Numerical Solution of the Inverse Problem for the Mathematical Model of Cardiac Excitation

Abstract

We consider the problem of localizing the region of the heart damaged by myocardial infarct. For the two-dimensional modified FitzHugh–Nagumo mathematical model, this inverse problem involves determining the coefficient dependent on spatial variables for a system of partial differential equations in a region with a localized source of cardiac excitation. Additional dynamical measurements of the potential are carried out on the inner boundary of the region representing the section of the heart and its ventricles by a horizontal plane. Potential measurements on the inner boundary correspond to data obtained from ventricular catheters. A numerical method is proposed for the solution of this inverse problem and results of computer experiments are reported.