Article

Stability of equilibrium points of equation of regulatory mechanisms of cardiac activity

Mohiniso HidirovaResearch Institute for Development of Digital Technologies and Artificial Intelligence, Tashkent, UzbekistanZaynabkhon YusupovaFiscal Institute Under the State Tax Committee of the Republic of Uzbekistan, Tashkent, Uzbekistan

E3S Web of Conferencesjournal2023en

ABI

Abstract

The article presents a mathematical model of regulatory mechanisms of cardiac activity in the form of system of functional-differential equations with delay arguments. With the use of reduction and scaling methods, the system of equations is reduced to the form of a functional-differential equation with delay argument. The equation was qualitatively analyzed. Equilibrium points are revealed and their stability is analyzed. As a result of a qualitative analysis, it was revealed that the mathematical model can reflect various modes of regulatory mechanisms of cardiac activity in normal conditions and in case of anomalies, the modes such as stationary, auto-oscillating, dynamic chaos, “black hole” and falling state.

Topics

Technology and Human Factors in Education and Health Fusion and Plasma Physics Studies Heart Rate Variability and Autonomic Control

Identifiers

DOI: 10.1051/e3sconf/202340105091

Citations and references

Cited by 08 references

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