A Mathematical Model of In Vitro Estrogen-Related Cancer Cell Growth Based on Cell-Cycle Mechanism

We develop in this paper a new mathematical model of cancer cell growth under estrogen stimulation. Not only can this model be used to interpret the cell cycle process of cancer cells in the presence of estrogen, but it can also be used to predict long term evolution of cell population count (proliferation response) and to predict the concentrations of estrogen presented in a sample. This mathematical model is based on the “cell cycle phase-specific effect of estrogen” process. The parameters of this model are estimated using measured GH3 cell proliferation response provided by the Real-time Cell Electronic Sensor referred to as RT-CES. Experimental results show that the developed model is able to predict cell proliferation response to estrogen stimulation of different concentrations and to provide an estimation of estrogen concentrations using RT-CES data. Theses features of the proposed model might provide biological insights to oncologists and contribute to the treatment and prevention from some diseases related to estrogen stimulation such as breast cancer.