Optimal Control Problem of a Metronomic Chemotherapy
- 81 Downloads
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.
KeywordsInfinite horizon optimal control Metronomic chemotherapy Numerical analysis
- 1.Browder, T., et al.: Antiangiogenic scheduling of chemotherapy improves efficacy against experimental drug-resistant cancer. Cancer Res. 60, 1878–1886 (2000)Google Scholar
- 11.Valdez, E.A.: Survival models (2014). https://studylib.net/doc/8854157/survival-models
- 13.Pasquier, E., Ledzewicz, U.: More is not necessarily better: metronomic chemotherapy. Newslett. Soc. Math. Biol. 26(2) (2013)Google Scholar