Spin Glasses and Biology

by Stein, Daniel L.

• ISBN13: 9789971505370
• ISBN10: 9971505371
• Format: Hardcover
• Copyright: 1992-06-01
• Publisher: World Scientific Pub Co

Table of Contents

Preface
Introduction	p. 1
The Physics of Neural Networks	p. 7
Basic Elements of Neural Network Models	p. 11
Basic Functions of Neural Network Models	p. 17
The Hopfield Model	p. 23
The Gardner Approach	p. 32
Hierarchically Correlated Data and Categorization	p. 40
Generalization	p. 46
Discussion - Issues of Relevance	p. 52
The Origins of Order: Self-Organization and Selection in Evolution	p. 61
Fitness Landscapes in Sequence Space	p. 66
The NK Model of Rugged Fitness Landscapes	p. 69
The Rank Order Statistics on K = N - 1 Random Landscapes	p. 78
Self-Organization in Prebiological Systems: A Model for the Origin of Genetic Information	p. 101
Biology and Information	p. 101
A Model for Self-Replicating Polymer Systems	p. 110
Some Numerical Results	p. 123
Conclusions	p. 137
Evolution of Species and Punctuated Equilibria: Genotypes, Phenotypes and Population Dynamics	p. 141
Robustness in Networks of Automata	p. 146
Evolution of Species	p. 150
Mathematical Models of Evolution on Rugged Landscapes	p. 159
A Model of Affinity Maturation	p. 161
Results	p. 164
Correlated Landscapes	p. 173
The Spin-Glass Analogy in Protein Dynamics	p. 179
Foreword: Just What Problem Are We Trying to Solve?	p. 179
What is a Spin Glass?	p. 180
What a Protein Glass Might Be	p. 184
Properties of Spin Glasses	p. 186
Spin Glasses and Elastic Orientational Glasses	p. 197
Spin Glasses and Proteins	p. 200
Spin Glass Ideas and the Protein Folding Problems	p. 225
Phenomenological Background for the Protein Folding Problem	p. 227
Spin Glasses and Protein Folding	p. 234
Sophisticated Theories of Heteropolymer Collapse as a Basis for the Statistical Protein Model	p. 244
Using Spin Glass Ideas in the Design of Protein Folding Algorithms	p. 250
Questions Raised by the Spin Glass Picture in the Protein Folding Problem	p. 255
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