Journal
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Volume 10, Issue 2, Pages 849-868Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2007.11.008
Keywords
Reaction-diffusion equations; Bidomain model; Degenerate evolution equations
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The paper deals with a mathematical model for the electric activity of the heart at the macroscopic level. The membrane model used to describe the ionic currents is a generalization of the phase-I Luo-Rudy, a model widely used in 2-D and 3-D simulations of the propagation of the action potential. From the mathematical viewpoint the model is made up of a degenerate parabolic reaction diffusion system coupled with an ODE system. We derive existence, uniqueness and some regularity results. (C) 2007 Elsevier Ltd. All rights reserved.
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