An Îto stochastic differential equations model for the dynamics of the MCF-7 breast cancer cell line treated by radiotherapy.
In this paper, a new mathematical model is proposed for studying the population dynamics of breast cancer cells treated by radiotherapy by using a system of stochastic differential equations. The novelty of the model is essentially in capturing the concept of the cell cycle in the modeling to be able to evaluate the tumor lifespan. According to the cell cycle, each cell belongs to one of three subpopulations G, S, or M, representing gap, synthesis and mitosis subpopulations. Cells in the M subpopulation are highly radio-sensitive, whereas cells in the S subpopulation are highly radio-resistant. Therefore, in the process of radiotherapy, cell death rates of different subpopulations are not equal. In addition, since flow cytometry is unable to detect apoptotic cells accurately, the small changes in cell death rate in each subpopulation during treatment are considered. Subsequently, the proposed model is calibrated using experimental data from previous experiments involving the MCF-7 breast cancer cell line. Consequently, the proposed model is able to predict tumor lifespan based on the number of initial carcinoma cells. The results show the effectiveness of the radiation under the condition of stability, which describes the decreasing trend of the tumor cells population.
['Oroji|Amin|A|', 'Omar|Mohd|M|', 'Yarahmadian|Shantia|S|']
D000465:Algorithms D001943:Breast Neoplasms D002138:Calibration D002453:Cell Cycle D003198:Computer Simulation D016001:Confidence Intervals D005260:Female D006801:Humans D061986:MCF-7 Cells D008954:Models, Biological D009010:Monte Carlo Method D013269:Stochastic Processes
Breast cancer Radiotherapy Ito stochastic differential equations model