Optimal Control of Drug Administration in Cancer Treatment via State-Dependent Riccati Equation (SDRE) Method

In this study, we apply State-Dependent Riccati Equation (SDRE) based optimal control technique to a nonlinear tumor growth model. Although SDRE optimal control techniquehas been applied successfully to the problem of control of drug administration in cancer treatment, the problem in the literaturehas an infinite-time horizon formulation. In other words, optimal control of drug administration in finite-time horizon using SDRE method has not been studied yet. The main contribution of this research work is to apply SDRE based optimal control to the chemotherapeutic treatment of cancer that aims at theminimization of the tumor burden at the end of a certain time interval of treatment with a limited amount of drugs. The resultantState-Dependent Differential Riccati Equation (SDRDE) is then solved using a new approach which is based on state transition matrix of Hamiltonian system. Simulation results show that a burst of treatment at the beginning is the best way to battle the tumor and constant decreasing the dosage of drug let the immune system to be reconstructed.

کلیدواژه ها:

Cancer ، Tumor growth model ، Optimal control ، State-dependent Riccati equation