Thi Thu Nguen, Lyalya U. Bakhtieva

Kazan Federal University

The results of computer implementation of the basic model of the action potential of Hodgkin-Huxley nerve fibers and the modified model of the electrical activity of heart cells (Purkinje fibers) proposed by Noble are presented. To solve the differential equations of models in the Matlab high-level programming environment, user interfaces have been developed that allow you to work with models in an interactive mode. Simulation of the models has carried out for different values of the parameters. The analysis of the obtained results and their comparison with the available experimental and theoretical data of other authors confirmed the conclusion that the Noble model (unlike the Hodgkin-Huxley model) adequately describes the electrical processes occurring in myocardial cells. However, to use this model for practical purposes, it is necessary to supplement it with some parameters that take into account, for example, the effect of calcium ions. The authors of this article have proposed a modification of the Noble model, including an external stimulating current, and carried out numerical experiments. Graphical results are presented, practically important conclusions are made.

mathematical model, cardiac activity, action potential