The optimal dose of CAF regimen in adjuvant chemotherapy for breast cancer patients at stage IIB

This paper deals with the idea of balancing drug effects on tumor and normal cell populations based on a variety of criteria, which is evaluated by the oncologist for breast cancer patients at stage IIB. In this paper, the optimal controller represents the optimal drug dosage of CAF (Cyclophosphamide, Adriamycin and Fluorouracil) regimen in adjuvant chemotherapy after surgery for these patients. We determined the doses of CAF regimen by minimizing a cost function with some constraints. The cost function includes the cancer cell and the normal cell growth dynamics with prescribed weighting coefficients for each patient. The physician determines these weighting coefficients based on some individual parameters. The optimal treatment schedules are computed based on a trade-off between the cancer cell reduction and the normal cell preserving. Numerical simulations are given to illustrate the accuracy of the optimal controller.