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

Authors

  • I.A. Pavelchak Lomonosov Moscow State University

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.

Author Biography

I.A. Pavelchak

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Published

15-06-2014

How to Cite

Павельчак И. Numerical Analysis of the FitzHugh-Nagumo Model in a Three-Dimensional Domain // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2014. 15. 383-387

Issue

Section

Section 1. Numerical methods and applications