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Num. Meth. Prog., 2012, Volume 13, Issue 1, Pages 172–176 (Mi vmp18)  

Вычислительные методы и приложения

A numerical method of parameter reconstruction in the Fitz-Hugh–Nagumo and Aliev–Panfilov models

I. A. Pavelchak

M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

Abstract: 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.

Full text: PDF file (142 kB)
UDC: 517.958
Received: 01.02.2012

Citation: I. A. Pavelchak, “A numerical method of parameter reconstruction in the Fitz-Hugh–Nagumo and Aliev–Panfilov models”, Num. Meth. Prog., 13:1 (2012), 172–176

Citation in format AMSBIB
\Bibitem{Pav12}
\by I.~A.~Pavelchak
\paper A numerical method of parameter reconstruction in the Fitz-Hugh--Nagumo and Aliev--Panfilov models
\jour Num. Meth. Prog.
\yr 2012
\vol 13
\issue 1
\pages 172--176
\mathnet{http://mi.mathnet.ru/vmp18}


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