TY - JOUR
T1 - Reaction-diffusion systems for the macroscopic bidomain model of the cardiac electric field
AU - Veneroni, M.
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
U2 - 10.1016/j.nonrwa.2007.11.008
DO - 10.1016/j.nonrwa.2007.11.008
M3 - Article
SN - 1468-1218
VL - 10
SP - 849
EP - 868
JO - Nonlinear Analysis : Real World Applications
JF - Nonlinear Analysis : Real World Applications
IS - 2
ER -