Mathematics of Bioinformatics: Theory, Methods and Applications

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John Wiley & Sons, Mar 16, 2011 - Computers - 298 pages
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.
 

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Contents

Bioinformatics and Mathematics
1
Genetic Codes Matrices and Symmetrical Techniques
24
Golden Section
41
Biological Sequences Sequence Alignment and Statistics
63
Structures of DNA and Knot Theory
89
Protein Structures Geometry and Topology
112
Biological Networks and Graph Theory
136
Biological Systems Fractals and Systems Biology
157
Matrix Genetics Hadamard Matrices and Algebraic Biology
180
Informatics
229
Evolutionary Trends and Central Dogma of Informatics
249
Bioinformatics Notation and Databases
262
Bioinformatics and Genetics Time Line
268
Index
297
Copyright

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About the author (2011)

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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