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Numerical methods and programming, 2014, Volume 15, Issue 3, Pages 383–387
(Mi vmp257)
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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.
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
Linking options:
https://www.mathnet.ru/eng/vmp257 https://www.mathnet.ru/eng/vmp/v15/i3/p383
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| Abstract page: | 249 | | Full-text PDF : | 140 | | References: | 3 |
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