Reaction-diffusion systems for the macroscopic bidomain model of the cardiac electric field

被引：83
|
作者：
Veneroni, Marco [1 ]
机构：
[1] Eindhoven Univ Technol, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 02期
关键词：
Reaction-diffusion equations; Bidomain model; Degenerate evolution equations; 3-D MODELS; TISSUE; EXCITATION; ANISOTROPY; EVOLUTION; HOMOGENIZATION; REPOLARIZATION; SIMULATIONS; PROPAGATION; ACTIVATION;
D O I：
10.1016/j.nonrwa.2007.11.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：849 / 868
页数：20
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