Solutions for the Cell Cycle in Cell Lines Derived from Human Tumors

Abstract

The goal of the paper is to compute efficiently solutions for model equations that have the potential to describe the growth of human tumor cells and their responses to radiotherapy or chemotherapy. The mathematical model involves four unknown functions of two independent variables: the time variabletand dimensionless relative DNA contentx. The unknown functions can be thought of as the number density of cells and are solutions of a system of four partial differential equations. We construct solutions of the system, which allow us to observe the number density of cells for differenttandxvalues. We present results of our experiments which simulate population kinetics of human cancer cellsin vitro. Our results show a correspondence between predicted and experimental data.