Mathematics of Bioinformatics Theory, Methods and Applications [Hardcover]

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.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.