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

  • I. MATHEMATICAL MODELING
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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.

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Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

    S. R. Tuikina & S. I. Solov’eva

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  1. S. R. Tuikina
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  2. S. I. Solov’eva
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Correspondence to S. I. Solov’eva.

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Translated from Prikladnaya Matematika i Informatika, No. 53, 2016, pp. 5–12.

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Tuikina, S.R., Solov’eva, S.I. Numerical Method of Determining the Excitation Source for the Fitzhugh–Nagumo Mathematical Model. Comput Math Model 28, 301–309 (2017). https://doi.org/10.1007/s10598-017-9365-2

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  • DOI: https://doi.org/10.1007/s10598-017-9365-2

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