Drug kinetics and drug resistance in optimal chemotherapy.
A system of differential equations for the control of tumor cells growth in a cycle nonspecific chemotherapy is presented. First-order drug kinetics and drug resistance are taken into account in a class of optimal control problems. The results show that the strategy corresponding to the maximum rate of drug injection is optimal for the Malthusian model of cell growth (which is a relatively good model for the initial phase of tumor growth). For more general models of cell growth, this strategy proved to be suboptimal under certain conditions.
Costa
M I
MI
Laboratório Nacional de Computação Científica-CNPq, R. Lauro Müller, Rio de Janeiro-RJ-Brasil.
Boldrini
J L
JL
Bassanezi
R C
RC
D000970:Antineoplastic Agents / Q000493:pharmacokinetics* / Q000494:pharmacology*; D002455:Cell Division / Q000187:drug effects; D004351:Drug Resistance; D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D009369:Neoplasms / Q000188:drug therapy* / Q000378:metabolism / Q000473:pathology
D000970:Antineoplastic Agents