Optimal Control for a Mathematical Model of Cancer Chemotherapy with Immune Resistance

Student: zaikina radmila

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Applied Mathematics (Bachelor)

Year of Graduation: 2022

Mathematical modeling is intensively utilized in cancer therapy research since it allows to study the mechanisms of growth suppression of malignant formations. Complementing experimental and clinical trials, it helps in formulating and testing new hypotheses and making predictions. This paper introduces a mathematical model that describes interactions between tumor and immune cells under the influence of chemotherapy takes into account emerging drug resistance in cancer cells. The problem of optimal therapy control is formulated. Pontryagin's maximum principle is used to find the best possible control for drug input. The Forward-Backward Sweep method is used to find a numerical solution to the optimal control problem.

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