Modeling of Therapy-Induced Tumor Growth in Presence of Drug Resistance for Melanoma Cancer

Cancer is an important lethal disease. Therefore, many studies have focused on the drug delivery in the cancer treatment in order to obtain a better survival rate. In recent years, personalized medicine for the cancer treatment has been considered by researchers. One of the methods for implementing the personalized medicine is to apply mathematical models of tumor growth and to study the dynamic behavior of the tumor response to drugs. One of the main important factors of the model is drug resistance that may lead to failure of the treatment. In this study, a mathematical model of tumor growth of melanoma cancer is proposed for mouse models. In the presented model, drug sensitivity and drug resistance are considered. Parameters of the model are estimated using experimental data measured of mouse models. The mice were treated with a signaling pathway inhibitor (Notch inhibitor) of cancer stem cells.