A numerical method of parameter reconstruction in the Fitz-Hugh--Nagumo and Aliev--Panfilov models
Numerical methods and programming, Tome 13 (2012) no. 1, pp. 172-176
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An inverse problem for the Fitz-Hugh–Nagumo and Aliev–Panfilov models describing the wave propagation in excitable media is considered. The problem consists in the reconstruction of model parameters using the measurements performed on the boundary of a plane domain. Various sets of the parameters can be considered as unknown. A numerical method for solving the inverse problem is proposed. The numerical results are discussed.
Keywords:
FitzHugh-Nagumo and Aliev-Panfilov models; inverse problem; numerical methods.
@article{VMP_2012_13_1_a17,
author = {I. A. Pavelchak},
title = {A numerical method of parameter reconstruction in the {Fitz-Hugh--Nagumo} and {Aliev--Panfilov} models},
journal = {Numerical methods and programming},
pages = {172--176},
publisher = {mathdoc},
volume = {13},
number = {1},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMP_2012_13_1_a17/}
}
TY - JOUR AU - I. A. Pavelchak TI - A numerical method of parameter reconstruction in the Fitz-Hugh--Nagumo and Aliev--Panfilov models JO - Numerical methods and programming PY - 2012 SP - 172 EP - 176 VL - 13 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMP_2012_13_1_a17/ LA - ru ID - VMP_2012_13_1_a17 ER -
I. A. Pavelchak. A numerical method of parameter reconstruction in the Fitz-Hugh--Nagumo and Aliev--Panfilov models. Numerical methods and programming, Tome 13 (2012) no. 1, pp. 172-176. http://geodesic.mathdoc.fr/item/VMP_2012_13_1_a17/