UDC 517.9

Hypothesis principles for the conditions of the rhythmic cardiac chamber activity within the framework of certain mathematical models

 

 A. P. Chernyaev

Moscow Institute of Physics and Technology (State University),
9 Institutsky Per., Dolgoprudny, Moscow region 141700, Russia

 

The paper is received on May 27, 2019

 

Abstract. On the basis of the comparative characteristics of a certain class of the cardiac chamber models, the mechanical provisions of the hypothesis for the rhythmic activity of the cardiac chamber are developed. This hypothesis should be added to the physical conditions on the basis of which the considered models of heart activity are constructed. The provisions of this hypothesis are developed gradually in the course of successive consideration of these models. To achieve the greatest clarity, much attention is paid to the simplified single-chamber heart model, available in the simplest organisms. Since for the present study we compare the advantages and disadvantages of the most widely popular models of the heart activity, the theoretical and practical significance of the present study consists in both in the formulation of problems for finding exact solutions, and for developing approximate algorithms and different aspects of numerical analysis.

Key words: hemodynamics, free and forced oscillations, oscillating solutions.

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For citation:

A.P.Chernyaev. Hypothesis principles for the conditions of the rhythmic cardiac chamber activity within the framework of certain mathematical models. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2019. No.6. Available at http://jre.cplire.ru/jre/jun19/11/text.pdf
DOI 10.30898/1684-1719.2019.6.11