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Conflicting objectives in chemotherapy with drug resistance. (English) Zbl 0878.92012
Summary: A system of differential equations for the control of tumor cells growth in a cycle nonspecific chemotherapy is presented. Spontaneously acquired drug resistance is accounted for, as well as the evolution in time of normal cells. In addition, optimization of conflicting objectives forms the aim of the chemotherapeutic treatment. For general cell growth, some results are given, whereas for the special case of Malthusian (exponential) growth of tumor cells and rather general growth rate for normal cells, the optimal strategy is worked out. The latter, from the clinical standpoint, corresponds to maximum drug concentration throughout the treatment.

MSC:
92C50 Medical applications (general)
93C95 Application models in control theory
93C15 Control/observation systems governed by ordinary differential equations
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