PROPERTIES OF SOLUTIONS OF EQUATION OF REGULATORY MECHANISMS OF CARDIAC ACTIVITY

Z. Dj. Yusupova

  DOI:  https://doi.org/10.37418/amsj.9.11.14

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The purpose of this article is qualitative analysis of the mathematical model of the regulatory mechanisms of cardiac activity. Mathematical model is in form of functional-differential equation with delay argument. In this paper analyzed the properties of solutions of equation of mathematical model such as existence, continuity, non-negativity, uniqueness, and limitation of solutions. As a result, the ability of this equation to correctly describe the properties of the biological system under consideration is mathematically substantiated.

Keywords: Regulatory mechanisms of cardiac activity, qualitative analysis, functional-differential equation with delay, “black hole”, mathematical modeling, regulatorika, sequential integration.