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E-raamat: Mathematics of Bioinformatics: Theory, Methods and Applications

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(Russian Academy of Sciences, Moscow), Series edited by (Department of Computer Science, Georgia State University), Series edited by (University of Western Australia), (Nova Southeastern University, FL)
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"Mathematics of Bioinformatics: Theory, Methods, and Applications provides a comprehensive format for connecting and integrating information derived from mathematical methods and applying it to the understanding of biological sequences, structures, and networks. Each chapter is divided into a number of sections based on the bioinformatics topics and related mathematical theory and methods. Each topic of the section is comprised of the following three parts: an introduction to the biological problems in bioinformatics; a presentation of relevant topics of mathematical theory and methods to the bioinformatics problems introduced in the first part; an integrative overview that draws the connections and interfaces between bioinformatics problems/issues and mathematical theory/methods/applications"--

Provided by publisher.

Mathematics of Bioinformatics: Theory, Methods, and Applications provides a comprehensive format for connecting and integrating information derived from mathematical methods and applying it to the understanding of biological sequences, structures, and networks. Each chapter is divided into a number of sections based on the bioinformatics topics and related mathematical theory and methods. Each topic of the section is comprised of the following three parts: an introduction to the biological problems in bioinformatics; a presentation of relevant topics of mathematical theory and methods to the bioinformatics problems introduced in the first part; an integrative overview that draws the connections and interfaces between bioinformatics problems/issues and mathematical theory/methods/applications.

Arvustused

 

Preface ix
About the Authors xiv
1 Bioinformatics and Mathematics
1(23)
1.1 Introduction
2(4)
1.2 Genetic Code and Mathematics
6(4)
1.3 Mathematical Background
10(8)
1.4 Converting Data to Knowledge
18(1)
1.5 The Big Picture: Informatics
18(3)
1.6 Challenges and Perspectives
21(3)
References
22(2)
2 Genetic Codes, Matrices, and Symmetrical Techniques
24(39)
2.1 Introduction
25(3)
2.2 Matrix Theory and Symmetry Preliminaries
28(1)
2.3 Genetic Codes and Matrices
29(12)
2.4 Genetic Matrices, Hydrogen Bonds, and the Golden Section
41(8)
2.5 Symmetrical Patterns, Molecular Genetics, and Bioinformatics
49(4)
2.6 Challenges and Perspectives
53(10)
References
55(8)
3 Biological Sequences, Sequence Alignment, and Statistics
63(26)
3.1 Introduction
63(1)
3.2 Mathematical Sequences
64(2)
3.3 Sequence Alignment
66(15)
3.4 Sequence Analysis and Further Discussion
81(4)
3.5 Challenges and Perspectives
85(4)
References
87(2)
4 Structures of DNA and Knot Theory
89(23)
4.1 Introduction
89(3)
4.2 Knot Theory Preliminaries
92(10)
4.3 DNA Knots and Links
102(3)
4.4 Challenges and Perspectives
105(7)
References
110(2)
5 Protein Structures, Geometry, and Topology
112(24)
5.1 Introduction
112(1)
5.2 Computational Geometry and Topology Preliminaries
113(4)
5.3 Protein Structures and Prediction
117(13)
5.4 Statistical Approach and Discussion
130(2)
5.5 Challenges and Perspectives
132(4)
References
133(3)
6 Biological Networks and Graph Theory
136(21)
6.1 Introduction
136(1)
6.2 Graph Theory Preliminaries and Network Topology
137(11)
6.3 Models of Biological Networks
148(4)
6.4 Challenges and Perspectives
152(5)
References
155(2)
7 Biological Systems, Fractals, and Systems Biology
157(23)
7.1 Introduction
157(2)
7.2 Fractal Geometry Preliminaries
159(3)
7.3 Fractal Geometry in Biological Systems
162(12)
7.4 Systems Biology
174(1)
7.5 Challenges and Perspectives
174(6)
References
177(3)
8 Matrix Genetics, Hadamard Matrices, and Algebraic Biology
180(49)
8.1 Introduction
180(1)
8.2 Genetic Matrices and the Degeneracy of the Genetic Code
181(13)
8.3 The Genetic Code and Hadamard Matrices
194(7)
8.4 Genetic Matrices and Matrix Algebras of Hypercomplex Numbers
201(13)
8.5 Some Rules of Evolution of Variants of the Genetic Code
214(10)
8.6 Challenges and Perspectives
224(5)
References
226(3)
9 Bioinformatics, Denotational Mathematics, and Cognitive Informatics
229(20)
9.1 Introduction
229(5)
9.2 Emerging Pattern, Dissipative Structure, and Evolving Cognition
234(4)
9.3 Denotational Mathematics and Cognitive Computing
238(4)
9.4 Challenges and Perspectives
242(7)
References
246(3)
10 Evolutionary Trends and Central Dogma of Informatics
249(13)
10.1 Introduction
249(2)
10.2 Evolutionary Trends of Information Sciences
251(2)
10.3 Central Dogma of Informatics
253(5)
10.4 Challenges and Perspectives
258(4)
References
259(3)
Appendix A Bioinformatics Notation and Databases 262(6)
Appendix B Bioinformatics and Genetics Time Line 268(2)
Appendix C Bioinformatics Glossary 270(27)
Index 297
Matthew He, PhD, is Full Professor and Director of the Division of Math, Science, and Technology of Nova Southeastern University, Florida. He is Full Professor and Grand PhD from the World Information Distributed University, Belgium, since 2004. Dr. He has published more than 100 research papers in mathematics, computer science, information theory, and bioinformatics, and is an editor of both International Journal of Biological Systems and International Journal of Cognitive Informatics and Natural Intelligence. Sergey Petoukhov, PhD, is a chief scientist of the Department of Biomechanics, Mechanical Engineering Research Institute of the Russian Academy of Sciences, Moscow, as well as Full Professor and Grand PhD from the World Information Distributed University. He has published more than 150 research papers in biomechanics, bioinformatics, mathematical and theoretical biology, the theory of symmetries and its applications, and mathematics.
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