The Siberian Scientific Medical Journal
 
 
№ 1 / 2016 / 23-28

Mathematical modelling of the tumor markers network

Author Affiliations

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. The detailed study of the solutions was made when the mathematical model parameters deviated from the basal values. The system states in which the threat of the cell uncontrolled apoptotic death accelerated the organisms aging processes or the excessive suppression of p53-induced apoptosis increased the tumors risk have been investigated within the numerical experiments. The mechanism of the system managing under stress conditions has been studied.

Key words

tumor markers, p53-mdm2-network, time delay equations, numerical modelling
References
About Authors (Correspondence):

Voropaeva O.F. – doctor of physical mathematical sciences, senior researcher, e-mail: vorop@ict.nsc.ru

Shokin Yu.I. – academician of RAS, director

 Nepomnyaschchikh L.M.  – corresponding member of RAS, director

Senchukova S.R. – doctor of medical sciences, leading researcher

Full Text

Received: 21/03/2016
Accepted: 02/01/1970