Abstract

In this chapter, we present a simple mathematical model of tumor-immune interactions in presence of chemotherapy treatment. The model is governed by a system of delay differential equations with optimal control variables. The control variables are included to justify the best treatment strategy with minimum side effects by reducing the production of new tumor cells and keeping the number of normal cells above the average of its carrying capacity. The numerical simulations show that the optimal treatment strategy reduces the load of tumor cells and increases the effector cells after just a few days of therapy.

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