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Mathematics of bioinformatics : theory, practice, and applications

Author: Matthew He; Sergey Petukhov
Publisher: Hoboken, N.J. : Wiley-Interscience, 2011
Series: Wiley series in bioinformatics
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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  Read more...
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Document Type: Book
All Authors / Contributors: Matthew He; Sergey Petukhov
ISBN: 9780470404430 0470404434
OCLC Number: 768096382
Notes: Chapter 1. Bioinformatics and Mathematics. 1.1 Introduction. 1.2 Genetic Code and Mathematics. 1.3 Mathematical Background. 1.4 Converting Data to Knowledge. 1.5 Big Picture: Informatics. 1.6 Challenges and Perspectives. References. Chapter 2. Genetic Codes, Matrices, and Symmetrical Techniques. 2.1 Introduction. 2.2 Matrix Theory and Symmetry Preliminaries. 2.3 Genetic Codes and Matrices. 2.4 Genetic Matrices, Hydrogen Bonds and the Golden Section. 2.5 Symmetrical Patterns, Molecular Genetics and Bioinformatics. 2.6 Challenges and Perspectives. References. Chapter 3. Biological, Sequence Alignment, and Statistics. 3.1 Introduction. 3.2 Mathematical Sequences. 3.3 Sequence Alignment. 3.4 Sequence Analysis and Further Discussions. 3.5 Challenges and Perspectives. References.
Chapter 4. Structures of DNA and Knot Theory. 4.1 Introduction. 4.2 Knot Theory Preliminaries. 4.3 DNA Knots and Links. 4.4 Challenges and Perspectives. References. Chapter 5. Protein Structures, Geometry, and Topology. 5.1 Introduction. 5.2 Computational Geometry and Topology Preliminaries. 5.3 Protein Structures and Prediction. 5.4 Statistical Approach and Discussions. 5.5 Challenges and Perspectives. References. Chapter 6. Biological Networks and Graph Theory. 6.1 Introduction. 6.2 Graph Theory Preliminaries and Network Topology. 6.3 Models of Biological Networks. 6.4 Challenges and Perspectives. References.
Chapter 7. Biological Systems, Fractals, and Systems Biology. 7.1 Introduction. 7.2 Fractal Geometry Preliminaries. 7.3 Fractal Geometry in Biological Systems. 7.4 Systems Biology and Perspectives. 7.5 Challenges and Perspectives. References. Chapter 8. Matrix Genetics, Hadamard Matrix, and Algebraic Biology. 8.1 Introduction. 8.2 Genetic Matrices and the Degeneracy of the Genetic Code. 8.3 The Genetic Code and Hadamard Matrices. 8.4 Genetic Matrices and Matrices of Hypercomplex Numbers. 8.5 Some Rules of Evolution of Variants of the Genetic Code. 8.6 Challenges and Perspectives. References. Chapter 9. Bioinformatics, Living Systems and Cognitive Informatics. 9.1 Introduction. 9.2 Emerging Pattern, Dissipative Structure, and Evolving Cognition. 9.3 Denotational Mathematics and Cognitive Computing. 9.4 Challenges and Perspectives. References. Chapter 10. The Evolutionary Trends and Central Dogma of Informatics. 10.1 Introduction. 10.2 Evolutionary Trends of Information Sciences. 10.3 Central Dogma of Informatics. 10.4 Challenges and Perspectives. References
Description: xvi, 298 s. : ill
Contents: Chapter 1. Bioinformatics and Mathematics --
1.1 Introduction --
1.2 Genetic Code and Mathematics --
1.3 Mathematical Background --
1.4 Converting Data to Knowledge --
1.5 Big Picture: Informatics --
1.6 Challenges and Perspectives --
References --
Chapter 2. Genetic Codes, Matrices, and Symmetrical Techniques --
2.1 Introduction --
2.2 Matrix Theory and Symmetry Preliminaries --
2.3 Genetic Codes and Matrices --
2.4 Genetic Matrices, Hydrogen Bonds and the Golden Section --
2.5 Symmetrical Patterns, Molecular Genetics and Bioinformatics --
2.6 Challenges and Perspectives --
References --
Chapter 3. Biological, Sequence Alignment, and Statistics --
3.1 Introduction --
3.2 Mathematical Sequences --
3.3 Sequence Alignment --
3.4 Sequence Analysis and Further Discussions --
3.5 Challenges and Perspectives --
References. Chapter 4. Structures of DNA and Knot Theory --
4.1 Introduction --
4.2 Knot Theory Preliminaries --
4.3 DNA Knots and Links --
4.4 Challenges and Perspectives --
References --
Chapter 5. Protein Structures, Geometry, and Topology --
5.1 Introduction --
5.2 Computational Geometry and Topology Preliminaries --
5.3 Protein Structures and Prediction --
5.4 Statistical Approach and Discussions --
5.5 Challenges and Perspectives --
References --
Chapter 6. Biological Networks and Graph Theory --
6.1 Introduction --
6.2 Graph Theory Preliminaries and Network Topology --
6.3 Models of Biological Networks --
6.4 Challenges and Perspectives --
References. Chapter 7. Biological Systems, Fractals, and Systems Biology --
7.1 Introduction --
7.2 Fractal Geometry Preliminaries --
7.3 Fractal Geometry in Biological Systems --
7.4 Systems Biology and Perspectives --
7.5 Challenges and Perspectives --
References --
Chapter 8. Matrix Genetics, Hadamard Matrix, and Algebraic Biology --
8.1 Introduction --
8.2 Genetic Matrices and the Degeneracy of the Genetic Code --
8.3 The Genetic Code and Hadamard Matrices --
8.4 Genetic Matrices and Matrices of Hypercomplex Numbers --
8.5 Some Rules of Evolution of Variants of the Genetic Code --
8.6 Challenges and Perspectives --
References --
Chapter 9. Bioinformatics, Living Systems and Cognitive Informatics --
9.1 Introduction --
9.2 Emerging Pattern, Dissipative Structure, and Evolving Cognition --
9.3 Denotational Mathematics and Cognitive Computing --
9.4 Challenges and Perspectives --
References --
Chapter 10. The Evolutionary Trends and Central Dogma of Informatics --
10.1 Introduction --
10.2 Evolutionary Trends of Information Sciences --
10.3 Central Dogma of Informatics --
10.4 Challenges and Perspectives --
References.
Series Title: Wiley series in bioinformatics
Responsibility: Matthew He, Sergey Petoukhov

Abstract:

The mathematical analysis of the structures of molecular systems has essential meaning for bioinformatics, biomathematics, and biotechnology. This book covers the connection and integration between  Read more...

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