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
- DOI
- 10.1002/mma.740
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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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