Mathematics of bioinformatics: theory, practice, and applications
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Hoboken, NJ
Wiley
2011
|
| Series: | Wiley series on bioinformatics: Computational techniques and engineering
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "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"-- Provided by publisher. Includes bibliographical references and index |
| Physical Description: | XVI, 298 S. Ill., graph. Darst. |
| ISBN: | 9780470404430 |
Staff View
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Record in the Search Index
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| adam_text | MATHEMATICS OF
BIOINFORMATICS
Theory, Practice, and Applications
Matthew He
Sergey Petoukhov
WILEY
A JOHN WILEY amp; SONS, INC , PUBLICATION
CONTENTS
Preface ix
About the Authors xiv
1 Bioinformatics and Mathematics 1
1 1 Introduction 2
1 2 Genetic Code and Mathematics 6
1 3 Mathematical Background 10
1 4 Converting Data to Knowledge 18
1 5 The Big Picture: Informatics 18
1 6 Challenges and Perspectives 21
References 22
2 Genetic Codes, Matrices, and Symmetrical Techniques 24
2 1 Introduction 25
2 2 Matrix Theory and Symmetry Preliminaries 28
2 3 Genetic Codes and Matrices 29
2 4 Genetic Matrices, Hydrogen Bonds, and the
Golden Section 41
2 5 Symmetrical Patterns, Molecular Genetics, and
Bioinformatics 49
2 6 Challenges and Perspectives 53
References 55
3 Biological Sequences, Sequence Alignment, and Statistics 63
3 1 Introduction 63
3 2 Mathematical Sequences 64
3 3 Sequence Alignment 66
3 4 Sequence Analysis and Further Discussion 81
3 5 Challenges and Perspectives 85
References 87
4 Structures of DNA and Knot Theory 89
4 1 Introduction 89
4 2 Knot Theory Preliminaries 92
ri CONTENTS
4 3 DNA Knots and Links 102
4 4 Challenges and Perspectives 105
References 110
5 Protein Structures, Geometry, and Topology 112
5 1 Introduction 112
5 2 Computational Geometry and Topology
Preliminaries 113
5 3 Protein Structures and Prediction 117
5 4 Statistical Approach and Discussion 130
5 5 Challenges and Perspectives 132
References 133
6 Biological Networks and Graph Theory 136
6 1 Introduction 136
6 2 Graph Theory Preliminaries and Network
Topology 137
6 3 Models of Biological Networks 148
6 4 Challenges and Perspectives 152
References 155
7 Biological Systems, Fractals, and Systems Biology 157
7 1 Introduction 157
7 2 Fractal Geometry Preliminaries 159
7 3 Fractal Geometry in Biological Systems 162
7 4 Systems Biology 174
7 5 Challenges and Perspectives 174
References 177
8 Matrix Genetics, Hadamard Matrices, and Algebraic Biology 180
8 1 Introduction 180
8 2 Genetic Matrices and the Degeneracy of the Genetic
Code 181
8 3 The Genetic Code and Hadamard Matrices 194
8 4 Genetic Matrices and Matrix Algebras of
Hypercomplex Numbers 201
8 5 Some Rules of Evolution of Variants of the Genetic
Code 214
8 6 Challenges and Perspectives 224
References 226
CONTENTS vii
9 Bioinformatics, Denotational Mathematics, and Cognitive
Informatics 229
9 1 Introduction 229
9 2 Emerging Pattern, Dissipative Structure, and
Evolving Cognition 234
9 3 Denotational Mathematics and Cognitive
Computing 238
9 4 Challenges and Perspectives 242
References 246
10 Evolutionary Trends and Central Dogma of Informatics 249
10 1 Introduction 249
10 2 Evolutionary Trends of Information Sciences 251
10 3 Central Dogma of Informatics 253
10 4 Challenges and Perspectives 258
References 259
Appendix A: Bioinformatics Notation and Databases 262
Appendix B: Bioinformatics and Genetics Time Line 268
Appendix C: Bioinformatics Glossary 270
Index 297
|
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| discipline | Biologie Informatik Mathematik |
| format | Book |
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| indexdate | 2024-07-10T00:06:18Z |
| institution | BVB |
| isbn | 9780470404430 |
| language | English |
| lccn | 2010042174 |
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| physical | XVI, 298 S. Ill., graph. Darst. |
| publishDate | 2011 |
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| spelling | He, Matthew 1959- Verfasser (DE-588)139896120 aut Mathematics of bioinformatics theory, practice, and applications Matthew He ; Sergey Petoukhov Hoboken, NJ Wiley 2011 XVI, 298 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wiley series on bioinformatics: Computational techniques and engineering "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"-- Provided by publisher. Includes bibliographical references and index Biomathematics Bioinformatics Computational biology COMPUTERS / Bioinformatics bisacsh Bioinformatik (DE-588)4611085-9 gnd rswk-swf Biomathematik (DE-588)4139408-2 gnd rswk-swf Bioinformatik (DE-588)4611085-9 s Biomathematik (DE-588)4139408-2 s b DE-604 Petoukhov, Sergey 1946- Verfasser (DE-588)139896058 aut HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024412399&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | He, Matthew 1959- Petoukhov, Sergey 1946- Mathematics of bioinformatics theory, practice, and applications Biomathematics Bioinformatics Computational biology COMPUTERS / Bioinformatics bisacsh Bioinformatik (DE-588)4611085-9 gnd Biomathematik (DE-588)4139408-2 gnd |
| subject_GND | (DE-588)4611085-9 (DE-588)4139408-2 |
| title | Mathematics of bioinformatics theory, practice, and applications |
| title_auth | Mathematics of bioinformatics theory, practice, and applications |
| title_exact_search | Mathematics of bioinformatics theory, practice, and applications |
| title_full | Mathematics of bioinformatics theory, practice, and applications Matthew He ; Sergey Petoukhov |
| title_fullStr | Mathematics of bioinformatics theory, practice, and applications Matthew He ; Sergey Petoukhov |
| title_full_unstemmed | Mathematics of bioinformatics theory, practice, and applications Matthew He ; Sergey Petoukhov |
| title_short | Mathematics of bioinformatics |
| title_sort | mathematics of bioinformatics theory practice and applications |
| title_sub | theory, practice, and applications |
| topic | Biomathematics Bioinformatics Computational biology COMPUTERS / Bioinformatics bisacsh Bioinformatik (DE-588)4611085-9 gnd Biomathematik (DE-588)4139408-2 gnd |
| topic_facet | Biomathematics Bioinformatics Computational biology COMPUTERS / Bioinformatics Bioinformatik Biomathematik |
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