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Dynamics of tumor-immune interaction under treatment as an optimal control problem

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  • 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.
    Mathematics Subject Classification: Primary: 49K15; Secondary: 92C50.


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