DYNAMICS OF TUMOR-IMUNE INTERACTION UNDER TREATMENT AS AN OPTIMAL CONTROL PROBLEM

作者：Ledzewicz Urszula^*; Naghnaeian Mohammad; Schaettler Heinz

来源：Discrete and Continuous Dynamical Systems, 2011, 31: 971-980.

• optimal control
• cancer chemotherapy
• tumor-immune interaction

For a mathematical model for cancer-immune system interactions under chemotherapy, we consider the problem of moving an initial condition that lies in a region of malignant cancer growth through therapy into a region where cancer regresses and thus control the cancer. We formulate this treatment goal as an optimal control problem and discuss the solutions for various related objective functions in the model.

• 出版日期2011-9