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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2017, Number 1(17), Pages 33–43
DOI: https://doi.org/10.18454/2079-6641-2017-17-1-33-43 (Mi vkam190) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICAL MODELING

Mathematical model of propagation of nerve impulses with regard hereditarity

O. D. Lipko

Vitus Bering Kamchatka State University
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DOI: https://doi.org/10.18454/2079-6641-2017-17-1-33-43
Abstract: A mathematical model of the propagation of the nervous pulse of FitzHugh-Nagumo is proposed, which takes into account the effect of heredity. This hereditary model is described by an integro-differential 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 the environment of symbolic mathematics Maple. With the help of this program, calculated curves - oscillograms, and also phase trajectories were constructed depending on various values of control parameters.
Keywords: hereditarity Model FitzHugh-Nagumo, finite-difference scheme.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation AAAA-A17-117031050058-9
Received: 22.03.2017
Bibliographic databases:
Document Type: Article
UDC: 517.938
MSC: MSC 34A08
Language: Russian
Citation: O. D. Lipko, “Mathematical model of propagation of nerve impulses with regard hereditarity”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2017, no. 1(17), 33–43
Citation in format AMSBIB
\Bibitem{Lip17}
\by O.~D.~Lipko
\paper Mathematical model of propagation of nerve impulses with regard hereditarity
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2017
\issue 1(17)
\pages 33--43
\mathnet{http://mi.mathnet.ru/vkam190}
\crossref{https://doi.org/10.18454/2079-6641-2017-17-1-33-43}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3657105}
\elib{https://elibrary.ru/item.asp?id=29094397}
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    • This publication is cited in the following 1 articles:
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    		Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
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