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Optimal Control of Drug Therapy and Virotherapy via Linear Parameter Varying (LPV) Approach

Cancer is one of the biggest causes of death in the world, including in Indonesia and there is not yet found specific drugs to cure cancer. Treatment using drugs is one of therapies that can be used to treat cancer patients, but at the same time, it has side effect which is affecting healthy cells, resulting problem such as muscle, kidney, or fertility problems. Therefore, virotherapy is introduced as alternative cancer therapy by utilizing oncolytic virus as a weapon to damage cancer cells without harming healthy cells. Nonlinear model of cancer treatment using combination of drug therapy and virotherapy can describe the dynamics of cancer treatment phenomenon. From the model, drug therapy and virotherapy will be assigned as control that will minimize the side effect of therapy. Here we discuss Linear Parameter Varying (LPV) as an approach to determine the control input with a set of parameters that vary in specific interval. Numerical simulation shows that dynamical behaviour of LPV model is similar with nonlinear model. From LPV controller, it can be obtained the dosage of drugs and virotherapy to minimize the growth of cancer cells. Furthermore, LPV model can interprets less complex and is more useful since it relates to the desired trajectory and can generates the unseen time variation.