This book is the first unified systemic description of dissipative phenomena, taking place in biology, and non-dissipative (conservative) phenomena, which is more relevant to physics. Fully updated and revised, this new edition extends our understanding of nonlinear phenomena in biology and physics from the extreme / optimal perspective.

Key Features

  • The first book to provide understanding of physical phenomena from a biological perspective and biological phenomena from a physical perspective
  • Discusses emerging fields and analysis
  • Provides examples



Researchers and students in biological, chemical, physical, and medical sciences.



Table of Contents


1. Extreme Energy Dissipation

1.1. Hierarchy of the Energy Transformation

1.2. Extreme Properties of Energy Dissipation

1.3. Optimal-Control-Based Framework for Dissipative Chemical Kinetics

1.4. Conclusions

2. Some General Optimal Control Problems Useful for Biokinetics

2.1. Extreme Dissipation, Optimal Control, and the Least Action Principle

2.2. Some One-Dimensional Examples of Biokinetics and Optimal Control

2.3. General Multidimensional Examples of the Introduction of Optimal Control into Biokinetics

2.4. Conclusions

3. Variational and the Optimal Control Models in Biokinetics

3.1. Optimal Control Model of Binding Cooperativity

3.2. Enzyme Kinetics and Optimal Control

3.3. Optimal Control, Variational Methods, and Multienzymatic Kinetics

3.4. Optimal Control in Hierarchical Biological Systems: Organism and Metabolic Hierarchy

4. Extreme Character of Evolution in Trophic Pyramid of Biological Systems and the Maximum Energy Dissipation/Least Action Principle

4.1. Acceleration of Dissipation in Molecular Processes is the Cause of Emergence of Trophic Pyramid of Biological Systems

4.2. Maximum Energy Dissipation Principle and Evolution of Biological Systems

4.3. The Pinnacle of Trophic Pyramid of Biological Systems—Symbiosis of Biological and Nonbiological Accelerating Loops: Technological Accelerating Loop

5. Phenomenological Cost and Penalty Interpretation of the Lagrange Formalism in Physics

5.1. Fusing Mechanics and Optimal Control

5.2. Finiteness of the Propagation Velocity of Physical Interactions and Physical Penalty

5.3. Phenomenology of the Nonmechanical Penalty for Free Fields

5.4. Internal Symmetry of the Physical Penalty

5.5. Physical Interactions and Penalty

5.6. Physical Evolution in Light of Maximum Energy Dissipat


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© 2012
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