Combining a total cell population growth and cell population dynamics in the presence of anti-cancer agents

A two-compartment Webb-Gyllenberg model describes the population dynamics of proliferating and quiescent cancer cells. ~Combination of the total cell growth curve and the two-compartment model yields an analytical solution for the behavior of proliferating subpopulation and the net transition rate between proliferating and quiescent cells as a function of time. 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.