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.
Original language | English |
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Pages (from-to) | 1631-1661 |
Journal | Mathematical Methods in the Applied Sciences |
Volume | 29 |
Issue number | 14 |
DOIs | |
Publication status | Published - 2006 |