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

Authors

  • I.A. Pavelchak

Keywords:

FitzHugh-Nagumo model
numerical methods
heart excitation
evolution systems of equations
initial boundary value problems
partial differential equations
inverse problems

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.

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Published

2014-06-15

Issue

Vol. 15 (2014): Issue 3.

Section

Section 1. Numerical methods and applications

Author Biography

I.A. Pavelchak

Lomonosov Moscow State University,
Faculty of Computational Mathematics and Cybernetics
• Mathematician

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