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Reaction–diffusion systems for the microscopic cellular model of the cardiac electric field

✍ Scribed by Marco Veneroni


Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
236 KB
Volume
29
Category
Article
ISSN
0170-4214

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✦ Synopsis


Abstract

The paper deals with a mathematical model for the electric activity of the heart at microscopic 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 action potential propagation. From the mathematical viewpoint the model is made up of a parabolic reaction diffusion system coupled with an ODE system. We derive existence and some regularity results. Copyright © 2006 John Wiley & Sons, Ltd.


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