Equations of Membrane Biophysics

Equations of Membrane Biophysics provides an introduction to the relevant principles of thermodynamics, kinetics, electricity, surface chemistry, electrochemistry, and other mathematical theorems so that the quantitative aspects of membrane phenomena in model and biological systems could be described. The book begins by introducing several phenomena that arise across membranes, both artificial and biological, when different driving forces act across them. This is followed by separate chapters on thermodynamic principles related to properties of dilute aqueous electrolyte solutions along with a review of the principles of electrostatics, electrochemical principles, Fick's laws of diffusion, and the rate theory of diffusion; the quantitative aspects of the electrochemistry of solutions and membranes, and the quantitative relations between charges and electrostatic potentials related to surfaces and interfaces; and membrane theories pertaining to electrical potentials arising across a variety of membranes. Subsequent chapters deal with steady-state thermodynamic approaches to several transport phenomena in membranes; tissue impedance, cable theory, and Hodgkin-Huxley equations; and fluctuation analysis of the electrical properties of the membrane.

Preface

Chapter 1 Introduction

References

Chapter 2 Basic Principles

I. Thermodynamic Concepts

II. Electrostatics

III. Physical and Electrochemical Principles

References

Chapter 3 Electrochemistry of Solutions and Membranes

I. The Debye-Hiickel Theory

II. Debye-Hiickel Theory and Activity Coefficients

III. Debye-Hiickel Theory and Electrolyte Conductance

IV. Distribution of Ions and Potential Differences at Interfaces

V. Electrokinetic Phenomena

VI. Donnan Equilibrium

VII. Donnan Equilibrium in Charged Membranes

VIII. Membrane Potential

IX. Some Applications of the Double-Layer Theory

X. Model-System Approach to Evaluation of Surface Charge Density

References

Chapter 4 Electrical Potentials across Membranes

I. Bi- and Multi-Ionic Potentials

II. Determination of Selectivity Coefficients Kpotij

III. Integration of Nernst-Planck Flux Equation

IV. Other Models

V. Liquid Membranes

VI. Thermodynamic Approach to Isothermal Membrane Potenti;

VII. Kinetic Approach to Membrane Potentials

References

Chapter 5 Kinetic Models of Membrane Transport

I. Equations of Enzyme Kinetics

II. Schematic Method of Deriving Rate Equations

III. Enzyme Kinetics of Mediated Transport

IV. Eyring Model for Membrane Permeation

V. Eyring Model and Biological Membranes

VI. Model for Lipid-Soluble Ions

VII. Model for Carriers of Small Ions

VIII. Models for Channel-Forming Ionophores

References

Chapter 6 Steady-State Thermodynamic Approach to Membrane Transport

I. Basic Principles

II. Electrical Parameters

III. Electrokinetic Phenomena

IV. Transport of a Solution of Nonelectrolyte across a Simple Membrane

V. Permeation of Electrolyte Solution through a Membrane

VI. Nature of Water Flow across Membranes

References

Chapter 7 Impedance, Cable Theory, and Hodgkinhuxley Equations

I. Impedance

II. Elements of the Cable Theory

III. Models to Relate Input Impedance to Electrical Cell Constants

IV. Hodgkin-Huxley Equations

References

Chapter 8 Fluctuation Analysis of the Electrical Properties of the Membrane

I. Nonmathematical Description of Noise Analysis

II. Statistical Concepts

III. Mathematical Preliminaries

IV. Spectral Density and Rayleigh's Theorem

V. Spectral Density and Source Impedance

VI. Filters

VII. Correlation Function and Spectra

VIII. Types of Noise Sources

References

Index