title: The optimal scheduling of two drugs with simple resistance for a problem in cancer chemotherapy.
abstract: In this paper we study the effects of drug resistance on the optimal schedule of two drugs in cancer chemotherapy. We analytically determine the optimal schedule when the tumour grows exponentially and the drugs have a linear killing action. Drug resistance enters into the model via an effectiveness term that decreases the cell loss as the accumulation of the drug grows.
authors.affiliation: School of Mathematics, University of New South Wales, Sydney, Australia.
authors.forename: J M
authors.initials: JM
authors.lastname: Murray
mesh_terms: D000971:Antineoplastic Combined Chemotherapy Protocols / Q000008:administration & dosage*; D002455:Cell Division; D004334:Drug Administration Schedule; D018432:Drug Resistance, Multiple; D019008:Drug Resistance, Neoplasm; D006801:Humans; D008433:Mathematics; D008962:Models, Theoretical; D009369:Neoplasms / Q000188:drug therapy* / Q000473:pathology; D013997:Time Factors