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Symmetrical analysis techniques for genetic systems and bioinformatics

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Mathematical and symmetrical analysis of the structure of molecular systems of genetic code has essential meaning for the bioinformatics, biomathematics, and biotechnology fields. Symmetrical Analysis Techniques for Genetic Systems and Bioinformatics: Advanced Patterns and Applications adds unique and novel value to the literature in these areas, compiling studies that demonstrate effective approaches to the structural analysis of genetic systems and bioinformatics. This groundbreaking reference advances the knowledge available to researchers, educators, and students about new mathematical methods and tools, phenomenological results and interdisciplinary connections in the fields of molecular genetics, bioinformatics, computer informatics, and mathematical and theoretical biology.

Author(s): Sergey Petoukhov, Matthew He, Sergey Petoukhov, Matthew He
Series: Premier Reference Source
Publisher: MISR
Year: 2010

Language: English
Pages: 290

Title
......Page 2
Table of Contents......Page 4
Preface......Page 9
Acknowledgment......Page 18
Genetic Code: Emergence of Symmetrical Pattern, Beginnings of Matrix Genetics......Page 20
Symmetries of the Degeneracy of the Vertebrate Mitochondrial Genetic Code in the Matrix Form......Page 50
Biological Evolution of Dialects of the Genetic Code......Page 69
Numeric Genomatrices of Hydrogen Bonds, the Golde nSection, Musical Harmony, and Aesthetic Feelings......Page 84
Genetic Code and Stochastic Matrices......Page 110
The Genetic Code, Hadamard Matrices, Noise Immunity, and Quantum Computers......Page 134
Genomatrices and the Genetic Octet Yin-Yang-Algebras......Page 151
The Evolution of the Genetic Code from the Viewpoint of the Genetic 8-Dimensional Yin-Yang-Algebra......Page 187
Multidimensional Numbers and the Genomatrices of Hydrogen Bonds......Page 212
Genetic System, Fibonacci Numbers, and Phyllotaxis Laws......Page 227
Physiological Cycles and Their Algebraic Models in Matrix Genetics......Page 241
Matrix Genetics and Culture......Page 267
About the Authors......Page 283
Index......Page 285