Mathematical modeling of the tumor markers network

Abstract

This paper is devoted to a numerical analysis of the solutions of the equations system describing the dynamics of the concentration of p53 and Mdm2 proteins in their interaction. A detailed study of the solutions was made when the mathematical model parameters deviated from the basal values. Within the numerical experiments, the states of the system, such as threat by the uncontrolled apoptotic death of cellules, accelerating the aging processes of organisms and of the excessive suppression of p53-induced apoptosis, which increases the risk of tumors, have been investigated. The mechanism of managing the system under stress conditions has been studied in detail.