MATHEMATICAL MODEL OF PROPAGATION OF NERVE IMPULSES WITH REGARD HEREDITARITY
Journal Title: Вестник КРАУНЦ. Физико-математические науки - Year 2017, Vol 1, Issue
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
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