Optimal Control Problem of a Metronomic Chemotherapy

In this paper we consider a metronomic chemotherapy model which is optimally controlled over the expected future lifetime of the particular patient. Under certain assumptions concerning the distribution of the future lifetime of the patient, it can be easily transformed to a purely deterministic optimal control problem with infinite horizon. To solve the latter the open source software package OCMat was used. Solutions to optimal control problems with \(L_2-\) and regularized \(L_1-\)objective functionals have been compared.