Bulletin KRASEC. Phys. & Math. Sci. 2017. vol. 16, issue. 1. pp. 52-60. ISSN 2313-0156

DOI: 10.18454/2313-0156-2017-16-1-52-60


MSC 34A08


O. D. Lipko

Vitus Bering Kamchatka State University, 683032, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia
E-mail: lipko__95@list.ru

A mathematical model of FitzHugh-Nagumo nerve impulse propagation is proposed. It takes into account the effect of heredity. This hereditary model is described by an integrodifferential equation with a power kernel, a function of memory. The algorithm for the numerical solution of this model is implemented in a computer program in Maple symbolic mathematics environment. With the help of this program, calculated curves, oscillograms, and phase trajectories were constructed depending on various values of control parameters.

Keywords: heredity, FitzHugh-Nagumo model , finite-difference scheme.



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For citation: Lipko O. D. Mathematical model of nerve impulse propagation with regard to heredity. Bulletin KRASEC. Physical and Mathematical Sciences 2017, vol. 16, issue 1, 52 — 60. DOI: 10.18454/2313-0156-2017-16-1-52-60.

Original article submitted: 22.03.2017


     Lipko Olga Dmitrievna – a student of the 4th year of training «Applied Mathematics and Informatics Vitus Bering Kamchatka State University.

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