Mathematics of Bioinformatics / Wiley Series in Bioinformatics Bd.1 (ePub)

Preface. About the Authors. 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. 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. 3. Biological Sequences, 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. 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. 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. 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. 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. 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. 9. Bioinformatics,

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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