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Kinetics of Transition Processes in Living Systems - Load, Adaptation, Stability
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E . Z. Rabinovich
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Chapters in this book
- Frontmatter I
- Monograph V
- Dedication VII
- Preface IX
- Contents XIII
-
I . General Problems of Statistical Nonequilibrium Thermodynamics
- Statistical Thermodynamics of Nonlinear Irreversible Processes 3
- Thermodynamical Approach to the Analysis of Statistical Properties of Nonlinear Dynamic Systems 19
- The Problem of Entropy Increase and Stability of Motion in Quantum Mechanics 35
- On the Relation Between the H-Theorem and the Principle of Minimum Entropy Production 55
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II. The Phase Transition and Nonequilibrium Fluctuations
- Nonequilibrium Phase Transitions in Chemical Systems 75
- Synergetics. Nonequilibrium Phase Transitions and Selforganization in Biological Systems 105
- Brownian Motion in Autooscillation Systems and in Phase Transition Processes 125
- Nonequilibrium Fluctuations and Irreversible Processes Far from Thermal Equilibrium 151
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III. Kinetic Equations
- Generalized Fokker-Planck Equation in the Theory of Irreversible Processes 169
- The Diffusion Approximation for Markov Processes 181
- Extremal Principles and Catastrophe Theory for Stochastic Models of Nonlinear Irreversible Processes 197
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IV. The Problem of Phenomenological Nonequilibrium Thermodynamics
- Irreversible Thermodynamics far from Equilibrium 219
- On the Structuring of Thermodynamic Fluxes: A Direct Implementation of the Dissipation Inequality 239
- Axiomatic Models of Phenomenological Thermodynamics 255
- Axiomatic Approach to Irreversible Thermodynamics and Variational Principles 265
- The Second Lyapunov Method and The Variational Principle 279
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V. Ecology and Populations
- The Rate of Correlation Decay in One-Dimensional Ecological Models 297
- Kinetics and Nonequilibrium Processes and Ecology 309
- Mathematical Modelling of Biocenosis on the Basis of Haldane-Semevsky Principle 315
- Natural Selection and Optimality Principles 325
- Statistical Thermodynamic Model of Stationary Population 337
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VI. Reaction of Organisms to External Factors
- Effects of External Influences on the Types of Transition Processes Observed in the Energy Metabolism of Organisms 347
- Rate of Temperature Adaptation of Respiratory Metabolism in Soil Invertebrates 359
- Relationship Between Maximal Metabolism, Body Weight and Standard Metabolism of Animals 369
- Kinetics of Transition Processes in Living Systems - Load, Adaptation, Stability 387
- Dynamic Characteristics of Heat and Water Exchange in Man 397
- Relation of Stimuli Controlling Lung Ventilation During Transient and Stable Periods of Exercise 413
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VII. Ontogenesis
- Kinetics of Constitutive Processes During Development and Growth of Organisms 423
- Stochastic Description of Growth and Aging in Animals 437
- Thermodynamic Estimation of Development and Growth of Microorganisms 445
- Transition Process in Ontogenesis as a Characteristics of Changes in the Stability of Animals to External Influences 453
- On Specific Peculiarities of Transition Processes in Ontogenesis of Mammals 461
- Stable Orbitals and Transition Processes in the Models of Biological Systems 473
- Concluding Remarks 485
- References 489
- Index 531
Chapters in this book
- Frontmatter I
- Monograph V
- Dedication VII
- Preface IX
- Contents XIII
-
I . General Problems of Statistical Nonequilibrium Thermodynamics
- Statistical Thermodynamics of Nonlinear Irreversible Processes 3
- Thermodynamical Approach to the Analysis of Statistical Properties of Nonlinear Dynamic Systems 19
- The Problem of Entropy Increase and Stability of Motion in Quantum Mechanics 35
- On the Relation Between the H-Theorem and the Principle of Minimum Entropy Production 55
-
II. The Phase Transition and Nonequilibrium Fluctuations
- Nonequilibrium Phase Transitions in Chemical Systems 75
- Synergetics. Nonequilibrium Phase Transitions and Selforganization in Biological Systems 105
- Brownian Motion in Autooscillation Systems and in Phase Transition Processes 125
- Nonequilibrium Fluctuations and Irreversible Processes Far from Thermal Equilibrium 151
-
III. Kinetic Equations
- Generalized Fokker-Planck Equation in the Theory of Irreversible Processes 169
- The Diffusion Approximation for Markov Processes 181
- Extremal Principles and Catastrophe Theory for Stochastic Models of Nonlinear Irreversible Processes 197
-
IV. The Problem of Phenomenological Nonequilibrium Thermodynamics
- Irreversible Thermodynamics far from Equilibrium 219
- On the Structuring of Thermodynamic Fluxes: A Direct Implementation of the Dissipation Inequality 239
- Axiomatic Models of Phenomenological Thermodynamics 255
- Axiomatic Approach to Irreversible Thermodynamics and Variational Principles 265
- The Second Lyapunov Method and The Variational Principle 279
-
V. Ecology and Populations
- The Rate of Correlation Decay in One-Dimensional Ecological Models 297
- Kinetics and Nonequilibrium Processes and Ecology 309
- Mathematical Modelling of Biocenosis on the Basis of Haldane-Semevsky Principle 315
- Natural Selection and Optimality Principles 325
- Statistical Thermodynamic Model of Stationary Population 337
-
VI. Reaction of Organisms to External Factors
- Effects of External Influences on the Types of Transition Processes Observed in the Energy Metabolism of Organisms 347
- Rate of Temperature Adaptation of Respiratory Metabolism in Soil Invertebrates 359
- Relationship Between Maximal Metabolism, Body Weight and Standard Metabolism of Animals 369
- Kinetics of Transition Processes in Living Systems - Load, Adaptation, Stability 387
- Dynamic Characteristics of Heat and Water Exchange in Man 397
- Relation of Stimuli Controlling Lung Ventilation During Transient and Stable Periods of Exercise 413
-
VII. Ontogenesis
- Kinetics of Constitutive Processes During Development and Growth of Organisms 423
- Stochastic Description of Growth and Aging in Animals 437
- Thermodynamic Estimation of Development and Growth of Microorganisms 445
- Transition Process in Ontogenesis as a Characteristics of Changes in the Stability of Animals to External Influences 453
- On Specific Peculiarities of Transition Processes in Ontogenesis of Mammals 461
- Stable Orbitals and Transition Processes in the Models of Biological Systems 473
- Concluding Remarks 485
- References 489
- Index 531