Open Access Research Article

Discrete Model of Three Interacting Pacemakers Taking into Account the Time of Refractoriness as Applied to The Activity of Cardiac Fibrillation

Sergey Belyakin1* and Sergey Shuteev1,2

1Department of General Physics, Physics Faculty, Lomonosov Moscow State University, Russia

2Laboratory of dynamic systems, Physics Faculty, Lomonosov Moscow State University, Russia

Corresponding Author

Received Date: August 12, 2019;  Published Date: August 19, 2019

Abstract

In this publication, we consider the model described cardiac tissue as an active conducting system, taking into account its self-oscillating properties; in the model, cardiac rhythms can be described on the basis of the theory of dynamic systems to justify the need to build a universal model of the oscillating medium. This model promotes understanding of such pathologies of cardiac activity as tachycardia and fibrillation. These studies are based on discrete - time representations (finite-difference equations). In this publication, we will consider in detail the main stages of development of these concepts and the corresponding mathematical concepts.

Keywords:Chaotic dynamic system; Discrete models; Cardiac rhythms; Active media

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