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Chemotherapeutic treatments involving drug resistance and level of normal cells as a criterion of toxicity. (English) Zbl 0821.92016
Summary: A system of differential equations for the control of tumor cells growth in a cycle nonspecific chemotherapy is presented. Drug resistance and toxicity conveyed through the level of normal cells are taken into account in a class of optimal control problems. Alternative treatments for the exponential tumor growth are set forth for cases where optimal treatments are not available.

MSC:
92C50 Medical applications (general)
92C45 Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.)
49N70 Differential games and control
49N75 Pursuit and evasion games
49K15 Optimality conditions for problems involving ordinary differential equations
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