PROPERTIES OF SOLUTIONS OF EQUATION OF REGULATORY MECHANISMS OF CARDIAC ACTIVITY
Z. Dj. Yusupova
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.