Mathematical Modeling of the Electrical Activity of Cardiac Cells

  • Michael R. Guevara
Part of the Institute for Nonlinear Science book series (INLS)

Abstract

We introduce the Hodgkin-Huxley (HH) formulation describing the flow of ionic currents across the membrane of a cardiac cell, paying particular attention to the central concepts of activation and inactivation. We indicate a few situations in which HH-type modeling of cardiac cells has been useful, and show that continuous models of the HH-type break down when one observes phenomena in which single-channel behavior becomes important. Finally, we show that there are some intriguing parallels between the behavior of single ionic channels, which are currently thought to be governed by stochastic processes, and the behavior of chaotic systems, which are governed not by stochastic, but rather by deterministic rules.

Keywords

Clay Permeability Acetylcholine Noma Piro 

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Copyright information

© Springer-Verlag New York, Inc. 1991

Authors and Affiliations

  • Michael R. Guevara
    • 1
  1. 1.Department of PhysiologyMcGill UniversityMontréalCanada

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