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.

Table of Contents:
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