MATHEMATICAL MODEL OF PROPAGATION OF NERVE IMPULSES WITH REGARD HEREDITARITY

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.

Authors and Affiliations

Olga Lipko

Keywords

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  • EP ID EP494507
  • DOI 10.18454/2079-6641-2017-17-1-33-43
  • Views 105
  • Downloads 0

How To Cite

Olga Lipko (2017). MATHEMATICAL MODEL OF PROPAGATION OF NERVE IMPULSES WITH REGARD HEREDITARITY. Вестник КРАУНЦ. Физико-математические науки, 1(), 33-43. https://europub.co.uk/articles/-A-494507