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Some Mathematical Questions in Biology--The Dynamics of Excitable Media
Edited by: Hans G.Othmer
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Lectures on Mathematics in the Life Sciences
1989; 181 pp; softcover
Volume: 21
ISBN-10: 0-8218-1171-1
ISBN-13: 978-0-8218-1171-9
List Price: US$45
Member Price: US$36
Order Code: LLSCI/21
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This volume contains the proceedings of the 22nd annual Symposium on Some Mathematical Questions in Biology, held in May, 1988 in Las Vegas. The diversity of current research in the dynamics of excitable media is reflected in the six papers in this volume. The topics covered include a mathematical treatment of phase-locking, numerical results for models of synchronization in the mammalian sinoatrial node, simulations of a model of the hippocampus, and wave propagation in excitable media. Both experimental and theoretical aspects are treated. Aimed at mathematicians, physiologists, and cardiologists, the book requires only background in differential equations. Readers will gain a broad perspective on current research activity in the modeling, analysis, and simulation of systems with excitable media.

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Table of Contents

  • J. C. Alexander, E. J. Doedel, and H. G. Othmer -- Resonance and phase-locking in excitable systems
  • J. Jalife and D. C. Michaels -- The initiation of the heart beat as a dynamic consensus of electrically coupled pacemaker cells
  • R. D. Traub, R. Miles, and R. K. S. Wong -- Collective behaviors of the hippocampal CA3 region
  • P. B. Monk and H. G. Othmer -- Relay, oscillations, and wave propagation in a model of Dictyostelium discoideum
  • R. Plonsey -- The use of a Bidomain model for the study of excitable media
  • J. P. Keener and F. M. Phelps IV -- Consequences of the cellular, anisotropic structure of myocardium
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