Mathematics

Convergence of the automata model of baroreceptor complex

È. È. Gasanov^a, M. E. Shirinyan<sup>b

a</sup> Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b The Scientific and Technological Center of Organic and Pharmaceutical Chemistry of the National Academy of Sciences of the Republic of Armenia, Yerevan

Abstract: A mathematical model of convergence to the equilibrium state of one of the main mechanisms of neurogenic regulation of blood pressure, arterial baroreceptor reflex, is proposed. The baroreceptor complex model consists of two interacting hybrid automata, one representing the sympathetic nervous system and the other the cardiovascular system. А theorem on the convergence of the baroreceptor complex to the equilibrium state is proved.

Key words: hybrid automata, arterial baroreflex, modeling of regulatory systems, mathematical biology, blood pressure, equilibrium states.

UDC: 519.7, 612.143

Received: 30.09.2024

DOI: 10.55959/MSU0579-9368-1-66-6-1