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Thermodynamic Network Analysis of Biological Systems

The first edition of this book was greeted with broad interest from readers en­ gaged in various disciplines of biophysics. I received many stimulating and en­ couraging responses, however, some of the book's reviewers wanted to stress the fact that an extensive literature of network theory was...

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Bibliographic Details
Main Author: Schnakenberg, J.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1981, 1981
Edition:2nd ed. 1981
Series:Universitext
Subjects:
Complex Systems
Thermodynamics
System Theory
Mathematical Physics
Biophysics
Theoretical, Mathematical And Computational Physics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1. Introduction
  • 2. Models
  • 2.1 The Purpose and Nature of Models
  • 2.2 Enzyme-Catalyzed Reactions and the Michaelis-Menten Kinetics
  • 2.3 Transport Across Membranes: A Black-Box Approach
  • 2.4 Excitation of the Nervous Membrane: Hodgkin-Huxley Equations
  • 2.5 A Cooperative Model for Nerve Excitation
  • 2.6 The Volterra-Lotka Model
  • 2.7 A Model for the Control of Metabolic Reaction Chains
  • 3. Thermodynamics
  • 3.1 Thermodynamics Systems
  • 3.2 The First Law of Thermodynamics
  • 3.3 The Second Law of Thermodynamics
  • 3.4 Temperature and Transfer of Heat
  • 3.5 Chemical Potential and the Transfer of Matter
  • 3.6 Chemical Reactions
  • 3.7 Some Basic Relations of Equilibrium Thermodynamics
  • 3.8 Perfect Gases and Ideal Mixtures
  • 3.9 Linear Irreversible Thermodynamics
  • 4. Networks
  • 4.1 Network Language and Its Processes
  • 4.2 Storage Elements: Generalized Capacitances
  • 4.3 Kirchhoff’s Current Law and the 0-Junction
  • 4.4 Unimolecular Reactions
  • 4.5 Higher-Order Reactions, Kirchhoff’s Voltage Law and the 1-Junction
  • 4.6 Diffusion
  • 5. Networks for Transport Across Membranes
  • 5.1 Pore Models
  • 5.2 Pore Blocking
  • 5.3 Self-Blocking of Pores
  • 5.4 Carrier Models
  • 5.5 Active Transport
  • 5.6 Hodgkin-Huxley Equations and the Coupling of Material and Electric Flux
  • 5.7 Nernst-Planck Equations
  • 5.8 The Photoreceptor Potential
  • 6. Feedback Networks
  • 6.1 Autocatalytic Feedback Loops
  • 6.2 An Autocatalytic Excitation Model
  • 6.3 Networks of A1-Elements
  • 6.4 Limit Cycle Networks
  • 7. Stability
  • 7.1 Capacitances as Thermodynamic Equilibrium Systems
  • 7.2 Stability of the Equilibrium State
  • 7.3 Tellegen’s Theorem and Liapunov Stability of the Equilibrium
  • 7.4 Glansdorff-Prigogine Criterion for the Stability of Nonequilibrium Steady States
  • 7.5 Uniqueness of SteadyStates
  • 7.6 Globally and Asymptotically Stable Networks
  • 7.7 Global Stability Techniques
  • References

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