
Equations of Membrane Biophysics
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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
Product details
- No. of pages: 436
- Language: English
- Copyright: © Academic Press 1984
- Published: June 28, 1984
- Imprint: Academic Press
- eBook ISBN: 9781483272160
About the Author
N Lakshminarayanaiah
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