| Issue |
E3S Web of Conf.
Volume 401, 2023
V International Scientific Conference “Construction Mechanics, Hydraulics and Water Resources Engineering” (CONMECHYDRO - 2023)
|
|
|---|---|---|
| Article Number | 05091 | |
| Number of page(s) | 7 | |
| Section | Engineering Materials Science, Intelligent Transport Systems and Transport Logistics | |
| DOI | https://doi.org/10.1051/e3sconf/202340105091 | |
| Published online | 11 July 2023 | |
Stability of equilibrium points of equation of regulatory mechanisms of cardiac activity
1 Research Institute for Development of Digital Technologies and Artificial Intelligence, Tashkent, Uzbekistan
2 Fiscal Institute Under the State Tax Committee of the Republic of Uzbekistan, Tashkent, Uzbekistan
3 “Tashkent Institute of Irrigation and Agricultural Mechanization Engineers” National Research University, Tashkent, Uzbekistan
* Corresponding author: zaynabhon@inbox.ru
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.
© The Authors, published by EDP Sciences, 2023
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