"Numerical analysis of the FitzHugh-Nagumo model in a three-dimensional domain"
Pavel'chak I.A.

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.

  • Pavel'chak I.A. – Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics; Leninskie Gory, Moscow, 119992, Russia; Ph.D., Mathematician, e-mail: pavelchaki@gmail.com