Numerical approximation of reaction-diffusion problems in electrocardiology using probabilistic methods

Authors
Salsi, A Groppi, M Di Cola, G
Citation
A. Salsi et al., Numerical approximation of reaction-diffusion problems in electrocardiology using probabilistic methods, MATH COMP M, 31(4-5), 2000, pp. 181-188
Citations number
6
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL AND COMPUTER MODELLING
ISSN journal
08957177 → ACNP
Volume
31
Issue
4-5
Year of publication
2000
Pages
181 - 188
Database
ISI
SICI code
0895-7177(200002/03)31:4-5<181:NAORPI>2.0.ZU;2-R
Abstract
We present a grid-free numerical method to solve reaction-diffusion problem s in two-dimensional bounded domains, based on the combination of stochasti c and deterministic techniques. A gradient random walk models the diffusion , and the reaction term involves deterministic growth or decay of particles . The application to the simulation of the cardiac potential evolution in a model of cardiac tissue is shown. (C) 2000 Elsevier Science Ltd. All right s reserved.