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Electrogenesis of BioPotentials in the Cardiovascular System : Mathematics and Its Applications - Nicholas Sperelakis

Electrogenesis of BioPotentials in the Cardiovascular System

Mathematics and Its Applications

Hardcover Published: December 2009
ISBN: 9780792333982
Number Of Pages: 364

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In 1979 Dr Sperelakis published the 'Origin of the Cardiac Resting Potential' in the Handbook of Physiology of the Heart. Since that time, many investigators and teachers of membrane biophysics have used this article as a source of reference on the fundamental principles and equations describing the factors that establish the resting potential in excitable and non-excitable cells. Professor Sperelakis has expanded the scope of this article to provide the present book, creating a comprehensive work and an invaluable reference on the electrophysiological concepts underlying cellular excitability. There has long been a need for a text which precisely defines the assumptions underlying the derivations and equations that describe the principles of electrical excitability and maintenance of ion gradients in excitable cells. Here, Professor Sperelakis not only defines the equations and underlying concepts of membrane potentials, but gives working examples of solutions, thus allowing investigators to utilize the fundamental principles in their research, and students of membrane physiology to establish a sound basis of electrophysiological theory. 'I have used the 'Origin of the Cardiac Resting Potential' in graduate courses on cell physiology and biophysics, and look forward to using this new book. The time and effort required to put this work together reflects the dedication of Dr Sperelakis to the field of membrane biophysics and electrophysiology in his long, productive career.' From the Foreword by Dr David R. Harder.

Membranes and Electricityp. 1
Appendix I: Review of Electricity and Cable Parametersp. 18
Ion Distributions and Ion Pumpsp. 61
Ca[superscript 2+]/Na[superscript +] Exchange Reactionp. 86
Appendix III: Derivation of Ca/Na Exchange Distribution Ratiop. 112
Diffusion and Permeabilityp. 114
Appendix IV: Diffusionp. 130
Concentration Cells and Equilibrium Potentialsp. 134
Appendix V: Derivation of Nernst Equationp. 143
Determination of Resting Potentialp. 145
Appendix VI-A: Constant Field Equationp. 165
Appendix VI-B: Derivation of Chord Conductance Equationp. 177
Appendix VI-C: Circuit Analysis for Cell Membranep. 180
Appendix VI-D: Permeability Coefficient Determinationp. 184
Appendix VI-E: Half-Cell Potentialsp. 194
Electrochemical Driving Forces and Membrane Ionic Currentsp. 196
Surface Charge, Stable States, and Osmotic Effectsp. 212
Appendix VIII: Theoretical Velocity as a Function of Tonicity in a Cablep. 228
Electrogenic Sodium Pump Potentialsp. 239
Appendix IX: Electrogenic Pump Potentialp. 261
Developmental Changes in K[superscript +] Permeabilityp. 269
Gibbs-Donnan Potentialsp. 278
Effect of Resting Potential on Rate of Rise of Action Potentialp. 286
Cable Properties and Propagationp. 289
Summaryp. 318
Referencesp. 322
Indexp. 348
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792333982
ISBN-10: 0792333985
Series: Mathematics and Its Applications
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 364
Published: December 2009
Publisher: Springer
Country of Publication: US
Dimensions (cm): 23.39 x 15.6  x 2.24
Weight (kg): 0.72

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