A model for the action of external current onto excitable tissue.

V.N. Biktashev , A.V. Holden and H. Zhang

Institute for Mathematical Problems in Biology, Pushchino, Moscow region, 142292, Russia

Physiology Department and Centre for Nonlinear Studies, The University, Leeds, LS2 9JT, UK

Author to whom the correspondence should be addressed

Abstract:

We outline a mathematical model of the action of an external electric current on excitable tissue, which considers the action of the current on different parts of the cell membrane within an ODE description. This model is intuitively clear and numerically efficient, and is used to predict and compute the defibrillation threshold for cardiac tissue.

• Introduction
• Basic Equations
• Reduction to the Membrane
• Simplified Two-Compartment Model
• Quasi-Stationary Approximation
• Action onto a Single Cell
• Action onto an Excitable Fibre
• On the Asymptotic Theory of Defibrillation
• Discussion
• References
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