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Num. Meth. Prog., 2014, Volume 15, Issue 3, Pages 383–387 (Mi vmp257)  

Numerical analysis of the FitzHugh–Nagumo model in a three-dimensional domain

I. A. Pavelchak

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

Abstract: The FitzHugh–Nagumo mathematical model of heart excitation is considered in the form of the initial boundary value problem for the evolution system of partial differential equations in a three-dimensional domain that corresponds to the actual geometry of the heart and its ventricles. A numerical analysis of excitation caused by a localized source is performed. The possibility of excitation from a source located in the cardiac muscle is discussed. The dependence of the velocity of excitation propagation and the width of its front on the model parameters is studied.

Keywords: FitzHugh–Nagumo model, numerical methods, heart excitation, evolution systems of equations, initial boundary value problems, partial differential equations, inverse problems.

Full text: PDF file (249 kB)
UDC: 517.958
Received: 06.04.2014

Citation: I. A. Pavelchak, “Numerical analysis of the FitzHugh–Nagumo model in a three-dimensional domain”, Num. Meth. Prog., 15:3 (2014), 383–387

Citation in format AMSBIB
\Bibitem{Pav14}
\by I.~A.~Pavelchak
\paper Numerical analysis of the FitzHugh--Nagumo model in a three-dimensional domain
\jour Num. Meth. Prog.
\yr 2014
\vol 15
\issue 3
\pages 383--387
\mathnet{http://mi.mathnet.ru/vmp257}


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