title: Optimal chemotherapy: a case study with drug resistance, saturation effect, and toxicity.
abstract: A system of differential equations for the control of tumour cell growth in a cycle-nonspecific chemotherapy is presented. A rate-of-kill term of saturation type, drug resistance, and toxicity are taken into account in a class of optimal control problems. Some results are obtained for general tumour cell growth rates. A detailed analysis is presented for the Malthusian cell growth, which shows a variety of optimal treatments according to the values of the model parameters and initial tumour level.
authors.affiliation: Laboratório Nacional de Computação Científica-CNPq, Rio de Janeiro, Brazil.
authors.forename: M I
authors.initials: MI
authors.lastname: Costa
authors.forename: J L
authors.initials: JL
authors.lastname: Boldrini
authors.forename: R C
authors.initials: RC
authors.lastname: Bassanezi
mesh_terms: D000970:Antineoplastic Agents / Q000008:administration & dosage / Q000627:therapeutic use* / Q000633:toxicity; D002453:Cell Cycle; D002455:Cell Division; D004351:Drug Resistance; D006801:Humans; D008433:Mathematics; D008962:Models, Theoretical; D009369:Neoplasms / Q000188:drug therapy* / Q000473:pathology*
chemical_list: D000970:Antineoplastic Agents