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.
UDC 517.958We pose the inverse problem for the modified Aliev-Panfilov model, which involves determining the coefficient of a system of partial differential equations dependent on spatial variables from supplementary observations of the solution on the boundary. This inverse problem may be interpreted as a problem to find the shape and location of the cardiac region damaged by myocardial infarct. A numerical method is proposed for solving the problem and computer experiments illustrating its implementation are reported.
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