Tracing the behavior of tumor cells during a course of chemotherapy

Mitra Shojania Feizabadi
Canisius College

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     Last modified: April 27, 2006

Abstract
Recently, fitting the Gompertz model within the context of two compartment cell population dynamics in the model presented by Kozusko and Bajzer (1) predicted an analytical solution for tumor evolution with two types of subpopulations. Also a net inter-compartment transition rate between two sets of subpopulations was predicted in this recent model. Modeling the size of proliferating and quiescent subpopulations as a function of time during the evolution of a whole unit can elucidate what is really going on inside a complex system like a tumor during its evolution.

Equipped with the above approach, this work presents a qualitative model for drug interaction with cancer cells in the Webb-Gyllenberg model. The drug is assumed to kill all cell types, each at a specific rate. Considering the total cell population growth in the presence of the drug, the behavior and the size of proliferating and quiescence subpopulations, as well as the related transition rates have been investigated

1- Kozusko, F., Bajzer Z. Mathematical Biosciences, 2003, 185, 153-167.