Numerical Method of Determining the Excitation Source for the Fitzhugh–Nagumo Mathematical Model

Abstract

We consider the inverse problem for the two-dimensional modified FitzHugh–Nagumo model in the presence of an infarct. The inverse problem determines the myocardium excitation source function (a function of space variables and time) from a system of partial differential equations. Additional dynamic measurements of the potential are carried out on the entire inside boundary of the region representing a cross-section of the heart and its ventricles by a horizontal plane, which fits the real heart geometry. A numerical method is proposed for the solution of this inverse problem with the discrepancy functional; numerical results are reported.