Numerical solution method for the inverse problem of the modified fitzhugh–nagumo model

Abstract

The article considers a modified FitzHugh-Nagumo model that may be applied to model processes associated with myocardial infarct analysis. The inverse problem for this model involves finding the coefficient of a system of partial differential equations dependent on the spatial variables and the solution from supplementary observations of the solution on the boundary. This inverse problem may be interpreted as determining the shape and the location of the region of the heart damaged by myocardial infarct. A numerical method is proposed for the solution of the inverse problem and some computer experiments illustrating its implementation are reported.