest application of this system in gene therapy of human diseases and the associated side/off-target effects, which may provide references for researchers in related areas.
Efficient Genome Editing in Chicken DF-1 Cells Using the CRISPR/Cas9 System.
Bai, Yichun; He, Linjie; Li, Pengcheng; Xu, Kun; Shao, Simin; Ren, Chonghua; Liu, Zhongtian; Wei, Zehui; Zhang, Zhiying
2016-04-07
In recent years, genome engineering technology has provided unprecedented opportunities for site-specific modification of biological genomes. Clustered regularly interspaced short palindromic repeats (CRISPR)/CRISPR-associated (Cas) 9 is one such means that can target a specific genome locus. It has been applied in human cells and many other organisms. Meanwhile, to efficiently enrich targeted cells, several surrogate systems have also been developed. However, very limited information exists on the application of CRISPR/Cas9 in chickens. In this study, we employed the CRISPR/Cas9 system to induce mutations in the peroxisome proliferator-activated receptor-γ (PPAR-γ), ATP synthase epsilon subunit (ATP5E), and ovalbumin (OVA) genes in chicken DF-1 cells. The results of T7E1 assays showed that the mutation rate at the three different loci was 0.75%, 0.5%, and 3.0%, respectively. In order to improve the mutation efficiency, we used the Puro(R) gene for efficient enrichment of genetically modified cells with the surrogate reporter system. The mutation rate, as assessed via the T7E1 assay, increased to 60.7%, 61.3%, and 47.3%, and subsequent sequence analysis showed that the mutation efficiency increased to 94.7%, 95%, and 95%, respectively. In addition, there were no detectable off-target mutations in three potential off-target sites using the T7E1 assay. As noted above, the CRISPR/Cas9 system is a robust tool for chicken genome editing.
Efficient Genome Editing in Chicken DF-1 Cells Using the CRISPR/Cas9 System.
Bai, Yichun; He, Linjie; Li, Pengcheng; Xu, Kun; Shao, Simin; Ren, Chonghua; Liu, Zhongtian; Wei, Zehui; Zhang, Zhiying
2016-01-01
In recent years, genome engineering technology has provided unprecedented opportunities for site-specific modification of biological genomes. Clustered regularly interspaced short palindromic repeats (CRISPR)/CRISPR-associated (Cas) 9 is one such means that can target a specific genome locus. It has been applied in human cells and many other organisms. Meanwhile, to efficiently enrich targeted cells, several surrogate systems have also been developed. However, very limited information exists on the application of CRISPR/Cas9 in chickens. In this study, we employed the CRISPR/Cas9 system to induce mutations in the peroxisome proliferator-activated receptor-γ (PPAR-γ), ATP synthase epsilon subunit (ATP5E), and ovalbumin (OVA) genes in chicken DF-1 cells. The results of T7E1 assays showed that the mutation rate at the three different loci was 0.75%, 0.5%, and 3.0%, respectively. In order to improve the mutation efficiency, we used the Puro(R) gene for efficient enrichment of genetically modified cells with the surrogate reporter system. The mutation rate, as assessed via the T7E1 assay, increased to 60.7%, 61.3%, and 47.3%, and subsequent sequence analysis showed that the mutation efficiency increased to 94.7%, 95%, and 95%, respectively. In addition, there were no detectable off-target mutations in three potential off-target sites using the T7E1 assay. As noted above, the CRISPR/Cas9 system is a robust tool for chicken genome editing. PMID:26869617
Genome editing in the human malaria parasite Plasmodium falciparum using the CRISPR-Cas9 system.
Ghorbal, Mehdi; Gorman, Molly; Macpherson, Cameron Ross; Martins, Rafael Miyazawa; Scherf, Artur; Lopez-Rubio, Jose-Juan
2014-08-01
Genome manipulation in the malaria parasite Plasmodium falciparum remains largely intractable and improved genomic tools are needed to further understand pathogenesis and drug resistance. We demonstrated the CRISPR-Cas9 system for use in P. falciparum by disrupting chromosomal loci and generating marker-free, single-nucleotide substitutions with high efficiency. Additionally, an artemisinin-resistant strain was generated by introducing a previously implicated polymorphism, thus illustrating the value of efficient genome editing in malaria research.
DNA targeting by the type I-G and type I-A CRISPR–Cas systems of Pyrococcus furiosus
Elmore, Joshua; Deighan, Trace; Westpheling, Jan; Terns, Rebecca M.; Terns, Michael P.
2015-01-01
CRISPR–Cas systems silence plasmids and viruses in prokaryotes. CRISPR–Cas effector complexes contain CRISPR RNAs (crRNAs) that include sequences captured from invaders and direct CRISPR-associated (Cas) proteins to destroy corresponding invader nucleic acids. Pyrococcus furiosus (Pfu) harbors three CRISPR–Cas immune systems: a Cst (Type I-G) system with an associated Cmr (Type III-B) module at one locus, and a partial Csa (Type I-A) module (lacking known invader sequence acquisition and crRNA processing genes) at another locus. The Pfu Cmr complex cleaves complementary target RNAs, and Csa systems have been shown to target DNA, while the mechanism by which Cst complexes silence invaders is unknown. In this study, we investigated the function of the Cst as well as Csa system in Pfu strains harboring a single CRISPR–Cas system. Plasmid transformation assays revealed that the Cst and Csa systems both function by DNA silencing and utilize similar flanking sequence information (PAMs) to identify invader DNA. Silencing by each system specifically requires its associated Cas3 nuclease. crRNAs from the 7 shared CRISPR loci in Pfu are processed for use by all 3 effector complexes, and Northern analysis revealed that individual effector complexes dictate the profile of mature crRNA species that is generated. PMID:26519471
TALEN and CRISPR/Cas Genome Editing Systems: Tools of Discovery
Nemudryi, A. A.; Valetdinova, K. R.; Medvedev, S. P.; Zakian, S. M.
2014-01-01
Precise studies of plant, animal and human genomes enable remarkable opportunities of obtained data application in biotechnology and medicine. However, knowing nucleotide sequences isn’t enough for understanding of particular genomic elements functional relationship and their role in phenotype formation and disease pathogenesis. In post-genomic era methods allowing genomic DNA sequences manipulation, visualization and regulation of gene expression are rapidly evolving. Though, there are few methods, that meet high standards of efficiency, safety and accessibility for a wide range of researchers. In 2011 and 2013 novel methods of genome editing appeared – this are TALEN (Transcription Activator-Like Effector Nucleases) and CRISPR (Clustered Regulatory Interspaced Short Palindromic Repeats)/Cas9 systems. Although TALEN and CRISPR/Cas9 appeared recently, these systems have proved to be effective and reliable tools for genome engineering. Here we generally review application of these systems for genome editing in conventional model objects of current biology, functional genome screening, cell-based human hereditary disease modeling, epigenome studies and visualization of cellular processes. Additionally, we review general strategies for designing TALEN and CRISPR/Cas9 and analyzing their activity. We also discuss some obstacles researcher can face using these genome editing tools. PMID:25349712
Multigene disruption in undomesticated Bacillus subtilis ATCC 6051a using the CRISPR/Cas9 system
Zhang, Kang; Duan, Xuguo; Wu, Jing
2016-01-01
Bacillus subtilis ATCC 6051a is an undomesticated strain used in the industrial production of enzymes. Because it is poorly transformable, genetic manipulation in this strain requires a highly efficient genome editing method. In this study, a Streptococcus pyogenes CRISPR/Cas9 system consisting of an all-in-one knockout plasmid containing a target-specific guide RNA, cas9, and a homologous repair template was established for highly efficient gene disruption in B. subtilis ATCC 6051a. With an efficiency of 33% to 53%, this system was used to disrupt the srfC, spoIIAC, nprE, aprE and amyE genes of B. subtilis ATCC 6051a, which hamper its use in industrial fermentation. Compared with B. subtilis ATCC 6051a, the final mutant, BS5 (ΔsrfC, ΔspoIIAC, ΔnprE, ΔaprE, ΔamyE), produces much less foam during fermentation, displays greater resistant to spore formation, and secretes 2.5-fold more β-cyclodextrin glycosyltransferase into the fermentation medium. Thus, the CRISPR/Cas9 system proved to be a powerful tool for targeted genome editing in an industrially relevant, poorly transformable strain. PMID:27305971
Targeted HIV-1 Latency Reversal Using CRISPR/Cas9-Derived Transcriptional Activator Systems
Bialek, Julia K.; Dunay, Gábor A.; Voges, Maike; Schäfer, Carola; Spohn, Michael; Stucka, Rolf; Hauber, Joachim; Lange, Ulrike C.
2016-01-01
CRISPR/Cas9 technology is currently considered the most advanced tool for targeted genome engineering. Its sequence-dependent specificity has been explored for locus-directed transcriptional modulation. Such modulation, in particular transcriptional activation, has been proposed as key approach to overcome silencing of dormant HIV provirus in latently infected cellular reservoirs. Currently available agents for provirus activation, so-called latency reversing agents (LRAs), act indirectly through cellular pathways to induce viral transcription. However, their clinical performance remains suboptimal, possibly because reservoirs have diverse cellular identities and/or proviral DNA is intractable to the induced pathways. We have explored two CRISPR/Cas9-derived activator systems as targeted approaches to induce dormant HIV-1 proviral DNA. These systems recruit multiple transcriptional activation domains to the HIV 5’ long terminal repeat (LTR), for which we have identified an optimal target region within the LTR U3 sequence. Using this target region, we demonstrate transcriptional activation of proviral genomes via the synergistic activation mediator complex in various in culture model systems for HIV latency. Observed levels of induction are comparable or indeed higher than treatment with established LRAs. Importantly, activation is complete, leading to production of infective viral particles. Our data demonstrate that CRISPR/Cas9-derived technologies can be applied to counteract HIV latency and may therefore represent promising novel approaches in the quest for HIV elimination. PMID:27341108
Efficient editing of malaria parasite genome using the CRISPR/Cas9 system.
Zhang, Cui; Xiao, Bo; Jiang, Yuanyuan; Zhao, Yihua; Li, Zhenkui; Gao, Han; Ling, Yuan; Wei, Jun; Li, Shaoneng; Lu, Mingke; Su, Xin-Zhuan; Cui, Huiting; Yuan, Jing
2014-01-01
Malaria parasites are unicellular organisms residing inside the red blood cells, and current methods for editing the parasite genes have been inefficient. The CRISPR/Cas9 (clustered regularly interspaced short palindromic repeats and Cas9 endonuclease-mediated genome editing) system is a new powerful technique for genome editing and has been widely employed to study gene function in various organisms. However, whether this technique can be applied to modify the genomes of malaria parasites has not been determined. In this paper, we demonstrated that Cas9 is able to introduce site-specific DNA double-strand breaks in the Plasmodium yoelii genome that can be repaired through homologous recombination. By supplying engineered homologous repair templates, we generated targeted deletion, reporter knock-in, and nucleotide replacement in multiple parasite genes, achieving up to 100% efficiency in gene deletion and 22 to 45% efficiencies in knock-in and allelic replacement. Our results establish methodologies for introducing desired modifications in the P. yoelii genome with high efficiency and accuracy, which will greatly improve our ability to study gene function of malaria parasites. Importance: Malaria, caused by infection of Plasmodium parasites, remains a world-wide public health burden. Although the genomes of many malaria parasites have been sequenced, we still do not know the functions of approximately half of the genes in the genomes. Studying gene function has become the focus of many studies; however, editing genes in malaria parasite genomes is still inefficient. Here we designed several efficient approaches, based on the CRISPR/Cas9 system, to introduce site-specific DNA double-strand breaks in the Plasmodium yoelii genome that can be repaired through homologous recombination. Using this system, we achieved high efficiencies in gene deletion, reporter tagging, and allelic replacement in multiple parasite genes. This technique for editing the malaria parasite
Algebraic coarsening methods for linear and nonlinear PDE and systems
McWilliams, J C
2000-11-06
-grid variables. Once a coarse grid is chosen for which compatible relaxation converges fast, it follows that the dependence of the coarse-grid variables on each other decays exponentially or faster with the distance between them, measured in mesh-sizes. This implies that highly accurate coarse-grid equations can be constructed locally. A method for doing this by solving local constrained minimization problems is described in [1]. It is also shown how this approach can be applied to devise prolongation operators, which can be used for Galerkin coarsening in the usual way. In the present research we studied and developed methods based, in part, on these ideas. We developed and implemented an AMG approach which employs compatible relaxation to define the prolongation operator (hut is otherwise similar in its structure to classical AMG); we introduced a novel method for direct (i.e., non-Galerkin) algebraic coarsening, which is in the spirit of the approach originally proposed by Brandt in [1], hut is more efficient and well-defined; we investigated an approach for treating systems of equations and other problems where there is no unambiguous correspondence between equations and unknowns.
Fujii, Wataru; Kakuta, Shigeru; Yoshioka, Shin; Kyuwa, Shigeru; Sugiura, Koji; Naito, Kunihiko
2016-08-26
Mammalian zygote-mediated genome-engineering by CRISPR/Cas is currently used for the generation of genome-modified animals. Here we report that a Streptococcus thermophilus-1 derived orthologous CRISPR/Cas system, which recognizes the 5'-NNAGAA sequence as a protospacer adjacent motif (PAM), is useful in mouse zygotes and is applicable for generating knockout mice (87.5%) and targeted knock-in mice (45.5%). The induced mutation could be inherited in the next generation. This novel CRISPR/Cas can expand the feasibility of the zygote-mediated generation of genome-modified animals that require an exact mutation design. PMID:27318086
A CRISPR-Cas9 sex-ratio distortion system for genetic control.
Galizi, Roberto; Hammond, Andrew; Kyrou, Kyros; Taxiarchi, Chrysanthi; Bernardini, Federica; O'Loughlin, Samantha M; Papathanos, Philippos-Aris; Nolan, Tony; Windbichler, Nikolai; Crisanti, Andrea
2016-01-01
Genetic control aims to reduce the ability of insect pest populations to cause harm via the release of modified insects. One strategy is to bias the reproductive sex ratio towards males so that a population decreases in size or is eliminated altogether due to a lack of females. We have shown previously that sex ratio distortion can be generated synthetically in the main human malaria vector Anopheles gambiae, by selectively destroying the X-chromosome during spermatogenesis, through the activity of a naturally-occurring endonuclease that targets a repetitive rDNA sequence highly-conserved in a wide range of organisms. Here we describe a CRISPR-Cas9 sex distortion system that targets ribosomal sequences restricted to the member species of the Anopheles gambiae complex. Expression of Cas9 during spermatogenesis resulted in RNA-guided shredding of the X-chromosome during male meiosis and produced extreme male bias among progeny in the absence of any significant reduction in fertility. The flexibility of CRISPR-Cas9 combined with the availability of genomic data for a range of insects renders this strategy broadly applicable for the species-specific control of any pest or vector species with an XY sex-determination system by targeting sequences exclusive to the female sex chromosome. PMID:27484623
Rapid generation of mouse models with defined point mutations by the CRISPR/Cas9 system.
Inui, Masafumi; Miyado, Mami; Igarashi, Maki; Tamano, Moe; Kubo, Atsushi; Yamashita, Satoshi; Asahara, Hiroshi; Fukami, Maki; Takada, Shuji
2014-06-23
Introducing a point mutation is a fundamental method used to demonstrate the roles of particular nucleotides or amino acids in the genetic elements or proteins, and is widely used in in vitro experiments based on cultured cells and exogenously provided DNA. However, the in vivo application of this approach by modifying genomic loci is uncommon, partly due to its technical and temporal demands. This leaves many in vitro findings un-validated under in vivo conditions. We herein applied the CRISPR/Cas9 system to generate mice with point mutations in their genomes, which led to single amino acid substitutions in proteins of interest. By microinjecting gRNA, hCas9 mRNA and single-stranded donor oligonucleotides (ssODN) into mouse zygotes, we introduced defined genomic modifications in their genome with a low cost and in a short time. Both single gRNA/WT hCas9 and double nicking set-ups were effective. We also found that the distance between the modification site and gRNA target site was a significant parameter affecting the efficiency of the substitution. We believe that this is a powerful technique that can be used to examine the relevance of in vitro findings, as well as the mutations found in patients with genetic disorders, in an in vivo system.
A CRISPR/Cas9 vector system for tissue-specific gene disruption in zebrafish.
Ablain, Julien; Durand, Ellen M; Yang, Song; Zhou, Yi; Zon, Leonard I
2015-03-23
CRISPR/Cas9 technology of genome editing has greatly facilitated the targeted inactivation of genes in vitro and in vivo in a wide range of organisms. In zebrafish, it allows the rapid generation of knockout lines by simply injecting a guide RNA (gRNA) and Cas9 mRNA into one-cell stage embryos. Here, we report a simple and scalable CRISPR-based vector system for tissue-specific gene inactivation in zebrafish. As proof of principle, we used our vector with the gata1 promoter driving Cas9 expression to silence the urod gene, implicated in heme biosynthesis, specifically in the erythrocytic lineage. Urod targeting yielded red fluorescent erythrocytes in zebrafish embryos, recapitulating the phenotype observed in the yquem mutant. While F0 embryos displayed mosaic gene disruption, the phenotype appeared very penetrant in stable F1 fish. This vector system constitutes a unique tool to spatially control gene knockout and greatly broadens the scope of loss-of-function studies in zebrafish.
A CRISPR/Cas9 vector system for tissue-specific gene disruption in zebrafish.
Ablain, Julien; Durand, Ellen M; Yang, Song; Zhou, Yi; Zon, Leonard I
2015-03-23
CRISPR/Cas9 technology of genome editing has greatly facilitated the targeted inactivation of genes in vitro and in vivo in a wide range of organisms. In zebrafish, it allows the rapid generation of knockout lines by simply injecting a guide RNA (gRNA) and Cas9 mRNA into one-cell stage embryos. Here, we report a simple and scalable CRISPR-based vector system for tissue-specific gene inactivation in zebrafish. As proof of principle, we used our vector with the gata1 promoter driving Cas9 expression to silence the urod gene, implicated in heme biosynthesis, specifically in the erythrocytic lineage. Urod targeting yielded red fluorescent erythrocytes in zebrafish embryos, recapitulating the phenotype observed in the yquem mutant. While F0 embryos displayed mosaic gene disruption, the phenotype appeared very penetrant in stable F1 fish. This vector system constitutes a unique tool to spatially control gene knockout and greatly broadens the scope of loss-of-function studies in zebrafish. PMID:25752963
Sequence features associated with the cleavage efficiency of CRISPR/Cas9 system
Liu, Xiaoxi; Homma, Ayaka; Sayadi, Jamasb; Yang, Shu; Ohashi, Jun; Takumi, Toru
2016-01-01
The CRISPR-Cas9 system has recently emerged as a versatile tool for biological and medical research. In this system, a single guide RNA (sgRNA) directs the endonuclease Cas9 to a targeted DNA sequence for site-specific manipulation. In addition to this targeting function, the sgRNA has also been shown to play a role in activating the endonuclease activity of Cas9. This dual function of the sgRNA likely underlies observations that different sgRNAs have varying on-target activities. Currently, our understanding of the relationship between sequence features of sgRNAs and their on-target cleavage efficiencies remains limited, largely due to difficulties in assessing the cleavage capacity of a large number of sgRNAs. In this study, we evaluated the cleavage activities of 218 sgRNAs using in vitro Surveyor assays. We found that nucleotides at both PAM-distal and PAM-proximal regions of the sgRNA are significantly correlated with on-target efficiency. Furthermore, we also demonstrated that the genomic context of the targeted DNA, the GC percentage, and the secondary structure of sgRNA are critical factors contributing to cleavage efficiency. In summary, our study reveals important parameters for the design of sgRNAs with high on-target efficiencies, especially in the context of high throughput applications. PMID:26813419
Efficient gene targeting in golden Syrian hamsters by the CRISPR/Cas9 system.
Fan, Zhiqiang; Li, Wei; Lee, Sang R; Meng, Qinggang; Shi, Bi; Bunch, Thomas D; White, Kenneth L; Kong, Il-Keun; Wang, Zhongde
2014-01-01
The golden Syrian hamster is the model of choice or the only rodent model for studying many human diseases. However, the lack of gene targeting tools in hamsters severely limits their use in biomedical research. Here, we report the first successful application of the CRISPR/Cas9 system to efficiently conduct gene targeting in hamsters. We designed five synthetic single-guide RNAs (sgRNAs)--three for targeting the coding sequences for different functional domains of the hamster STAT2 protein, one for KCNQ1, and one for PPP1R12C--and demonstrated that the CRISPR/Cas9 system is highly efficient in introducing site-specific mutations in hamster somatic cells. We then developed unique pronuclear (PN) and cytoplasmic injection protocols in hamsters and produced STAT2 knockout (KO) hamsters by injecting the sgRNA/Cas9, either in the form of plasmid or mRNA, targeting exon 4 of hamster STAT2. Among the produced hamsters, 14.3% and 88.9% harbored germline-transmitted STAT2 mutations from plasmid and mRNA injection, respectively. Notably, 10.4% of the animals produced from mRNA injection were biallelically targeted. This is the first success in conducting site-specific gene targeting in hamsters and can serve as the foundation for developing other genetically engineered hamster models for human disease.
A CRISPR-Cas9 sex-ratio distortion system for genetic control
Galizi, Roberto; Hammond, Andrew; Kyrou, Kyros; Taxiarchi, Chrysanthi; Bernardini, Federica; O’Loughlin, Samantha M.; Papathanos, Philippos-Aris; Nolan, Tony; Windbichler, Nikolai; Crisanti, Andrea
2016-01-01
Genetic control aims to reduce the ability of insect pest populations to cause harm via the release of modified insects. One strategy is to bias the reproductive sex ratio towards males so that a population decreases in size or is eliminated altogether due to a lack of females. We have shown previously that sex ratio distortion can be generated synthetically in the main human malaria vector Anopheles gambiae, by selectively destroying the X-chromosome during spermatogenesis, through the activity of a naturally-occurring endonuclease that targets a repetitive rDNA sequence highly-conserved in a wide range of organisms. Here we describe a CRISPR-Cas9 sex distortion system that targets ribosomal sequences restricted to the member species of the Anopheles gambiae complex. Expression of Cas9 during spermatogenesis resulted in RNA-guided shredding of the X-chromosome during male meiosis and produced extreme male bias among progeny in the absence of any significant reduction in fertility. The flexibility of CRISPR-Cas9 combined with the availability of genomic data for a range of insects renders this strategy broadly applicable for the species-specific control of any pest or vector species with an XY sex-determination system by targeting sequences exclusive to the female sex chromosome. PMID:27484623
A CRISPR-Cas9 sex-ratio distortion system for genetic control.
Galizi, Roberto; Hammond, Andrew; Kyrou, Kyros; Taxiarchi, Chrysanthi; Bernardini, Federica; O'Loughlin, Samantha M; Papathanos, Philippos-Aris; Nolan, Tony; Windbichler, Nikolai; Crisanti, Andrea
2016-08-03
Genetic control aims to reduce the ability of insect pest populations to cause harm via the release of modified insects. One strategy is to bias the reproductive sex ratio towards males so that a population decreases in size or is eliminated altogether due to a lack of females. We have shown previously that sex ratio distortion can be generated synthetically in the main human malaria vector Anopheles gambiae, by selectively destroying the X-chromosome during spermatogenesis, through the activity of a naturally-occurring endonuclease that targets a repetitive rDNA sequence highly-conserved in a wide range of organisms. Here we describe a CRISPR-Cas9 sex distortion system that targets ribosomal sequences restricted to the member species of the Anopheles gambiae complex. Expression of Cas9 during spermatogenesis resulted in RNA-guided shredding of the X-chromosome during male meiosis and produced extreme male bias among progeny in the absence of any significant reduction in fertility. The flexibility of CRISPR-Cas9 combined with the availability of genomic data for a range of insects renders this strategy broadly applicable for the species-specific control of any pest or vector species with an XY sex-determination system by targeting sequences exclusive to the female sex chromosome.
An algebraic criterion for the onset of chaos in nonlinear dynamic systems
NASA Technical Reports Server (NTRS)
Unal, A.; Tobak, M.
1987-01-01
The correspondence between iterated integrals and a noncommutative algebra is used to recast the given dynamical system from the time domain to the Laplace-Borel transform domain. It is then shown that the following algebraic criterion has to be satisfied for the outset of chaos: the limit (as tau approaches infinity and x sub 0 approaches infinity) of ((sigma(k=0) (tau sup k) / (k* x sub 0 sup k)) G II G = 0, where G is the generating power series of the trajectories, the symbol II is the shuffle product (le melange) of the noncommutative algebra, x sub 0 is a noncommutative variable, and tau is the correlation parameter. In the given equation, symbolic forms for both G and II can be obtained by use of one of the currently available symbolic languages such as PLI, REDUCE, and MACSYMA. Hence, the criterion is a computer-algebraic one.
Arazoe, Takayuki; Miyoshi, Kennosuke; Yamato, Tohru; Ogawa, Tetsuo; Ohsato, Shuichi; Arie, Tsutomu; Kuwata, Shigeru
2015-12-01
CRISPR/Cas-derived RNA-guided nucleases (RGNs) that can generate DNA double-strand breaks (DSBs) at a specific sequence are widely used for targeted genome editing by induction of DSB repair in many organisms. The CRISPR/Cas system consists of two components: a single Cas9 nuclease and a single-guide RNA (sgRNA). Therefore, the system for constructing RGNs is simple and efficient, but the utilization of RGNs in filamentous fungi has not been validated. In this study, we established the CRISPR/Cas system in the model filamentous fungus, Pyricularia oryzae, using Cas9 that was codon-optimized for filamentous fungi, and the endogenous RNA polymerase (RNAP) III U6 promoter and a RNAP II fungal promoter for the expression of the sgRNA. We further demonstrated that RGNs could recognize the desired sequences and edit endogenous genes through homologous recombination-mediated targeted gene replacement with high efficiency. Our system will open the way for the development of various CRISPR/Cas-based applications in filamentous fungi. PMID:26039904
Lie algebraic structures of (1+1)-dimensional Lax integrable systems
Chen, D.; Zhang, D.
1996-11-01
An approach of constructing isospectral flows {ital K}{sub {ital l}}, nonisospectral flows {sigma}{sub {ital k}} and their implicit representations of a general Lax integrable system is proposed. By introducing product function matrices, it is shown that the two sets of flows and of related symmetries both constitute infinite-dimensional Lie algebras with respect to the commutator [{center_dot},{center_dot}] given in this paper. Algebraic properties for some well-known integrable systems such as the AKNS system, the generalized Harry Dym system, and the {ital n}-wave interaction system are obtained as particular examples. {copyright} {ital 1996 American Institute of Physics.}
Quantization of Algebraic Reduction
Sniatycki, Jeodrzej
2007-11-14
For a Poisson algebra obtained by algebraic reduction of symmetries of a quantizable system we develop an analogue of geometric quantization based on the quantization structure of the original system.
Biallelic editing of a lamprey genome using the CRISPR/Cas9 system.
Zu, Yao; Zhang, Xushuai; Ren, Jianfeng; Dong, Xuehong; Zhu, Zhe; Jia, Liang; Zhang, Qinghua; Li, Weiming
2016-01-01
Lampreys are extant representatives of agnathans. Descriptions of lamprey development, physiology and genome have provided critical insights into early evolution of vertebrate traits. However, efficient means for genetic manipulation in agnathan species have not been developed, hindering functional studies of genes in these important Evo-Devo models. Here, we report a CRISPR/Cas system optimized for lamprey genomes and use it to disrupt genomic loci in the Northeast Chinese lamprey (Lethenteron morii) with efficiencies ranging between 84~99%. The frequencies of indels observed in the target loci of golden (gol), kctd10, wee1, soxe2, and wnt7b, estimated from direct sequencing of genomic DNA samples of injected lamprey larvae, were 68/69, 47/56, 38/39, 36/37 and 36/42, respectively. These indels often occurred in both alleles. In the CRISPR/Cas9 treatment for gol or kctd10, 38.6% or 85.3% of the targeted larvae had the respective recessive null-like phenotypes, further confirming the disruption of both loci. The kctd10 gRNA, designed against an essential functional region of Kctd10, resulted in null-like phenotypes and in-frame mutations in alleles. We suggest that the CRISPR/Cas-based approach has the potential for efficient genetic perturbation in organisms less amenable to germ line transmission based approaches. PMID:27005311
Efficient Genome Editing in Apple Using a CRISPR/Cas9 system.
Nishitani, Chikako; Hirai, Narumi; Komori, Sadao; Wada, Masato; Okada, Kazuma; Osakabe, Keishi; Yamamoto, Toshiya; Osakabe, Yuriko
2016-01-01
Genome editing is a powerful technique for genome modification in molecular research and crop breeding, and has the great advantage of imparting novel desired traits to genetic resources. However, the genome editing of fruit tree plantlets remains to be established. In this study, we describe induction of a targeted gene mutation in the endogenous apple phytoene desaturase (PDS) gene using the CRISPR/Cas9 system. Four guide RNAs (gRNAs) were designed and stably transformed with Cas9 separately in apple. Clear and partial albino phenotypes were observed in 31.8% of regenerated plantlets for one gRNA, and bi-allelic mutations in apple PDS were confirmed by DNA sequencing. In addition, an 18-bp gRNA also induced a targeted mutation. These CRIPSR/Cas9 induced-mutations in the apple genome suggest activation of the NHEJ pathway, but with some involvement also of the HR pathway. Our results demonstrate that genome editing can be practically applied to modify the apple genome. PMID:27530958
Biallelic editing of a lamprey genome using the CRISPR/Cas9 system
Zu, Yao; Zhang, Xushuai; Ren, Jianfeng; Dong, Xuehong; Zhu, Zhe; Jia, Liang; Zhang, Qinghua; Li, Weiming
2016-01-01
Lampreys are extant representatives of agnathans. Descriptions of lamprey development, physiology and genome have provided critical insights into early evolution of vertebrate traits. However, efficient means for genetic manipulation in agnathan species have not been developed, hindering functional studies of genes in these important Evo-Devo models. Here, we report a CRISPR/Cas system optimized for lamprey genomes and use it to disrupt genomic loci in the Northeast Chinese lamprey (Lethenteron morii) with efficiencies ranging between 84~99%. The frequencies of indels observed in the target loci of golden (gol), kctd10, wee1, soxe2, and wnt7b, estimated from direct sequencing of genomic DNA samples of injected lamprey larvae, were 68/69, 47/56, 38/39, 36/37 and 36/42, respectively. These indels often occurred in both alleles. In the CRISPR/Cas9 treatment for gol or kctd10, 38.6% or 85.3% of the targeted larvae had the respective recessive null-like phenotypes, further confirming the disruption of both loci. The kctd10 gRNA, designed against an essential functional region of Kctd10, resulted in null-like phenotypes and in-frame mutations in alleles. We suggest that the CRISPR/Cas-based approach has the potential for efficient genetic perturbation in organisms less amenable to germ line transmission based approaches. PMID:27005311
Editing of mouse and human immunoglobulin genes by CRISPR-Cas9 system
Cheong, Taek-Chin; Compagno, Mara; Chiarle, Roberto
2016-01-01
Applications of the CRISPR-Cas9 system to edit the genome have widely expanded to include DNA gene knock-out, deletions, chromosomal rearrangements, RNA editing and genome-wide screenings. Here we show the application of CRISPR-Cas9 technology to edit the mouse and human immunoglobulin (Ig) genes. By delivering Cas9 and guide-RNA (gRNA) with retro- or lenti-virus to IgM+ mouse B cells and hybridomas, we induce class-switch recombination (CSR) of the IgH chain to the desired subclass. Similarly, we induce CSR in all human B cell lines tested with high efficiency to targeted IgH subclass. Finally, we engineer mouse hybridomas to secrete Fab′ fragments instead of the whole Ig. Our results indicate that Ig genes in mouse and human cells can be edited to obtain any desired IgH switching helpful to study the biology of normal and lymphoma B cells. We also propose applications that could transform the technology of antibody production. PMID:26956543
Detection and characterization of spacer integration intermediates in type I-E CRISPR-Cas system.
Arslan, Zihni; Hermanns, Veronica; Wurm, Reinhild; Wagner, Rolf; Pul, Ümit
2014-07-01
The adaptation against foreign nucleic acids by the CRISPR-Cas system (Clustered Regularly Interspaced Short Palindromic Repeats and CRISPR-associated proteins) depends on the insertion of foreign nucleic acid-derived sequences into the CRISPR array as novel spacers by still unknown mechanism. We identified and characterized in Escherichia coli intermediate states of spacer integration and mapped the integration site at the chromosomal CRISPR array in vivo. The results show that the insertion of new spacers occurs by site-specific nicking at both strands of the leader proximal repeat in a staggered way and is accompanied by joining of the resulting 5'-ends of the repeat strands with the 3'-ends of the incoming spacer. This concerted cleavage-ligation reaction depends on the metal-binding center of Cas1 protein and requires the presence of Cas2. By acquisition assays using plasmid-located CRISPR array with mutated repeat sequences, we demonstrate that the primary sequence of the first repeat is crucial for cleavage of the CRISPR array and the ligation of new spacer DNA.
Editing of mouse and human immunoglobulin genes by CRISPR-Cas9 system.
Cheong, Taek-Chin; Compagno, Mara; Chiarle, Roberto
2016-03-09
Applications of the CRISPR-Cas9 system to edit the genome have widely expanded to include DNA gene knock-out, deletions, chromosomal rearrangements, RNA editing and genome-wide screenings. Here we show the application of CRISPR-Cas9 technology to edit the mouse and human immunoglobulin (Ig) genes. By delivering Cas9 and guide-RNA (gRNA) with retro- or lenti-virus to IgM(+) mouse B cells and hybridomas, we induce class-switch recombination (CSR) of the IgH chain to the desired subclass. Similarly, we induce CSR in all human B cell lines tested with high efficiency to targeted IgH subclass. Finally, we engineer mouse hybridomas to secrete Fab' fragments instead of the whole Ig. Our results indicate that Ig genes in mouse and human cells can be edited to obtain any desired IgH switching helpful to study the biology of normal and lymphoma B cells. We also propose applications that could transform the technology of antibody production.
Efficient Genome Editing in Apple Using a CRISPR/Cas9 system
Nishitani, Chikako; Hirai, Narumi; Komori, Sadao; Wada, Masato; Okada, Kazuma; Osakabe, Keishi; Yamamoto, Toshiya; Osakabe, Yuriko
2016-01-01
Genome editing is a powerful technique for genome modification in molecular research and crop breeding, and has the great advantage of imparting novel desired traits to genetic resources. However, the genome editing of fruit tree plantlets remains to be established. In this study, we describe induction of a targeted gene mutation in the endogenous apple phytoene desaturase (PDS) gene using the CRISPR/Cas9 system. Four guide RNAs (gRNAs) were designed and stably transformed with Cas9 separately in apple. Clear and partial albino phenotypes were observed in 31.8% of regenerated plantlets for one gRNA, and bi-allelic mutations in apple PDS were confirmed by DNA sequencing. In addition, an 18-bp gRNA also induced a targeted mutation. These CRIPSR/Cas9 induced-mutations in the apple genome suggest activation of the NHEJ pathway, but with some involvement also of the HR pathway. Our results demonstrate that genome editing can be practically applied to modify the apple genome. PMID:27530958
Jo, Young-Il; Suresh, Bharathi; Kim, Hyongbum; Ramakrishna, Suresh
2015-12-01
While human gene therapy has gained significant attention for its therapeutic promise, CRISPR/Cas9 technology has made a breakthrough as an efficient genome editing tool by emulating prokaryotic immune defense mechanisms. Although many studies have found that CRISPR/Cas9 technology is more efficient, specific and manipulable than previous generations of gene editing tools, it can be further improved by elevating its overall efficiency in a higher frequency of genome modifications and reducing its off-target effects. Here, we review the development of CRISPR/Cas9 technology, focusing on enhancement of its sequence specificity, reduction of off-target effects and delivery systems. Moreover, we describe recent successful applications of CRISPR/Cas9 technology in laboratory and clinical studies.
Jo, Young-Il; Suresh, Bharathi; Kim, Hyongbum; Ramakrishna, Suresh
2015-12-01
While human gene therapy has gained significant attention for its therapeutic promise, CRISPR/Cas9 technology has made a breakthrough as an efficient genome editing tool by emulating prokaryotic immune defense mechanisms. Although many studies have found that CRISPR/Cas9 technology is more efficient, specific and manipulable than previous generations of gene editing tools, it can be further improved by elevating its overall efficiency in a higher frequency of genome modifications and reducing its off-target effects. Here, we review the development of CRISPR/Cas9 technology, focusing on enhancement of its sequence specificity, reduction of off-target effects and delivery systems. Moreover, we describe recent successful applications of CRISPR/Cas9 technology in laboratory and clinical studies. PMID:26434948
Multidisciplinary Aerospace Systems Optimization: Computational AeroSciences (CAS) Project
NASA Technical Reports Server (NTRS)
Kodiyalam, S.; Sobieski, Jaroslaw S. (Technical Monitor)
2001-01-01
The report describes a method for performing optimization of a system whose analysis is so expensive that it is impractical to let the optimization code invoke it directly because excessive computational cost and elapsed time might result. In such situation it is imperative to have user control the number of times the analysis is invoked. The reported method achieves that by two techniques in the Design of Experiment category: a uniform dispersal of the trial design points over a n-dimensional hypersphere and a response surface fitting, and the technique of krigging. Analyses of all the trial designs whose number may be set by the user are performed before activation of the optimization code and the results are stored as a data base. That code is then executed and referred to the above data base. Two applications, one of the airborne laser system, and one of an aircraft optimization illustrate the method application.
Anton, Tobias; Bultmann, Sebastian; Leonhardt, Heinrich; Markaki, Yolanda
2014-01-01
Labeling and tracing of specific sequences in living cells has been a major challenge in studying the spatiotemporal dynamics of native chromatin. Here we repurposed the prokaryotic CRISPR/Cas adaptive immunity system to specifically detect endogenous genomic loci in mouse embryonic stem cells. We constructed a catalytically inactive version of the Cas9 endonuclease, fused it with eGFP (dCas9-eGFP) and co-expressed small guide RNAs (gRNAs) to target pericentric, centric, and telomeric repeats, which are enriched in distinct nuclear structures. With major satellite specific gRNAs we obtained a characteristic chromocenter (CC) pattern, while gRNAs targeting minor satellites and telomeres highlighted smaller foci coinciding with centromere protein B (CENP-B) and telomeric repeat-binding factor 2 (TRF2), respectively. DNA sequence specific labeling by gRNA/dCas9-eGFP complexes was directly shown with 3D-fluorescent in situ hybridization (3D-FISH). Structured illumination microscopy (3D-SIM) of gRNA/dCas9-eGFP expressing cells revealed chromatin ultrastructures and demonstrated the potential of this approach for chromatin conformation studies by super resolution microscopy. This programmable dCas9 labeling system opens new perspectives to study functional nuclear architecture.
Anton, Tobias; Bultmann, Sebastian; Leonhardt, Heinrich; Markaki, Yolanda
2014-01-01
Labeling and tracing of specific sequences in living cells has been a major challenge in studying the spatiotemporal dynamics of native chromatin. Here we repurposed the prokaryotic CRISPR/Cas adaptive immunity system to specifically detect endogenous genomic loci in mouse embryonic stem cells. We constructed a catalytically inactive version of the Cas9 endonuclease, fused it with eGFP (dCas9-eGFP) and co-expressed small guide RNAs (gRNAs) to target pericentric, centric, and telomeric repeats, which are enriched in distinct nuclear structures. With major satellite specific gRNAs we obtained a characteristic chromocenter (CC) pattern, while gRNAs targeting minor satellites and telomeres highlighted smaller foci coinciding with centromere protein B (CENP-B) and telomeric repeat-binding factor 2 (TRF2), respectively. DNA sequence specific labeling by gRNA/dCas9-eGFP complexes was directly shown with 3D-fluorescent in situ hybridization (3D-FISH). Structured illumination microscopy (3D-SIM) of gRNA/dCas9-eGFP expressing cells revealed chromatin ultrastructures and demonstrated the potential of this approach for chromatin conformation studies by super resolution microscopy. This programmable dCas9 labeling system opens new perspectives to study functional nuclear architecture. PMID:24637835
Staals, Raymond H. J.; Jackson, Simon A.; Biswas, Ambarish; Brouns, Stan J. J.; Brown, Chris M.; Fineran, Peter C.
2016-01-01
CRISPR–Cas systems provide bacteria with adaptive immunity against foreign nucleic acids by acquiring short, invader-derived sequences called spacers. Here, we use high-throughput sequencing to analyse millions of spacer acquisition events in wild-type populations of Pectobacterium atrosepticum. Plasmids not previously encountered, or plasmids that had escaped CRISPR–Cas targeting via point mutation, are used to provoke naive or primed spacer acquisition, respectively. The origin, location and order of spacer acquisition show that spacer selection through priming initiates near the site of CRISPR–Cas recognition (the protospacer), but on the displaced strand, and is consistent with 3′–5′ translocation of the Cas1:Cas2-3 acquisition machinery. Newly acquired spacers determine the location and strand specificity of subsequent spacers and demonstrate that interference-driven spacer acquisition (‘targeted acquisition') is a major contributor to adaptation in type I-F CRISPR–Cas systems. Finally, we show that acquisition of self-targeting spacers is occurring at a constant rate in wild-type cells and can be triggered by foreign DNA with similarity to the bacterial chromosome. PMID:27694798
Functional Analysis of Porphyromonas gingivalis W83 CRISPR-Cas Systems
Burmistrz, Michał; Dudek, Bartosz; Staniec, Dominika; Rodriguez Martinez, Jose Ignacio; Bochtler, Matthias; Potempa, Jan
2015-01-01
ABSTRACT The CRISPR-Cas (clustered regularly interspaced short palindromic repeats/CRISPR-associated genes) system provides prokaryotic cells with an adaptive and heritable immune response to foreign genetic elements, such as viruses, plasmids, and transposons. It is present in the majority of Archaea and almost half of species of Bacteria. Porphyromonas gingivalis is an important human pathogen that has been proven to be an etiological agent of periodontitis and has been linked to systemic conditions, such as rheumatoid arthritis and cardiovascular disease. At least 95% of clinical strains of P. gingivalis carry CRISPR arrays, suggesting that these arrays play an important function in vivo. Here we show that all four CRISPR arrays present in the P. gingivalis W83 genome are transcribed. For one of the arrays, we demonstrate in vivo activity against double-stranded DNA constructs containing protospacer sequences accompanied at the 3′ end by an NGG protospacer-adjacent motif (PAM). Most of the 44 spacers present in the genome of P. gingivalis W83 share no significant similarity with any known sequences, although 4 spacers are similar to sequences from bacteria found in the oral cavity and the gastrointestinal tract. Four spacers match genomic sequences of the host; however, none of these is flanked at its 3′ terminus by the appropriate PAM element. IMPORTANCE The CRISPR-Cas (clustered regularly interspaced short palindromic repeats/CRISPR-associated genes) system is a unique system that provides prokaryotic cells with an adaptive and heritable immunity. In this report, we show that the CRISPR-Cas system of P. gingivalis, an important human pathogen associated with periodontitis and possibly also other conditions, such as rheumatoid arthritis and cardiovascular disease, is active and provides protection from foreign genetic elements. Importantly, the data presented here may be useful for better understanding the communication between cells in larger bacterial
Patterson, Adrian G.; Chang, James T.; Taylor, Corinda; Fineran, Peter C.
2015-01-01
The CRISPR-Cas prokaryotic ‘adaptive immune systems’ represent a sophisticated defence strategy providing bacteria and archaea with protection from invading genetic elements, such as bacteriophages or plasmids. Despite intensive research into their mechanism and application, how CRISPR-Cas systems are regulated is less clear, and nothing is known about the regulation of Type I-F systems. We used Pectobacterium atrosepticum, a Gram-negative phytopathogen, to study CRISPR-Cas regulation, since it contains a single Type I-F system. The CRP-cAMP complex activated the cas operon, increasing the expression of the adaptation genes cas1 and cas2–3 in addition to the genes encoding the Csy surveillance complex. Mutation of crp or cyaA (encoding adenylate cyclase) resulted in reductions in both primed spacer acquisition and interference. Furthermore, we identified a galactose mutarotase, GalM, which reduced cas operon expression in a CRP- and CyaA-dependent manner. We propose that the Type I-F system senses metabolic changes, such as sugar availability, and regulates cas genes to initiate an appropriate defence response. Indeed, elevated glucose levels reduced cas expression in a CRP- and CyaA-dependent manner. Taken together, these findings highlight that a metabolite-sensing regulatory pathway controls expression of the Type I-F CRISPR-Cas system to modulate levels of adaptation and interference. PMID:26007654
Genome editing in sea urchin embryos by using a CRISPR/Cas9 system.
Lin, Che-Yi; Su, Yi-Hsien
2016-01-15
Sea urchin embryos are a useful model system for investigating early developmental processes and the underlying gene regulatory networks. Most functional studies using sea urchin embryos rely on antisense morpholino oligonucleotides to knockdown gene functions. However, major concerns related to this technique include off-target effects, variations in morpholino efficiency, and potential morpholino toxicity; furthermore, such problems are difficult to discern. Recent advances in genome editing technologies have introduced the prospect of not only generating sequence-specific knockouts, but also providing genome-engineering applications. Two genome editing tools, zinc-finger nuclease (ZFN) and transcription activator-like effector nucleases (TALENs), have been utilized in sea urchin embryos, but the resulting efficiencies are far from satisfactory. The CRISPR (clustered regularly interspaced short palindromic repeat)-Cas9 (CRISPR-associated nuclease 9) system serves as an easy and efficient method with which to edit the genomes of several established and emerging model organisms in the field of developmental biology. Here, we apply the CRISPR/Cas9 system to the sea urchin embryo. We designed six guide RNAs (gRNAs) against the well-studied nodal gene and discovered that five of the gRNAs induced the expected phenotype in 60-80% of the injected embryos. In addition, we developed a simple method for isolating genomic DNA from individual embryos, enabling phenotype to be precisely linked to genotype, and revealed that the mutation rates were 67-100% among the sequenced clones. Of the two potential off-target sites we examined, no off-target effects were observed. The detailed procedures described herein promise to accelerate the usage of CRISPR/Cas9 system for genome editing in sea urchin embryos.
Genome editing in sea urchin embryos by using a CRISPR/Cas9 system.
Lin, Che-Yi; Su, Yi-Hsien
2016-01-15
Sea urchin embryos are a useful model system for investigating early developmental processes and the underlying gene regulatory networks. Most functional studies using sea urchin embryos rely on antisense morpholino oligonucleotides to knockdown gene functions. However, major concerns related to this technique include off-target effects, variations in morpholino efficiency, and potential morpholino toxicity; furthermore, such problems are difficult to discern. Recent advances in genome editing technologies have introduced the prospect of not only generating sequence-specific knockouts, but also providing genome-engineering applications. Two genome editing tools, zinc-finger nuclease (ZFN) and transcription activator-like effector nucleases (TALENs), have been utilized in sea urchin embryos, but the resulting efficiencies are far from satisfactory. The CRISPR (clustered regularly interspaced short palindromic repeat)-Cas9 (CRISPR-associated nuclease 9) system serves as an easy and efficient method with which to edit the genomes of several established and emerging model organisms in the field of developmental biology. Here, we apply the CRISPR/Cas9 system to the sea urchin embryo. We designed six guide RNAs (gRNAs) against the well-studied nodal gene and discovered that five of the gRNAs induced the expected phenotype in 60-80% of the injected embryos. In addition, we developed a simple method for isolating genomic DNA from individual embryos, enabling phenotype to be precisely linked to genotype, and revealed that the mutation rates were 67-100% among the sequenced clones. Of the two potential off-target sites we examined, no off-target effects were observed. The detailed procedures described herein promise to accelerate the usage of CRISPR/Cas9 system for genome editing in sea urchin embryos. PMID:26632489
Richter, Corinna; Fineran, Peter C
2013-12-01
CRISPR (clustered regularly interspaced short palindromic repeats) arrays and Cas (CRISPR-associated) proteins confer acquired resistance against mobile genetic elements in a wide range of bacteria and archaea. The phytopathogen Pectobacterium atrosepticum SCRI1043 encodes a single subtype I-F CRISPR system, which is composed of three CRISPR arrays and the cas operon encoding Cas1, Cas3 (a Cas2-Cas3 fusion), Csy1, Csy2, Csy3 and Cas6f (Csy4). The CRISPR arrays are transcribed into pre-crRNA (CRISPR RNA) and then processed by Cas6f to generate crRNAs. Furthermore, the formation of Cas protein complexes has been implicated in both the interference and acquisition stages of defence. In the present paper, we discuss the development of tightly controlled 'programmable' CRISPR arrays as tools to investigate CRISPR-Cas function and the effects of chromosomal targeting. Finally, we address how chromosomal targeting by CRISPR-Cas can cause large-scale genome deletions, which can ultimately influence bacterial evolution and pathogenicity. PMID:24256239
Richter, Corinna; Fineran, Peter C
2013-12-01
CRISPR (clustered regularly interspaced short palindromic repeats) arrays and Cas (CRISPR-associated) proteins confer acquired resistance against mobile genetic elements in a wide range of bacteria and archaea. The phytopathogen Pectobacterium atrosepticum SCRI1043 encodes a single subtype I-F CRISPR system, which is composed of three CRISPR arrays and the cas operon encoding Cas1, Cas3 (a Cas2-Cas3 fusion), Csy1, Csy2, Csy3 and Cas6f (Csy4). The CRISPR arrays are transcribed into pre-crRNA (CRISPR RNA) and then processed by Cas6f to generate crRNAs. Furthermore, the formation of Cas protein complexes has been implicated in both the interference and acquisition stages of defence. In the present paper, we discuss the development of tightly controlled 'programmable' CRISPR arrays as tools to investigate CRISPR-Cas function and the effects of chromosomal targeting. Finally, we address how chromosomal targeting by CRISPR-Cas can cause large-scale genome deletions, which can ultimately influence bacterial evolution and pathogenicity.
Li, Ming; Wang, Rui; Zhao, Dahe; Xiang, Hua
2014-02-01
The clustered regularly interspaced short palindromic repeat (CRISPR)-Cas system mediates adaptive immunity against foreign nucleic acids in prokaryotes. However, efficient adaptation of a native CRISPR to purified viruses has only been observed for the type II-A system from a Streptococcus thermophilus industry strain, and rarely reported for laboratory strains. Here, we provide a second native system showing efficient adaptation. Infected by a newly isolated virus HHPV-2, Haloarcula hispanica type I-B CRISPR system acquired spacers discriminatively from viral sequences. Unexpectedly, in addition to Cas1, Cas2 and Cas4, this process also requires Cas3 and at least partial Cascade proteins, which are involved in interference and/or CRISPR RNA maturation. Intriguingly, a preexisting spacer partially matching a viral sequence is also required, and spacer acquisition from upstream and downstream sequences of its target sequence (i.e. priming protospacer) shows different strand bias. These evidences strongly indicate that adaptation in this system strictly requires a priming process. This requirement, if validated also true for other CRISPR systems as implied by our bioinformatic analysis, may help to explain failures to observe efficient adaptation to purified viruses in many laboratory strains, and the discrimination mechanism at the adaptation level that has confused scientists for years.
ERIC Educational Resources Information Center
Geiger, Vince; Faragher, Rhonda; Goos, Merrilyn
2010-01-01
This paper draws on a one year study of three secondary school classrooms to examine the nature of student-student-technology interaction when working in partnership with computer algebra systems (CAS) on mathematical modelling tasks and the classroom affordances and constraints that influence such interaction. The analysis of these data indicates…
On Generating Discrete Integrable Systems via Lie Algebras and Commutator Equations
NASA Astrophysics Data System (ADS)
Zhang, Yu-Feng; Tam, Honwah
2016-03-01
In the paper, we introduce the Lie algebras and the commutator equations to rewrite the Tu-d scheme for generating discrete integrable systems regularly. By the approach the various loop algebras of the Lie algebra A1 are defined so that the well-known Toda hierarchy and a novel discrete integrable system are obtained, respectively. A reduction of the later hierarchy is just right the famous Ablowitz–Ladik hierarchy. Finally, via two different enlarging Lie algebras of the Lie algebra A1, we derive two resulting differential-difference integrable couplings of the Toda hierarchy, of course, they are all various discrete expanding integrable models of the Toda hierarchy. When the introduced spectral matrices are higher degrees, the way presented in the paper is more convenient to generate discrete integrable equations than the Tu-d scheme by using the software Maple. Supported by the National Natural Science Foundation of China under Grant No. 11371361, the Innovation Team of Jiangsu Province hosted by China University of Mining and Technology (2014), and Hong Kong Research Grant Council under Grant No. HKBU202512, as well as the Natural Science Foundation of Shandong Province under Grant No. ZR2013AL016
On Generating Discrete Integrable Systems via Lie Algebras and Commutator Equations
NASA Astrophysics Data System (ADS)
Zhang, Yu-Feng; Tam, Honwah
2016-03-01
In the paper, we introduce the Lie algebras and the commutator equations to rewrite the Tu-d scheme for generating discrete integrable systems regularly. By the approach the various loop algebras of the Lie algebra A1 are defined so that the well-known Toda hierarchy and a novel discrete integrable system are obtained, respectively. A reduction of the later hierarchy is just right the famous Ablowitz-Ladik hierarchy. Finally, via two different enlarging Lie algebras of the Lie algebra A1, we derive two resulting differential-difference integrable couplings of the Toda hierarchy, of course, they are all various discrete expanding integrable models of the Toda hierarchy. When the introduced spectral matrices are higher degrees, the way presented in the paper is more convenient to generate discrete integrable equations than the Tu-d scheme by using the software Maple. Supported by the National Natural Science Foundation of China under Grant No. 11371361, the Innovation Team of Jiangsu Province hosted by China University of Mining and Technology (2014), and Hong Kong Research Grant Council under Grant No. HKBU202512, as well as the Natural Science Foundation of Shandong Province under Grant No. ZR2013AL016
On Development of a Problem Based Learning System for Linear Algebra with Simple Input Method
NASA Astrophysics Data System (ADS)
Yokota, Hisashi
2011-08-01
Learning how to express a matrix using a keyboard inputs requires a lot of time for most of college students. Therefore, for a problem based learning system for linear algebra to be accessible for college students, it is inevitable to develop a simple method for expressing matrices. Studying the two most widely used input methods for expressing matrices, a simpler input method for expressing matrices is obtained. Furthermore, using this input method and educator's knowledge structure as a concept map, a problem based learning system for linear algebra which is capable of assessing students' knowledge structure and skill is developed.
Computing the Moore-Penrose Inverse of a Matrix with a Computer Algebra System
ERIC Educational Resources Information Center
Schmidt, Karsten
2008-01-01
In this paper "Derive" functions are provided for the computation of the Moore-Penrose inverse of a matrix, as well as for solving systems of linear equations by means of the Moore-Penrose inverse. Making it possible to compute the Moore-Penrose inverse easily with one of the most commonly used Computer Algebra Systems--and to have the blueprint…
ERIC Educational Resources Information Center
Naval Education and Training Program Development Center, Pensacola, FL.
This textbook is one of a series of publications designed to provide information needed by Navy personnel whose duties require an elementary and general knowledge of the fundamental concepts of number systems, logic circuits, and Boolean algebra. Topic 1, Number Systems, describes the radix; the positional notation; the decimal, binary, octal, and…
Developing a TI-92 Manual Generator Based on Computer Algebra Systems
ERIC Educational Resources Information Center
Jun, Youngcook
2004-01-01
The electronic medium suitable for mathematics learning and teaching is often designed with a notebook interface provided in a computer algebra system. Such a notebook interface facilitates a workspace for mathematical activities along with an online help system. In this paper, the proposed feature is implemented in the Mathematica's notebook…
Design of a CRISPR-Cas system to increase resistance of Bacillus subtilis to bacteriophage SPP1.
Jakutyte-Giraitiene, Lina; Gasiunas, Giedrius
2016-08-01
Clustered regularly interspaced short palindromic repeats (CRISPR) together with CRISPR-associated (cas) genes form an adaptive prokaryotic immune system which provides acquired resistance against viruses and plasmids. Bacillus subtilis presently is the best-characterized laboratory model for Gram-positive bacteria and also widely used for industrial production of enzymes, vitamins and antibiotics. In this study, we show that type II-A CRISPR-Cas system from Streptococcus thermophilus can be transferred into B. subtilis and provides heterologous protection against phage infection. We engineered a heterologous host by cloning S. thermophilus Cas9 and a spacer targeting bacteriophage SPP1 into the chromosome of B. subtilis, which does not harbor its own CRISPR-Cas systems. We found that the heterologous CRISPR-Cas system is functionally active in B. subtilis and provides resistance against bacteriophage SPP1 infection. The high efficiency of the acquired immunity against phage could be useful in generation of biotechnologically important B. subtilis strains with engineered chromosomes. PMID:27255973
NASA Astrophysics Data System (ADS)
Matsuno, Yoshimasa
2004-02-01
The multisoliton solution of the Benjamin-Ono equation is derived from the system of nonlinear algebraic equations. This finding is unexpected from the scheme of the inverse scattering transform method, which constructs the multisoliton solution through the system of linear algebraic equations. The anlaysis developed here is also applied to the rational multisoliton solution of the Kadomtsev-Petviashvili equation.
Lie algebraic similarity transformed Hamiltonians for lattice model systems
NASA Astrophysics Data System (ADS)
Wahlen-Strothman, Jacob M.; Jiménez-Hoyos, Carlos A.; Henderson, Thomas M.; Scuseria, Gustavo E.
2015-01-01
We present a class of Lie algebraic similarity transformations generated by exponentials of two-body on-site Hermitian operators whose Hausdorff series can be summed exactly without truncation. The correlators are defined over the entire lattice and include the Gutzwiller factor ni ↑ni ↓ , and two-site products of density (ni ↑+ni ↓) and spin (ni ↑-ni ↓) operators. The resulting non-Hermitian many-body Hamiltonian can be solved in a biorthogonal mean-field approach with polynomial computational cost. The proposed similarity transformation generates locally weighted orbital transformations of the reference determinant. Although the energy of the model is unbound, projective equations in the spirit of coupled cluster theory lead to well-defined solutions. The theory is tested on the one- and two-dimensional repulsive Hubbard model where it yields accurate results for small and medium sized interaction strengths.
Williams, Michael R.; Fricano-Kugler, Catherine J.; Getz, Stephanie A.; Skelton, Patrick D.; Lee, Jeonghoon; Rizzuto, Christian P.; Geller, Joseph S.; Li, Meijie; Luikart, Bryan W.
2016-01-01
Retroviruses expressing a fluorescent protein, Cas9, and a small guide RNA are used to mimic nonsense PTEN mutations from autism patients in developing mouse neurons. We compare the cellular phenotype elicited by CRISPR-Cas9 to those elicited using shRNA or Cre/Lox technologies and find that knockdown or knockout (KO) produced a corresponding moderate or severe neuronal hypertrophy in all cells. In contrast, the Cas9 approach produced missense and nonsense Pten mutations, resulting in a mix of KO-equivalent hypertrophic and wild type-like phenotypes. Importantly, despite this mixed phenotype, the neuronal hypertrophy resulting from Pten loss was evident on average in the population of manipulated cells. Having reproduced the known Pten KO phenotype using the CRISPR-Cas9 system we design viruses to target a gene that has recently been associated with autism, KATNAL2. Katnal2 deletion in the mouse results in decreased dendritic arborization of developing neurons. We conclude that retroviral implementation of the CRISPR-Cas9 system is an efficient system for cellular phenotype discovery in wild-type animals. PMID:27161796
Williams, Michael R; Fricano-Kugler, Catherine J; Getz, Stephanie A; Skelton, Patrick D; Lee, Jeonghoon; Rizzuto, Christian P; Geller, Joseph S; Li, Meijie; Luikart, Bryan W
2016-05-10
Retroviruses expressing a fluorescent protein, Cas9, and a small guide RNA are used to mimic nonsense PTEN mutations from autism patients in developing mouse neurons. We compare the cellular phenotype elicited by CRISPR-Cas9 to those elicited using shRNA or Cre/Lox technologies and find that knockdown or knockout (KO) produced a corresponding moderate or severe neuronal hypertrophy in all cells. In contrast, the Cas9 approach produced missense and nonsense Pten mutations, resulting in a mix of KO-equivalent hypertrophic and wild type-like phenotypes. Importantly, despite this mixed phenotype, the neuronal hypertrophy resulting from Pten loss was evident on average in the population of manipulated cells. Having reproduced the known Pten KO phenotype using the CRISPR-Cas9 system we design viruses to target a gene that has recently been associated with autism, KATNAL2. Katnal2 deletion in the mouse results in decreased dendritic arborization of developing neurons. We conclude that retroviral implementation of the CRISPR-Cas9 system is an efficient system for cellular phenotype discovery in wild-type animals.
CALM: Complex Adaptive System (CAS)-Based Decision Support for Enabling Organizational Change
NASA Astrophysics Data System (ADS)
Adler, Richard M.; Koehn, David J.
Guiding organizations through transformational changes such as restructuring or adopting new technologies is a daunting task. Such changes generate workforce uncertainty, fear, and resistance, reducing morale, focus and performance. Conventional project management techniques fail to mitigate these disruptive effects, because social and individual changes are non-mechanistic, organic phenomena. CALM (for Change, Adaptation, Learning Model) is an innovative decision support system for enabling change based on CAS principles. CALM provides a low risk method for validating and refining change strategies that combines scenario planning techniques with "what-if" behavioral simulation. In essence, CALM "test drives" change strategies before rolling them out, allowing organizations to practice and learn from virtual rather than actual mistakes. This paper describes the CALM modeling methodology, including our metrics for measuring organizational readiness to respond to change and other major CALM scenario elements: prospective change strategies; alternate futures; and key situational dynamics. We then describe CALM's simulation engine for projecting scenario outcomes and its associated analytics. CALM's simulator unifies diverse behavioral simulation paradigms including: adaptive agents; system dynamics; Monte Carlo; event- and process-based techniques. CALM's embodiment of CAS dynamics helps organizations reduce risk and improve confidence and consistency in critical strategies for enabling transformations.
Efficient genomic correction methods in human iPS cells using CRISPR-Cas9 system.
Li, Hongmei Lisa; Gee, Peter; Ishida, Kentaro; Hotta, Akitsu
2016-05-15
Precise gene correction using the CRISPR-Cas9 system in human iPS cells holds great promise for various applications, such as the study of gene functions, disease modeling, and gene therapy. In this review article, we summarize methods for effective editing of genomic sequences of iPS cells based on our experiences correcting dystrophin gene mutations with the CRISPR-Cas9 system. Designing specific sgRNAs as well as having efficient transfection methods and proper detection assays to assess genomic cleavage activities are critical for successful genome editing in iPS cells. In addition, because iPS cells are fragile by nature when dissociated into single cells, a step-by-step confirmation during the cell recovery process is recommended to obtain an adequate number of genome-edited iPS cell clones. We hope that the techniques described here will be useful for researchers from diverse backgrounds who would like to perform genome editing in iPS cells.
XANES and Raman spectrometry on glasses and crystals in the CAS system.
NASA Astrophysics Data System (ADS)
Neuville, N.; Cormier, C.; Flank, F.; Massiot, M.
2003-04-01
XANES and Raman spectrometry on glasses and crystals in the CAS system. DANIEL R. NEUVILLE1, LAURENT CORMIER2 ANNE-MARIE FLANK3 and DOMINIQUE MASSIOT4 1Laboratoire de physico-chimie des fluides géologiques, IPGP-CNRS-UMR7047, 4 place Jussieu, 75252 Paris 2Laboratoire de Minéralogie et de Cristallographie, Universités PARIS 6 et 7, IPGP, UMR CNRS 7590, 4 place Jussieu, 75252 Paris 3Laboratoire pour l’Utilisation du Rayonnement Electromagnétique, Bat. 209D, B.P. 34, 91898, Orsay Cedex France 4UPR 4212, CNRS-CRMHT1d, avenue de la recherche scientifique F-45071 Orléans Cedex 2. Calcium aluminate and aluminosilicate glasses are attractive materials for a wide range of technical applications due to their highly refractory nature, their excellent optical and mechanical properties. The CaO-Al2O3-SiO2 system (CAS) is remarkable since glasses with very few SiO2 content can be synthesized, contrary to alkali or Mg aluminosilicate glasses. We have synthesized more than 40 different glasses in the CAS system using quenching method and 15 glasses using laser heating. These glasses were studied using a Raman spectrometer T64000 from Jobin-Yvon-Dilor company, X-ray absorption spectroscopy at Si, Al, Ca K edges the SA32 and D44 beamlines at LURE and NMR-700MHz. Cormier et al (2000) have shown using X-ray and neutron diffraction that aluminium is in 4-fold coordination in this ternary system. In this present study, we present Raman and XANES obtained at room temperature for these glasses. On the join SiO2-CaAl2O4 glass, we observed a decrease in Raman frequency with increasing CaAl2O4 content for all the bands. In particular, we observed a big decrease in frequency for the T4 band near 1150 cm-1 assigned to T-O0 in T4 units. This decrease suggests that aluminium substitutes principally for Si4+ in the fully polymerized structural units (TO2) according with Neuville and Mysen (1996). On the join SiO2-Ca3Al2O7 (R=CaO/AL2O3=3), we observed a decrease for all bands with
Survival and Evolution of CRISPR–Cas System in Prokaryotes and Its Applications
Shabbir, Muhammad Abu Bakr; Hao, Haihong; Shabbir, Muhammad Zubair; Hussain, Hafiz Iftikhar; Iqbal, Zahid; Ahmed, Saeed; Sattar, Adeel; Iqbal, Mujahid; Li, Jun; Yuan, Zonghui
2016-01-01
Prokaryotes have developed numerous innate immune mechanisms in order to fend off bacteriophage or plasmid attack. One of these immune systems is clustered regularly interspaced short palindromic repeats (CRISPR). CRISPR-associated proteins play a key role in survival of prokaryotes against invaders, as these systems cleave DNA of foreign genetic elements. Beyond providing immunity, these systems have significant impact in altering the bacterial physiology in term of its virulence and pathogenicity, as well as evolution. Also, due to their diverse nature of functionality, cas9 endoribonuclease can be easily reprogrammed with the help of guide RNAs, showing unprecedented potential and significance for gene editing in treating genetic diseases. Here, we also discuss the use of NgAgo–gDNA system in genome editing of human cells. PMID:27725818
Stachler, Aris-Edda; Marchfelder, Anita
2016-01-01
The clustered regularly interspaced short palindromic repeats (CRISPR)-Cas system is used by bacteria and archaea to fend off foreign genetic elements. Since its discovery it has been developed into numerous applications like genome editing and regulation of transcription in eukaryotes and bacteria. For archaea currently no tools for transcriptional repression exist. Because molecular biology analyses in archaea become more and more widespread such a tool is vital for investigating the biological function of essential genes in archaea. Here we use the model archaeon Haloferax volcanii to demonstrate that its endogenous CRISPR-Cas system I-B can be harnessed to repress gene expression in archaea. Deletion of cas3 and cas6b genes results in efficient repression of transcription. crRNAs targeting the promoter region reduced transcript levels down to 8%. crRNAs targeting the reading frame have only slight impact on transcription. crRNAs that target the coding strand repress expression only down to 88%, whereas crRNAs targeting the template strand repress expression down to 8%. Repression of an essential gene results in reduction of transcription levels down to 22%. Targeting efficiencies can be enhanced by expressing a catalytically inactive Cas3 mutant. Genes can be targeted on plasmids or on the chromosome, they can be monocistronic or part of a polycistronic operon. PMID:27226589
Stachler, Aris-Edda; Marchfelder, Anita
2016-07-15
The clustered regularly interspaced short palindromic repeats (CRISPR)-Cas system is used by bacteria and archaea to fend off foreign genetic elements. Since its discovery it has been developed into numerous applications like genome editing and regulation of transcription in eukaryotes and bacteria. For archaea currently no tools for transcriptional repression exist. Because molecular biology analyses in archaea become more and more widespread such a tool is vital for investigating the biological function of essential genes in archaea. Here we use the model archaeon Haloferax volcanii to demonstrate that its endogenous CRISPR-Cas system I-B can be harnessed to repress gene expression in archaea. Deletion of cas3 and cas6b genes results in efficient repression of transcription. crRNAs targeting the promoter region reduced transcript levels down to 8%. crRNAs targeting the reading frame have only slight impact on transcription. crRNAs that target the coding strand repress expression only down to 88%, whereas crRNAs targeting the template strand repress expression down to 8%. Repression of an essential gene results in reduction of transcription levels down to 22%. Targeting efficiencies can be enhanced by expressing a catalytically inactive Cas3 mutant. Genes can be targeted on plasmids or on the chromosome, they can be monocistronic or part of a polycistronic operon.
On a modification of minimal iteration methods for solving systems of linear algebraic equations
NASA Astrophysics Data System (ADS)
Yukhno, L. F.
2010-04-01
Modifications of certain minimal iteration methods for solving systems of linear algebraic equations are proposed and examined. The modified methods are shown to be superior to the original versions with respect to the round-off error accumulation, which makes them applicable to solving ill-conditioned problems. Numerical results demonstrating the efficiency of the proposed modifications are given.
Flipping an Algebra Classroom: Analyzing, Modeling, and Solving Systems of Linear Equations
ERIC Educational Resources Information Center
Kirvan, Rebecca; Rakes, Christopher R.; Zamora, Regie
2015-01-01
The present study investigated whether flipping an algebra classroom led to a stronger focus on conceptual understanding and improved learning of systems of linear equations for 54 seventh- and eighth-grade students using teacher journal data and district-mandated unit exam items. Multivariate analysis of covariance was used to compare scores on…
CENTER CONDITIONS AND CYCLICITY FOR A FAMILY OF CUBIC SYSTEMS: COMPUTER ALGEBRA APPROACH
Ferčec, Brigita; Mahdi, Adam
2013-01-01
Using methods of computational algebra we obtain an upper bound for the cyclicity of a family of cubic systems. We overcame the problem of nonradicality of the associated Bautin ideal by moving from the ring of polynomials to a coordinate ring. Finally, we determine the number of limit cycles bifurcating from each component of the center variety. PMID:24223469
Numerical solutions of linear differential-algebraic equation systems via Hartley series
NASA Astrophysics Data System (ADS)
Ünal, Emrah; Yalçın, Numan; ćelik, Ercan
2014-08-01
In this paper, Hartley series are presented first. Then, the operational matrix of integration together with the product and coefficient matrices are presented. They are used to transform linear differential equation systems to a set of linear algebraic equations. Finally, numerical examples are given.
CENTER CONDITIONS AND CYCLICITY FOR A FAMILY OF CUBIC SYSTEMS: COMPUTER ALGEBRA APPROACH.
Ferčec, Brigita; Mahdi, Adam
2013-01-01
Using methods of computational algebra we obtain an upper bound for the cyclicity of a family of cubic systems. We overcame the problem of nonradicality of the associated Bautin ideal by moving from the ring of polynomials to a coordinate ring. Finally, we determine the number of limit cycles bifurcating from each component of the center variety.
Belhaj, Khaoula; Chaparro-Garcia, Angela; Kamoun, Sophien; Nekrasov, Vladimir
2013-01-01
Targeted genome engineering (also known as genome editing) has emerged as an alternative to classical plant breeding and transgenic (GMO) methods to improve crop plants. Until recently, available tools for introducing site-specific double strand DNA breaks were restricted to zinc finger nucleases (ZFNs) and TAL effector nucleases (TALENs). However, these technologies have not been widely adopted by the plant research community due to complicated design and laborious assembly of specific DNA binding proteins for each target gene. Recently, an easier method has emerged based on the bacterial type II CRISPR (clustered regularly interspaced short palindromic repeats)/Cas (CRISPR-associated) immune system. The CRISPR/Cas system allows targeted cleavage of genomic DNA guided by a customizable small noncoding RNA, resulting in gene modifications by both non-homologous end joining (NHEJ) and homology-directed repair (HDR) mechanisms. In this review we summarize and discuss recent applications of the CRISPR/Cas technology in plants.
Genome engineering via TALENs and CRISPR/Cas9 systems: challenges and perspectives.
Mahfouz, Magdy M; Piatek, Agnieszka; Stewart, Charles Neal
2014-10-01
The ability to precisely modify genome sequence and regulate gene expression patterns in a site-specific manner holds much promise in plant biotechnology. Genome-engineering technologies that enable such highly specific and efficient modification are advancing with unprecedented pace. Transcription activator-like effectors (TALEs) provide customizable DNA-binding modules designed to bind to any sequence of interest. Thus, TALEs have been used as a DNA targeting module fused to functional domains for a variety of targeted genomic and epigenomic modifications. TALE nucleases (TALENs) have been used with much success across eukaryotic species to edit genomes. Recently, clustered regularly interspaced palindromic repeats (CRISPRs) that are used as guide RNAs for Cas9 nuclease-specific digestion has been introduced as a highly efficient DNA-targeting platform for genome editing and regulation. Here, we review the discovery, development and limitations of TALENs and CRIPSR/Cas9 systems as genome-engineering platforms in plants. We discuss the current questions, potential improvements and the development of the next-generation genome-editing platforms with an emphasis on producing designer plants to address the needs of agriculture and basic plant biology.
Teaching Algebra without Algebra
ERIC Educational Resources Information Center
Kalman, Richard S.
2008-01-01
Algebra is, among other things, a shorthand way to express quantitative reasoning. This article illustrates ways for the classroom teacher to convert algebraic solutions to verbal problems into conversational solutions that can be understood by students in the lower grades. Three reasonably typical verbal problems that either appeared as or…
ERIC Educational Resources Information Center
Smith, Authella; And Others
Documentation of the Coursewriter II Function FCALC is provided. The function is designed for use on the IBM 1500 instructional system and has three major applications: 1) comparison of a numeric expression in buffer 5 with a numeric expression in buffer 0; 2) comparison of an algebraic expression in buffer 5 with an algebraic expression in buffer…
Abby, Sophie S.; Néron, Bertrand; Ménager, Hervé; Touchon, Marie; Rocha, Eduardo P. C.
2014-01-01
Motivation Biologists often wish to use their knowledge on a few experimental models of a given molecular system to identify homologs in genomic data. We developed a generic tool for this purpose. Results Macromolecular System Finder (MacSyFinder) provides a flexible framework to model the properties of molecular systems (cellular machinery or pathway) including their components, evolutionary associations with other systems and genetic architecture. Modelled features also include functional analogs, and the multiple uses of a same component by different systems. Models are used to search for molecular systems in complete genomes or in unstructured data like metagenomes. The components of the systems are searched by sequence similarity using Hidden Markov model (HMM) protein profiles. The assignment of hits to a given system is decided based on compliance with the content and organization of the system model. A graphical interface, MacSyView, facilitates the analysis of the results by showing overviews of component content and genomic context. To exemplify the use of MacSyFinder we built models to detect and class CRISPR-Cas systems following a previously established classification. We show that MacSyFinder allows to easily define an accurate “Cas-finder” using publicly available protein profiles. Availability and Implementation MacSyFinder is a standalone application implemented in Python. It requires Python 2.7, Hmmer and makeblastdb (version 2.2.28 or higher). It is freely available with its source code under a GPLv3 license at https://github.com/gem-pasteur/macsyfinder. It is compatible with all platforms supporting Python and Hmmer/makeblastdb. The “Cas-finder” (models and HMM profiles) is distributed as a compressed tarball archive as Supporting Information. PMID:25330359
NASA Astrophysics Data System (ADS)
Yukhno, L. F.
2008-12-01
For an overdetermined system of linear algebraic equations, systems obtained by introducing independent random errors into the original right-hand side are examined. Under certain assumptions on how these random variables are distributed, a practical stopping criterion is proposed for an iterative process that minimizes the sum of the squares of the residuals for the above systems. Numerical results demonstrating the efficiency of this criterion for some ill-conditioned problems are presented.
CRISPR-Cas: From the Bacterial Adaptive Immune System to a Versatile Tool for Genome Engineering.
Kirchner, Marion; Schneider, Sabine
2015-11-01
The field of biology has been revolutionized by the recent advancement of an adaptive bacterial immune system as a universal genome engineering tool. Bacteria and archaea use repetitive genomic elements termed clustered regularly interspaced short palindromic repeats (CRISPR) in combination with an RNA-guided nuclease (CRISPR-associated nuclease: Cas) to target and destroy invading DNA. By choosing the appropriate sequence of the guide RNA, this two-component system can be used to efficiently modify, target, and edit genomic loci of interest in plants, insects, fungi, mammalian cells, and whole organisms. This has opened up new frontiers in genome engineering, including the potential to treat or cure human genetic disorders. Now the potential risks as well as the ethical, social, and legal implications of this powerful new technique move into the limelight. PMID:26382836
Targeted Mutagenesis in Rice Using TALENs and the CRISPR/Cas9 System.
Endo, Masaki; Nishizawa-Yokoi, Ayako; Toki, Seiichi
2016-01-01
Sequence-specific nucleases (SSNs), such as zinc-finger nucleases (ZFNs), transcription activator-like effector nucleases (TALENs), and the clustered regularly interspersed short palindromic repeats (CRISPR)/CRISPR-associated protein 9 nuclease (Cas9) system, are powerful tools for understanding gene function and for developing novel traits in plants. In plant species for which transformation and regeneration systems using protoplasts are not yet established, direct delivery to nuclei of SSNs either in the form of RNA or protein is difficult. Thus, Agrobacterium-mediated transformation of SSN expression constructs in cultured cells is a practical means of delivering targeted mutagenesis in some plant species including rice. Because targeted mutagenesis occurs stochastically in transgenic cells and SSN-mediated targeted mutagenesis often leads to no selectable phenotype, identification of highly mutated cell lines is a critical step in obtaining regenerated plants with desired mutations. PMID:27557690
CRISPR-Cas: From the Bacterial Adaptive Immune System to a Versatile Tool for Genome Engineering.
Kirchner, Marion; Schneider, Sabine
2015-11-01
The field of biology has been revolutionized by the recent advancement of an adaptive bacterial immune system as a universal genome engineering tool. Bacteria and archaea use repetitive genomic elements termed clustered regularly interspaced short palindromic repeats (CRISPR) in combination with an RNA-guided nuclease (CRISPR-associated nuclease: Cas) to target and destroy invading DNA. By choosing the appropriate sequence of the guide RNA, this two-component system can be used to efficiently modify, target, and edit genomic loci of interest in plants, insects, fungi, mammalian cells, and whole organisms. This has opened up new frontiers in genome engineering, including the potential to treat or cure human genetic disorders. Now the potential risks as well as the ethical, social, and legal implications of this powerful new technique move into the limelight.
Yasue, Akihiro; Mitsui, Silvia Naomi; Watanabe, Takahito; Sakuma, Tetsushi; Oyadomari, Seiichi; Yamamoto, Takashi; Noji, Sumihare; Mito, Taro; Tanaka, Eiji
2014-01-01
Since the establishment of embryonic stem (ES) cell lines, the combined use of gene targeting with homologous recombination has aided in elucidating the functions of various genes. However, the ES cell technique is inefficient and time-consuming. Recently, two new gene-targeting technologies have been developed: the transcription activator-like effector nuclease (TALEN) system, and the clustered regularly interspaced short palindromic repeat (CRISPR)/CRISPR-associated protein (Cas) system. In addition to aiding researchers in solving conventional problems, these technologies can be used to induce site-specific mutations in various species for which ES cells have not been established. Here, by targeting the Fgf10 gene through RNA microinjection in one-cell mouse embryos with the TALEN and CRISPR/Cas systems, we produced the known limb-defect phenotypes of Fgf10-deficient embryos at the F0 generation. Compared to the TALEN system, the CRISPR/Cas system induced the limb-defect phenotypes with a strikingly higher efficiency. Our results demonstrate that although both gene-targeting technologies are useful, the CRISPR/Cas system more effectively elicits single-step biallelic mutations in mice. PMID:25027812
Yasue, Akihiro; Mitsui, Silvia Naomi; Watanabe, Takahito; Sakuma, Tetsushi; Oyadomari, Seiichi; Yamamoto, Takashi; Noji, Sumihare; Mito, Taro; Tanaka, Eiji
2014-07-16
Since the establishment of embryonic stem (ES) cell lines, the combined use of gene targeting with homologous recombination has aided in elucidating the functions of various genes. However, the ES cell technique is inefficient and time-consuming. Recently, two new gene-targeting technologies have been developed: the transcription activator-like effector nuclease (TALEN) system, and the clustered regularly interspaced short palindromic repeat (CRISPR)/CRISPR-associated protein (Cas) system. In addition to aiding researchers in solving conventional problems, these technologies can be used to induce site-specific mutations in various species for which ES cells have not been established. Here, by targeting the Fgf10 gene through RNA microinjection in one-cell mouse embryos with the TALEN and CRISPR/Cas systems, we produced the known limb-defect phenotypes of Fgf10-deficient embryos at the F0 generation. Compared to the TALEN system, the CRISPR/Cas system induced the limb-defect phenotypes with a strikingly higher efficiency. Our results demonstrate that although both gene-targeting technologies are useful, the CRISPR/Cas system more effectively elicits single-step biallelic mutations in mice.
Fujita, Toshitsugu; Fujii, Hodaka
2015-09-24
Engineered DNA-binding molecules such as transcription activator-like effector (TAL or TALE) proteins and the clustered regularly interspaced short palindromic repeats (CRISPR) and CRISPR-associated proteins (Cas) (CRISPR/Cas) system have been used extensively for genome editing in cells of various types and species. The sequence-specific DNA-binding activities of these engineered DNA-binding molecules can also be utilized for other purposes, such as transcriptional activation, transcriptional repression, chromatin modification, visualization of genomic regions, and isolation of chromatin in a locus-specific manner. In this review, we describe applications of these engineered DNA-binding molecules for biological purposes other than genome editing.
Pearson, Bruce M; Louwen, Rogier; van Baarlen, Peter; van Vliet, Arnoud H M
2015-09-02
CRISPR (clustered regularly interspaced palindromic repeats)-Cas (CRISPR-associated) systems are sequence-specific adaptive defenses against phages and plasmids which are widespread in prokaryotes. Here we have studied whether phylogenetic relatedness or sharing of environmental niches affects the distribution and dissemination of Type II CRISPR-Cas systems, first in 132 bacterial genomes from 15 phylogenetic classes, ranging from Proteobacteria to Actinobacteria. There was clustering of distinct Type II CRISPR-Cas systems in phylogenetically distinct genera with varying G+C%, which share environmental niches. The distribution of CRISPR-Cas within a genus was studied using a large collection of genome sequences of the closely related Campylobacter species Campylobacter jejuni (N = 3,746) and Campylobacter coli (N = 486). The Cas gene cas9 and CRISPR-repeat are almost universally present in C. jejuni genomes (98.0% positive) but relatively rare in C. coli genomes (9.6% positive). Campylobacter jejuni and agricultural C. coli isolates share the C. jejuni CRISPR-Cas system, which is closely related to, but distinct from the C. coli CRISPR-Cas system found in C. coli isolates from nonagricultural sources. Analysis of the genomic position of CRISPR-Cas insertion suggests that the C. jejuni-type CRISPR-Cas has been transferred to agricultural C. coli. Conversely, the absence of the C. coli-type CRISPR-Cas in agricultural C. coli isolates may be due to these isolates not sharing the same environmental niche, and may be affected by farm hygiene and biosecurity practices in the agricultural sector. Finally, many CRISPR spacer alleles were linked with specific multilocus sequence types, suggesting that these can assist molecular epidemiology applications for C. jejuni and C. coli.
Richter, Corinna; Dy, Ron L; McKenzie, Rebecca E; Watson, Bridget N J; Taylor, Corinda; Chang, James T; McNeil, Matthew B; Staals, Raymond H J; Fineran, Peter C
2014-07-01
Clustered regularly interspaced short palindromic repeats (CRISPR), in combination with CRISPR associated (cas) genes, constitute CRISPR-Cas bacterial adaptive immune systems. To generate immunity, these systems acquire short sequences of nucleic acids from foreign invaders and incorporate these into their CRISPR arrays as spacers. This adaptation process is the least characterized step in CRISPR-Cas immunity. Here, we used Pectobacterium atrosepticum to investigate adaptation in Type I-F CRISPR-Cas systems. Pre-existing spacers that matched plasmids stimulated hyperactive primed acquisition and resulted in the incorporation of up to nine new spacers across all three native CRISPR arrays. Endogenous expression of the cas genes was sufficient, yet required, for priming. The new spacers inhibited conjugation and transformation, and interference was enhanced with increasing numbers of new spacers. We analyzed ∼ 350 new spacers acquired in priming events and identified a 5'-protospacer-GG-3' protospacer adjacent motif. In contrast to priming in Type I-E systems, new spacers matched either plasmid strand and a biased distribution, including clustering near the primed protospacer, suggested a bi-directional translocation model for the Cas1:Cas2-3 adaptation machinery. Taken together these results indicate priming adaptation occurs in different CRISPR-Cas systems, that it can be highly active in wild-type strains and that the underlying mechanisms vary.
Numerical algebraic geometry and algebraic kinematics
NASA Astrophysics Data System (ADS)
Wampler, Charles W.; Sommese, Andrew J.
In this article, the basic constructs of algebraic kinematics (links, joints, and mechanism spaces) are introduced. This provides a common schema for many kinds of problems that are of interest in kinematic studies. Once the problems are cast in this algebraic framework, they can be attacked by tools from algebraic geometry. In particular, we review the techniques of numerical algebraic geometry, which are primarily based on homotopy methods. We include a review of the main developments of recent years and outline some of the frontiers where further research is occurring. While numerical algebraic geometry applies broadly to any system of polynomial equations, algebraic kinematics provides a body of interesting examples for testing algorithms and for inspiring new avenues of work.
Xue, Haipeng; Wu, Jianbo; Li, Shenglan; Rao, Mahendra S; Liu, Ying
2016-01-01
Genetic modification is an indispensable tool to study gene function in normal development and disease. The recent breakthrough of creating human induced pluripotent stem cells (iPSCs) by defined factors (Takahashi et al., Cell 131:861-872, 2007) provides a renewable source of patient autologous cells that not only retain identical genetic information but also give rise to many cell types of the body including neurons and glia. Meanwhile, the rapid advancement of genome modification tools such as gene targeting by homologous recombination (Capecchi, Nat Rev Genet 6:507-512, 2005) and genome editing tools such as CRISPR (Clustered Regularly Interspaced Short Palindromic Repeats)/Cas (CRISPR-associated) system, TALENs (Transcription activator-like effector nucleases), and ZFNs (Zinc finger nucleases) (Wang et al., Cell 153:910-918, 2013; Mali et al., Science 339:823-826, 2013; Hwang et al., Nat Biotechnol 31:227-229, 2013; Friedland et al., Nat Methods 10(8):741-743, 2013; DiCarlo et al., Nucleic Acids Res 41:4336-4343, 2013; Cong et al., Science 339:819-823, 2013) has greatly accelerated the development of human genome manipulation at the molecular level. This chapter describes the protocols for making neural lineage reporter lines using homologous recombination and the CRISPR/Cas system-mediated genome editing, including construction of targeting vectors, guide RNAs, transfection into hPSCs, and selection and verification of successfully targeted clones. This method can be applied to various needs of hPSC genetic engineering at high efficiency and high reliability.
Mishra, Bud
2009-01-01
Systems biology, as a subject, has captured the imagination of both biologists and systems scientists alike. But what is it? This review provides one researcher's somewhat idiosyncratic view of the subject, but also aims to persuade young scientists to examine the possible evolution of this subject in a rich historical context. In particular, one may wish to read this review to envision a subject built out of a consilience of many interesting concepts from systems sciences, logic and model theory, and algebra, culminating in novel tools, techniques and theories that can reveal deep principles in biology—seen beyond mere observations. A particular focus in this review is on approaches embedded in an embryonic program, dubbed ‘algorithmic algebraic model checking’, and its powers and limitations. PMID:19364723
Zhu, Xiaoxiao; Xu, Yajie; Yu, Shanshan; Lu, Lu; Ding, Mingqin; Cheng, Jing; Song, Guoxu; Gao, Xing; Yao, Liangming; Fan, Dongdong; Meng, Shu; Zhang, Xuewen; Hu, Shengdi; Tian, Yong
2014-09-19
The rapid generation of various species and strains of laboratory animals using CRISPR/Cas9 technology has dramatically accelerated the interrogation of gene function in vivo. So far, the dominant approach for genotyping of genome-modified animals has been the T7E1 endonuclease cleavage assay. Here, we present a polyacrylamide gel electrophoresis-based (PAGE) method to genotype mice harboring different types of indel mutations. We developed 6 strains of genome-modified mice using CRISPR/Cas9 system, and utilized this approach to genotype mice from F0 to F2 generation, which included single and multiplexed genome-modified mice. We also determined the maximal detection sensitivity for detecting mosaic DNA using PAGE-based assay as 0.5%. We further applied PAGE-based genotyping approach to detect CRISPR/Cas9-mediated on- and off-target effect in human 293T and induced pluripotent stem cells (iPSCs). Thus, PAGE-based genotyping approach meets the rapidly increasing demand for genotyping of the fast-growing number of genome-modified animals and human cell lines created using CRISPR/Cas9 system or other nuclease systems such as TALEN or ZFN.
High-Throughput Silencing Using the CRISPR-Cas9 System: A Review of the Benefits and Challenges.
Wade, Mark
2015-09-01
The clustered regularly interspaced short palindromic repeats (CRISPR)/Cas system has been seized upon with a fervor enjoyed previously by small interfering RNA (siRNA) and short hairpin RNA (shRNA) technologies and has enormous potential for high-throughput functional genomics studies. The decision to use this approach must be balanced with respect to adoption of existing platforms versus awaiting the development of more "mature" next-generation systems. Here, experience from siRNA and shRNA screening plays an important role, as issues such as targeting efficiency, pooling strategies, and off-target effects with those technologies are already framing debates in the CRISPR field. CRISPR/Cas can be exploited not only to knockout genes but also to up- or down-regulate gene transcription-in some cases in a multiplex fashion. This provides a powerful tool for studying the interaction among multiple signaling cascades in the same genetic background. Furthermore, the documented success of CRISPR/Cas-mediated gene correction (or the corollary, introduction of disease-specific mutations) provides proof of concept for the rapid generation of isogenic cell lines for high-throughput screening. In this review, the advantages and limitations of CRISPR/Cas are discussed and current and future applications are highlighted. It is envisaged that complementarities between CRISPR, siRNA, and shRNA will ensure that all three technologies remain critical to the success of future functional genomics projects.
Sun, Dongchang; Qiu, Juanping
2016-01-01
To better adapt to the environment, prokaryocyte can take up exogenous genes (from bacteriophages, plasmids or genomes of other species) through horizontal gene transfer. Accompanied by the acquisition of exogenous genes, prokaryocyte is challenged by the invasion of 'selfish genes'. Therefore, to protect against the risk of gene transfer, prokaryocyte needs to establish mechanisms for selectively taking up or degrading exogenous DNA. In recent years, researchers discovered an adaptive immunity, which is mediated by the small RNA guided DNA degradation, prevents the invasion of exogenous genes in prokaryocyte. During the immune process, partial DNA fragments are firstly integrated.to the clustered regularly interspaced short palindromic repeats (CRISPR) located within the genome DNA, and then the mature CRISPR RNA transcript and the CRISPR associated proteins (Cas) form a complex CRISPR/Cas for degrading exogenous DNA. In this review, we will first briefly describe the CRISPR/Cas systems and then mainly focus on the recent advances of the function mechanism and the regulation mechanism of the type I-E CRISPR/Cas system in Escherichia coli.
Whitworth, Kristin M; Lee, Kiho; Benne, Joshua A; Beaton, Benjamin P; Spate, Lee D; Murphy, Stephanie L; Samuel, Melissa S; Mao, Jiude; O'Gorman, Chad; Walters, Eric M; Murphy, Clifton N; Driver, John; Mileham, Alan; McLaren, David; Wells, Kevin D; Prather, Randall S
2014-09-01
Targeted modification of the pig genome can be challenging. Recent applications of the CRISPR/Cas9 system hold promise for improving the efficacy of genome editing. When a designed CRISPR/Cas9 system targeting CD163 or CD1D was introduced into somatic cells, it was highly efficient in inducing mutations. When these mutated cells were used with somatic cell nuclear transfer, offspring with these modifications were created. When the CRISPR/Cas9 system was delivered into in vitro produced presumptive porcine zygotes, the system was effective in creating mutations in eGFP, CD163, and CD1D (100% targeting efficiency in blastocyst stage embryos); however, it also presented some embryo toxicity. We could also induce deletions in CD163 or CD1D by introducing two types of CRISPRs with Cas9. The system could also disrupt two genes, CD163 and eGFP, simultaneously when two CRISPRs targeting two genes with Cas9 were delivered into zygotes. Direct injection of CRISPR/Cas9 targeting CD163 or CD1D into zygotes resulted in piglets that have mutations on both alleles with only one CD1D pig having a mosaic genotype. We show here that the CRISPR/Cas9 system can be used by two methods. The system can be used to modify somatic cells followed by somatic cell nuclear transfer. System components can also be used in in vitro produced zygotes to generate pigs with specific genetic modifications. PMID:25100712
Search for contact systems among EB-type binaries. IV - V375 Cas, UW Ori, DO Cas, RU ERI
NASA Astrophysics Data System (ADS)
Barone, F.; di Fiore, L.; Milano, L.; Pirozzi, L.; Russo, G.
1992-12-01
We present the analysis of the data of four EB-type eclipsing binaries, continuing our search for contact or almost contact systems. The Price algorithm has been used in conjunction to the Wilson-Devinney model to try to obtain, where possible, unambiguous solutions for all the systems.
Generating Invariants for Non-linear Hybrid Systems by Linear Algebraic Methods
NASA Astrophysics Data System (ADS)
Matringe, Nadir; Moura, Arnaldo Vieira; Rebiha, Rachid
We describe powerful computational methods, relying on linear algebraic methods, for generating ideals for non-linear invariants of algebraic hybrid systems. We show that the preconditions for discrete transitions and the Lie-derivatives for continuous evolution can be viewed as morphisms and so can be suitably represented by matrices. We reduce the non-trivial invariant generation problem to the computation of the associated eigenspaces by encoding the new consecution requirements as specific morphisms represented by matrices. More specifically, we establish very general sufficient conditions that show the existence and allow the computation of invariant ideals. Our methods also embody a strategy to estimate degree bounds, leading to the discovery of rich classes of inductive, i.e. provable, invariants. Our approach avoids first-order quantifier elimination, Grobner basis computation or direct system resolution, thereby circumventing difficulties met by other recent techniques.
NASA Astrophysics Data System (ADS)
Graefe, Eva-Maria; Korsch, Hans Jürgen; Rush, Alexander
2016-04-01
Bosonic quantum conversion systems can be modeled by many-particle single-mode Hamiltonians describing a conversion of m molecules of type A into n molecules of type B and vice versa. These Hamiltonians are analyzed in terms of generators of a polynomially deformed su(2) algebra. In the mean-field limit of large particle numbers, these systems become classical and their Hamiltonian dynamics can again be described by polynomial deformations of a Lie algebra, where quantum commutators are replaced by Poisson brackets. The Casimir operator restricts the motion to Kummer shapes, deformed Bloch spheres with cusp singularities depending on m and n . It is demonstrated that the many-particle eigenvalues can be recovered from the mean-field dynamics using a WKB-type quantization condition. The many-particle state densities can be semiclassically approximated by the time periods of periodic orbits, which show characteristic steps and singularities related to the fixed points, whose bifurcation properties are analyzed.
Max-plus Algebraic Tools for Discrete Event Systems, Static Analysis, and Zero-Sum Games
NASA Astrophysics Data System (ADS)
Gaubert, Stéphane
The max-plus algebraic approach of timed discrete event systems emerged in the eighties, after the discovery that synchronization phenomena can be modeled in a linear way in the max-plus setting. This led to a number of results, like the determination of long term characteristics (throughput, stationary regime) by spectral theory methods or the representation of the input-output behavior by rational series.
NASA Astrophysics Data System (ADS)
Wang, Hongzhu; Yu, Tianqiu; Xiao, Jinmei
2016-08-01
From the perspective of strong transitivity, a controller design method is provided to simultaneously stabilise a collection of time-varying linear systems within the framework of nest algebras. In particular, all simultaneously stabilising controllers for a class of linear plants are characterised based on the doubly coprime factorisations. These results hold as well in the time-invariant case. An illustrative example is given to demonstrate the validity of the method.
Analytical-Algebraic Approach to Solving Chaotic System
NASA Astrophysics Data System (ADS)
Beran, Zdeněk; Čelikovský, Sergej
The aim of this paper is to present the application of the analytical series technique to study properties of the nonlinear chaotic dynamical systems. More specifically, Laplace-Adomian decomposition method is applied to Rössler system and the so-called generalized Lorenz system. Some advantages and possible applications of this approach are discussed. Results are illustrated by numerical computations.
CRISPR Primer Designer: Design primers for knockout and chromosome imaging CRISPR-Cas system.
Yan, Meng; Zhou, Shi-Rong; Xue, Hong-Wei
2015-07-01
The clustered regularly interspaced short palindromic repeats (CRISPR)-associated system enables biologists to edit genomes precisely and provides a powerful tool for perturbing endogenous gene regulation, modulation of epigenetic markers, and genome architecture. However, there are concerns about the specificity of the system, especially the usages of knocking out a gene. Previous designing tools either were mostly built-in websites or ran as command-line programs, and none of them ran locally and acquired a user-friendly interface. In addition, with the development of CRISPR-derived systems, such as chromosome imaging, there were still no tools helping users to generate specific end-user spacers. We herein present CRISPR Primer Designer for researchers to design primers for CRISPR applications. The program has a user-friendly interface, can analyze the BLAST results by using multiple parameters, score for each candidate spacer, and generate the primers when using a certain plasmid. In addition, CRISPR Primer Designer runs locally and can be used to search spacer clusters, and exports primers for the CRISPR-Cas system-based chromosome imaging system.
Koonin, Eugene V; Wolf, Yuri I
2015-01-01
CRISPR-Cas is an adaptive immunity system in prokaryotes that functions via a unique mechanism which involves incorporation of foreign DNA fragments into CRISPR arrays and subsequent utilization of transcripts of these inserts (known as spacers) as guide RNAs to cleave the cognate selfish element genome. Multiple attempts have been undertaken to explore the coevolution of viruses and microbial hosts carrying CRISPR-Cas using mathematical models that employ either systems of differential equations or an agent-based approach, or combinations thereof. Analysis of these models reveals highly complex co-evolutionary dynamics that ensues from the combination of the heritability of the CRISPR-mediated adaptive immunity with the existence of different degrees of immunity depending on the number of cognate spacers and the cost of carrying a CRISPR-Cas locus. Depending on the details of the models, a variety of testable, sometimes conflicting predictions have been made on the dependence of the degree of immunity and the benefit of maintaining CRISPR-Cas on the abundance and diversity of hosts and viruses. Some of these predictions have already been directly validated experimentally. In particular, both the reality of the virus-host arms race, with viruses escaping resistance and hosts reacquiring it through the capture of new spacers, and the fitness cost of CRISPR-Cas due to the curtailment of beneficial HGT have been reproduced in the laboratory. However, to test the predictions of the models more specifically, detailed studies of coevolving populations of microbes and viruses both in nature and in the laboratory are essential. Such analyses are expected to yield disagreements with the predictions of the current, oversimplified models and to trigger a new round of theoretical developments.
Conservation laws for multidimensional systems and related linear algebra problems
NASA Astrophysics Data System (ADS)
Igonin, Sergei
2002-12-01
We consider multidimensional systems of PDEs of generalized evolution form with t-derivatives of arbitrary order on the left-hand side and with the right-hand side dependent on lower order t-derivatives and arbitrary space derivatives. For such systems we find an explicit necessary condition for the existence of higher conservation laws in terms of the system's symbol. For systems that violate this condition we give an effective upper bound on the order of conservation laws. Using this result, we completely describe conservation laws for viscous transonic equations, for the Brusselator model and the Belousov-Zhabotinskii system. To achieve this, we solve over an arbitrary field the matrix equations SA = AtS and SA = -AtS for a quadratic matrix A and its transpose At, which may be of independent interest.
On the effect of linear algebra implementations in real-time multibody system dynamics
NASA Astrophysics Data System (ADS)
González, Manuel; González, Francisco; Dopico, Daniel; Luaces, Alberto
2008-03-01
This paper compares the efficiency of multibody system (MBS) dynamic simulation codes that rely on different implementations of linear algebra operations. The dynamics of an N-loop four-bar mechanism has been solved with an index-3 augmented Lagrangian formulation combined with the trapezoidal rule as numerical integrator. Different implementations for this method, both dense and sparse, have been developed, using a number of linear algebra software libraries (including sparse linear equation solvers) and optimized sparse matrix computation strategies. Numerical experiments have been performed in order to measure their performance, as a function of problem size and matrix filling. Results show that optimal implementations can increase the simulation efficiency in a factor of 2 3, compared with our starting classical implementations, and in some topics they disagree with widespread beliefs in MBS dynamics. Finally, advices are provided to select the implementation which delivers the best performance for a certain MBS dynamic simulation.
Use of CAS in secondary school: a factor influencing the transition to university-level mathematics?
NASA Astrophysics Data System (ADS)
Varsavsky, Cristina
2012-01-01
Australian secondary school systems offer three levels of senior (year 12) mathematics studies, none of them compulsory: elementary, intermediate and advanced. The intermediate and advanced studies prepare students for further mathematics studies at university level. In the state of Victoria, there are two versions of intermediate mathematics: one where students learn and are examined with a computer algebra system (CAS) and another where students can only use scientific calculators. This study compares the performance of 1240 students as they transitioned to traditional university-level mathematics and according to whether they learned intermediate mathematics with or without the assistance of a CAS. This study concludes that students without CAS show a slight advantage, but the most important factor affecting student performance is the uptake of advanced-level mathematics studies in secondary school.
Bikard, David; Jiang, Wenyan; Samai, Poulami; Hochschild, Ann; Zhang, Feng; Marraffini, Luciano A.
2013-01-01
The ability to artificially control transcription is essential both to the study of gene function and to the construction of synthetic gene networks with desired properties. Cas9 is an RNA-guided double-stranded DNA nuclease that participates in the CRISPR-Cas immune defense against prokaryotic viruses. We describe the use of a Cas9 nuclease mutant that retains DNA-binding activity and can be engineered as a programmable transcription repressor by preventing the binding of the RNA polymerase (RNAP) to promoter sequences or as a transcription terminator by blocking the running RNAP. In addition, a fusion between the omega subunit of the RNAP and a Cas9 nuclease mutant directed to bind upstream promoter regions can achieve programmable transcription activation. The simple and efficient modulation of gene expression achieved by this technology is a useful asset for the study of gene networks and for the development of synthetic biology and biotechnological applications. PMID:23761437
PREFACE: Infinite Dimensional Algebras and their Applications to Quantum Integrable Systems
NASA Astrophysics Data System (ADS)
Fring, Andreas; Kulish, Petr P.; Manojlović, Nenad; Nagy, Zoltán; Nunes da Costa, Joana; Samtleben, Henning
2008-05-01
This special issue is centred around the workshop Infinite Dimensional Algebras and Quantum Integrable Systems II—IDAQUIS 2007, held at the University of Algarve, Faro, Portugal in July 2007. It was the second workshop in the IDAQUIS series following a previous meeting at the same location in 2003. The latest workshop gathered around forty experts in the field reviewing recent developments in the theory and applications of integrable systems in the form of invited lectures and in a number of contributions from the participants. All contributions contain significant new results or provide a survey of the state of the art of the subject or a critical assessment of the present understanding of the topic and a discussion of open problems. Original contributions from non-participants are also included. The origins of the topic of this issue can be traced back a long way to the early investigations of completely integrable systems of classical mechanics in the fundamental papers by Euler, Lagrange, Jacobi, Liouville, Kowalevski and others. By the end of the nineteenth century all interesting examples seemed to have been exhausted. A revival in the study of integrable systems began with the development of the classical inverse scattering method, or the theory of solitons. Later developments led to the basic geometrical ideas of the theory, of which infinite dimensional algebras are a key ingredient. In a loose sense one may think that all integrable systems possess some hidden symmetry. In the quantum version of these systems the representation theory of these algebras may be exploited in the description of the structure of the Hilbert space of states. Modern examples of field theoretical systems such as conformal field theories, with the Liouville model being a prominent example, affine Toda field theories and the AdS/CFT correspondence are based on algebraic structures like quantum groups, modular doubles, global conformal invariance, Hecke algebras, Kac
Engineering large viral DNA genomes using the CRISPR-Cas9 system.
Suenaga, Tadahiro; Kohyama, Masako; Hirayasu, Kouyuki; Arase, Hisashi
2014-09-01
Manipulation of viral genomes is essential for studying viral gene function and utilizing viruses for therapy. Several techniques for viral genome engineering have been developed. Homologous recombination in virus-infected cells has traditionally been used to edit viral genomes; however, the frequency of the expected recombination is quite low. Alternatively, large viral genomes have been edited using a bacterial artificial chromosome (BAC) plasmid system. However, cloning of large viral genomes into BAC plasmids is both laborious and time-consuming. In addition, because it is possible for insertion into the viral genome of drug selection markers or parts of BAC plasmids to affect viral function, artificial genes sometimes need to be removed from edited viruses. Herpes simplex virus (HSV), a common DNA virus with a genome length of 152 kbp, causes labialis, genital herpes and encephalitis. Mutant HSV is a candidate for oncotherapy, in which HSV is used to kill tumor cells. In this study, the clustered regularly interspaced short palindromic repeat-Cas9 system was used to very efficiently engineer HSV without inserting artificial genes into viral genomes. Not only gene-ablated HSV but also gene knock-in HSV were generated using this method. Furthermore, selection with phenotypes of edited genes promotes the isolation efficiencies of expectedly mutated viral clones. Because our method can be applied to other DNA viruses such as Epstein-Barr virus, cytomegaloviruses, vaccinia virus and baculovirus, our system will be useful for studying various types of viruses, including clinical isolates.
A CRISPR/Cas9 system adapted for gene editing in marine algae
Nymark, Marianne; Sharma, Amit Kumar; Sparstad, Torfinn; Bones, Atle M.; Winge, Per
2016-01-01
Here we report that the CRISPR/Cas9 technology can be used to efficiently generate stable targeted gene mutations in microalgae, using the marine diatom Phaeodactylum tricornutum as a model species. Our vector design opens for rapid and easy adaption of the construct to the target chosen. To screen for CRISPR/Cas9 mutants we employed high resolution melting based PCR assays, mutants were confirmed by sequencing and further validated by functional analyses. PMID:27108533
Some Algebraic Symmetries of (2, 2)-Supersymmetric Systems
NASA Astrophysics Data System (ADS)
Hübsch, Tristan
The Hilbert spaces of supersymmetric systems admit symmetries which are often related to the topology and geometry of the (target) field-space. Here, we study certain (2, 2)-supersymmetric systems in two-dimensional space-time which are closely related to superstring models. They all turn out to possess some hitherto unexploited and geometrically and topologically unobstructed symmetries, providing new tools for studying the topology and geometry of superstring target space-times, and so the dynamics of the effective field theory in these. There ain't no such thing as a free lunch. - Supposedly
Zheng, Zheng; Bao, Minli; Wu, Fengnian; Chen, Jianchi; Deng, Xiaoling
2016-01-01
"Candidatus Liberibacter asiaticus" (CLas) is an uncultureable α-proteobacterium associated with citrus Huanglongbing (HLB, yellow shoot disease), a highly destructive disease affecting citrus production worldwide. HLB was observed in Guangdong Province of China over a hundred years ago and remains endemic there. Little is known about CLas biology due to its uncultureable nature. This study began with the genome sequence analysis of CLas Strain A4 from Guangdong in the prophage region. Within the two currently known prophage types, Type 1 (SC1-like) and Type 2 (SC2-like), A4 genome contained only a Type 2 prophage, CGdP2, namely. An analysis on CLas strains collected in Guangdong showed that Type 2 prophage dominated the bacterial population (82.6%, 71/86). An extended survey covering five provinces in southern China also revealed the predominance of single prophage (Type 1 or Type 2) in the CLas population (90.4%, 169/187). CLas strains with two and no prophage types accounted for 7.2% and 2.8%, respectively. In silico analyses on CGdP2 identified a CRISPR (clustered regularly interspaced short palindromic repeats)/cas (CRISPR-associated protein genes) system, consisting of four 22 bp repeats, three 23 bp spacers and 9 predicted cas. Similar CRISPR/cas systems were detected in all 10 published CLas prophages as well as 13 CLas field strains in southern China. Both Type 1 and Type 2 prophages shared almost identical sequences in spacer 1 and 3 but not spacer 2. Considering that the function of a CRISPR/cas system was to destroy invading DNA, it was hypothesized that a pre-established CLas prophage could use its CRISPR/cas system guided by spacer 1 and/or 3 to defeat the invasion of the other phage/prophage. This hypothesis explained the predominance of single prophage type in the CLas population in southern China. This is the first report of CRISPR/cas system in the "Ca. Liberibacter" genera.
Zheng, Zheng; Bao, Minli; Wu, Fengnian; Chen, Jianchi; Deng, Xiaoling
2016-01-01
“Candidatus Liberibacter asiaticus” (CLas) is an uncultureable α-proteobacterium associated with citrus Huanglongbing (HLB, yellow shoot disease), a highly destructive disease affecting citrus production worldwide. HLB was observed in Guangdong Province of China over a hundred years ago and remains endemic there. Little is known about CLas biology due to its uncultureable nature. This study began with the genome sequence analysis of CLas Strain A4 from Guangdong in the prophage region. Within the two currently known prophage types, Type 1 (SC1-like) and Type 2 (SC2-like), A4 genome contained only a Type 2 prophage, CGdP2, namely. An analysis on CLas strains collected in Guangdong showed that Type 2 prophage dominated the bacterial population (82.6%, 71/86). An extended survey covering five provinces in southern China also revealed the predominance of single prophage (Type 1 or Type 2) in the CLas population (90.4%, 169/187). CLas strains with two and no prophage types accounted for 7.2% and 2.8%, respectively. In silico analyses on CGdP2 identified a CRISPR (clustered regularly interspaced short palindromic repeats)/cas (CRISPR-associated protein genes) system, consisting of four 22 bp repeats, three 23 bp spacers and 9 predicted cas. Similar CRISPR/cas systems were detected in all 10 published CLas prophages as well as 13 CLas field strains in southern China. Both Type 1 and Type 2 prophages shared almost identical sequences in spacer 1 and 3 but not spacer 2. Considering that the function of a CRISPR/cas system was to destroy invading DNA, it was hypothesized that a pre-established CLas prophage could use its CRISPR/cas system guided by spacer 1 and/or 3 to defeat the invasion of the other phage/prophage. This hypothesis explained the predominance of single prophage type in the CLas population in southern China. This is the first report of CRISPR/cas system in the “Ca. Liberibacter” genera. PMID:26741827
Zheng, Zheng; Bao, Minli; Wu, Fengnian; Chen, Jianchi; Deng, Xiaoling
2016-01-01
"Candidatus Liberibacter asiaticus" (CLas) is an uncultureable α-proteobacterium associated with citrus Huanglongbing (HLB, yellow shoot disease), a highly destructive disease affecting citrus production worldwide. HLB was observed in Guangdong Province of China over a hundred years ago and remains endemic there. Little is known about CLas biology due to its uncultureable nature. This study began with the genome sequence analysis of CLas Strain A4 from Guangdong in the prophage region. Within the two currently known prophage types, Type 1 (SC1-like) and Type 2 (SC2-like), A4 genome contained only a Type 2 prophage, CGdP2, namely. An analysis on CLas strains collected in Guangdong showed that Type 2 prophage dominated the bacterial population (82.6%, 71/86). An extended survey covering five provinces in southern China also revealed the predominance of single prophage (Type 1 or Type 2) in the CLas population (90.4%, 169/187). CLas strains with two and no prophage types accounted for 7.2% and 2.8%, respectively. In silico analyses on CGdP2 identified a CRISPR (clustered regularly interspaced short palindromic repeats)/cas (CRISPR-associated protein genes) system, consisting of four 22 bp repeats, three 23 bp spacers and 9 predicted cas. Similar CRISPR/cas systems were detected in all 10 published CLas prophages as well as 13 CLas field strains in southern China. Both Type 1 and Type 2 prophages shared almost identical sequences in spacer 1 and 3 but not spacer 2. Considering that the function of a CRISPR/cas system was to destroy invading DNA, it was hypothesized that a pre-established CLas prophage could use its CRISPR/cas system guided by spacer 1 and/or 3 to defeat the invasion of the other phage/prophage. This hypothesis explained the predominance of single prophage type in the CLas population in southern China. This is the first report of CRISPR/cas system in the "Ca. Liberibacter" genera. PMID:26741827
Numerical solution of two-dimensional integral-algebraic systems using Legendre functions
NASA Astrophysics Data System (ADS)
Nemati, S.; Lima, P.; Ordokhani, Y.
2012-09-01
We consider a method for computing approximate solutions to systems of two-dimensional Volterra integral equations. The approximate solution is sought in the form of a linear combination of two-variable shifted Legendre functions. The operational matrices technique is used to reduce the problem to a system of linear algebraic equations. Some numerical tests have been carried out and the results show that this method has a good performance, even in the case when the system matrix is singular in the whole considered domain.
Maier, Lisa-Katharina; Lange, Sita J; Stoll, Britta; Haas, Karina A; Fischer, Susan; Fischer, Eike; Duchardt-Ferner, Elke; Wöhnert, Jens; Backofen, Rolf; Marchfelder, Anita
2013-05-01
To fend off foreign genetic elements, prokaryotes have developed several defense systems. The most recently discovered defense system, CRISPR/Cas, is sequence-specific, adaptive and heritable. The two central components of this system are the Cas proteins and the CRISPR RNA. The latter consists of repeat sequences that are interspersed with spacer sequences. The CRISPR locus is transcribed into a precursor RNA that is subsequently processed into short crRNAs. CRISPR/Cas systems have been identified in bacteria and archaea, and data show that many variations of this system exist. We analyzed the requirements for a successful defense reaction in the halophilic archaeon Haloferax volcanii. Haloferax encodes a CRISPR/Cas system of the I-B subtype, about which very little is known. Analysis of the mature crRNAs revealed that they contain a spacer as their central element, which is preceded by an eight-nucleotide-long 5' handle that originates from the upstream repeat. The repeat sequences have the potential to fold into a minimal stem loop. Sequencing of the crRNA population indicated that not all of the spacers that are encoded by the three CRISPR loci are present in the same abundance. By challenging Haloferax with an invader plasmid, we demonstrated that the interaction of the crRNA with the invader DNA requires a 10-nucleotide-long seed sequence. In addition, we found that not all of the crRNAs from the three CRISPR loci are effective at triggering the degradation of invader plasmids. The interference does not seem to be influenced by the copy number of the invader plasmid.
Marquette, Ian; Quesne, Christiane
2015-06-15
We extend the construction of 2D superintegrable Hamiltonians with separation of variables in spherical coordinates using combinations of shift, ladder, and supercharge operators to models involving rational extensions of the two-parameter Lissajous systems on the sphere. These new families of superintegrable systems with integrals of arbitrary order are connected with Jacobi exceptional orthogonal polynomials of type I (or II) and supersymmetric quantum mechanics. Moreover, we present an algebraic derivation of the degenerate energy spectrum for the one- and two-parameter Lissajous systems and the rationally extended models. These results are based on finitely generated polynomial algebras, Casimir operators, realizations as deformed oscillator algebras, and finite-dimensional unitary representations. Such results have only been established so far for 2D superintegrable systems separable in Cartesian coordinates, which are related to a class of polynomial algebras that display a simpler structure. We also point out how the structure function of these deformed oscillator algebras is directly related with the generalized Heisenberg algebras spanned by the nonpolynomial integrals.
Duality in spin systems via the SU(4) algebra
NASA Astrophysics Data System (ADS)
Schaller, Gernot; Schützhold, Ralf
2016-05-01
We provide several examples and an intuitive diagrammatic representation demonstrating the use of two-qubit unitary transformations for mapping coupled spin Hamiltonians to simpler ones and vice versa. The corresponding dualities may be exploited to identify phase transition points or to aid the diagonalization of such Hamiltonians. For example, our method shows that a suitable one-parameter family of coupled Hamiltonians whose ground states transform from an initially factorizing state to a final cluster state on a lattice of arbitrary dimension is dual to a family of trivial decoupled Hamiltonians containing local on-site terms only. As a consequence, the minimum energy gap (which determines the adiabatic run-time) does not scale with system size, which facilitates an efficient and simple adiabatic preparation of e.g. the two-dimensional cluster state used for measurement-based quantum computation.
Efficient dual sgRNA-directed large gene deletion in rabbit with CRISPR/Cas9 system.
Song, Yuning; Yuan, Lin; Wang, Yong; Chen, Mao; Deng, Jichao; Lv, Qingyan; Sui, Tingting; Li, Zhanjun; Lai, Liangxue
2016-08-01
The CRISPR RNA-guided Cas9 nuclease gene-targeting system has been extensively used to edit the genome of several organisms. However, most mutations reported to date have been are indels, resulting in multiple mutations and numerous alleles in targeted genes. In the present study, a large deletion of 105 kb in the TYR (tyrosinase) gene was generated in rabbit via a dual sgRNA-directed CRISPR/Cas9 system. The typical symptoms of albinism accompanied significantly decreased expression of TYR in the TYR knockout rabbits. Furthermore, the same genotype and albinism phenotype were found in the F1 generation, suggesting that large-fragment deletions can be efficiently transmitted to the germline and stably inherited in offspring. Taken together, our data demonstrate that mono and biallelic large deletions can be achieved using the dual sgRNA-directed CRISPR/Cas9 system. This system produces no mosaic mutations or off-target effects, making it an efficient tool for large-fragment deletions in rabbit and other organisms. PMID:26817461
NASA Astrophysics Data System (ADS)
Konopelchenko, B. G.; Ortenzi, G.
2011-11-01
The local properties of the families of algebraic subsets Wg in the Birkhoff strata Σ2g of Gr(2) containing the hyperelliptic curves of genus g are studied. It is shown that the tangent spaces Tg for Wg are isomorphic to the linear spaces of 2-coboundaries. Particular subsets in Wg are described by the integrable dispersionless coupled KdV systems of hydrodynamical type defining a special class of 2-cocycles and 2-coboundaries in Tg. It is demonstrated that the blows-ups of such 2-cocycles and 2-coboundaries and gradient catastrophes for associated integrable systems are interrelated.
Accuracy requirements of optical linear algebra processors in adaptive optics imaging systems
NASA Technical Reports Server (NTRS)
Downie, John D.; Goodman, Joseph W.
1989-01-01
The accuracy requirements of optical processors in adaptive optics systems are determined by estimating the required accuracy in a general optical linear algebra processor (OLAP) that results in a smaller average residual aberration than that achieved with a conventional electronic digital processor with some specific computation speed. Special attention is given to an error analysis of a general OLAP with regard to the residual aberration that is created in an adaptive mirror system by the inaccuracies of the processor, and to the effect of computational speed of an electronic processor on the correction. Results are presented on the ability of an OLAP to compete with a digital processor in various situations.
Static Analysis of Large-Scale Multibody System Using Joint Coordinates and Spatial Algebra Operator
Omar, Mohamed A.
2014-01-01
Initial transient oscillations inhibited in the dynamic simulations responses of multibody systems can lead to inaccurate results, unrealistic load prediction, or simulation failure. These transients could result from incompatible initial conditions, initial constraints violation, and inadequate kinematic assembly. Performing static equilibrium analysis before the dynamic simulation can eliminate these transients and lead to stable simulation. Most exiting multibody formulations determine the static equilibrium position by minimizing the system potential energy. This paper presents a new general purpose approach for solving the static equilibrium in large-scale articulated multibody. The proposed approach introduces an energy drainage mechanism based on Baumgarte constraint stabilization approach to determine the static equilibrium position. The spatial algebra operator is used to express the kinematic and dynamic equations of the closed-loop multibody system. The proposed multibody system formulation utilizes the joint coordinates and modal elastic coordinates as the system generalized coordinates. The recursive nonlinear equations of motion are formulated using the Cartesian coordinates and the joint coordinates to form an augmented set of differential algebraic equations. Then system connectivity matrix is derived from the system topological relations and used to project the Cartesian quantities into the joint subspace leading to minimum set of differential equations. PMID:25045732
Omar, Mohamed A
2014-01-01
Initial transient oscillations inhibited in the dynamic simulations responses of multibody systems can lead to inaccurate results, unrealistic load prediction, or simulation failure. These transients could result from incompatible initial conditions, initial constraints violation, and inadequate kinematic assembly. Performing static equilibrium analysis before the dynamic simulation can eliminate these transients and lead to stable simulation. Most exiting multibody formulations determine the static equilibrium position by minimizing the system potential energy. This paper presents a new general purpose approach for solving the static equilibrium in large-scale articulated multibody. The proposed approach introduces an energy drainage mechanism based on Baumgarte constraint stabilization approach to determine the static equilibrium position. The spatial algebra operator is used to express the kinematic and dynamic equations of the closed-loop multibody system. The proposed multibody system formulation utilizes the joint coordinates and modal elastic coordinates as the system generalized coordinates. The recursive nonlinear equations of motion are formulated using the Cartesian coordinates and the joint coordinates to form an augmented set of differential algebraic equations. Then system connectivity matrix is derived from the system topological relations and used to project the Cartesian quantities into the joint subspace leading to minimum set of differential equations.
Genome engineering in the yeast pathogen Candida glabrata using the CRISPR-Cas9 system
Enkler, Ludovic; Richer, Delphine; Marchand, Anthony L.; Ferrandon, Dominique; Jossinet, Fabrice
2016-01-01
Among Candida species, the opportunistic fungal pathogen Candida glabrata has become the second most common causative agent of candidiasis in the world and a major public health concern. Yet, few molecular tools and resources are available to explore the biology of C. glabrata and to better understand its virulence during infection. In this study, we describe a robust experimental strategy to generate loss-of-function mutants in C. glabrata. The procedure is based on the development of three main tools: (i) a recombinant strain of C. glabrata constitutively expressing the CRISPR-Cas9 system, (ii) an online program facilitating the selection of the most efficient guide RNAs for a given C. glabrata gene, and (iii) the identification of mutant strains by the Surveyor technique and sequencing. As a proof-of-concept, we have tested the virulence of some mutants in vivo in a Drosophila melanogaster infection model. Our results suggest that yps11 and a previously uncharacterized serine/threonine kinase are involved, directly or indirectly, in the ability of the pathogenic yeast to infect this model host organism. PMID:27767081
ADAM: Analysis of Discrete Models of Biological Systems Using Computer Algebra
2011-01-01
Background Many biological systems are modeled qualitatively with discrete models, such as probabilistic Boolean networks, logical models, Petri nets, and agent-based models, to gain a better understanding of them. The computational complexity to analyze the complete dynamics of these models grows exponentially in the number of variables, which impedes working with complex models. There exist software tools to analyze discrete models, but they either lack the algorithmic functionality to analyze complex models deterministically or they are inaccessible to many users as they require understanding the underlying algorithm and implementation, do not have a graphical user interface, or are hard to install. Efficient analysis methods that are accessible to modelers and easy to use are needed. Results We propose a method for efficiently identifying attractors and introduce the web-based tool Analysis of Dynamic Algebraic Models (ADAM), which provides this and other analysis methods for discrete models. ADAM converts several discrete model types automatically into polynomial dynamical systems and analyzes their dynamics using tools from computer algebra. Specifically, we propose a method to identify attractors of a discrete model that is equivalent to solving a system of polynomial equations, a long-studied problem in computer algebra. Based on extensive experimentation with both discrete models arising in systems biology and randomly generated networks, we found that the algebraic algorithms presented in this manuscript are fast for systems with the structure maintained by most biological systems, namely sparseness and robustness. For a large set of published complex discrete models, ADAM identified the attractors in less than one second. Conclusions Discrete modeling techniques are a useful tool for analyzing complex biological systems and there is a need in the biological community for accessible efficient analysis tools. ADAM provides analysis methods based on
Optimization of genome engineering approaches with the CRISPR/Cas9 system.
Li, Kai; Wang, Gang; Andersen, Troels; Zhou, Pingzhu; Pu, William T
2014-01-01
Designer nucleases such as TALENS and Cas9 have opened new opportunities to scarlessly edit the mammalian genome. Here we explored several parameters that influence Cas9-mediated scarless genome editing efficiency in murine embryonic stem cells. Optimization of transfection conditions and enriching for transfected cells are critical for efficiently recovering modified clones. Paired gRNAs and wild-type Cas9 efficiently create programmed deletions, which facilitate identification of targeted clones, while paired gRNAs and the Cas9D10A nickase generated smaller targeted indels with lower chance of off-target mutagenesis. Genome editing is also useful for programmed introduction of exogenous DNA sequences at a target locus. Increasing the length of the homology arms of the homology-directed repair template strongly enhanced targeting efficiency, while increasing the length of the DNA insert reduced it. Together our data provide guidance on optimal design of scarless gene knockout, modification, or knock-in experiments using Cas9 nuclease.
Using geometric algebra to understand pattern rotations in multiple mirror optical systems
Hanlon, J.; Ziock, H.
1997-05-01
Geometric Algebra (GA) is a new formulation of Clifford Algebra that includes vector analysis without notation changes. Most applications of Ga have been in theoretical physics, but GA is also a very good analysis tool for engineering. As an example, the authors use GA to study pattern rotation in optical systems with multiple mirror reflections. The common ways to analyze pattern rotations are to use rotation matrices or optical ray trace codes, but these are often inconvenient. The authors use GA to develop a simple expression for pattern rotation that is useful for designing or tolerancing pattern rotations in a multiple mirror optical system by inspection. Pattern rotation is used in many optical engineering systems, but it is not normally covered in optical system engineering texts. Pattern rotation is important in optical systems such as: (1) the 192 beam National ignition Facility (NIF), which uses square laser beams in close packed arrays to cut costs; (2) visual optical systems, which use pattern rotation to present the image to the observer in the appropriate orientation, and (3) the UR90 unstable ring resonator, which uses pattern rotation to fill a rectangular laser gain region and provide a filled-in laser output beam.
Fujita, Toshitsugu; Fujii, Hodaka
2015-01-01
Engineered DNA-binding molecules such as transcription activator-like effector (TAL or TALE) proteins and the clustered regularly interspaced short palindromic repeats (CRISPR) and CRISPR-associated proteins (Cas) (CRISPR/Cas) system have been used extensively for genome editing in cells of various types and species. The sequence-specific DNA-binding activities of these engineered DNA-binding molecules can also be utilized for other purposes, such as transcriptional activation, transcriptional repression, chromatin modification, visualization of genomic regions, and isolation of chromatin in a locus-specific manner. In this review, we describe applications of these engineered DNA-binding molecules for biological purposes other than genome editing. PMID:26404236
Torres, R; Martin, M C; Garcia, A; Cigudosa, Juan C; Ramirez, J C; Rodriguez-Perales, S
2014-06-03
Cancer-related human chromosomal translocations are generated through the illegitimate joining of two non-homologous chromosomes affected by double-strand breaks (DSB). Effective methodologies to reproduce precise reciprocal tumour-associated chromosomal translocations are required to gain insight into the initiation of leukaemia and sarcomas. Here we present a strategy for generating cancer-related human chromosomal translocations in vitro based on the ability of the RNA-guided CRISPR-Cas9 system to induce DSBs at defined positions. Using this approach we generate human cell lines and primary cells bearing chromosomal translocations resembling those described in acute myeloid leukaemia and Ewing's sarcoma at high frequencies. FISH and molecular analysis at the mRNA and protein levels of the fusion genes involved in these engineered cells reveal the reliability and accuracy of the CRISPR-Cas9 approach, providing a powerful tool for cancer studies.
Cell Locating with the Image Analysis System of the CAS-LIBB Single-Particle Microbeam Facility
NASA Astrophysics Data System (ADS)
Wang, Xiaohua; Wang, Shaohu; Yu, Zengliang
2005-06-01
A single-particle microbeam facility has been constructed at the Key Laboratory of Ion Beam Bioengineering (LIBB), Chinese Academy of Sciences (CAS). At the CAS-LIBB microbeam facility, we have developed protocols to place exact numbers of charged particles through nuclear centroids of cells, at defined positions in the cytoplasm relative to the nucleus, and through defined fractions of cells in a population. In this paper, we address the methods for nucleus, cytoplasm and bystander (either a single or an exact number of ions is delivered to a certain percentage of cells in a population to study the bystander effects of radiation) irradiation in detail from the precision of target finding and cell locating in the image analysis system. Moreover, for cells touching slightly in an image, a watershed method is used to separate these touching objects; after that, the number of objects in an image is counted accurately and the irradiation points are located precisely.
Hammond, Andrew; Galizi, Roberto; Kyrou, Kyros; Simoni, Alekos; Siniscalchi, Carla; Katsanos, Dimitris; Gribble, Matthew; Baker, Dean; Marois, Eric; Russell, Steven; Burt, Austin; Windbichler, Nikolai; Crisanti, Andrea; Nolan, Tony
2016-01-01
Gene drive systems that enable super-Mendelian inheritance of a transgene have the potential to modify insect populations over a timeframe of a few years. We describe CRISPR-Cas9 endonuclease constructs that function as gene drive systems in Anopheles gambiae, the main vector for malaria. We identified three genes (AGAP005958, AGAP011377 and AGAP007280) that confer a recessive female-sterility phenotype upon disruption, and inserted into each locus CRISPR-Cas9 gene drive constructs designed to target and edit each gene. For each targeted locus we observed a strong gene drive at the molecular level, with transmission rates to progeny of 91.4 to 99.6%. Population modeling and cage experiments indicate that a CRISPR-Cas9 construct targeting one of these loci, AGAP007280, meets the minimum requirement for a gene drive targeting female reproduction in an insect population. These findings could expedite the development of gene drives to suppress mosquito populations to levels that do not support malaria transmission. PMID:26641531
A geminivirus-based guide RNA delivery system for CRISPR/Cas9 mediated plant genome editing
Yin, Kangquan; Han, Ting; Liu, Guang; Chen, Tianyuan; Wang, Ying; Yu, Alice Yunzi L.; Liu, Yule
2015-01-01
CRISPR/Cas has emerged as potent genome editing technology and has successfully been applied in many organisms, including several plant species. However, delivery of genome editing reagents remains a challenge in plants. Here, we report a virus-based guide RNA (gRNA) delivery system for CRISPR/Cas9 mediated plant genome editing (VIGE) that can be used to precisely target genome locations and cause mutations. VIGE is performed by using a modified Cabbage Leaf Curl virus (CaLCuV) vector to express gRNAs in stable transgenic plants expressing Cas9. DNA sequencing confirmed VIGE of endogenous NbPDS3 and NbIspH genes in non-inoculated leaves because CaLCuV can infect plants systemically. Moreover, VIGE of NbPDS3 and NbIspH in newly developed leaves caused photo-bleached phenotype. These results demonstrate that geminivirus-based VIGE could be a powerful tool in plant genome editing. PMID:26450012
A geminivirus-based guide RNA delivery system for CRISPR/Cas9 mediated plant genome editing.
Yin, Kangquan; Han, Ting; Liu, Guang; Chen, Tianyuan; Wang, Ying; Yu, Alice Yunzi L; Liu, Yule
2015-01-01
CRISPR/Cas has emerged as potent genome editing technology and has successfully been applied in many organisms, including several plant species. However, delivery of genome editing reagents remains a challenge in plants. Here, we report a virus-based guide RNA (gRNA) delivery system for CRISPR/Cas9 mediated plant genome editing (VIGE) that can be used to precisely target genome locations and cause mutations. VIGE is performed by using a modified Cabbage Leaf Curl virus (CaLCuV) vector to express gRNAs in stable transgenic plants expressing Cas9. DNA sequencing confirmed VIGE of endogenous NbPDS3 and NbIspH genes in non-inoculated leaves because CaLCuV can infect plants systemically. Moreover, VIGE of NbPDS3 and NbIspH in newly developed leaves caused photo-bleached phenotype. These results demonstrate that geminivirus-based VIGE could be a powerful tool in plant genome editing. PMID:26450012
Generation of gene-modified goats targeting MSTN and FGF5 via zygote injection of CRISPR/Cas9 system
Wang, Xiaolong; Yu, Honghao; Lei, Anmin; Zhou, Jiankui; Zeng, Wenxian; Zhu, Haijing; Dong, Zhiming; Niu, Yiyuan; Shi, Bingbo; Cai, Bei; Liu, Jinwang; Huang, Shuai; Yan, Hailong; Zhao, Xiaoe; Zhou, Guangxian; He, Xiaoling; Chen, Xiaoxu; Yang, Yuxin; Jiang, Yu; Shi, Lei; Tian, Xiue; Wang, Yongjun; Ma, Baohua; Huang, Xingxu; Qu, Lei; Chen, Yulin
2015-01-01
Recent advances in the study of the CRISPR/Cas9 system have provided a precise and versatile approach for genome editing in various species. However, the applicability and efficiency of this method in large animal models, such as the goat, have not been extensively studied. Here, by co-injection of one-cell stage embryos with Cas9 mRNA and sgRNAs targeting two functional genes (MSTN and FGF5), we successfully produced gene-modified goats with either one or both genes disrupted. The targeting efficiency of MSTN and FGF5 in cultured primary fibroblasts was as high as 60%, while the efficiency of disrupting MSTN and FGF5 in 98 tested animals was 15% and 21% respectively, and 10% for double gene modifications. The on- and off-target mutations of the target genes in fibroblasts, as well as in somatic tissues and testis of founder and dead animals, were carefully analyzed. The results showed that simultaneous editing of several sites was achieved in large animals, demonstrating that the CRISPR/Cas9 system has the potential to become a robust and efficient gene engineering tool in farm animals, and therefore will be critically important and applicable for breeding. PMID:26354037
Hammond, Andrew; Galizi, Roberto; Kyrou, Kyros; Simoni, Alekos; Siniscalchi, Carla; Katsanos, Dimitris; Gribble, Matthew; Baker, Dean; Marois, Eric; Russell, Steven; Burt, Austin; Windbichler, Nikolai; Crisanti, Andrea; Nolan, Tony
2016-01-01
Gene drive systems that enable super-Mendelian inheritance of a transgene have the potential to modify insect populations over a timeframe of a few years. We describe CRISPR-Cas9 endonuclease constructs that function as gene drive systems in Anopheles gambiae, the main vector for malaria. We identified three genes (AGAP005958, AGAP011377 and AGAP007280) that confer a recessive female-sterility phenotype upon disruption, and inserted into each locus CRISPR-Cas9 gene drive constructs designed to target and edit each gene. For each targeted locus we observed a strong gene drive at the molecular level, with transmission rates to progeny of 91.4 to 99.6%. Population modeling and cage experiments indicate that a CRISPR-Cas9 construct targeting one of these loci, AGAP007280, meets the minimum requirement for a gene drive targeting female reproduction in an insect population. These findings could expedite the development of gene drives to suppress mosquito populations to levels that do not support malaria transmission.
[A quick and efficient method to generate hemophilia B mouse models by the CRISPR/Cas system].
Qihan, Wang; Cong, Huai; Ruilin, Sun; Hua, Zhuang; Hongyan, Chen; Jian, Fei; Daru, Lu
2015-11-01
Hemophilia B, or the Christmas disease, is a common human disease caused by coagulation factor Ⅸ (FⅨ) deficiency. It is an X-linked recessive hereditary disease. Here we obtained FⅨ-knockout mouse strains with phenotype of hemophilia B with the CRISPR/Cas system efficiently. We chose the 8th exon as the target locus, and co-injected codon-optimized Cas9 mRNA with sgRNA of FⅨ into C57BL/6 mice zygotes. We obtained 60 mice in total and genotyped them by high resolution melting (HRM) and sequencing. The results showed the mutation rate was 85.0% in total, and 79.5% and 95.2% in males and females, respectively. No off-targets were detected in the similar locus by HRM. We future measured the FⅨ activity of each mice. The FⅨ: C of mutant mice were significantly below the normal level and reduced to 6.82% of wild-type mice. The activity assay demonstrated that all the mutant mice were lack of FⅨ. In summary, we have generated hemophilia B model mice with extreme efficiency, using the RNA-guided Cas9 nuclease gene editing system.
Hammond, Andrew; Galizi, Roberto; Kyrou, Kyros; Simoni, Alekos; Siniscalchi, Carla; Katsanos, Dimitris; Gribble, Matthew; Baker, Dean; Marois, Eric; Russell, Steven; Burt, Austin; Windbichler, Nikolai; Crisanti, Andrea; Nolan, Tony
2016-01-01
Gene-drive systems that enable super-Mendelian inheritance of a transgene have the potential to modify insect populations over a timeframe of a few years [AU please provide a real estimate, this seems vague]. We describe CRISPR-Cas9 endonuclease constructs that function as gene-drive systems in Anopheles gambiae, the main vector for malaria [AU:OK?]. We identified three genes (AGAP005958, AGAP011377 and AGAP007280) that confer a recessive female sterility phenotype upon disruption, and inserted into each locus CRISPR-Cas9 gene-drive constructs designed to target and edit each gene [AU:OK?]. For each locus targeted we observed strong gene drive at the molecular level, with transmission rates to progeny of 91 to 99.6%. Population modelling and cage experiments indicate that a CRISPR-Cas9 construct targeting one of these loci, AGAP007280, meets the minimum requirement for a gene drive targeting female reproduction in an insect population. These findings could expedite the development of gene drives to control suppress mosquito populations to levels that do not support malaria transmission. PMID:26641531
Lier, Clément; Baticle, Elodie; Horvath, Philippe; Haguenoer, Eve; Valentin, Anne-Sophie; Glaser, Philippe; Mereghetti, Laurent; Lanotte, Philippe
2015-01-01
CRISPR-Cas systems (clustered regularly interspaced short palindromic repeats/CRISPR-associated proteins) are found in 90% of archaea and about 40% of bacteria. In this original system, CRISPR arrays comprise short, almost unique sequences called spacers that are interspersed with conserved palindromic repeats. These systems play a role in adaptive immunity and participate to fight non-self DNA such as integrative and conjugative elements, plasmids, and phages. In Streptococcus agalactiae, a bacterium implicated in colonization and infections in humans since the 1960s, two CRISPR-Cas systems have been described. A type II-A system, characterized by proteins Cas9, Cas1, Cas2, and Csn2, is ubiquitous, and a type I–C system, with the Cas8c signature protein, is present in about 20% of the isolates. Unlike type I–C, which appears to be non-functional, type II-A appears fully functional. Here we studied type II-A CRISPR-cas loci from 126 human isolates of S. agalactiae belonging to different clonal complexes that represent the diversity of the species and that have been implicated in colonization or infection. The CRISPR-cas locus was analyzed both at spacer and repeat levels. Major distinctive features were identified according to the phylogenetic lineages previously defined by multilocus sequence typing, especially for the sequence type (ST) 17, which is considered hypervirulent. Among other idiosyncrasies, ST-17 shows a significantly lower number of spacers in comparison with other lineages. This characteristic could reflect the peculiar virulence or colonization specificities of this lineage. PMID:26124774
Generation of genetically modified mice using CRISPR/Cas9 and haploid embryonic stem cell systems
JIN, Li-Fang; LI, Jin-Song
2016-01-01
With the development of high-throughput sequencing technology in the post-genomic era, researchers have concentrated their efforts on elucidating the relationships between genes and their corresponding functions. Recently, important progress has been achieved in the generation of genetically modified mice based on CRISPR/Cas9 and haploid embryonic stem cell (haESC) approaches, which provide new platforms for gene function analysis, human disease modeling, and gene therapy. Here, we review the CRISPR/Cas9 and haESC technology for the generation of genetically modified mice and discuss the key challenges in the application of these approaches. PMID:27469251
Generation of genetically modified mice using CRISPR/Cas9 and haploid embryonic stem cell systems.
Jin, Li-Fang; Li, Jin-Song
2016-07-18
With the development of high-throughput sequencing technology in the post-genomic era, researchers have concentrated their efforts on elucidating the relationships between genes and their corresponding functions. Recently, important progress has been achieved in the generation of genetically modified mice based on CRISPR/Cas9 and haploid embryonic stem cell (haESC) approaches, which provide new platforms for gene function analysis, human disease modeling, and gene therapy. Here, we review the CRISPR/Cas9 and haESC technology for the generation of genetically modified mice and discuss the key challenges in the application of these approaches. PMID:27469251
μ -symmetry breaking: An algebraic approach to finding mean fields of quantum many-body systems
NASA Astrophysics Data System (ADS)
Higashikawa, Sho; Ueda, Masahito
2016-07-01
One of the most fundamental problems in quantum many-body systems is the identification of a mean field in spontaneous symmetry breaking which is usually made in a heuristic manner. We propose a systematic method of finding a mean field based on the Lie algebra and the dynamical symmetry by introducing a class of symmetry-broken phases which we call μ -symmetry breaking. We show that for μ -symmetry breaking the quadratic part of an effective Lagrangian of Nambu-Goldstone modes can be block-diagonalized and that homotopy groups of topological excitations can be calculated systematically.
The development of an algebraic multigrid algorithm for symmetric positive definite linear systems
Vanek, P.; Mandel, J.; Brezina, M.
1996-12-31
An algebraic multigrid algorithm for symmetric, positive definite linear systems is developed based on the concept of prolongation by smoothed aggregation. Coarse levels are generated automatically. We present a set of requirements motivated heuristically by a convergence theory. The algorithm then attempts to satisfy the requirements. Input to the method are the coefficient matrix and zero energy modes, which are determined from nodal coordinates and knowledge of the differential equation. Efficiency of the resulting algorithm is demonstrated by computational results on real world problems from solid elasticity, plate blending, and shells.
Non-Hermitian systems of Euclidean Lie algebraic type with real energy spectra
Dey, Sanjib Fring, Andreas Mathanaranjan, Thilagarajah
2014-07-15
We study several classes of non-Hermitian Hamiltonian systems, which can be expressed in terms of bilinear combinations of Euclidean–Lie algebraic generators. The classes are distinguished by different versions of antilinear (PT)-symmetries exhibiting various types of qualitative behaviour. On the basis of explicitly computed non-perturbative Dyson maps we construct metric operators, isospectral Hermitian counterparts for which we solve the corresponding time-independent Schrödinger equation for specific choices of the coupling constants. In these cases general analytical expressions for the solutions are obtained in the form of Mathieu functions, which we analyze numerically to obtain the corresponding energy spectra. We identify regions in the parameter space for which the corresponding spectra are entirely real and also domains where the PT symmetry is spontaneously broken and sometimes also regained at exceptional points. In some cases it is shown explicitly how the threshold region from real to complex spectra is characterized by the breakdown of the Dyson maps or the metric operator. We establish the explicit relationship to models currently under investigation in the context of beam dynamics in optical lattices. -- Highlights: •Different PT-symmetries lead to qualitatively different systems. •Construction of non-perturbative Dyson maps and isospectral Hermitian counterparts. •Numerical discussion of the eigenvalue spectra for one of the E(2)-systems. •Established link to systems studied in the context of optical lattices. •Setup for the E(3)-algebra is provided.
Shao, Ming; Xu, Tian-Rui; Chen, Ce-Shi
2016-07-18
Targeted genome editing technology has been widely used in biomedical studies. The CRISPR-associated RNA-guided endonuclease Cas9 has become a versatile genome editing tool. The CRISPR/Cas9 system is useful for studying gene function through efficient knock-out, knock-in or chromatin modification of the targeted gene loci in various cell types and organisms. It can be applied in a number of fields, such as genetic breeding, disease treatment and gene functional investigation. In this review, we introduce the most recent developments and applications, the challenges, and future directions of Cas9 in generating disease animal model. Derived from the CRISPR adaptive immune system of bacteria, the development trend of Cas9 will inevitably fuel the vital applications from basic research to biotechnology and bio-medicine. PMID:27469250
Shao, Ming; Xu, Tian-Rui; Chen, Ce-Shi
2016-07-18
Targeted genome editing technology has been widely used in biomedical studies. The CRISPR-associated RNA-guided endonuclease Cas9 has become a versatile genome editing tool. The CRISPR/Cas9 system is useful for studying gene function through efficient knock-out, knock-in or chromatin modification of the targeted gene loci in various cell types and organisms. It can be applied in a number of fields, such as genetic breeding, disease treatment and gene functional investigation. In this review, we introduce the most recent developments and applications, the challenges, and future directions of Cas9 in generating disease animal model. Derived from the CRISPR adaptive immune system of bacteria, the development trend of Cas9 will inevitably fuel the vital applications from basic research to biotechnology and bio-medicine.
SHAO, Ming; XU, Tian-Rui; CHEN, Ce-Shi
2016-01-01
Targeted genome editing technology has been widely used in biomedical studies. The CRISPR-associated RNA-guided endonuclease Cas9 has become a versatile genome editing tool. The CRISPR/Cas9 system is useful for studying gene function through efficient knock-out, knock-in or chromatin modification of the targeted gene loci in various cell types and organisms. It can be applied in a number of fields, such as genetic breeding, disease treatment and gene functional investigation. In this review, we introduce the most recent developments and applications, the challenges, and future directions of Cas9 in generating disease animal model. Derived from the CRISPR adaptive immune system of bacteria, the development trend of Cas9 will inevitably fuel the vital applications from basic research to biotechnology and biomedicine. PMID:27469250
Petzold, L.R.; Rosen, J.B.
1997-12-30
Differential-algebraic equations arise in a wide variety of engineering and scientific problems. Relatively little work has been done regarding sensitivity analysis and model reduction for this class of problems. Efficient methods for sensitivity analysis are required in model development and as an intermediate step in design optimization of engineering processes. Reduced order models are needed for modelling complex physical phenomena like turbulent reacting flows, where it is not feasible to use a fully-detailed model. The objective of this work has been to develop numerical methods and software for sensitivity analysis and model reduction of nonlinear differential-algebraic systems, including large-scale systems. In collaboration with Peter Brown and Alan Hindmarsh of LLNL, the authors developed an algorithm for finding consistent initial conditions for several widely occurring classes of differential-algebraic equations (DAEs). The new algorithm is much more robust than the previous algorithm. It is also very easy to use, having been designed to require almost no information about the differential equation, Jacobian matrix, etc. in addition to what is already needed to take the subsequent time steps. The new algorithm has been implemented in a version of the software for solution of large-scale DAEs, DASPK, which has been made available on the internet. The new methods and software have been used to solve a Tokamak edge plasma problem at LLNL which could not be solved with the previous methods and software because of difficulties in finding consistent initial conditions. The capability of finding consistent initial values is also needed for the sensitivity and optimization efforts described in this paper.
ERIC Educational Resources Information Center
Lagrange, Jean-Baptiste
2007-01-01
The relationship between teachers and Computer Algebra Systems is generally problematic. The extensive capabilities of CAS provide opportunities for learning but also bring a new complexity that makes it difficult for teachers to take advantage of these opportunities. Barzel's paper contrasts with this observation: in a "Lernwerkstatt"…
ERIC Educational Resources Information Center
Levy, Alissa Beth
2012-01-01
The California Department of Education (CDE) has long asserted that success Algebra I by Grade 8 is the goal for all California public school students. In fact, the state's accountability system penalizes schools that do not require all of their students to take the Algebra I end-of-course examination by Grade 8 (CDE, 2009). In this…
Box, Allison M.; McGuffie, Matthew J.; O'Hara, Brendan J.
2015-01-01
ABSTRACT The classical and El Tor biotypes of Vibrio cholerae serogroup O1, the etiological agent of cholera, are responsible for the sixth and seventh (current) pandemics, respectively. A genomic island (GI), GI-24, previously identified in a classical biotype strain of V. cholerae, is predicted to encode clustered regularly interspaced short palindromic repeat (CRISPR)-associated proteins (Cas proteins); however, experimental evidence in support of CRISPR activity in V. cholerae has not been documented. Here, we show that CRISPR-Cas is ubiquitous in strains of the classical biotype but excluded from strains of the El Tor biotype. We also provide in silico evidence to suggest that CRISPR-Cas actively contributes to phage resistance in classical strains. We demonstrate that transfer of GI-24 to V. cholerae El Tor via natural transformation enables CRISPR-Cas-mediated resistance to bacteriophage CP-T1 under laboratory conditions. To elucidate the sequence requirements of this type I-E CRISPR-Cas system, we engineered a plasmid-based system allowing the directed targeting of a region of interest. Through screening for phage mutants that escape CRISPR-Cas-mediated resistance, we show that CRISPR targets must be accompanied by a 3′ TT protospacer-adjacent motif (PAM) for efficient interference. Finally, we demonstrate that efficient editing of V. cholerae lytic phage genomes can be performed by simultaneously introducing an editing template that allows homologous recombination and escape from CRISPR-Cas targeting. IMPORTANCE Cholera, caused by the facultative pathogen Vibrio cholerae, remains a serious public health threat. Clustered regularly interspaced short palindromic repeats and CRISPR-associated proteins (CRISPR-Cas) provide prokaryotes with sequence-specific protection from invading nucleic acids, including bacteriophages. In this work, we show that one genomic feature differentiating sixth pandemic (classical biotype) strains from seventh pandemic (El Tor
Bao, Zehua; Xiao, Han; Liang, Jing; Zhang, Lu; Xiong, Xiong; Sun, Ning; Si, Tong; Zhao, Huimin
2015-05-15
One-step multiple gene disruption in the model organism Saccharomyces cerevisiae is a highly useful tool for both basic and applied research, but it remains a challenge. Here, we report a rapid, efficient, and potentially scalable strategy based on the type II Clustered Regularly Interspaced Short Palindromic Repeats (CRISPR)-CRISPR associated proteins (Cas) system to generate multiple gene disruptions simultaneously in S. cerevisiae. A 100 bp dsDNA mutagenizing homologous recombination donor is inserted between two direct repeats for each target gene in a CRISPR array consisting of multiple donor and guide sequence pairs. An ultrahigh copy number plasmid carrying iCas9, a variant of wild-type Cas9, trans-encoded RNA (tracrRNA), and a homology-integrated crRNA cassette is designed to greatly increase the gene disruption efficiency. As proof of concept, three genes, CAN1, ADE2, and LYP1, were simultaneously disrupted in 4 days with an efficiency ranging from 27 to 87%. Another three genes involved in an artificial hydrocortisone biosynthetic pathway, ATF2, GCY1, and YPR1, were simultaneously disrupted in 6 days with 100% efficiency. This homology-integrated CRISPR (HI-CRISPR) strategy represents a powerful tool for creating yeast strains with multiple gene knockouts.
Kim, Joshua; Guan, Huaiqun; Gersten, David; Zhang, Tiezhi
2013-01-01
Tetrahedron beam computed tomography (TBCT) performs volumetric imaging using a stack of fan beams generated by a multiple pixel X-ray source. While the TBCT system was designed to overcome the scatter and detector issues faced by cone beam computed tomography (CBCT), it still suffers the same large cone angle artifacts as CBCT due to the use of approximate reconstruction algorithms. It has been shown that iterative reconstruction algorithms are better able to model irregular system geometries and that algebraic iterative algorithms in particular have been able to reduce cone artifacts appearing at large cone angles. In this paper, the SART algorithm is modified for the use with the different TBCT geometries and is tested using both simulated projection data and data acquired using the TBCT benchtop system. The modified SART reconstruction algorithms were able to mitigate the effects of using data generated at large cone angles and were also able to reconstruct CT images without the introduction of artifacts due to either the longitudinal or transverse truncation in the data sets. Algebraic iterative reconstruction can be especially useful for dual-source dual-detector TBCT, wherein the cone angle is the largest in the center of the field of view.
Unified algebraic approach to few- and many-body correlated systems
NASA Astrophysics Data System (ADS)
Gurappa, N.; Panigrahi, Prasanta K.
2003-04-01
The present paper is an extended version of another paper [Phys. Rev. B 59, R2490 (1999)], where we have established the equivalence of the Calogero-Sutherland model to decoupled oscillators. Here, we first employ the same approach for finding the eigenstates of a large class of Hamiltonians, dealing with correlated systems. A number of few- and many-body interacting models are studied and the relationship between their respective Hilbert spaces, with that of oscillators, is found. This connection is then used to obtain the spectrum generating algebras for these systems and make an algebraic statement about correlated systems. The procedure to generate solvable interacting models is outlined. We then point out the inadequacies of the present technique and make use of a method for solving linear differential equations to diagonalize the Sutherland model and establish a precise connection between this correlated system’s wave functions, with those of the free particles on a circle. In the process, we obtain an expression for the Jack polynomials. In two dimensions, we analyze the Hamiltonian having Laughlin wave function as the ground state and point out the natural emergence of the underlying linear W1+∞ symmetry in this approach.
NASA Astrophysics Data System (ADS)
Zhang, Shunli; Zhang, Dinghua; Gong, Hao; Ghasemalizadeh, Omid; Wang, Ge; Cao, Guohua
2014-11-01
Iterative algorithms, such as the algebraic reconstruction technique (ART), are popular for image reconstruction. For iterative reconstruction, the area integral model (AIM) is more accurate for better reconstruction quality than the line integral model (LIM). However, the computation of the system matrix for AIM is more complex and time-consuming than that for LIM. Here, we propose a fast and accurate method to compute the system matrix for AIM. First, we calculate the intersection of each boundary line of a narrow fan-beam with pixels in a recursive and efficient manner. Then, by grouping the beam-pixel intersection area into six types according to the slopes of the two boundary lines, we analytically compute the intersection area of the narrow fan-beam with the pixels in a simple algebraic fashion. Overall, experimental results show that our method is about three times faster than the Siddon algorithm and about two times faster than the distance-driven model (DDM) in computation of the system matrix. The reconstruction speed of our AIM-based ART is also faster than the LIM-based ART that uses the Siddon algorithm and DDM-based ART, for one iteration. The fast reconstruction speed of our method was accomplished without compromising the image quality.
MAMA: an algebraic map for the secular dynamics of planetesimals in tight binary systems
NASA Astrophysics Data System (ADS)
Leiva, A. M.; Correa-Otto, J. A.; Beaugé, C.
2013-12-01
We present an algebraic map (MAMA) for the dynamical and collisional evolution of a planetesimal swarm orbiting the main star of a tight binary system. The orbital evolution of each planetesimal is dictated by the secular perturbations of the secondary star and gas drag due to interactions with a protoplanetary disc. The gas disc is assumed eccentric with a constant precession rate. Gravitational interactions between the planetesimals are ignored. All bodies are assumed coplanar. A comparison with full N-body simulations shows that the map is of the order of 102 times faster, while preserving all the main characteristics of the full system. In a second part of the work, we apply multiparticle algebraic map for accretion (MAMA) to the γ-Cephei, searching for friendly scenarios that may explain the formation of the giant planet detected in this system. For low-mass protoplanetary discs, we find that a low-eccentricity static disc aligned with the binary yields impact velocities between planetesimals below the disruption threshold. All other scenarios appear hostile to planetary formation.
Modelling and temporal performances evaluation of networked control systems using (max, +) algebra
NASA Astrophysics Data System (ADS)
Ammour, R.; Amari, S.
2015-01-01
In this paper, we address the problem of temporal performances evaluation of producer/consumer networked control systems. The aim is to develop a formal method for evaluating the response time of this type of control systems. Our approach consists on modelling, using Petri nets classes, the behaviour of the whole architecture including the switches that support multicast communications used by this protocol. (max, +) algebra formalism is then exploited to obtain analytical formulas of the response time and the maximal and minimal bounds. The main novelty is that our approach takes into account all delays experienced at the different stages of networked automation systems. Finally, we show how to apply the obtained results through an example of networked control system.
Diomandé, Sara Esther; Chamot, Stéphanie; Antolinos, Vera; Vasai, Florian; Guinebretière, Marie-Hélène; Bornard, Isabelle; Nguyen-the, Christophe; Broussolle, Véronique; Brillard, Julien
2014-04-01
The different strains of Bacillus cereus can grow at temperatures covering a very diverse range. Some B. cereus strains can grow in chilled food and consequently cause food poisoning. We have identified a new sensor/regulator mechanism involved in low-temperature B. cereus growth. Construction of a mutant of this two-component system enabled us to show that this system, called CasKR, is required for growth at the minimal temperature (Tmin). CasKR was also involved in optimal cold growth above Tmin and in cell survival below Tmin. Microscopic observation showed that CasKR plays a key role in cell shape during cold growth. Introducing the casKR genes in a ΔcasKR mutant restored its ability to grow at Tmin. Although it was first identified in the ATCC 14579 model strain, this mechanism has been conserved in most strains of the B. cereus group. We show that the role of CasKR in cold growth is similar in other B. cereus sensu lato strains with different growth temperature ranges, including psychrotolerant strains.
Diomandé, Sara Esther; Chamot, Stéphanie; Antolinos, Vera; Vasai, Florian; Guinebretière, Marie-Hélène; Bornard, Isabelle; Nguyen-the, Christophe; Broussolle, Véronique
2014-01-01
The different strains of Bacillus cereus can grow at temperatures covering a very diverse range. Some B. cereus strains can grow in chilled food and consequently cause food poisoning. We have identified a new sensor/regulator mechanism involved in low-temperature B. cereus growth. Construction of a mutant of this two-component system enabled us to show that this system, called CasKR, is required for growth at the minimal temperature (Tmin). CasKR was also involved in optimal cold growth above Tmin and in cell survival below Tmin. Microscopic observation showed that CasKR plays a key role in cell shape during cold growth. Introducing the casKR genes in a ΔcasKR mutant restored its ability to grow at Tmin. Although it was first identified in the ATCC 14579 model strain, this mechanism has been conserved in most strains of the B. cereus group. We show that the role of CasKR in cold growth is similar in other B. cereus sensu lato strains with different growth temperature ranges, including psychrotolerant strains. PMID:24509924
Butler, Nathaniel M.; Atkins, Paul A.; Voytas, Daniel F.; Douches, David S.
2015-01-01
Genome editing using sequence-specific nucleases (SSNs) offers an alternative approach to conventional genetic engineering and an opportunity to extend the benefits of genetic engineering in agriculture. Currently available SSN platforms, such as zinc finger nucleases (ZFNs), transcription activator-like effector nucleases (TALENs), and CRISPR/Cas (clustered regularly interspaced short palindromic repeats (CRISPR)/CRISPR-associated systems (Cas)) have been used in a range of plant species for targeted mutagenesis via non-homologous end joining (NHEJ) are just beginning to be explored in crops such as potato (Solanum tuberosum Group Tuberosum L.). In this study, CRISPR/Cas reagents expressing one of two single-guide RNA (sgRNA) targeting the potato ACETOLACTATE SYNTHASE1 (StALS1) gene were tested for inducing targeted mutations in callus and stable events of diploid and tetraploid potato using Agrobacterium-mediated transformation with either a conventional T-DNA or a modified geminivirus T-DNA. The percentage of primary events with targeted mutations ranged from 3–60% per transformation and from 0–29% above an expected threshold based on the number of ALS alleles. Primary events with targeted mutation frequencies above the expected threshold were used for mutation cloning and inheritance studies using clonal propagation and crosses or selfing. Four of the nine primary events used for mutation cloning had more than one mutation type, and eight primary events contained targeted mutations that were maintained across clonal generations. Somatic mutations were most evident in the diploid background with three of the four primary events having more than two mutation types at a single ALS locus. Conversely, in the tetraploid background, four of the five candidates carried only one mutation type. Single targeted mutations were inherited through the germline of both diploid and tetraploid primary events with transmission percentages ranging from 87–100%. This
Butler, Nathaniel M; Atkins, Paul A; Voytas, Daniel F; Douches, David S
2015-01-01
Genome editing using sequence-specific nucleases (SSNs) offers an alternative approach to conventional genetic engineering and an opportunity to extend the benefits of genetic engineering in agriculture. Currently available SSN platforms, such as zinc finger nucleases (ZFNs), transcription activator-like effector nucleases (TALENs), and CRISPR/Cas (clustered regularly interspaced short palindromic repeats (CRISPR)/CRISPR-associated systems (Cas)) have been used in a range of plant species for targeted mutagenesis via non-homologous end joining (NHEJ) are just beginning to be explored in crops such as potato (Solanum tuberosum Group Tuberosum L.). In this study, CRISPR/Cas reagents expressing one of two single-guide RNA (sgRNA) targeting the potato ACETOLACTATE SYNTHASE1 (StALS1) gene were tested for inducing targeted mutations in callus and stable events of diploid and tetraploid potato using Agrobacterium-mediated transformation with either a conventional T-DNA or a modified geminivirus T-DNA. The percentage of primary events with targeted mutations ranged from 3-60% per transformation and from 0-29% above an expected threshold based on the number of ALS alleles. Primary events with targeted mutation frequencies above the expected threshold were used for mutation cloning and inheritance studies using clonal propagation and crosses or selfing. Four of the nine primary events used for mutation cloning had more than one mutation type, and eight primary events contained targeted mutations that were maintained across clonal generations. Somatic mutations were most evident in the diploid background with three of the four primary events having more than two mutation types at a single ALS locus. Conversely, in the tetraploid background, four of the five candidates carried only one mutation type. Single targeted mutations were inherited through the germline of both diploid and tetraploid primary events with transmission percentages ranging from 87-100%. This demonstration
Butler, Nathaniel M; Atkins, Paul A; Voytas, Daniel F; Douches, David S
2015-01-01
Genome editing using sequence-specific nucleases (SSNs) offers an alternative approach to conventional genetic engineering and an opportunity to extend the benefits of genetic engineering in agriculture. Currently available SSN platforms, such as zinc finger nucleases (ZFNs), transcription activator-like effector nucleases (TALENs), and CRISPR/Cas (clustered regularly interspaced short palindromic repeats (CRISPR)/CRISPR-associated systems (Cas)) have been used in a range of plant species for targeted mutagenesis via non-homologous end joining (NHEJ) are just beginning to be explored in crops such as potato (Solanum tuberosum Group Tuberosum L.). In this study, CRISPR/Cas reagents expressing one of two single-guide RNA (sgRNA) targeting the potato ACETOLACTATE SYNTHASE1 (StALS1) gene were tested for inducing targeted mutations in callus and stable events of diploid and tetraploid potato using Agrobacterium-mediated transformation with either a conventional T-DNA or a modified geminivirus T-DNA. The percentage of primary events with targeted mutations ranged from 3-60% per transformation and from 0-29% above an expected threshold based on the number of ALS alleles. Primary events with targeted mutation frequencies above the expected threshold were used for mutation cloning and inheritance studies using clonal propagation and crosses or selfing. Four of the nine primary events used for mutation cloning had more than one mutation type, and eight primary events contained targeted mutations that were maintained across clonal generations. Somatic mutations were most evident in the diploid background with three of the four primary events having more than two mutation types at a single ALS locus. Conversely, in the tetraploid background, four of the five candidates carried only one mutation type. Single targeted mutations were inherited through the germline of both diploid and tetraploid primary events with transmission percentages ranging from 87-100%. This demonstration
δ Sct-type pulsations in eclipsing binary systems: RZ Cas
NASA Astrophysics Data System (ADS)
Rodríguez, E.; García, J. M.; Mkrtichian, D. E.; Costa, V.; Kim, S.-L.; López-González, M. J.; Hintz, E.; Kusakin, A. V.; Gamarova, A. Y.; Lee, J. W.; Youn, J.-H.; Janiashvili, E. B.; Garrido, R.; Moya, A.; Kang, Y. W.
2004-02-01
We present the results of a three-continent multisite photometric campaign carried out on the Algol-type eclipsing binary system RZ Cas, in which the primary component has recently been discovered to be a δ Sct-type pulsator. The present observations include, for the first time, complete simultaneous Strömgren uvby light curves together with a few Crawford Hβ data collected around the orbital phase of the first quadrature. The new observations confirm the pulsational behaviour of the primary component. A detailed photometric analysis, based on these observations, is presented for both binarity and pulsation. The results indicate a semidetached system where the secondary fills its Roche lobe. The appearance of the light curves reveals the presence of the mass stream from the secondary component and a hotspot where this stream impacts on the surface of the primary star. There are also some indications of chromospheric activity in the secondary. On the other hand, the pulsational behaviour out-of-primary eclipse can be well described with only one frequency at 64.1935 cd-1 similar to the main peak found by Ohshima et al. The existence of multiperiodicity is not confirmed in our data. Concerning the mode identification, our results indicate non-radial pulsation in a high radial order (n= 6), with l= 2, |m|= 1, 2 as the most suitable. However, additional effects must be taken into account in the predictions. Moreover, the pulsation amplitude in the u band is larger than in b and v, which is unusual among the δ Sct-type variables. This can be explained as due to pulsation in a high n value and close to the blue edge of the δ Sct region. On the other hand, the early data of Ohshima et al. have also been analysed and similar results are found concerning the frequency content and pulsational amplitude. Finally, a revision of all the photometric out-of-primary-eclipse data sets available in the literature is made together with some additional unpublished data leading to
Linear-algebraic bath transformation for simulating complex open quantum systems
NASA Astrophysics Data System (ADS)
Huh, Joonsuk; Mostame, Sarah; Fujita, Takatoshi; Yung, Man-Hong; Aspuru-Guzik, Alán
2014-12-01
In studying open quantum systems, the environment is often approximated as a collection of non-interacting harmonic oscillators, a configuration also known as the star-bath model. It is also well known that the star-bath can be transformed into a nearest-neighbor interacting chain of oscillators. The chain-bath model has been widely used in renormalization group approaches. The transformation can be obtained by recursion relations or orthogonal polynomials. Based on a simple linear algebraic approach, we propose a bath partition strategy to reduce the system-bath coupling strength. As a result, the non-interacting star-bath is transformed into a set of weakly coupled multiple parallel chains. The transformed bath model allows complex problems to be practically implemented on quantum simulators, and it can also be employed in various numerical simulations of open quantum dynamics.
Dual gRNAs guided CRISPR/Cas9 system inhibits hepatitis B virus replication
Wang, Jie; Xu, Zhong-Wei; Liu, Shuang; Zhang, Rui-Yang; Ding, Shan-Long; Xie, Xiao-Meng; Long, Lu; Chen, Xiang-Mei; Zhuang, Hui; Lu, Feng-Min
2015-01-01
AIM: To screen and investigate the effective gRNAs against hepatitis B virus (HBV) of genotypes A-D. METHODS: A total of 15 gRNAs against HBV of genotypes A-D were designed. Eleven combinations of two above gRNAs (dual-gRNAs) covering the regulatory region of HBV were chosen. The efficiency of each gRNA and 11 dual-gRNAs on the suppression of HBV (genotypes A-D) replication was examined by the measurement of HBV surface antigen (HBsAg) or e antigen (HBeAg) in the culture supernatant. The destruction of HBV-expressing vector was examined in HuH7 cells co-transfected with dual-gRNAs and HBV-expressing vector using polymerase chain reaction (PCR) and sequencing method, and the destruction of cccDNA was examined in HepAD38 cells using KCl precipitation, plasmid-safe ATP-dependent DNase (PSAD) digestion, rolling circle amplification and quantitative PCR combined method. The cytotoxicity of these gRNAs was assessed by a mitochondrial tetrazolium assay. RESULTS: All of gRNAs could significantly reduce HBsAg or HBeAg production in the culture supernatant, which was dependent on the region in which gRNA against. All of dual gRNAs could efficiently suppress HBsAg and/or HBeAg production for HBV of genotypes A-D, and the efficacy of dual gRNAs in suppressing HBsAg and/or HBeAg production was significantly increased when compared to the single gRNA used alone. Furthermore, by PCR direct sequencing we confirmed that these dual gRNAs could specifically destroy HBV expressing template by removing the fragment between the cleavage sites of the two used gRNAs. Most importantly, gRNA-5 and gRNA-12 combination not only could efficiently suppressing HBsAg and/or HBeAg production, but also destroy the cccDNA reservoirs in HepAD38 cells. CONCLUSION: These results suggested that CRISPR/Cas9 system could efficiently destroy HBV expressing templates (genotypes A-D) without apparent cytotoxicity. It may be a potential approach for eradication of persistent HBV cccDNA in chronic HBV
Liu, Xing; Hao, Ruidong; Chen, Shuliang; Guo, Deyin; Chen, Yu
2015-08-01
Hepatitis B virus (HBV) remains a global health threat as chronic HBV infection may lead to liver cirrhosis or cancer. Current antiviral therapies with nucleoside analogues can inhibit the replication of HBV, but do not disrupt the already existing HBV covalently closed circular DNA. The newly developed CRISPR (clustered regularly interspaced short palindromic repeats)/Cas9 (CRISPR-associated 9) system is a powerful tool to target cellular genome DNA for gene editing. In order to investigate the possibility of using the CRISPR/Cas9 system to disrupt the HBV DNA templates, we designed eight guide RNAs (gRNAs) that targeted the conserved regions of different HBV genotypes, which could significantly inhibit HBV replication both in vitro and in vivo. Moreover, the HBV-specific gRNA/Cas9 system could inhibit the replication of HBV of different genotypes in cells, and the viral DNA was significantly reduced by a single gRNA/Cas9 system and cleared by a combination of different gRNA/Cas9 systems.
Bipartite recognition of target RNAs activates DNA cleavage by the Type III-B CRISPR–Cas system
Elmore, Joshua R.; Sheppard, Nolan F.; Ramia, Nancy; Deighan, Trace; Li, Hong; Terns, Rebecca M.; Terns, Michael P.
2016-01-01
CRISPR–Cas systems eliminate nucleic acid invaders in bacteria and archaea. The effector complex of the Type III-B Cmr system cleaves invader RNAs recognized by the CRISPR RNA (crRNA ) of the complex. Here we show that invader RNAs also activate the Cmr complex to cleave DNA. As has been observed for other Type III systems, Cmr eliminates plasmid invaders in Pyrococcus furiosus by a mechanism that depends on transcription of the crRNA target sequence within the plasmid. Notably, we found that the target RNA per se induces DNA cleavage by the Cmr complex in vitro. DNA cleavage activity does not depend on cleavage of the target RNA but notably does require the presence of a short sequence adjacent to the target sequence within the activating target RNA (rPAM [RNA protospacer-adjacent motif]). The activated complex does not require a target sequence (or a PAM) in the DNA substrate. Plasmid elimination by the P. furiosus Cmr system also does not require the Csx1 (CRISPR-associated Rossman fold [CARF] superfamily) protein. Plasmid silencing depends on the HD nuclease and Palm domains of the Cmr2 (Cas10 superfamily) protein. The results establish the Cmr complex as a novel DNA nuclease activated by invader RNAs containing a crRNA target sequence and a rPAM. PMID:26848045
Expanding CRISPR/Cas9 Genome Editing Capacity in Zebrafish Using SaCas9
Feng, Yan; Chen, Cheng; Han, Yuxiang; Chen, Zelin; Lu, Xiaochan; Liang, Fang; Li, Song; Qin, Wei; Lin, Shuo
2016-01-01
The type II CRISPR/Cas9 system has been used widely for genome editing in zebrafish. However, the requirement for the 5′-NGG-3′ protospacer-adjacent motif (PAM) of Cas9 from Streptococcus pyogenes (SpCas9) limits its targeting sequences. Here, we report that a Cas9 ortholog from Staphylococcus aureus (SaCas9), and its KKH variant, successfully induced targeted mutagenesis with high frequency in zebrafish. Confirming previous findings, the SpCas9 variant, VQR, can also induce targeted mutations in zebrafish. Bioinformatics analysis of these new Cas targets suggests that the number of available target sites in the zebrafish genome can be greatly expanded. Collectively, the expanded target repertoire of Cas9 in zebrafish should further facilitate the utility of this organism for genetic studies of vertebrate biology. PMID:27317783
NASA Astrophysics Data System (ADS)
Han, Pu; Niestemski, Liang Ren; Barrick, Jeffrey E.; Deem, Michael W.
2013-04-01
Bacteria and archaea have evolved an adaptive, heritable immune system that recognizes and protects against viruses or plasmids. This system, known as the CRISPR-Cas system, allows the host to recognize and incorporate short foreign DNA or RNA sequences, called ‘spacers’ into its CRISPR system. Spacers in the CRISPR system provide a record of the history of bacteria and phage coevolution. We use a physical model to study the dynamics of this coevolution as it evolves stochastically over time. We focus on the impact of mutation and recombination on bacteria and phage evolution and evasion. We discuss the effect of different spacer deletion mechanisms on the coevolutionary dynamics. We make predictions about bacteria and phage population growth, spacer diversity within the CRISPR locus, and spacer protection against the phage population.
Han, Pu; Niestemski, Liang Ren; Barrick, Jeffrey E.; Deem, Michael W.
2013-01-01
Bacteria and archaea have evolved an adaptive, heritable immune system that recognizes and protects against viruses or plasmids. This system, known as the CRISPR-Cas system, allows the host to recognize and incorporate short foreign DNA or RNA sequences, called ‘spacers’ into its CRISPR system. Spacers in the CRISPR system provide a record of the history of bacteria and phage coevolution. We use a physical model to study the dynamics of this coevolution as it evolves stochastically over time. We focus on the impact of mutation and recombination on bacteria and phage evolution and evasion. We discuss the effect of different spacer deletion mechanisms on the coevolutionary dynamics. We make predictions about bacteria and phage population growth, spacer diversity within the CRISPR locus, and spacer protection against the phage population. PMID:23492852
Aprepro - Algebraic Preprocessor
2005-08-01
Aprepro is an algebraic preprocessor that reads a file containing both general text and algebraic, string, or conditional expressions. It interprets the expressions and outputs them to the output file along witht the general text. Aprepro contains several mathematical functions, string functions, and flow control constructs. In addition, functions are included that, with some additional files, implement a units conversion system and a material database lookup system.
Fock space, symbolic algebra, and analytical solutions for small stochastic systems.
Santos, Fernando A N; Gadêlha, Hermes; Gaffney, Eamonn A
2015-12-01
Randomness is ubiquitous in nature. From single-molecule biochemical reactions to macroscale biological systems, stochasticity permeates individual interactions and often regulates emergent properties of the system. While such systems are regularly studied from a modeling viewpoint using stochastic simulation algorithms, numerous potential analytical tools can be inherited from statistical and quantum physics, replacing randomness due to quantum fluctuations with low-copy-number stochasticity. Nevertheless, classical studies remained limited to the abstract level, demonstrating a more general applicability and equivalence between systems in physics and biology rather than exploiting the physics tools to study biological systems. Here the Fock space representation, used in quantum mechanics, is combined with the symbolic algebra of creation and annihilation operators to consider explicit solutions for the chemical master equations describing small, well-mixed, biochemical, or biological systems. This is illustrated with an exact solution for a Michaelis-Menten single enzyme interacting with limited substrate, including a consideration of very short time scales, which emphasizes when stiffness is present even for small copy numbers. Furthermore, we present a general matrix representation for Michaelis-Menten kinetics with an arbitrary number of enzymes and substrates that, following diagonalization, leads to the solution of this ubiquitous, nonlinear enzyme kinetics problem. For this, a flexible symbolic maple code is provided, demonstrating the prospective advantages of this framework compared to stochastic simulation algorithms. This further highlights the possibilities for analytically based studies of stochastic systems in biology and chemistry using tools from theoretical quantum physics.
Fock space, symbolic algebra, and analytical solutions for small stochastic systems
NASA Astrophysics Data System (ADS)
Santos, Fernando A. N.; Gadêlha, Hermes; Gaffney, Eamonn A.
2015-12-01
Randomness is ubiquitous in nature. From single-molecule biochemical reactions to macroscale biological systems, stochasticity permeates individual interactions and often regulates emergent properties of the system. While such systems are regularly studied from a modeling viewpoint using stochastic simulation algorithms, numerous potential analytical tools can be inherited from statistical and quantum physics, replacing randomness due to quantum fluctuations with low-copy-number stochasticity. Nevertheless, classical studies remained limited to the abstract level, demonstrating a more general applicability and equivalence between systems in physics and biology rather than exploiting the physics tools to study biological systems. Here the Fock space representation, used in quantum mechanics, is combined with the symbolic algebra of creation and annihilation operators to consider explicit solutions for the chemical master equations describing small, well-mixed, biochemical, or biological systems. This is illustrated with an exact solution for a Michaelis-Menten single enzyme interacting with limited substrate, including a consideration of very short time scales, which emphasizes when stiffness is present even for small copy numbers. Furthermore, we present a general matrix representation for Michaelis-Menten kinetics with an arbitrary number of enzymes and substrates that, following diagonalization, leads to the solution of this ubiquitous, nonlinear enzyme kinetics problem. For this, a flexible symbolic maple code is provided, demonstrating the prospective advantages of this framework compared to stochastic simulation algorithms. This further highlights the possibilities for analytically based studies of stochastic systems in biology and chemistry using tools from theoretical quantum physics.
Fock space, symbolic algebra, and analytical solutions for small stochastic systems.
Santos, Fernando A N; Gadêlha, Hermes; Gaffney, Eamonn A
2015-12-01
Randomness is ubiquitous in nature. From single-molecule biochemical reactions to macroscale biological systems, stochasticity permeates individual interactions and often regulates emergent properties of the system. While such systems are regularly studied from a modeling viewpoint using stochastic simulation algorithms, numerous potential analytical tools can be inherited from statistical and quantum physics, replacing randomness due to quantum fluctuations with low-copy-number stochasticity. Nevertheless, classical studies remained limited to the abstract level, demonstrating a more general applicability and equivalence between systems in physics and biology rather than exploiting the physics tools to study biological systems. Here the Fock space representation, used in quantum mechanics, is combined with the symbolic algebra of creation and annihilation operators to consider explicit solutions for the chemical master equations describing small, well-mixed, biochemical, or biological systems. This is illustrated with an exact solution for a Michaelis-Menten single enzyme interacting with limited substrate, including a consideration of very short time scales, which emphasizes when stiffness is present even for small copy numbers. Furthermore, we present a general matrix representation for Michaelis-Menten kinetics with an arbitrary number of enzymes and substrates that, following diagonalization, leads to the solution of this ubiquitous, nonlinear enzyme kinetics problem. For this, a flexible symbolic maple code is provided, demonstrating the prospective advantages of this framework compared to stochastic simulation algorithms. This further highlights the possibilities for analytically based studies of stochastic systems in biology and chemistry using tools from theoretical quantum physics. PMID:26764734
Ren, Xingjie; Yang, Zhihao; Xu, Jiang; Sun, Jin; Mao, Decai; Hu, Yanhui; Yang, Su-Juan; Qiao, Huan-Huan; Wang, Xia; Hu, Qun; Deng, Patricia; Liu, Lu-Ping; Ji, Jun-Yuan; Li, Jin Billy; Ni, Jian-Quan
2014-11-01
The CRISPR/Cas9 system has recently emerged as a powerful tool for functional genomic studies in Drosophila melanogaster. However, single-guide RNA (sgRNA) parameters affecting the specificity and efficiency of the system in flies are still not clear. Here, we found that off-target effects did not occur in regions of genomic DNA with three or more nucleotide mismatches to sgRNAs. Importantly, we document for a strong positive correlation between mutagenesis efficiency and sgRNA GC content of the six protospacer-adjacent motif-proximal nucleotides (PAMPNs). Furthermore, by injecting well-designed sgRNA plasmids at the optimal concentration we determined, we could efficiently generate mutations in four genes in one step. Finally, we generated null alleles of HP1a using optimized parameters through homology-directed repair and achieved an overall mutagenesis rate significantly higher than previously reported. Our work demonstrates a comprehensive optimization of sgRNA and promises to vastly simplify CRISPR/Cas9 experiments in Drosophila. PMID:25437567
Algebraic integrability: a survey.
Vanhaecke, Pol
2008-03-28
We give a concise introduction to the notion of algebraic integrability. Our exposition is based on examples and phenomena, rather than on detailed proofs of abstract theorems. We mainly focus on algebraic integrability in the sense of Adler-van Moerbeke, where the fibres of the momentum map are affine parts of Abelian varieties; as it turns out, most examples from classical mechanics are of this form. Two criteria are given for such systems (Kowalevski-Painlevé and Lyapunov) and each is illustrated in one example. We show in the case of a relatively simple example how one proves algebraic integrability, starting from the differential equations for the integrable vector field. For Hamiltonian systems that are algebraically integrable in the generalized sense, two examples are given, which illustrate the non-compact analogues of Abelian varieties which typically appear in such systems. PMID:17588863
Jinqing, Wu; Gui, Mei; Zhiguo, Liu; Yaosheng, Chen; Peiqing, Cong; Zuyong, He
2015-01-01
IGF2 (Insulin-like growth factor 2) is a major growth factor affecting porcine fetal and postnatal development. We propose that the precise modification of IGF2 gene of Chinese indigenous pig breed--Lantang pig by genome editing technology could reduce its backfat thickness, and increase its lean meat content. Here, we tested the genome editing activities of zinc finger nucleases (ZFNs) and CRISPR/Cas9 system on IGF2 gene in the Lantang porcine fetal fibroblasts (PEF). The results indicated that CRISPR/Cas9 presented cutting efficiency up to 9.2%, which was significantly higher than that generated by ZFNs with DNA cutting efficiency lower than 1%. However, even by using CRISPR/Cas9, the relatively lower percentage of genetically modified cells in the transfected population was not satisfied for somatic nuclear transfer (SCNT). Therefore, we used a SSA (Single-strand annealing) reporter system to enrich genetically modified cells induced by ZFN or CRISPR/Cas9. T7 endonuclease I assay revealed that this strategy improved genome editing activity of CRISPR/Cas9 by 5 folds, and was even more effective for improving genome editing efficiency of ZFN.
ERIC Educational Resources Information Center
Schaufele, Christopher; Zumoff, Nancy
Earth Algebra is an entry level college algebra course that incorporates the spirit of the National Council of Teachers of Mathematics (NCTM) Curriculum and Evaluation Standards for School Mathematics at the college level. The context of the course places mathematics at the center of one of the major current concerns of the world. Through…
Acceleration of multiple solution of a boundary value problem involving a linear algebraic system
NASA Astrophysics Data System (ADS)
Gazizov, Talgat R.; Kuksenko, Sergey P.; Surovtsev, Roman S.
2016-06-01
Multiple solution of a boundary value problem that involves a linear algebraic system is considered. New approach to acceleration of the solution is proposed. The approach uses the structure of the linear system matrix. Particularly, location of entries in the right columns and low rows of the matrix, which undergo variation due to the computing in the range of parameters, is used to apply block LU decomposition. Application of the approach is considered on the example of multiple computing of the capacitance matrix by method of moments used in numerical electromagnetics. Expressions for analytic estimation of the acceleration are presented. Results of the numerical experiments for solution of 100 linear systems with matrix orders of 1000, 2000, 3000 and different relations of variated and constant entries of the matrix show that block LU decomposition can be effective for multiple solution of linear systems. The speed up compared to pointwise LU factorization increases (up to 15) for larger number and order of considered systems with lower number of variated entries.
Generation and evaluation of Myostatin knock-out rabbits and goats using CRISPR/Cas9 system.
Guo, Rihong; Wan, Yongjie; Xu, Dan; Cui, Libin; Deng, Mingtian; Zhang, Guomin; Jia, Ruoxin; Zhou, Wenjun; Wang, Zhen; Deng, Kaiping; Huang, Mingrui; Wang, Feng; Zhang, Yanli
2016-07-15
Myostatin (Mstn) is a conserved negative regulator of skeletal muscle mass in mammals. However, whether precise disruption of Mstn in livestock can be achieved and safely used to improve meat productivity has not been proven. We applied CRISPR/Cas9 system to generate Mstn knock-out (KO) rabbits and goats and then analyzed the changes in their phenotypes to answer this question. We efficiently generated 24 Mstn KO rabbits out of 32 newborn infants after embryo injection with two sgRNAs targeting rabbit Mstn, and found that the Mstn KO rabbits exhibited increased birthweight and a significantly increase in the weight ratios of the quadriceps and biceps muscles to the whole body. Mstn KO also caused high probability of enlarged tongue phenomenon and severe health problems such as stillbirth and early stage death. Using the same method, one out of four goats was generated with edition at Mstn locus. The early stage growth rate of this goat outperformed the control goats. In conclusion, we efficiently generated Mstn KO rabbits and goats using CRISPR/Cas9 technology. However, Mstn KO causes severe health problems and may also have the same effects on other species. This safety issue must be studied further before applied to animal reproduction processes.
Generation and evaluation of Myostatin knock-out rabbits and goats using CRISPR/Cas9 system
Guo, Rihong; Wan, Yongjie; Xu, Dan; Cui, Libin; Deng, Mingtian; Zhang, Guomin; Jia, Ruoxin; Zhou, Wenjun; Wang, Zhen; Deng, Kaiping; Huang, Mingrui; Wang, Feng; Zhang, Yanli
2016-01-01
Myostatin (Mstn) is a conserved negative regulator of skeletal muscle mass in mammals. However, whether precise disruption of Mstn in livestock can be achieved and safely used to improve meat productivity has not been proven. We applied CRISPR/Cas9 system to generate Mstn knock-out (KO) rabbits and goats and then analyzed the changes in their phenotypes to answer this question. We efficiently generated 24 Mstn KO rabbits out of 32 newborn infants after embryo injection with two sgRNAs targeting rabbit Mstn, and found that the Mstn KO rabbits exhibited increased birthweight and a significantly increase in the weight ratios of the quadriceps and biceps muscles to the whole body. Mstn KO also caused high probability of enlarged tongue phenomenon and severe health problems such as stillbirth and early stage death. Using the same method, one out of four goats was generated with edition at Mstn locus. The early stage growth rate of this goat outperformed the control goats. In conclusion, we efficiently generated Mstn KO rabbits and goats using CRISPR/Cas9 technology. However, Mstn KO causes severe health problems and may also have the same effects on other species. This safety issue must be studied further before applied to animal reproduction processes. PMID:27417210
Generation and evaluation of Myostatin knock-out rabbits and goats using CRISPR/Cas9 system.
Guo, Rihong; Wan, Yongjie; Xu, Dan; Cui, Libin; Deng, Mingtian; Zhang, Guomin; Jia, Ruoxin; Zhou, Wenjun; Wang, Zhen; Deng, Kaiping; Huang, Mingrui; Wang, Feng; Zhang, Yanli
2016-01-01
Myostatin (Mstn) is a conserved negative regulator of skeletal muscle mass in mammals. However, whether precise disruption of Mstn in livestock can be achieved and safely used to improve meat productivity has not been proven. We applied CRISPR/Cas9 system to generate Mstn knock-out (KO) rabbits and goats and then analyzed the changes in their phenotypes to answer this question. We efficiently generated 24 Mstn KO rabbits out of 32 newborn infants after embryo injection with two sgRNAs targeting rabbit Mstn, and found that the Mstn KO rabbits exhibited increased birthweight and a significantly increase in the weight ratios of the quadriceps and biceps muscles to the whole body. Mstn KO also caused high probability of enlarged tongue phenomenon and severe health problems such as stillbirth and early stage death. Using the same method, one out of four goats was generated with edition at Mstn locus. The early stage growth rate of this goat outperformed the control goats. In conclusion, we efficiently generated Mstn KO rabbits and goats using CRISPR/Cas9 technology. However, Mstn KO causes severe health problems and may also have the same effects on other species. This safety issue must be studied further before applied to animal reproduction processes. PMID:27417210
NASA Astrophysics Data System (ADS)
Lisitsyn, Ya. V.; Shapovalov, A. V.
1998-05-01
A study is made of the possibility of reducing quantum analogs of Hamiltonian systems to Lie algebras. The procedure of reducing classical systems to orbits in a coadjoint representation based on Lie algebra is well-known. An analog of this procedure for quantum systems described by linear differential equations (LDEs) in partial derivatives is proposed here on the basis of the method of noncommutative integration of LDEs. As an example illustrating the procedure, an examination is made of nontrivial systems that cannot be integrated by separation of variables: the Gryachev-Chaplygin hydrostat and the Kovalevskii gyroscope. In both cases, the problem is reduced to a system with a smaller number of variables.
48 CFR 970.3002 - CAS program requirements.
Code of Federal Regulations, 2012 CFR
2012-10-01
... 48 Federal Acquisition Regulations System 5 2012-10-01 2012-10-01 false CAS program requirements. 970.3002 Section 970.3002 Federal Acquisition Regulations System DEPARTMENT OF ENERGY AGENCY....3002 CAS program requirements....
48 CFR 970.3002 - CAS program requirements.
Code of Federal Regulations, 2013 CFR
2013-10-01
... 48 Federal Acquisition Regulations System 5 2013-10-01 2013-10-01 false CAS program requirements. 970.3002 Section 970.3002 Federal Acquisition Regulations System DEPARTMENT OF ENERGY AGENCY....3002 CAS program requirements....
48 CFR 970.3002 - CAS program requirements.
Code of Federal Regulations, 2014 CFR
2014-10-01
... 48 Federal Acquisition Regulations System 5 2014-10-01 2014-10-01 false CAS program requirements. 970.3002 Section 970.3002 Federal Acquisition Regulations System DEPARTMENT OF ENERGY AGENCY....3002 CAS program requirements....
Young, Samantha A M; Aitken, R John; Ikawa, Masahito
2015-01-01
Gene disruption technology has long been beneficial for the study of male reproductive biology. However, because of the time and cost involved, this technology was not a viable method except in specialist laboratories. The advent of the CRISPR/Cas9 system of gene disruption has ushered in a new era of genetic investigation. Now, it is possible to generate gene-disrupted mouse models in very little time and at very little cost. This Highlight article discusses the application of this technology to study the genetics of male fertility and looks at some of the future uses of this system that could be used to reveal the essential and nonessential genetic components of male reproductive mechanisms.
Young, Samantha AM; Aitken, R John; Ikawa, Masahito
2015-01-01
Gene disruption technology has long been beneficial for the study of male reproductive biology. However, because of the time and cost involved, this technology was not a viable method except in specialist laboratories. The advent of the CRISPR/Cas9 system of gene disruption has ushered in a new era of genetic investigation. Now, it is possible to generate gene-disrupted mouse models in very little time and at very little cost. This Highlight article discusses the application of this technology to study the genetics of male fertility and looks at some of the future uses of this system that could be used to reveal the essential and nonessential genetic components of male reproductive mechanisms. PMID:25994645
Matrix Algebra for GPU and Multicore Architectures (MAGMA) for Large Petascale Systems
Dongarra, Jack J.; Tomov, Stanimire
2014-03-24
The goal of the MAGMA project is to create a new generation of linear algebra libraries that achieve the fastest possible time to an accurate solution on hybrid Multicore+GPU-based systems, using all the processing power that future high-end systems can make available within given energy constraints. Our efforts at the University of Tennessee achieved the goals set in all of the five areas identified in the proposal: 1. Communication optimal algorithms; 2. Autotuning for GPU and hybrid processors; 3. Scheduling and memory management techniques for heterogeneity and scale; 4. Fault tolerance and robustness for large scale systems; 5. Building energy efficiency into software foundations. The University of Tennessee’s main contributions, as proposed, were the research and software development of new algorithms for hybrid multi/many-core CPUs and GPUs, as related to two-sided factorizations and complete eigenproblem solvers, hybrid BLAS, and energy efficiency for dense, as well as sparse, operations. Furthermore, as proposed, we investigated and experimented with various techniques targeting the five main areas outlined.
de Solis, Christopher A; Ho, Anthony; Holehonnur, Roopashri; Ploski, Jonathan E
2016-01-01
The RNA-guided Cas9 nuclease, from the type II prokaryotic Clustered Regularly Interspersed Short Palindromic Repeats (CRISPR) adaptive immune system, has been adapted and utilized by scientists to edit the genomes of eukaryotic cells. Here, we report the development of a viral mediated CRISPR/Cas9 system that can be rendered inducible utilizing doxycycline (Dox) and can be delivered to cells in vitro and in vivo utilizing adeno-associated virus (AAV). Specifically, we developed an inducible gRNA (gRNAi) AAV vector that is designed to express the gRNA from a H1/TO promoter. This AAV vector is also designed to express the Tet repressor (TetR) to regulate the expression of the gRNAi in a Dox dependent manner. We show that H1/TO promoters of varying length and a U6/TO promoter can edit DNA with similar efficiency in vitro, in a Dox dependent manner. We also demonstrate that our inducible gRNAi vector can be used to edit the genomes of neurons in vivo within the mouse brain in a Dox dependent manner. Genome editing can be induced in vivo with this system by supplying animals Dox containing food for as little as 1 day. This system might be cross compatible with many existing S. pyogenes Cas9 systems (i.e., Cas9 mouse, CRISPRi, etc.), and therefore it likely can be used to render these systems inducible as well. PMID:27587996
de Solis, Christopher A.; Ho, Anthony; Holehonnur, Roopashri; Ploski, Jonathan E.
2016-01-01
The RNA-guided Cas9 nuclease, from the type II prokaryotic Clustered Regularly Interspersed Short Palindromic Repeats (CRISPR) adaptive immune system, has been adapted and utilized by scientists to edit the genomes of eukaryotic cells. Here, we report the development of a viral mediated CRISPR/Cas9 system that can be rendered inducible utilizing doxycycline (Dox) and can be delivered to cells in vitro and in vivo utilizing adeno-associated virus (AAV). Specifically, we developed an inducible gRNA (gRNAi) AAV vector that is designed to express the gRNA from a H1/TO promoter. This AAV vector is also designed to express the Tet repressor (TetR) to regulate the expression of the gRNAi in a Dox dependent manner. We show that H1/TO promoters of varying length and a U6/TO promoter can edit DNA with similar efficiency in vitro, in a Dox dependent manner. We also demonstrate that our inducible gRNAi vector can be used to edit the genomes of neurons in vivo within the mouse brain in a Dox dependent manner. Genome editing can be induced in vivo with this system by supplying animals Dox containing food for as little as 1 day. This system might be cross compatible with many existing S. pyogenes Cas9 systems (i.e., Cas9 mouse, CRISPRi, etc.), and therefore it likely can be used to render these systems inducible as well. PMID:27587996
Genome modification by CRISPR/Cas9.
Ma, Yuanwu; Zhang, Lianfeng; Huang, Xingxu
2014-12-01
Clustered regularly interspaced short palindromic repeats (CRISPR)-CRISPR-associated protein (Cas)9-mediated genome modification enables us to edit the genomes of a variety of organisms rapidly and efficiently. The advantages of the CRISPR-Cas9 system have made it an increasingly popular genetic engineering tool for biological and therapeutic applications. Moreover, CRISPR-Cas9 has been employed to recruit functional domains that repress/activate gene expression or label specific genomic loci in living cells or organisms, in order to explore developmental mechanisms, gene expression regulation, and animal behavior. One major concern about this system is its specificity; although CRISPR-Cas9-mediated off-target mutation has been broadly studied, more efforts are required to further improve the specificity of CRISPR-Cas9. We will also discuss the potential applications of CRISPR-Cas9.
Generation of Genetically Modified Mice Using the CRISPR-Cas9 Genome-Editing System.
Henao-Mejia, Jorge; Williams, Adam; Rongvaux, Anthony; Stein, Judith; Hughes, Cynthia; Flavell, Richard A
2016-02-01
Genetically modified mice are extremely valuable tools for studying gene function and human diseases. Although the generation of mice with specific genetic modifications through traditional methods using homologous recombination in embryonic stem cells has been invaluable in the last two decades, it is an extremely costly, time-consuming, and, in some cases, uncertain technology. The recently described CRISPR-Cas9 genome-editing technology significantly reduces the time and the cost that are required to generate genetically engineered mice, allowing scientists to test more precise and bold hypotheses in vivo. Using this revolutionary methodology we have generated more than 100 novel genetically engineered mouse strains. In the current protocol, we describe in detail the optimal conditions to generate mice carrying point mutations, chromosomal deletions, conditional alleles, fusion tags, or endogenous reporters. PMID:26832688
Phase shift of interacting algebraic solitary waves in a two-layer fluid system
Matsuno, Y. )
1994-09-05
The interaction of interfacial solitary waves of algebraic type is investigated on the basis of a higher-order Benjamin-Ono equation. By developing a multisoliton perturbation theory, we show analytically that the overtaking collision between two solitary waves exhibits the phase shift but the amplitudes are not altered after interaction. The prediction of the phase shift that takes place between algebraic solitary waves is the first example reported in the literature.
NASA Astrophysics Data System (ADS)
Cooper, Cameron I.; Pearson, Paul T.
2012-02-01
In higher education, many high-enrollment introductory courses have evolved into "gatekeeper" courses due to their high failure rates. These courses prevent many students from attaining their educational goals and often become graduation roadblocks. At the authors' home institution, general chemistry has become a gatekeeper course in which approximately 25% of students do not pass. This failure rate in chemistry is common, and often higher, at many other institutions of higher education, and mathematical deficiencies are perceived to be a large contributing factor. This paper details the development of a highly accurate predictive system that identifies students at the beginning of the semester who are "at-risk" for earning a grade of C- or below in chemistry. The predictive accuracy of this system is maximized by using a genetically optimized neural network to analyze the results of a diagnostic algebra test designed for a specific population. Once at-risk students have been identified, they can be helped to improve their chances of success using techniques such as concurrent support courses, online tutorials, "just-in-time" instructional aides, study skills, motivational interviewing, and/or peer mentoring.
ERIC Educational Resources Information Center
Alejandra, Almirón; Fernando, Bifano; Leonardo, Lupinacci
2015-01-01
Solving systems of equations at school, at least in Argentina, is usually a task that students are given as a series of techniques that "allow" them to find a solution. How to overcome educational obstacles that are generated from a fragmented approach of knowledge? What can DGS do, in particular the CAS environment? What epistemic and…
NASA Astrophysics Data System (ADS)
Levin, A. M.; Olshanetsky, M. A.; Zotov, A. V.
2016-08-01
We construct twisted Calogero-Moser systems with spins as Hitchin systems derived from the Higgs bundles over elliptic curves, where the transition operators are defined by arbitrary finite-order automorphisms of the underlying Lie algebras. We thus obtain a spin generalization of the twisted D'Hoker-Phong and Bordner-Corrigan-Sasaki-Takasaki systems. In addition, we construct the corresponding twisted classical dynamical r-matrices and the Knizhnik-Zamolodchikov-Bernard equations related to the automorphisms of Lie algebras.
Non-Hermitian systems of Euclidean Lie algebraic type with real energy spectra
NASA Astrophysics Data System (ADS)
Dey, Sanjib; Fring, Andreas; Mathanaranjan, Thilagarajah
2014-07-01
We study several classes of non-Hermitian Hamiltonian systems, which can be expressed in terms of bilinear combinations of Euclidean-Lie algebraic generators. The classes are distinguished by different versions of antilinear (PT)-symmetries exhibiting various types of qualitative behaviour. On the basis of explicitly computed non-perturbative Dyson maps we construct metric operators, isospectral Hermitian counterparts for which we solve the corresponding time-independent Schrödinger equation for specific choices of the coupling constants. In these cases general analytical expressions for the solutions are obtained in the form of Mathieu functions, which we analyze numerically to obtain the corresponding energy spectra. We identify regions in the parameter space for which the corresponding spectra are entirely real and also domains where the PT symmetry is spontaneously broken and sometimes also regained at exceptional points. In some cases it is shown explicitly how the threshold region from real to complex spectra is characterized by the breakdown of the Dyson maps or the metric operator. We establish the explicit relationship to models currently under investigation in the context of beam dynamics in optical lattices.
NASA Astrophysics Data System (ADS)
Yukhno, L. F.
2007-12-01
The use of modifications of certain well-known methods of the conjugate direction type for solving systems of linear algebraic equations with rectangular matrices is examined. The modified methods are shown to be superior to the original versions with respect to the round-off accumulation; the advantage is especially large for ill-conditioned matrices. Examples are given of the efficient use of the modified methods for solving certain fairly large ill-conditioned problems.
NASA Astrophysics Data System (ADS)
Yukhno, L. F.
2007-11-01
A modification of certain well-known methods of the conjugate direction type is proposed and examined. The modified methods are more stable with respect to the accumulation of round-off errors. Moreover, these methods are applicable for solving ill-conditioned systems of linear algebraic equations that, in particular, arise as approximations of ill-posed problems. Numerical results illustrating the advantages of the proposed modification are presented.
Second-Order Algebraic Theories
NASA Astrophysics Data System (ADS)
Fiore, Marcelo; Mahmoud, Ola
Fiore and Hur [10] recently introduced a conservative extension of universal algebra and equational logic from first to second order. Second-order universal algebra and second-order equational logic respectively provide a model theory and a formal deductive system for languages with variable binding and parameterised metavariables. This work completes the foundations of the subject from the viewpoint of categorical algebra. Specifically, the paper introduces the notion of second-order algebraic theory and develops its basic theory. Two categorical equivalences are established: at the syntactic level, that of second-order equational presentations and second-order algebraic theories; at the semantic level, that of second-order algebras and second-order functorial models. Our development includes a mathematical definition of syntactic translation between second-order equational presentations. This gives the first formalisation of notions such as encodings and transforms in the context of languages with variable binding.
Nickel, Lisa; Weidenbach, Katrin; Jäger, Dominik; Backofen, Rolf; Lange, Sita J.; Heidrich, Nadja; Schmitz, Ruth A.
2013-01-01
The clustered regularly interspaced short palindromic repeats (CRISPR) system represents a highly adaptive and heritable defense system against foreign nucleic acids in bacteria and archaea. We analyzed the two CRISPR-Cas systems in Methanosarcina mazei strain Gö1. Although belonging to different subtypes (I-B and III-B), the leaders and repeats of both loci are nearly identical. Also, despite many point mutations in each array, a common hairpin motif was identified in the repeats by a bioinformatics analysis and in vitro structural probing. The expression and maturation of CRISPR-derived RNAs (crRNAs) were studied in vitro and in vivo. Both respective potential Cas6b-type endonucleases were purified and their activity tested in vitro. Each protein showed significant activity and could cleave both repeats at the same processing site. Cas6b of subtype III-B, however, was significantly more efficient in its cleavage activity compared with Cas6b of subtype I-B. Northern blot and differential RNAseq analyses were performed to investigate in vivo transcription and maturation of crRNAs, revealing generally very low expression of both systems, whereas significant induction at high NaCl concentrations was observed. crRNAs derived proximal to the leader were generally more abundant than distal ones and in vivo processing sites were clarified for both loci, confirming the previously well-established 8 nt 5′ repeat tags. The 3′-ends were more diverse, but generally ended in a prefix of the following repeat sequence (3′-tag). The analysis further revealed a 5′-hydroxy and 3′-phosphate termini architecture of small crRNAs specific for cleavage products of Cas6 endonucleases from type I-E and I-F and type III-B. PMID:23619576
Nickel, Lisa; Weidenbach, Katrin; Jäger, Dominik; Backofen, Rolf; Lange, Sita J; Heidrich, Nadja; Schmitz, Ruth A
2013-05-01
The clustered regularly interspaced short palindromic repeats (CRISPR) system represents a highly adaptive and heritable defense system against foreign nucleic acids in bacteria and archaea. We analyzed the two CRISPR-Cas systems in Methanosarcina mazei strain Gö1. Although belonging to different subtypes (I-B and III-B), the leaders and repeats of both loci are nearly identical. Also, despite many point mutations in each array, a common hairpin motif was identified in the repeats by a bioinformatics analysis and in vitro structural probing. The expression and maturation of CRISPR-derived RNAs (crRNAs) were studied in vitro and in vivo. Both respective potential Cas6b-type endonucleases were purified and their activity tested in vitro. Each protein showed significant activity and could cleave both repeats at the same processing site. Cas6b of subtype III-B, however, was significantly more efficient in its cleavage activity compared with Cas6b of subtype I-B. Northern blot and differential RNAseq analyses were performed to investigate in vivo transcription and maturation of crRNAs, revealing generally very low expression of both systems, whereas significant induction at high NaCl concentrations was observed. crRNAs derived proximal to the leader were generally more abundant than distal ones and in vivo processing sites were clarified for both loci, confirming the previously well-established 8 nt 5' repeat tags. The 3'-ends were more diverse, but generally ended in a prefix of the following repeat sequence (3'-tag). The analysis further revealed a 5'-hydroxy and 3'-phosphate termini architecture of small crRNAs specific for cleavage products of Cas6 endonucleases from type I-E and I-F and type III-B. PMID:23619576
Reprogrammable CRISPR/Cas9-based system for inducing site-specific DNA methylation
McDonald, James I.; Celik, Hamza; Rois, Lisa E.; Fishberger, Gregory; Fowler, Tolison; Rees, Ryan; Kramer, Ashley; Martens, Andrew; Edwards, John R.
2016-01-01
ABSTRACT Advances in sequencing technology allow researchers to map genome-wide changes in DNA methylation in development and disease. However, there is a lack of experimental tools to site-specifically manipulate DNA methylation to discern the functional consequences. We developed a CRISPR/Cas9 DNA methyltransferase 3A (DNMT3A) fusion to induce DNA methylation at specific loci in the genome. We induced DNA methylation at up to 50% of alleles for targeted CpG dinucleotides. DNA methylation levels peaked within 50 bp of the short guide RNA (sgRNA) binding site and between pairs of sgRNAs. We used our approach to target methylation across the entire CpG island at the CDKN2A promoter, three CpG dinucleotides at the ARF promoter, and the CpG island within the Cdkn1a promoter to decrease expression of the target gene. These tools permit mechanistic studies of DNA methylation and its role in guiding molecular processes that determine cellular fate. PMID:27170255
Adaptive Algebraic Multigrid Methods
Brezina, M; Falgout, R; MacLachlan, S; Manteuffel, T; McCormick, S; Ruge, J
2004-04-09
Our ability to simulate physical processes numerically is constrained by our ability to solve the resulting linear systems, prompting substantial research into the development of multiscale iterative methods capable of solving these linear systems with an optimal amount of effort. Overcoming the limitations of geometric multigrid methods to simple geometries and differential equations, algebraic multigrid methods construct the multigrid hierarchy based only on the given matrix. While this allows for efficient black-box solution of the linear systems associated with discretizations of many elliptic differential equations, it also results in a lack of robustness due to assumptions made on the near-null spaces of these matrices. This paper introduces an extension to algebraic multigrid methods that removes the need to make such assumptions by utilizing an adaptive process. The principles which guide the adaptivity are highlighted, as well as their application to algebraic multigrid solution of certain symmetric positive-definite linear systems.
Mao, Yanfei; Zhang, Zhengjing; Feng, Zhengyan; Wei, Pengliang; Zhang, Hui; Botella, José Ramón; Zhu, Jian-Kang
2016-02-01
The Streptococcus-derived CRISPR/Cas9 system is being widely used to perform targeted gene modifications in plants. This customized endonuclease system has two components, the single-guide RNA (sgRNA) for target DNA recognition and the CRISPR-associated protein 9 (Cas9) for DNA cleavage. Ubiquitously expressed CRISPR/Cas9 systems (UC) generate targeted gene modifications with high efficiency but only those produced in reproductive cells are transmitted to the next generation. We report the design and characterization of a germ-line-specific Cas9 system (GSC) for Arabidopsis gene modification in male gametocytes, constructed using a SPOROCYTELESS (SPL) genomic expression cassette. Four loci in two endogenous genes were targeted by both systems for comparative analysis. Mutations generated by the GSC system were rare in T1 plants but were abundant (30%) in the T2 generation. The vast majority (70%) of the T2 mutant population generated using the UC system were chimeras while the newly developed GSC system produced only 29% chimeras, with 70% of the T2 mutants being heterozygous. Analysis of two loci in the T2 population showed that the abundance of heritable gene mutations was 37% higher in the GSC system compared to the UC system and the level of polymorphism of the mutations was also dramatically increased with the GSC system. Two additional systems based on germ-line-specific promoters (pDD45-GT and pLAT52-GT) were also tested, and one of them was capable of generating heritable homozygous T1 mutant plants. Our results suggest that future application of the described GSC system will facilitate the screening for targeted gene modifications, especially lethal mutations in the T2 population.
Recursive boson system in the Cuntz algebra O{sub {infinity}}
Kawamura, Katsunori
2007-09-15
Bosons and fermions are often written by elements of other algebras. Abe (private communication) gave a realization of bosons by formal infinite sums of the canonical generators of the Cuntz algebra O{sub {infinity}}. We show that such formal infinite sum always makes sense on a certain dense subspace of any permutative representation of O{sub {infinity}}. In this meaning, we can regard as if the algebra B of bosons was a unital *-subalgebra of O{sub {infinity}} on a given permutative representation. According to this relation, we compute branching laws arising from restrictions of representations of O{sub {infinity}} on B. For example, it is shown that the Fock representation of B is given as the restriction of the standard representation of O{sub {infinity}} on B.
48 CFR 30.201-1 - CAS applicability.
Code of Federal Regulations, 2012 CFR
2012-10-01
... CONTRACTING REQUIREMENTS COST ACCOUNTING STANDARDS ADMINISTRATION CAS Program Requirements 30.201-1 CAS applicability. See 48 CFR 9903.201-1 (FAR appendix). ... 48 Federal Acquisition Regulations System 1 2012-10-01 2012-10-01 false CAS applicability....
48 CFR 30.201-2 - Types of CAS coverage.
Code of Federal Regulations, 2014 CFR
2014-10-01
... CONTRACTING REQUIREMENTS COST ACCOUNTING STANDARDS ADMINISTRATION CAS Program Requirements 30.201-2 Types of CAS coverage. See 48 CFR 9903.201-2 (FAR appendix). ... 48 Federal Acquisition Regulations System 1 2014-10-01 2014-10-01 false Types of CAS coverage....
48 CFR 30.201-1 - CAS applicability.
Code of Federal Regulations, 2013 CFR
2013-10-01
... CONTRACTING REQUIREMENTS COST ACCOUNTING STANDARDS ADMINISTRATION CAS Program Requirements 30.201-1 CAS applicability. See 48 CFR 9903.201-1 (FAR appendix). ... 48 Federal Acquisition Regulations System 1 2013-10-01 2013-10-01 false CAS applicability....
48 CFR 30.201-2 - Types of CAS coverage.
Code of Federal Regulations, 2012 CFR
2012-10-01
... CONTRACTING REQUIREMENTS COST ACCOUNTING STANDARDS ADMINISTRATION CAS Program Requirements 30.201-2 Types of CAS coverage. See 48 CFR 9903.201-2 (FAR appendix). ... 48 Federal Acquisition Regulations System 1 2012-10-01 2012-10-01 false Types of CAS coverage....
48 CFR 9903.201-1 - CAS applicability.
Code of Federal Regulations, 2012 CFR
2012-10-01
... 48 Federal Acquisition Regulations System 7 2012-10-01 2012-10-01 false CAS applicability. 9903... ACCOUNTING STANDARDS CONTRACT COVERAGE CAS Program Requirements 9903.201-1 CAS applicability. (a) This subsection describes the rules for determining whether a proposed contract or subcontract is exempt from...
48 CFR 30.201-2 - Types of CAS coverage.
Code of Federal Regulations, 2013 CFR
2013-10-01
... CONTRACTING REQUIREMENTS COST ACCOUNTING STANDARDS ADMINISTRATION CAS Program Requirements 30.201-2 Types of CAS coverage. See 48 CFR 9903.201-2 (FAR appendix). ... 48 Federal Acquisition Regulations System 1 2013-10-01 2013-10-01 false Types of CAS coverage....
48 CFR 9903.201-1 - CAS applicability.
Code of Federal Regulations, 2010 CFR
2010-10-01
... 48 Federal Acquisition Regulations System 7 2010-10-01 2010-10-01 false CAS applicability. 9903... ACCOUNTING STANDARDS CONTRACT COVERAGE CAS Program Requirements 9903.201-1 CAS applicability. (a) This subsection describes the rules for determining whether a proposed contract or subcontract is exempt from...
48 CFR 30.201-2 - Types of CAS coverage.
Code of Federal Regulations, 2011 CFR
2011-10-01
... CONTRACTING REQUIREMENTS COST ACCOUNTING STANDARDS ADMINISTRATION CAS Program Requirements 30.201-2 Types of CAS coverage. See 48 CFR 9903.201-2 (FAR appendix). ... 48 Federal Acquisition Regulations System 1 2011-10-01 2011-10-01 false Types of CAS coverage....
48 CFR 30.201-1 - CAS applicability.
Code of Federal Regulations, 2011 CFR
2011-10-01
... CONTRACTING REQUIREMENTS COST ACCOUNTING STANDARDS ADMINISTRATION CAS Program Requirements 30.201-1 CAS applicability. See 48 CFR 9903.201-1 (FAR appendix). ... 48 Federal Acquisition Regulations System 1 2011-10-01 2011-10-01 false CAS applicability....
48 CFR 9903.201-1 - CAS applicability.
Code of Federal Regulations, 2014 CFR
2014-10-01
... 48 Federal Acquisition Regulations System 7 2014-10-01 2014-10-01 false CAS applicability. 9903... ACCOUNTING STANDARDS CONTRACT COVERAGE CAS Program Requirements 9903.201-1 CAS applicability. (a) This subsection describes the rules for determining whether a proposed contract or subcontract is exempt from...
48 CFR 30.201-1 - CAS applicability.
Code of Federal Regulations, 2014 CFR
2014-10-01
... CONTRACTING REQUIREMENTS COST ACCOUNTING STANDARDS ADMINISTRATION CAS Program Requirements 30.201-1 CAS applicability. See 48 CFR 9903.201-1 (FAR appendix). ... 48 Federal Acquisition Regulations System 1 2014-10-01 2014-10-01 false CAS applicability....
48 CFR 9903.201-1 - CAS applicability.
Code of Federal Regulations, 2013 CFR
2013-10-01
... 48 Federal Acquisition Regulations System 7 2013-10-01 2012-10-01 true CAS applicability. 9903.201... ACCOUNTING STANDARDS CONTRACT COVERAGE CAS Program Requirements 9903.201-1 CAS applicability. (a) This subsection describes the rules for determining whether a proposed contract or subcontract is exempt from...
48 CFR 30.201-2 - Types of CAS coverage.
Code of Federal Regulations, 2010 CFR
2010-10-01
... CONTRACTING REQUIREMENTS COST ACCOUNTING STANDARDS ADMINISTRATION CAS Program Requirements 30.201-2 Types of CAS coverage. See 48 CFR 9903.201-2 (FAR appendix). ... 48 Federal Acquisition Regulations System 1 2010-10-01 2010-10-01 false Types of CAS coverage....
48 CFR 30.201-1 - CAS applicability.
Code of Federal Regulations, 2010 CFR
2010-10-01
... CONTRACTING REQUIREMENTS COST ACCOUNTING STANDARDS ADMINISTRATION CAS Program Requirements 30.201-1 CAS applicability. See 48 CFR 9903.201-1 (FAR appendix). ... 48 Federal Acquisition Regulations System 1 2010-10-01 2010-10-01 false CAS applicability....
NASA Astrophysics Data System (ADS)
Ahunov, Roman R.; Kuksenko, Sergey P.; Gazizov, Talgat R.
2016-06-01
A multiple solution of linear algebraic systems with dense matrix by iterative methods is considered. To accelerate the process, the recomputing of the preconditioning matrix is used. A priory condition of the recomputing based on change of the arithmetic mean of the current solution time during the multiple solution is proposed. To confirm the effectiveness of the proposed approach, the numerical experiments using iterative methods BiCGStab and CGS for four different sets of matrices on two examples of microstrip structures are carried out. For solution of 100 linear systems the acceleration up to 1.6 times, compared to the approach without recomputing, is obtained.
Yosef, Ido; Goren, Moran G; Kiro, Ruth; Edgar, Rotem; Qimron, Udi
2011-12-13
Prokaryotic DNA arrays arranged as clustered regularly interspaced short palindromic repeats (CRISPR), along with their associated proteins, provide prokaryotes with adaptive immunity by RNA-mediated targeting of alien DNA or RNA matching the sequences between the repeats. Here, we present a thorough screening system for the identification of bacterial proteins participating in immunity conferred by the Escherichia coli CRISPR system. We describe the identification of one such protein, high-temperature protein G (HtpG), a homolog of the eukaryotic chaperone heat-shock protein 90. We demonstrate that in the absence of htpG, the E. coli CRISPR system loses its suicidal activity against λ prophage and its ability to provide immunity from lysogenization. Transcomplementation of htpG restores CRISPR activity. We further show that inactivity of the CRISPR system attributable to htpG deficiency can be suppressed by expression of Cas3, a protein that is essential for its activity. Accordingly, we also find that the steady-state level of overexpressed Cas3 is significantly enhanced following HtpG expression. We conclude that HtpG is a newly identified positive modulator of the CRISPR system that is essential for maintaining functional levels of Cas3.
Li, Qingyun; Barish, Scott; Okuwa, Sumie; Volkan, Pelin C
2015-12-01
The zinc-finger protein Rotund (Rn) plays a critical role in controlling the development of the fly olfactory system. However, little is known about its molecular function in vivo. Here, we added protein tags to the rn locus using CRISPR-Cas9 technology in Drosophila to investigate its subcellular localization and the genes that it regulates . We previously used a reporter construct to show that rn is expressed in a subset of olfactory receptor neuron (ORN) precursors and it is required for the diversification of ORN fates. Here, we show that tagged endogenous Rn protein is functional based on the analysis of ORN phenotypes. Using this method, we also mapped the expression pattern of the endogenous isoform-specific tags in vivo with increased precision. Comparison of the Rn expression pattern from this study with previously published results using GAL4 reporters showed that Rn is mainly present in early steps in antennal disc patterning, but not in pupal stages when ORNs are born. Finally, using chromatin immunoprecipitation, we showed a direct binding of Rotund to a previously identified regulatory element upstream of the bric-a-brac gene locus in the developing antennal disc. PMID:26497147
Li, Qingyun; Barish, Scott; Okuwa, Sumie; Volkan, Pelin C
2015-12-01
The zinc-finger protein Rotund (Rn) plays a critical role in controlling the development of the fly olfactory system. However, little is known about its molecular function in vivo. Here, we added protein tags to the rn locus using CRISPR-Cas9 technology in Drosophila to investigate its subcellular localization and the genes that it regulates . We previously used a reporter construct to show that rn is expressed in a subset of olfactory receptor neuron (ORN) precursors and it is required for the diversification of ORN fates. Here, we show that tagged endogenous Rn protein is functional based on the analysis of ORN phenotypes. Using this method, we also mapped the expression pattern of the endogenous isoform-specific tags in vivo with increased precision. Comparison of the Rn expression pattern from this study with previously published results using GAL4 reporters showed that Rn is mainly present in early steps in antennal disc patterning, but not in pupal stages when ORNs are born. Finally, using chromatin immunoprecipitation, we showed a direct binding of Rotund to a previously identified regulatory element upstream of the bric-a-brac gene locus in the developing antennal disc.
In vivo mutagenesis of miRNA gene families using a scalable multiplexed CRISPR/Cas9 nuclease system
Narayanan, Anand; Hill-Teran, Guillermina; Moro, Albertomaria; Ristori, Emma; Kasper, Dionna M.; A. Roden, Christine; Lu, Jun; Nicoli, Stefania
2016-01-01
A large number of microRNAs (miRNAs) are grouped into families derived from the same phylogenetic ancestors. miRNAs within a family often share the same physiological functions despite differences in their primary sequences, secondary structures, or chromosomal locations. Consequently, the generation of animal models to analyze the activity of miRNA families is extremely challenging. Using zebrafish as a model system, we successfully provide experimental evidence that a large number of miRNAs can be simultaneously mutated to abrogate the activity of an entire miRNA family. We show that injection of the Cas9 nuclease and two, four, ten, and up to twenty-four multiplexed single guide RNAs (sgRNAs) can induce mutations in 90% of the miRNA genomic sequences analyzed. We performed a survey of these 45 mutations in 10 miRNA genes, analyzing the impact of our mutagenesis strategy on the processing of each miRNA both computationally and in vivo. Our results offer an effective approach to mutate and study the activity of miRNA families and pave the way for further analysis on the function of complex miRNA families in higher multicellular organisms. PMID:27572667
ERIC Educational Resources Information Center
Dougherty, Shaun M.; Goodman, Joshua S.; Hill, Darryl V.; Litke, Erica G.; Page, Lindsay C.
2015-01-01
Taking algebra by eighth grade is considered an important milestone on the pathway to college readiness. We highlight a collaboration to investigate one district's effort to increase middle school algebra course-taking. In 2010, the Wake County Public Schools began assigning middle school students to accelerated math and eighth-grade algebra based…
NASA Astrophysics Data System (ADS)
Akhunov, R. R.; Gazizov, T. R.; Kuksenko, S. P.
2016-08-01
The mean time needed to solve a series of systems of linear algebraic equations (SLAEs) as a function of the number of SLAEs is investigated. It is proved that this function has an extremum point. An algorithm for adaptively determining the time when the preconditioner matrix should be recalculated when a series of SLAEs is solved is developed. A numerical experiment with multiply solving a series of SLAEs using the proposed algorithm for computing 100 capacitance matrices with two different structures—microstrip when its thickness varies and a modal filter as the gap between the conductors varies—is carried out. The speedups turned out to be close to the optimal ones.
Engineered CRISPR-Cas9 nucleases with altered PAM specificities
Kleinstiver, Benjamin P.; Prew, Michelle S.; Tsai, Shengdar Q.; Topkar, Ved; Nguyen, Nhu T.; Zheng, Zongli; Gonzales, Andrew P.W.; Li, Zhuyun; Peterson, Randall T.; Yeh, Jing-Ruey Joanna; Aryee, Martin J.; Joung, J. Keith
2015-01-01
Although CRISPR-Cas9 nucleases are widely used for genome editing1, 2, the range of sequences that Cas9 can recognize is constrained by the need for a specific protospacer adjacent motif (PAM)3–6. As a result, it can often be difficult to target double-stranded breaks (DSBs) with the precision that is necessary for various genome editing applications. The ability to engineer Cas9 derivatives with purposefully altered PAM specificities would address this limitation. Here we show that the commonly used Streptococcus pyogenes Cas9 (SpCas9) can be modified to recognize alternative PAM sequences using structural information, bacterial selection-based directed evolution, and combinatorial design. These altered PAM specificity variants enable robust editing of endogenous gene sites in zebrafish and human cells not currently targetable by wild-type SpCas9, and their genome-wide specificities are comparable to wild-type SpCas9 as judged by GUIDE-Seq analysis7. In addition, we identified and characterized another SpCas9 variant that exhibits improved specificity in human cells, possessing better discrimination against off-target sites with non-canonical NAG and NGA PAMs and/or mismatched spacers. We also found that two smaller-size Cas9 orthologues, Streptococcus thermophilus Cas9 (St1Cas9) and Staphylococcus aureus Cas9 (SaCas9), function efficiently in the bacterial selection systems and in human cells, suggesting that our engineering strategies could be extended to Cas9s from other species. Our findings provide broadly useful SpCas9 variants and, more importantly, establish the feasibility of engineering a wide range of Cas9s with altered and improved PAM specificities. PMID:26098369
Engineered CRISPR-Cas9 nucleases with altered PAM specificities.
Kleinstiver, Benjamin P; Prew, Michelle S; Tsai, Shengdar Q; Topkar, Ved V; Nguyen, Nhu T; Zheng, Zongli; Gonzales, Andrew P W; Li, Zhuyun; Peterson, Randall T; Yeh, Jing-Ruey Joanna; Aryee, Martin J; Joung, J Keith
2015-07-23
Although CRISPR-Cas9 nucleases are widely used for genome editing, the range of sequences that Cas9 can recognize is constrained by the need for a specific protospacer adjacent motif (PAM). As a result, it can often be difficult to target double-stranded breaks (DSBs) with the precision that is necessary for various genome-editing applications. The ability to engineer Cas9 derivatives with purposefully altered PAM specificities would address this limitation. Here we show that the commonly used Streptococcus pyogenes Cas9 (SpCas9) can be modified to recognize alternative PAM sequences using structural information, bacterial selection-based directed evolution, and combinatorial design. These altered PAM specificity variants enable robust editing of endogenous gene sites in zebrafish and human cells not currently targetable by wild-type SpCas9, and their genome-wide specificities are comparable to wild-type SpCas9 as judged by GUIDE-seq analysis. In addition, we identify and characterize another SpCas9 variant that exhibits improved specificity in human cells, possessing better discrimination against off-target sites with non-canonical NAG and NGA PAMs and/or mismatched spacers. We also find that two smaller-size Cas9 orthologues, Streptococcus thermophilus Cas9 (St1Cas9) and Staphylococcus aureus Cas9 (SaCas9), function efficiently in the bacterial selection systems and in human cells, suggesting that our engineering strategies could be extended to Cas9s from other species. Our findings provide broadly useful SpCas9 variants and, more importantly, establish the feasibility of engineering a wide range of Cas9s with altered and improved PAM specificities.
Li, Meiru; Li, Xiaoxia; Zhou, Zejiao; Wu, Pingzhi; Fang, Maichun; Pan, Xiaoping; Lin, Qiupeng; Luo, Wanbin; Wu, Guojiang; Li, Hongqing
2016-01-01
Clustered Regularly Interspaced Short Palindromic Repeats (CRISPR)-associated (Cas) systems have been successfully used as efficient tools for genome editing in a variety of species. We used the CRISPR/Cas9 system to mutate the Gn1a (Os01g0197700), DEP1 (Os09g0441900), GS3 (Os03g0407400), and IPA1 (Os08g0509600) genes of rice cultivar Zhonghua 11, genes which have been reported to function as regulators of grain number, panicle architecture, grain size and plant architecture, respectively. Analysis of the phenotypes and frequencies of edited genes in the first generation of transformed plants (T0) showed that the CRISPR/Cas9 system was highly efficient in inducing targeted gene editing, with the desired genes being edited in 42.5% (Gn1a), 67.5% (DEP1), 57.5% (GS3), and 27.5% (IPA1) of the transformed plants. The T2 generation of the gn1a, dep1, and gs3 mutants featured enhanced grain number, dense erect panicles, and larger grain size, respectively. Furthermore, semi-dwarf, and grain with long awn, phenotypes were observed in dep1 and gs3 mutants, respectively. The ipa1 mutants showed two contrasting phenotypes, having either fewer tillers or more tillers, depending on the changes induced in the OsmiR156 target region. In addition, we found that mutants with deletions occurred more frequently than previous reports had indicated and that off-targeting had taken place in highly similar target sequences. These results proved that multiple regulators of important traits can be modified in a single cultivar by CRISPR/Cas9, and thus facilitate the dissection of complex gene regulatory networks in the same genomic background and the stacking of important traits in cultivated varieties. PMID:27066031
Li, Meiru; Li, Xiaoxia; Zhou, Zejiao; Wu, Pingzhi; Fang, Maichun; Pan, Xiaoping; Lin, Qiupeng; Luo, Wanbin; Wu, Guojiang; Li, Hongqing
2016-01-01
Clustered Regularly Interspaced Short Palindromic Repeats (CRISPR)-associated (Cas) systems have been successfully used as efficient tools for genome editing in a variety of species. We used the CRISPR/Cas9 system to mutate the Gn1a (Os01g0197700), DEP1 (Os09g0441900), GS3 (Os03g0407400), and IPA1 (Os08g0509600) genes of rice cultivar Zhonghua 11, genes which have been reported to function as regulators of grain number, panicle architecture, grain size and plant architecture, respectively. Analysis of the phenotypes and frequencies of edited genes in the first generation of transformed plants (T0) showed that the CRISPR/Cas9 system was highly efficient in inducing targeted gene editing, with the desired genes being edited in 42.5% (Gn1a), 67.5% (DEP1), 57.5% (GS3), and 27.5% (IPA1) of the transformed plants. The T2 generation of the gn1a, dep1, and gs3 mutants featured enhanced grain number, dense erect panicles, and larger grain size, respectively. Furthermore, semi-dwarf, and grain with long awn, phenotypes were observed in dep1 and gs3 mutants, respectively. The ipa1 mutants showed two contrasting phenotypes, having either fewer tillers or more tillers, depending on the changes induced in the OsmiR156 target region. In addition, we found that mutants with deletions occurred more frequently than previous reports had indicated and that off-targeting had taken place in highly similar target sequences. These results proved that multiple regulators of important traits can be modified in a single cultivar by CRISPR/Cas9, and thus facilitate the dissection of complex gene regulatory networks in the same genomic background and the stacking of important traits in cultivated varieties.
NASA Technical Reports Server (NTRS)
Ruge, J. W.; Stueben, K.
1987-01-01
The state of the art in algebraic multgrid (AMG) methods is discussed. The interaction between the relaxation process and the coarse grid correction necessary for proper behavior of the solution probes is discussed in detail. Sufficient conditions on relaxation and interpolation for the convergence of the V-cycle are given. The relaxation used in AMG, what smoothing means in an algebraic setting, and how it relates to the existing theory are considered. Some properties of the coarse grid operator are discussed, and results on the convergence of two-level and multilevel convergence are given. Details of an algorithm particularly studied for problems obtained by discretizing a single elliptic, second order partial differential equation are given. Results of experiments with such problems using both finite difference and finite element discretizations are presented.
You, Zhipeng; Lissouba, Alexandra; Chen, Brian Edwin; Drapeau, Pierre
2016-01-01
The methodology for site-directed editing of single nucleotides in the vertebrate genome is of considerable interest for research in biology and medicine. The clustered regularly interspaced short palindromic repeats (CRISPR)/CRISPR-associated protein 9 type II (Cas9) system has emerged as a simple and inexpensive tool for editing genomic loci of interest in a variety of animal models. In zebrafish, error-prone non-homologous end joining (NHEJ) has been used as a simple method to disrupt gene function. We sought to develop a method to easily create site-specific SNPs in the zebrafish genome. Here, we report simple methodologies for using CRISPR/Cas9-mediated homology directed repair using single-stranded oligodeoxynucleotide donor templates (ssODN) for site-directed single nucleotide editing, for the first time in two disease-related genes, tardbp and fus. PMID:26930076
Mizuno, Seiya; Dinh, Tra Thi Huong; Kato, Kanako; Mizuno-Iijima, Saori; Tanimoto, Yoko; Daitoku, Yoko; Hoshino, Yoshikazu; Ikawa, Masahito; Takahashi, Satoru; Sugiyama, Fumihiro; Yagami, Ken-ichi
2014-08-01
Single nucleotide mutations (SNMs) are associated with a variety of human diseases. The CRISPR/Cas9 genome-editing system is expected to be useful as a genetic modification method for production of SNM-induced mice. To investigate whether SNM-induced mice can be generated by zygote microinjection of CRISPR/Cas9 vector and single-stranded DNA (ssDNA) donor, we attempted to produce albino C57BL/6J mice carrying the Tyr gene SNM (G291T) from pigmented C57BL/6J zygotes. We first designed and constructed a CRISPR/Cas9 expression vector for the Tyr gene (px330-Tyr-M). DNA cleavage activity of px330-Tyr-M at the target site of the Tyr gene was confirmed by the EGxxFP system. We also designed an ssDNA donor for homology-directed repair (HDR)-mediated gene modification. The px330-Tyr-M vector and ssDNA donor were co-microinjected into the pronuclei of 224 one-cell-stage embryos derived from C57BL/6J mice. We obtained 60 neonates, 28 of which showed the ocular albinism and absence of coat pigmentation. Genomic sequencing analysis of the albino mice revealed that the target of SNM, G291T in the Tyr gene, occurred in 11 mice and one founder was homozygously mutated. The remaining albino founders without Tyr G291T mutation also possessed biallelic deletion and insertion mutants adjacent to the target site in the Tyr locus. Simple production of albino C57BL/6J mice was provided by C57BL/6J zygote microinjection with px330-Tyr-M DNA vector and mutant ssDNA (G291T in Tyr) donor. A combination of CRISPR/Cas9 vector and optional mutant ssDNA could be expected to efficiently produce novel SNM-induced mouse models for investigating human diseases. PMID:24879364
Nucleosome breathing and remodeling constrain CRISPR-Cas9 function.
Isaac, R Stefan; Jiang, Fuguo; Doudna, Jennifer A; Lim, Wendell A; Narlikar, Geeta J; Almeida, Ricardo
2016-04-28
The CRISPR-Cas9 bacterial surveillance system has become a versatile tool for genome editing and gene regulation in eukaryotic cells, yet how CRISPR-Cas9 contends with the barriers presented by eukaryotic chromatin is poorly understood. Here we investigate how the smallest unit of chromatin, a nucleosome, constrains the activity of the CRISPR-Cas9 system. We find that nucleosomes assembled on native DNA sequences are permissive to Cas9 action. However, the accessibility of nucleosomal DNA to Cas9 is variable over several orders of magnitude depending on dynamic properties of the DNA sequence and the distance of the PAM site from the nucleosome dyad. We further find that chromatin remodeling enzymes stimulate Cas9 activity on nucleosomal templates. Our findings imply that the spontaneous breathing of nucleosomal DNA together with the action of chromatin remodelers allow Cas9 to effectively act on chromatin in vivo.
Brain tumor modeling using the CRISPR/Cas9 system: state of the art and view to the future.
Mao, Xiao-Yuan; Dai, Jin-Xiang; Zhou, Hong-Hao; Liu, Zhao-Qian; Jin, Wei-Lin
2016-05-31
Although brain tumors have been known tremendously over the past decade, there are still many problems to be solved. The etiology of brain tumors is not well understood and the treatment remains modest. There is in great need to develop a suitable brain tumor models that faithfully mirror the etiology of human brain neoplasm and subsequently get more efficient therapeutic approaches for these disorders. In this review, we described the current status of animal models of brain tumors and analyzed their advantages and disadvantages. Additionally, prokaryotic clustered regularly interspaced short palindromic repeats (CRISPR)/CRISPR-associated protein 9 (Cas9), a versatile genome editing technology for investigating the functions of target genes, and its application were also introduced in our present work. We firstly proposed that brain tumor modeling could be well established via CRISPR/Cas9 techniques. And CRISPR/Cas9-mediated brain tumor modeling was likely to be more suitable for figuring out the pathogenesis of brain tumors, as CRISPR/Cas9 platform was a simple and more efficient biological toolbox for implementing mutagenesis of oncogenes or tumor suppressors that were closely linked with brain tumors.
The effects of potassium addition on the rate of quartz dissolution in the CMAS and CAS systems
NASA Astrophysics Data System (ADS)
Shaw, Cliff S. J.
2012-11-01
Quartz dissolution in melts in the KCAS and KCMAS systems results in the formation of a silica- and potassium-enriched boundary layer next to the dissolving crystals. The presence of potassium in CAS melts has no discernible effect on dissolution rate compared with that in K-free melts with otherwise similar composition despite a small decrease in the diffusivity of silica in the potassium-bearing melts. The decrease in silica diffusivity is offset by an increase in the solubility of silica in the K-bearing melts. Addition of potassium to CMAS melts results in a large decrease in the dissolution rate of quartz. Even though the solubility of silica is enhanced, the addition of potassium leads to large changes in the structure of the melt in the boundary layer (as measured by NBO/T), which results in a large decrease in the diffusivity of silica and thus slower dissolution. There is significant diffusive coupling of Al2O3, CaO and MgO during dissolution, which leads to local uphill diffusion of these components. K2O is decoupled from the other components, as shown by its much thicker diffusion zone. Potassium moves through the boundary layer as a result of two homogeneous reactions: uphill diffusion in which potassium diffuses into the silica-enriched melt adjacent to the dissolving quartz crystal and downhill diffusion in the region furthest from the crystal-melt interface where SiO2 and K2O diffuse away from the interface together.
Integration of a CAS/DGS as a CAD system in the mathematics curriculum for architecture students
NASA Astrophysics Data System (ADS)
Falcón, R. M.
2011-09-01
Students of Architecture and Building Engineering Degrees work with Computer Aided Design systems daily in order to design and model architectonic constructions. Since this kind of software is based on the creation and transformation of geometrical objects, it seems to be a useful tool in Maths classes in order to capture the attention of the students. However, users of these systems cannot display the set of formulas and equations which constitute the basis of their studio. Moreover, if they want to represent curves or surfaces starting from its corresponding equations, they have to define specific macros which require the knowledge of some computer language or they have to create a table of points in order to convert a set of nodes into polylines, polysolids or splines. More specific concepts, like, for instance, those related to differential geometry, are not implemented in this kind of software, although they are taught in our Maths classes. In a very similar virtual environment, Computer Algebra and Dynamic Geometry Systems offer the possibility of implementing several concepts which can be found in the usual mathematics curriculum for Building Engineering: curves, surfaces and calculus. Specifically, the use of sliders related to the Euler's angles and the generation of tools which project 3D into 2D, facilitate the design and model of curves and rigid objects in space, by starting from their parametric equations. In this article, we show the experience carried out in an experimental and control group in the context of the Maths classes of the Building Engineering Degree of the University of Seville, where students have created their own building models by understanding and testing the usefulness of the mathematical concepts.
Multiobjective algebraic synthesis of neural control systems by implicit model following.
Ferrari, Silvia
2009-03-01
The advantages brought about by using classical linear control theory in conjunction with neural approximators have long been recognized in the literature. In particular, using linear controllers to obtain the starting neural control design has been shown to be a key step for the successful development and implementation of adaptive-critic neural controllers. Despite their adaptive capabilities, neural controllers are often criticized for not providing the same performance and stability guarantees as classical linear designs. Therefore, this paper develops an algebraic synthesis procedure for designing dynamic output-feedback neural controllers that are closed-loop stable and meet the same performance objectives as any classical linear design. The performance synthesis problem is addressed by deriving implicit model-following algebraic relationships between model matrices, obtained from the classical design, and the neural control parameters. Additional linear matrix inequalities (LMIs) conditions for closed-loop exponential stability of the neural controller are derived using existing integral quadratic constraints (IQCs) for operators with repeated slope-restricted nonlinearities. The approach is demonstrated by designing a recurrent neural network controller for a highly maneuverable tailfin-controlled missile that meets multiple design objectives, including pole placement for transient tuning, H(infinity) and H(2) performance in the presence of parameter uncertainty, and command-input tracking. PMID:19203887
Static algebraic solitons in Korteweg-de Vries type systems and the Hirota transformation.
Burde, G I
2011-08-01
Some effects in the soliton dynamics governed by higher-order Korteweg-de Vries (KdV) type equations are discussed. This is done based on the exact explicit solutions of the equations derived in the paper. It is shown that some higher order KdV equations possessing multisoliton solutions also admit steady state solutions in terms of algebraic functions describing localized patterns. Solutions including both those static patterns and propagating KdV-like solitons are combinations of algebraic and hyperbolic functions. It is shown that the localized structures behave like static solitons upon collisions with regular moving solitons, with their shape remaining unchanged after the collision and only the position shifted. These phenomena are not revealed in common multisoliton solutions derived using inverse scattering or Hirota's method. The solutions of the higher-order KdV type equations were obtained using a method devised for obtaining soliton solutions of nonlinear evolution equations. This method can be combined with Hirota's method with a modified representation of the solution which allows the results to be extended to multisoliton solutions. The prospects for applying the methods to soliton equations not of KdV type are discussed. PMID:21929136
NASA Astrophysics Data System (ADS)
Vaninsky, Alexander
2011-04-01
This article introduces a trigonometric field (TF) that extends the field of real numbers by adding two new elements: sin and cos - satisfying an axiom sin2 + cos2 = 1. It is shown that by assigning meaningful names to particular elements of the field, all known trigonometric identities may be introduced and proved. Two different interpretations of the TF are discussed with many others potentially possible. The main objective of this article is to introduce a broader view of trigonometry that can serve as motivation for mathematics students and teachers to study and teach abstract algebraic structures.
ERIC Educational Resources Information Center
Council for the Advancement of Standards in Higher Education, 2011
2011-01-01
The mission of the Council for the Advancement of Standards in Higher Education (CAS) is to promote the improvement of programs and services to enhance the quality of student learning and development. CAS is a consortium of professional associations who work collaboratively to develop and promulgate standards and guidelines and to encourage…
Quantum algebra of N superspace
Hatcher, Nicolas; Restuccia, A.; Stephany, J.
2007-08-15
We identify the quantum algebra of position and momentum operators for a quantum system bearing an irreducible representation of the super Poincare algebra in the N>1 and D=4 superspace, both in the case where there are no central charges in the algebra, and when they are present. This algebra is noncommutative for the position operators. We use the properties of superprojectors acting on the superfields to construct explicit position and momentum operators satisfying the algebra. They act on the projected wave functions associated to the various supermultiplets with defined superspin present in the representation. We show that the quantum algebra associated to the massive superparticle appears in our construction and is described by a supermultiplet of superspin 0. This result generalizes the construction for D=4, N=1 reported recently. For the case N=2 with central charges, we present the equivalent results when the central charge and the mass are different. For the {kappa}-symmetric case when these quantities are equal, we discuss the reduction to the physical degrees of freedom of the corresponding superparticle and the construction of the associated quantum algebra.
Kalay, Berfin; Demiralp, Metin
2015-12-31
This proceedings paper aims to show the efficiency of an expectation value identity for a given algebraic function operator which is assumed to be depending pn only position operator. We show that this expectation value formula becomes enabled to determine the eigenstates of the quantum system Hamiltonian as long as it is autonomous and an appropriate basis set in position operator is used. This approach produces a denumerable infinite recursion which may be considered as revisited but at the same time generalized form of the recursions over the natural number powers of the position operator. The content of this short paper is devoted not only to the formulation of the new method but also to show that this novel approach is capable of catching the eigenvalues and eigenfunctions for Hydrogen-like systems, beyond that, it can give a hand to us to reveal the wavefunction structure. So it has also somehow a confirmative nature.
Expanding the catalog of cas genes with metagenomes.
Zhang, Quan; Doak, Thomas G; Ye, Yuzhen
2014-02-01
The CRISPR (clusters of regularly interspaced short palindromic repeats)-Cas adaptive immune system is an important defense system in bacteria, providing targeted defense against invasions of foreign nucleic acids. CRISPR-Cas systems consist of CRISPR loci and cas (CRISPR-associated) genes: sequence segments of invaders are incorporated into host genomes at CRISPR loci to generate specificity, while adjacent cas genes encode proteins that mediate the defense process. We pursued an integrated approach to identifying putative cas genes from genomes and metagenomes, combining similarity searches with genomic neighborhood analysis. Application of our approach to bacterial genomes and human microbiome datasets allowed us to significantly expand the collection of cas genes: the sequence space of the Cas9 family, the key player in the recently engineered RNA-guided platforms for genome editing in eukaryotes, is expanded by at least two-fold with metagenomic datasets. We found genes in cas loci encoding other functions, for example, toxins and antitoxins, confirming the recently discovered potential of coupling between adaptive immunity and the dormancy/suicide systems. We further identified 24 novel Cas families; one novel family contains 20 proteins, all identified from the human microbiome datasets, illustrating the importance of metagenomics projects in expanding the diversity of cas genes.
CRISPR-Cas: biology, mechanisms and relevance
Hille, Frank
2016-01-01
Prokaryotes have evolved several defence mechanisms to protect themselves from viral predators. Clustered regularly interspaced short palindromic repeats (CRISPR) and their associated proteins (Cas) display a prokaryotic adaptive immune system that memorizes previous infections by integrating short sequences of invading genomes—termed spacers—into the CRISPR locus. The spacers interspaced with repeats are expressed as small guide CRISPR RNAs (crRNAs) that are employed by Cas proteins to target invaders sequence-specifically upon a reoccurring infection. The ability of the minimal CRISPR-Cas9 system to target DNA sequences using programmable RNAs has opened new avenues in genome editing in a broad range of cells and organisms with high potential in therapeutical applications. While numerous scientific studies have shed light on the biochemical processes behind CRISPR-Cas systems, several aspects of the immunity steps, however, still lack sufficient understanding. This review summarizes major discoveries in the CRISPR-Cas field, discusses the role of CRISPR-Cas in prokaryotic immunity and other physiological properties, and describes applications of the system as a DNA editing technology and antimicrobial agent. This article is part of the themed issue ‘The new bacteriology’. PMID:27672148
CRISPR-Cas: biology, mechanisms and relevance.
Hille, Frank; Charpentier, Emmanuelle
2016-11-01
Prokaryotes have evolved several defence mechanisms to protect themselves from viral predators. Clustered regularly interspaced short palindromic repeats (CRISPR) and their associated proteins (Cas) display a prokaryotic adaptive immune system that memorizes previous infections by integrating short sequences of invading genomes-termed spacers-into the CRISPR locus. The spacers interspaced with repeats are expressed as small guide CRISPR RNAs (crRNAs) that are employed by Cas proteins to target invaders sequence-specifically upon a reoccurring infection. The ability of the minimal CRISPR-Cas9 system to target DNA sequences using programmable RNAs has opened new avenues in genome editing in a broad range of cells and organisms with high potential in therapeutical applications. While numerous scientific studies have shed light on the biochemical processes behind CRISPR-Cas systems, several aspects of the immunity steps, however, still lack sufficient understanding. This review summarizes major discoveries in the CRISPR-Cas field, discusses the role of CRISPR-Cas in prokaryotic immunity and other physiological properties, and describes applications of the system as a DNA editing technology and antimicrobial agent.This article is part of the themed issue 'The new bacteriology'.
CRISPR-Cas: biology, mechanisms and relevance.
Hille, Frank; Charpentier, Emmanuelle
2016-11-01
Prokaryotes have evolved several defence mechanisms to protect themselves from viral predators. Clustered regularly interspaced short palindromic repeats (CRISPR) and their associated proteins (Cas) display a prokaryotic adaptive immune system that memorizes previous infections by integrating short sequences of invading genomes-termed spacers-into the CRISPR locus. The spacers interspaced with repeats are expressed as small guide CRISPR RNAs (crRNAs) that are employed by Cas proteins to target invaders sequence-specifically upon a reoccurring infection. The ability of the minimal CRISPR-Cas9 system to target DNA sequences using programmable RNAs has opened new avenues in genome editing in a broad range of cells and organisms with high potential in therapeutical applications. While numerous scientific studies have shed light on the biochemical processes behind CRISPR-Cas systems, several aspects of the immunity steps, however, still lack sufficient understanding. This review summarizes major discoveries in the CRISPR-Cas field, discusses the role of CRISPR-Cas in prokaryotic immunity and other physiological properties, and describes applications of the system as a DNA editing technology and antimicrobial agent.This article is part of the themed issue 'The new bacteriology'. PMID:27672148
NASA Technical Reports Server (NTRS)
Cleaveland, Rance; Luettgen, Gerald; Natarajan, V.
1999-01-01
This paper surveys the semantic ramifications of extending traditional process algebras with notions of priority that allow for some transitions to be given precedence over others. These enriched formalisms allow one to model system features such as interrupts, prioritized choice, or real-time behavior. Approaches to priority in process algebras can be classified according to whether the induced notion of preemption on transitions is global or local and whether priorities are static or dynamic. Early work in the area concentrated on global pre-emption and static priorities and led to formalisms for modeling interrupts and aspects of real-time, such as maximal progress, in centralized computing environments. More recent research has investigated localized notions of pre-emption in which the distribution of systems is taken into account, as well as dynamic priority approaches, i.e., those where priority values may change as systems evolve. The latter allows one to model behavioral phenomena such as scheduling algorithms and also enables the efficient encoding of real-time semantics. Technically, this paper studies the different models of priorities by presenting extensions of Milner's Calculus of Communicating Systems (CCS) with static and dynamic priority as well as with notions of global and local pre- emption. In each case the operational semantics of CCS is modified appropriately, behavioral theories based on strong and weak bisimulation are given, and related approaches for different process-algebraic settings are discussed.
NASA Astrophysics Data System (ADS)
Dankova, T. S.; Rosensteel, G.
1998-10-01
Mean field theory has an unexpected group theoretic mathematical foundation. Instead of representation theory which applies to most group theoretic quantum models, Hartree-Fock and Hartree-Fock-Bogoliubov have been formulated in terms of coadjoint orbits for the groups U(n) and O(2n). The general theory of mean fields is formulated for an arbitrary Lie algebra L of fermion operators. The moment map provides the correspondence between the Hilbert space of microscopic wave functions and the dual space L^* of densities. The coadjoint orbits of the group in the dual space are phase spaces on which time-dependent mean field theory is equivalent to a classical Hamiltonian dynamical system. Indeed it forms a finite-dimensional Lax system. The mean field theories for the Elliott SU(3) and symplectic Sp(3,R) algebras are constructed explicitly in the coadjoint orbit framework.
2013-05-06
AMG2013 is a parallel algebraic multigrid solver for linear systems arising from problems on unstructured grids. It has been derived directly from the Boomer AMG solver in the hypre library, a large linear solvers library that is being developed in the Center for Applied Scientific Computing (CASC) at LLNL. The driver provided in the benchmark can build various test problems. The default problem is a Laplace type problem on an unstructured domain with various jumps and an anisotropy in one part.
NASA Astrophysics Data System (ADS)
Krasnikov, S. D.; Kuznetsov, E. B.
2016-09-01
Numerical continuation of solution through certain singular points of the curve of the set of solutions to a system of nonlinear algebraic or transcendental equations with a parameter is considered. Bifurcation points of codimension two and three are investigated. Algorithms and computer programs are developed that implement the procedure of discrete parametric continuation of the solution and find all branches at simple bifurcation points of codimension two and three. Corresponding theorems are proved, and each algorithm is rigorously justified. A novel algorithm for the estimation of errors of tangential vectors at simple bifurcation points of a finite codimension m is proposed. The operation of the computer programs is demonstrated by test examples, which allows one to estimate their efficiency and confirm the theoretical results.
Spectroscopic Observations of UU Cas
NASA Astrophysics Data System (ADS)
Markov, H.; Vince, I.; Markova, N.; Djurasevic, G.
2010-09-01
High dispersion (R = 30000) spectra of the eclipsing binary system UU Cas are presented for the first time. Spectra covering 15 different phases were taken in two spectral regions - the vicinity of H_α and another centered on 5800Å. Seven spectral lines were identified in common. Four of them belonging to the brighter component were used to construct radial velocity curve. Some constrains on the spectral classification of the components are presented.
Protein engineering of Cas9 for enhanced function
Oakes, Benjamin L.; Nadler, Dana C.; Savage, David F.
2015-01-01
CRISPR/Cas systems act to protect the cell from invading nucleic acids in many bacteria and archaea. The bacterial immune protein Cas9 is a component of one of these CRISPR/Cas systems and has recently been adapted as a tool for genome editing. Cas9 is easily targeted to bind and cleave a DNA sequence via a complimentary RNA; this straightforward programmability has gained Cas9 rapid acceptance in the field of genetic engineering. While this technology has developed quickly, a number of challenges regarding Cas9 specificity, efficiency, fusion protein function, and spatiotemporal control within the cell remain. In this work, we develop a platform for constructing novel proteins to address these open questions. We demonstrate methods to either screen or select active Cas9 mutants and use the screening technique to isolate functional Cas9 variants with a heterologous PDZ domain inserted directly into the protein. As a proof of concept, these methods lay the groundwork for the future construction of diverse Cas9 proteins. Straightforward and accessible techniques for genetic editing are helping to elucidate biology in new and exciting ways; a platform to engineer new functionalities into Cas9 will help forge the next generation of genome modifying tools. PMID:25398355
Highly specific targeted mutagenesis in plants using Staphylococcus aureus Cas9
Kaya, Hidetaka; Mikami, Masafumi; Endo, Akira; Endo, Masaki; Toki, Seiichi
2016-01-01
The CRISPR/Cas9 system is an efficient and convenient tool for genome editing in plants. Cas9 nuclease derived from Streptococcus pyogenes (Sp) is commonly used in this system. Recently, Staphylococcus aureus Cas9 (SaCas9)-mediated genome editing was reported in human cells and Arabidopsis. Because SaCas9 (1053 a.a.) is smaller than SpCas9 (1368 a.a.), SaCas9 could have substantial advantages for delivering and expressing Cas9 protein, especially using virus vectors. Since the protospacer adjacent motif (PAM) sequence of SaCas9 (5′-NNGRRT-3′) differs from that of SpCas9 (5′-NGG-3′), the use of this alternative Cas9 nuclease could expand the selectivity at potential cleavage target sites of the CRISPR/Cas9 system. Here we show that SaCas9 can mutagenize target sequences in tobacco and rice with efficiencies similar to those of SpCas9. We also analyzed the base preference for ‘T’ at the 6th position of the SaCas9 PAM. Targeted mutagenesis efficiencies in target sequences with non-canonical PAMs (5′-NNGRRV-3′) were much lower than those with a canonical PAM (5′-NNGRRT-3′). The length of target sequence recognized by SaCas9 is one or two nucleotides longer than that recognized by SpCas9. Taken together, our results demonstrate that SaCas9 has higher sequence recognition capacity than SpCas9 and is useful for reducing off-target mutations in crop. PMID:27226350
Precision Targeted Mutagenesis via Cas9 Paired Nickases in Rice
Mikami, Masafumi; Toki, Seiichi; Endo, Masaki
2016-01-01
Recent reports of CRISPR- (clustered regularly interspaced short palindromic repeats)/Cas9 (CRISPR-associated protein 9) mediated heritable mutagenesis in plants highlight the need for accuracy of the mutagenesis directed by this system. Off-target mutations are an important issue when considering functional gene analysis, as well as the molecular breeding of crop plants with large genome size, i.e. with many duplicated genes, and where the whole-genome sequence is still lacking. In mammals, off-target mutations can be suppressed by using Cas9 paired nickases together with paired guide RNAs (gRNAs). However, the performance of Cas9 paired nickases has not yet been fully assessed in plants. Here, we analyzed on- and off-target mutation frequency in rice calli and regenerated plants using Cas9 nuclease or Cas9 nickase with paired gRNAs. When Cas9 paired nickases were used, off-target mutations were fully suppressed in rice calli and regenerated plants. However, on-target mutation frequency also decreased compared with that induced by the Cas9 paired nucleases system. Since the gRNA sequence determines specific binding of Cas9 protein–gRNA ribonucleoproteins at the targeted sequence, the on-target mutation frequency of Cas9 paired nickases depends on the design of paired gRNAs. Our results suggest that a combination of gRNAs that can induce mutations at high efficiency with Cas9 nuclease should be used together with Cas9 nickase. Furthermore, we confirmed that a combination of gRNAs containing a one nucleotide (1 nt) mismatch toward the target sequence could not induce mutations when expressed with Cas9 nickase. Our results clearly show the effectiveness of Cas9 paired nickases in delivering on-target specific mutations. PMID:26936792
Long-term dual-color tracking of genomic loci by modified sgRNAs of the CRISPR/Cas9 system.
Shao, Shipeng; Zhang, Weiwei; Hu, Huan; Xue, Boxin; Qin, Jinshan; Sun, Chaoying; Sun, Yuao; Wei, Wensheng; Sun, Yujie
2016-05-19
Visualization of chromosomal dynamics is important for understanding many fundamental intra-nuclear processes. Efficient and reliable live-cell multicolor labeling of chromosomal loci can realize this goal. However, the current methods are constrained mainly by insufficient labeling throughput, efficiency, flexibility as well as photostability. Here we have developed a new approach to realize dual-color chromosomal loci imaging based on a modified single-guide RNA (sgRNA) of the CRISPR/Cas9 system. The modification of sgRNA was optimized by structure-guided engineering of the original sgRNA, consisting of RNA aptamer insertions that bind fluorescent protein-tagged effectors. By labeling and tracking telomeres, centromeres and genomic loci, we demonstrate that the new approach is easy to implement and enables robust dual-color imaging of genomic elements. Importantly, our data also indicate that the fast exchange rate of RNA aptamer binding effectors makes our sgRNA-based labeling method much more tolerant to photobleaching than the Cas9-based labeling method. This is crucial for continuous, long-term tracking of chromosomal dynamics. Lastly, as our method is complementary to other live-cell genomic labeling systems, it is therefore possible to combine them into a plentiful palette for the study of native chromatin organization and genome ultrastructure dynamics in living cells.
Long-term dual-color tracking of genomic loci by modified sgRNAs of the CRISPR/Cas9 system
Shao, Shipeng; Zhang, Weiwei; Hu, Huan; Xue, Boxin; Qin, Jinshan; Sun, Chaoying; Sun, Yuao; Wei, Wensheng; Sun, Yujie
2016-01-01
Visualization of chromosomal dynamics is important for understanding many fundamental intra-nuclear processes. Efficient and reliable live-cell multicolor labeling of chromosomal loci can realize this goal. However, the current methods are constrained mainly by insufficient labeling throughput, efficiency, flexibility as well as photostability. Here we have developed a new approach to realize dual-color chromosomal loci imaging based on a modified single-guide RNA (sgRNA) of the CRISPR/Cas9 system. The modification of sgRNA was optimized by structure-guided engineering of the original sgRNA, consisting of RNA aptamer insertions that bind fluorescent protein-tagged effectors. By labeling and tracking telomeres, centromeres and genomic loci, we demonstrate that the new approach is easy to implement and enables robust dual-color imaging of genomic elements. Importantly, our data also indicate that the fast exchange rate of RNA aptamer binding effectors makes our sgRNA-based labeling method much more tolerant to photobleaching than the Cas9-based labeling method. This is crucial for continuous, long-term tracking of chromosomal dynamics. Lastly, as our method is complementary to other live-cell genomic labeling systems, it is therefore possible to combine them into a plentiful palette for the study of native chromatin organization and genome ultrastructure dynamics in living cells. PMID:26850639
Classical and quantum Kummer shape algebras
NASA Astrophysics Data System (ADS)
Odzijewicz, A.; Wawreniuk, E.
2016-07-01
We study a family of integrable systems of nonlinearly coupled harmonic oscillators on the classical and quantum levels. We show that the integrability of these systems follows from their symmetry characterized by algebras, here called Kummer shape algebras. The resolution of identity for a wide class of reproducing kernels is found. A number of examples, illustrating this theory, are also presented.
48 CFR 970.3002-1 - CAS applicability.
Code of Federal Regulations, 2014 CFR
2014-10-01
....3002-1 CAS applicability. The provisions of 48 CFR part 30 and 48 CFR chapter 99 (FAR Appendix) shall... 48 Federal Acquisition Regulations System 5 2014-10-01 2014-10-01 false CAS applicability. 970.3002-1 Section 970.3002-1 Federal Acquisition Regulations System DEPARTMENT OF ENERGY...
48 CFR 970.3002-1 - CAS applicability.
Code of Federal Regulations, 2013 CFR
2013-10-01
....3002-1 CAS applicability. The provisions of 48 CFR part 30 and 48 CFR chapter 99 (FAR Appendix) shall... 48 Federal Acquisition Regulations System 5 2013-10-01 2013-10-01 false CAS applicability. 970.3002-1 Section 970.3002-1 Federal Acquisition Regulations System DEPARTMENT OF ENERGY...
48 CFR 970.3002-1 - CAS applicability.
Code of Federal Regulations, 2012 CFR
2012-10-01
....3002-1 CAS applicability. The provisions of 48 CFR part 30 and 48 CFR chapter 99 (FAR Appendix) shall... 48 Federal Acquisition Regulations System 5 2012-10-01 2012-10-01 false CAS applicability. 970.3002-1 Section 970.3002-1 Federal Acquisition Regulations System DEPARTMENT OF ENERGY...
A dual AAV system enables the Cas9-mediated correction of a metabolic liver disease in newborn mice.
Yang, Yang; Wang, Lili; Bell, Peter; McMenamin, Deirdre; He, Zhenning; White, John; Yu, Hongwei; Xu, Chenyu; Morizono, Hiroki; Musunuru, Kiran; Batshaw, Mark L; Wilson, James M
2016-03-01
Many genetic liver diseases in newborns cause repeated, often lethal, metabolic crises. Gene therapy using nonintegrating viruses such as adeno-associated virus (AAV) is not optimal in this setting because the nonintegrating genome is lost as developing hepatocytes proliferate. We reasoned that newborn liver may be an ideal setting for AAV-mediated gene correction using CRISPR-Cas9. Here we intravenously infuse two AAVs, one expressing Cas9 and the other expressing a guide RNA and the donor DNA, into newborn mice with a partial deficiency in the urea cycle disorder enzyme, ornithine transcarbamylase (OTC). This resulted in reversion of the mutation in 10% (6.7-20.1%) of hepatocytes and increased survival in mice challenged with a high-protein diet, which exacerbates disease. Gene correction in adult OTC-deficient mice was lower and accompanied by larger deletions that ablated residual expression from the endogenous OTC gene, leading to diminished protein tolerance and lethal hyperammonemia on a chow diet.
A dual AAV system enables the Cas9-mediated correction of a metabolic liver disease in newborn mice
Yang, Yang; Wang, Lili; Bell, Peter; McMenamin, Deirdre; He, Zhenning; White, John; Yu, Hongwei; Xu, Chenyu; Morizono, Hiroki; Musunuru, Kiran; Batshaw, Mark L.; Wilson, James M.
2016-01-01
Many genetic liver diseases present in newborns with repeated, often lethal, metabolic crises. Gene therapy using non-integrating viruses such as AAV is not optimal in this setting because the non-integrating genome is lost as developing hepatocytes proliferate1,2. We reasoned that newborn liver may be an ideal setting for AAV-mediated gene correction using CRISPR/Cas9. Here we intravenously infuse two AAVs, one expressing Cas9 and the other expressing a guide RNA and the donor DNA, into newborn mice with a partial deficiency in the urea cycle disorder enzyme, ornithine transcarbamylase (OTC). This resulted in reversion of the mutation in 10% (6.7% – 20.1%) of hepatocytes and increased survival in mice challenged with a high-protein diet, which exacerbates disease. Gene correction in adult OTC-deficient mice was lower and accompanied by larger deletions that ablated residual expression from the endogenous OTC gene, leading to diminished protein tolerance and lethal hyperammonemia on a chow diet. PMID:26829317
Wang, Jing; Zhang, Haonan; Wang, Huidong; Zhao, Shan; Zuo, Yayun; Yang, Yihua; Wu, Yidong
2016-09-01
Cadherins have been identified as receptors of Bacillus thuringiensis (Bt) Cry1A toxins in several lepidopteran insects including the cotton bollworm, Helicoverpa armigera. Disruption of the cadherin gene HaCad has been genetically linked to resistance to Bt toxin Cry1Ac in H. armigera. By using the CRISPR/Cas9 genome editing system (Clustered Regularly Interspaced Short Palindromic Repeats/CRISPR-associated protein 9), HaCad from the Cry1Ac-susceptible SCD strain of H. armigera was successfully knocked out. A single positive CRISPR event with a frame shift deletion of 4 nucleotides was identified and made homozygous to create a knockout line named SCD-Cad. Western blotting confirmed that HaCad was no longer expressed in the SCD-Cad line while an intact HaCad of 210 kDa was present in the parental SCD strain. Insecticide bioassays were used to show that SCD-Cad exhibited 549-fold resistance to Cry1Ac compared with SCD, but no significant change in susceptibility to Cry2Ab. Our results not only provide strong reverse genetics evidence for HaCad as a functional receptor of Cry1Ac, but also demonstrate that the CRISPR/Cas9 technique can act as a powerful and efficient genome editing tool to study gene function in a global agricultural pest, H. armigera.
Wang, Jing; Zhang, Haonan; Wang, Huidong; Zhao, Shan; Zuo, Yayun; Yang, Yihua; Wu, Yidong
2016-09-01
Cadherins have been identified as receptors of Bacillus thuringiensis (Bt) Cry1A toxins in several lepidopteran insects including the cotton bollworm, Helicoverpa armigera. Disruption of the cadherin gene HaCad has been genetically linked to resistance to Bt toxin Cry1Ac in H. armigera. By using the CRISPR/Cas9 genome editing system (Clustered Regularly Interspaced Short Palindromic Repeats/CRISPR-associated protein 9), HaCad from the Cry1Ac-susceptible SCD strain of H. armigera was successfully knocked out. A single positive CRISPR event with a frame shift deletion of 4 nucleotides was identified and made homozygous to create a knockout line named SCD-Cad. Western blotting confirmed that HaCad was no longer expressed in the SCD-Cad line while an intact HaCad of 210 kDa was present in the parental SCD strain. Insecticide bioassays were used to show that SCD-Cad exhibited 549-fold resistance to Cry1Ac compared with SCD, but no significant change in susceptibility to Cry2Ab. Our results not only provide strong reverse genetics evidence for HaCad as a functional receptor of Cry1Ac, but also demonstrate that the CRISPR/Cas9 technique can act as a powerful and efficient genome editing tool to study gene function in a global agricultural pest, H. armigera. PMID:27343383
CRISPR-Cas9-guided Genome Engineering in C. elegans
Kim, Hyun-Min; Colaiácovo, Monica P.
2016-01-01
The CRISPR (clustered regularly interspaced short palindromic repeats)-Cas (CRISPR-associated) system is successfully being used for efficient and targeted genome editing in various organisms including the nematode C. elegans. Recent studies developed various CRISPR-Cas9 approaches to enhance genome engineering via two major DNA double-strand break repair pathways: non-homologous end joining and homologous recombination. Here we describe a protocol for Cas9-mediated C. elegans genome editing together with single guide RNA (sgRNA) and repair template cloning and injection methods required for delivering Cas9, sgRNAs and repair template DNA into the C. elegans germline. PMID:27366893
Statecharts Via Process Algebra
NASA Technical Reports Server (NTRS)
Luttgen, Gerald; vonderBeeck, Michael; Cleaveland, Rance
1999-01-01
Statecharts is a visual language for specifying the behavior of reactive systems. The Language extends finite-state machines with concepts of hierarchy, concurrency, and priority. Despite its popularity as a design notation for embedded system, precisely defining its semantics has proved extremely challenging. In this paper, a simple process algebra, called Statecharts Process Language (SPL), is presented, which is expressive enough for encoding Statecharts in a structure-preserving and semantic preserving manner. It is establish that the behavioral relation bisimulation, when applied to SPL, preserves Statecharts semantics
A Metric Conceptual Space Algebra
NASA Astrophysics Data System (ADS)
Adams, Benjamin; Raubal, Martin
The modeling of concepts from a cognitive perspective is important for designing spatial information systems that interoperate with human users. Concept representations that are built using geometric and topological conceptual space structures are well suited for semantic similarity and concept combination operations. In addition, concepts that are more closely grounded in the physical world, such as many spatial concepts, have a natural fit with the geometric structure of conceptual spaces. Despite these apparent advantages, conceptual spaces are underutilized because existing formalizations of conceptual space theory have focused on individual aspects of the theory rather than the creation of a comprehensive algebra. In this paper we present a metric conceptual space algebra that is designed to facilitate the creation of conceptual space knowledge bases and inferencing systems. Conceptual regions are represented as convex polytopes and context is built in as a fundamental element. We demonstrate the applicability of the algebra to spatial information systems with a proof-of-concept application.
Bevacqua, R J; Fernandez-Martín, R; Savy, V; Canel, N G; Gismondi, M I; Kues, W A; Carlson, D F; Fahrenkrug, S C; Niemann, H; Taboga, O A; Ferraris, S; Salamone, D F
2016-11-01
The recently developed engineered nucleases, such as zinc-finger nucleases, transcription activator-like effector nucleases, and clustered regularly interspaced short palindromic repeat (CRISPR)/CRISPR-associated nuclease (Cas) 9, provide new opportunities for gene editing in a straightforward manner. However, few reports are available regarding CRISPR application and efficiency in cattle. Here, the CRISPR/Cas9 system was used with the aim of inducing knockout and knock-in alleles of the bovine PRNP gene, responsible for mad cow disease, both in bovine fetal fibroblasts and in IVF embryos. Five single-guide RNAs were designed to target 875 bp of PRNP exon 3, and all five were codelivered with Cas9. The feasibility of inducing homologous recombination (HR) was evaluated with a reporter vector carrying EGFP flanked by 1 kbp PRNP regions (pHRegfp). For somatic cells, plasmids coding for Cas9 and for each of the five single-guide RNAs (pCMVCas9 and pSPgRNAs) were transfected under two different conditions (1X and 2X). For IVF zygotes, cytoplasmic injection was conducted with either plasmids or mRNA. For plasmid injection groups, 1 pg pCMVCas9 + 0.1 pg of each pSPgRNA (DNA2X) was used per zygote. In the case of RNA, two amounts (RNA1X and RNA2X) were compared. To assess the occurrence of HR, a group additionally cotransfected or coinjected with pHRegfp plasmid was included. Somatic cell lysates were analyzed by polymerase chain reaction and surveyor assay. In the case of embryos, the in vitro development and the genotype of blastocysts were evaluated by polymerase chain reaction and sequencing. In somatic cells, 2X transfection resulted in indels and large deletions of the targeted PRNP region. Regarding embryo injection, higher blastocyst rates were obtained for RNA injected groups (46/103 [44.6%] and 55/116 [47.4%] for RNA1X and RNA2X) than for the DNA2X group (26/140 [18.6%], P < 0.05). In 46% (26/56) of the total sequenced blastocysts, specific gene editing was
Bevacqua, R J; Fernandez-Martín, R; Savy, V; Canel, N G; Gismondi, M I; Kues, W A; Carlson, D F; Fahrenkrug, S C; Niemann, H; Taboga, O A; Ferraris, S; Salamone, D F
2016-11-01
The recently developed engineered nucleases, such as zinc-finger nucleases, transcription activator-like effector nucleases, and clustered regularly interspaced short palindromic repeat (CRISPR)/CRISPR-associated nuclease (Cas) 9, provide new opportunities for gene editing in a straightforward manner. However, few reports are available regarding CRISPR application and efficiency in cattle. Here, the CRISPR/Cas9 system was used with the aim of inducing knockout and knock-in alleles of the bovine PRNP gene, responsible for mad cow disease, both in bovine fetal fibroblasts and in IVF embryos. Five single-guide RNAs were designed to target 875 bp of PRNP exon 3, and all five were codelivered with Cas9. The feasibility of inducing homologous recombination (HR) was evaluated with a reporter vector carrying EGFP flanked by 1 kbp PRNP regions (pHRegfp). For somatic cells, plasmids coding for Cas9 and for each of the five single-guide RNAs (pCMVCas9 and pSPgRNAs) were transfected under two different conditions (1X and 2X). For IVF zygotes, cytoplasmic injection was conducted with either plasmids or mRNA. For plasmid injection groups, 1 pg pCMVCas9 + 0.1 pg of each pSPgRNA (DNA2X) was used per zygote. In the case of RNA, two amounts (RNA1X and RNA2X) were compared. To assess the occurrence of HR, a group additionally cotransfected or coinjected with pHRegfp plasmid was included. Somatic cell lysates were analyzed by polymerase chain reaction and surveyor assay. In the case of embryos, the in vitro development and the genotype of blastocysts were evaluated by polymerase chain reaction and sequencing. In somatic cells, 2X transfection resulted in indels and large deletions of the targeted PRNP region. Regarding embryo injection, higher blastocyst rates were obtained for RNA injected groups (46/103 [44.6%] and 55/116 [47.4%] for RNA1X and RNA2X) than for the DNA2X group (26/140 [18.6%], P < 0.05). In 46% (26/56) of the total sequenced blastocysts, specific gene editing was
I CAN Learn[R] Pre-Algebra and Algebra. What Works Clearinghouse Intervention Report
ERIC Educational Resources Information Center
What Works Clearinghouse, 2009
2009-01-01
The I CAN Learn[R] Education System is an interactive, self-paced, mastery-based software system that includes the I CAN Learn[R] Fundamentals of Math (5th-6th grade math) curriculum, the I CAN Learn[R] Pre-Algebra curriculum, and the I CAN Learn[R] Algebra curriculum. College algebra credit is also available to students in participating schools…
Difficulties in initial algebra learning in Indonesia
NASA Astrophysics Data System (ADS)
Jupri, Al; Drijvers, Paul; van den Heuvel-Panhuizen, Marja
2014-12-01
Within mathematics curricula, algebra has been widely recognized as one of the most difficult topics, which leads to learning difficulties worldwide. In Indonesia, algebra performance is an important issue. In the Trends in International Mathematics and Science Study (TIMSS) 2007, Indonesian students' achievement in the algebra domain was significantly below the average student performance in other Southeast Asian countries such as Thailand, Malaysia, and Singapore. This fact gave rise to this study which aims to investigate Indonesian students' difficulties in algebra. In order to do so, a literature study was carried out on students' difficulties in initial algebra. Next, an individual written test on algebra tasks was administered, followed by interviews. A sample of 51 grade VII Indonesian students worked the written test, and 37 of them were interviewed afterwards. Data analysis revealed that mathematization, i.e., the ability to translate back and forth between the world of the problem situation and the world of mathematics and to reorganize the mathematical system itself, constituted the most frequently observed difficulty in both the written test and the interview data. Other observed difficulties concerned understanding algebraic expressions, applying arithmetic operations in numerical and algebraic expressions, understanding the different meanings of the equal sign, and understanding variables. The consequences of these findings on both task design and further research in algebra education are discussed.
Recent Advances in Genome Editing Using CRISPR/Cas9
Ding, Yuduan; Li, Hong; Chen, Ling-Ling; Xie, Kabin
2016-01-01
The CRISPR (clustered regularly interspaced short palindromic repeat)-Cas9 (CRISPR-associated nuclease 9) system is a versatile tool for genome engineering that uses a guide RNA (gRNA) to target Cas9 to a specific sequence. This simple RNA-guided genome-editing technology has become a revolutionary tool in biology and has many innovative applications in different fields. In this review, we briefly introduce the Cas9-mediated genome-editing method, summarize the recent advances in CRISPR/Cas9 technology, and discuss their implications for plant research. To date, targeted gene knockout using the Cas9/gRNA system has been established in many plant species, and the targeting efficiency and capacity of Cas9 has been improved by optimizing its expression and that of its gRNA. The CRISPR/Cas9 system can also be used for sequence-specific mutagenesis/integration and transcriptional control of target genes. We also discuss off-target effects and the constraint that the protospacer-adjacent motif (PAM) puts on CRISPR/Cas9 genome engineering. To address these problems, a number of bioinformatic tools are available to help design specific gRNAs, and new Cas9 variants and orthologs with high fidelity and alternative PAM specificities have been engineered. Owing to these recent efforts, the CRISPR/Cas9 system is becoming a revolutionary and flexible tool for genome engineering. Adoption of the CRISPR/Cas9 technology in plant research would enable the investigation of plant biology at an unprecedented depth and create innovative applications in precise crop breeding. PMID:27252719
Learning Algebra in a Computer Algebra Environment
ERIC Educational Resources Information Center
Drijvers, Paul
2004-01-01
This article summarises a doctoral thesis entitled "Learning algebra in a computer algebra environment, design research on the understanding of the concept of parameter" (Drijvers, 2003). It describes the research questions, the theoretical framework, the methodology and the results of the study. The focus of the study is on the understanding of…
Han, Xin; Liu, Zongbin; Zhao, Li; Wang, Feng; Yu, Yang; Yang, Jianhua; Chen, Rui
2016-01-01
Herein we report a CRISPR-Cas9-mediated loss-of-function kinase screen for cancer cell deformability and invasive potential in a high-throughput microfluidic chip. In this microfluidic cell separation platform, flexible cells with high deformability and metastatic propensity flowed out, while stiff cells remained trapped. Through deep sequencing, we found that loss of certain kinases resulted in cells becoming more deformable and invasive. High-ranking candidates identified included well-reported tumor suppressor kinases, such as chk2, IKK-α, p38 MAPKs, and DAPK2. A high-ranking candidate STK4 was chosen for functional validation and identified to play an important role in the regulation of cell deformability and tumor suppression. Collectively, we have demonstrated that CRISPR-based on-chip mechanical screening is a potentially powerful strategy to facilitate systematic genetic analyses. PMID:27258939
Han, Xin; Liu, Zongbin; Zhao, Li; Wang, Feng; Yu, Yang; Yang, Jianhua; Chen, Rui; Qin, Lidong
2016-07-18
Herein we report a CRISPR-Cas9-mediated loss-of-function kinase screen for cancer cell deformability and invasive potential in a high-throughput microfluidic chip. In this microfluidic cell separation platform, flexible cells with high deformability and metastatic propensity flowed out, while stiff cells remained trapped. Through deep sequencing, we found that loss of certain kinases resulted in cells becoming more deformable and invasive. High-ranking candidates identified included well-reported tumor suppressor kinases, such as chk2, IKK-α, p38 MAPKs, and DAPK2. A high-ranking candidate STK4 was chosen for functional validation and identified to play an important role in the regulation of cell deformability and tumor suppression. Collectively, we have demonstrated that CRISPR-based on-chip mechanical screening is a potentially powerful strategy to facilitate systematic genetic analyses.
Moving frames and prolongation algebras
NASA Technical Reports Server (NTRS)
Estabrook, F. B.
1982-01-01
Differential ideals generated by sets of 2-forms which can be written with constant coefficients in a canonical basis of 1-forms are considered. By setting up a Cartan-Ehresmann connection, in a fiber bundle over a base space in which the 2-forms live, one finds an incomplete Lie algebra of vector fields in the fields in the fibers. Conversely, given this algebra (a prolongation algebra), one can derive the differential ideal. The two constructs are thus dual, and analysis of either derives properties of both. Such systems arise in the classical differential geometry of moving frames. Examples of this are discussed, together with examples arising more recently: the Korteweg-de Vries and Harrison-Ernst systems.
Elementary Algebra Connections to Precalculus
ERIC Educational Resources Information Center
Lopez-Boada, Roberto; Daire, Sandra Arguelles
2013-01-01
This article examines the attitudes of some precalculus students to solve trigonometric and logarithmic equations and systems using the concepts of elementary algebra. With the goal of enticing the students to search for and use connections among mathematical topics, they are asked to solve equations or systems specifically designed to allow…
NASA Technical Reports Server (NTRS)
Liu, Dahai; Goodrich, Ken; Peak, Bob
2006-01-01
This study investigated the effects of synthetic vision system (SVS) concepts and advanced flight controls on single pilot performance (SPP). Specifically, we evaluated the benefits and interactions of two levels of terrain portrayal, guidance symbology, and control-system response type on SPP in the context of lower-landing minima (LLM) approaches. Performance measures consisted of flight technical error (FTE) and pilot perceived workload. In this study, pilot rating, control type, and guidance symbology were not found to significantly affect FTE or workload. It is likely that transfer from prior experience, limited scope of the evaluation task, specific implementation limitations, and limited sample size were major factors in obtaining these results.
Cas9 Functionally Opens Chromatin.
Barkal, Amira A; Srinivasan, Sharanya; Hashimoto, Tatsunori; Gifford, David K; Sherwood, Richard I
2016-01-01
Using a nuclease-dead Cas9 mutant, we show that Cas9 reproducibly induces chromatin accessibility at previously inaccessible genomic loci. Cas9 chromatin opening is sufficient to enable adjacent binding and transcriptional activation by the settler transcription factor retinoic acid receptor at previously unbound motifs. Thus, we demonstrate a new use for Cas9 in increasing surrounding chromatin accessibility to alter local transcription factor binding. PMID:27031353
NASA Technical Reports Server (NTRS)
Iachello, Franco
1995-01-01
An algebraic formulation of quantum mechanics is presented. In this formulation, operators of interest are expanded onto elements of an algebra, G. For bound state problems in nu dimensions the algebra G is taken to be U(nu + 1). Applications to the structure of molecules are presented.
Profiles of Algebraic Competence
ERIC Educational Resources Information Center
Humberstone, J.; Reeve, R.A.
2008-01-01
The algebraic competence of 72 12-year-old female students was examined to identify profiles of understanding reflecting different algebraic knowledge states. Beginning algebraic competence (mapping abilities: word-to-symbol and vice versa, classifying, and solving equations) was assessed. One week later, the nature of assistance required to map…
Orientation in operator algebras
Alfsen, Erik M.; Shultz, Frederic W.
1998-01-01
A concept of orientation is relevant for the passage from Jordan structure to associative structure in operator algebras. The research reported in this paper bridges the approach of Connes for von Neumann algebras and ourselves for C*-algebras in a general theory of orientation that is of geometric nature and is related to dynamics. PMID:9618457