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Optimal Control of a Cancer Cell Model with Delay

C. CollinsK.R. FisterM. Williams — 2010

Mathematical Modelling of Natural Phenomena

In this paper, we look at a model depicting the relationship of cancer cells in different development stages with immune cells and a cell cycle specific chemotherapy drug. The model includes a constant delay in the mitotic phase. By applying optimal control theory, we seek to minimize the cost associated with the chemotherapy drug and to minimize the number of tumor cells. Global existence of a solution has been shown for this model and existence...

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