title: Optimal chemotherapy regimens: influence of tumours on normal cells and several toxicity constraints.
abstract: Cancer chemotherapy for the case of one drug is studied. The negative and inhibiting effect of the tumour on normal cells is taken into account. Under certain assumptions, we determine the optimal regimen that minimizes the tumour burden at the end of a fixed period of therapy while maintaining certain normal cell populations above prescribed levels. More precisely, it is demonstrated that the optimal strategy corresponds to injection of the drug at the maximal rate.
authors.affiliation: School of Electrical Engineering and Telecommunications, University of New South Wales, Sydney, Australia.
authors.forename: A S
authors.initials: AS
authors.lastname: Matveev
authors.forename: A V
authors.initials: AV
authors.lastname: Savkin
mesh_terms: D000970:Antineoplastic Agents / Q000008:administration & dosage* / Q000633:toxicity; D002452:Cell Count; D002455:Cell Division / Q000187:drug effects; D006801:Humans; D008954:Models, Biological; D008962:Models, Theoretical; D009369:Neoplasms / Q000188:drug therapy* / Q000473:pathology
chemical_list: D000970:Antineoplastic Agents