We 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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Translated from Prikladnaya Matematika i Informatika, No. 40, pp. 20–28, 2012.
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Pavel’chak, I.A., Tuikina, S.R. Numerical solution of an inverse problem for the modified aliev–panfilov model. Comput Math Model 24, 14–21 (2013). https://doi.org/10.1007/s10598-013-9155-4
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DOI: https://doi.org/10.1007/s10598-013-9155-4