Mathematical modeling of critical phenomena in biomedical systems

Abstract

The methods of mathematical modeling of critical phenomena in multicomponent systems, which have the prospect of use in modern biomedical and gene technologies, are considered. The proposed method involves modeling the studied system by systems of equations containing potential functions of the system state using a differential topological approach. The purpose of the modeling is to determine the stability spaces, bifurcations and spaces of simultaneous coexistence of several phases of the studied system. The simulation results can be used to analyze the stability of the studied system under different operating conditions.