title: Optimal drug regimens in cancer chemotherapy for single drugs that block progression through the cell cycle.
abstract: In this paper we study the application of a single drug in cancer chemotherapy where the drug can block progression through the cell cycle. Under certain conditions we determine the regimen that reduces the tumor population to a desired endpoint in minimal time while keeping a normal cell population above some lower limit. We also study the sensitivity of the optimal solution to various parameters.
authors: School of Mathematics, University of New South Wales, Kensington, Australia.
authors: J M
authors: JM
authors: Murray
mesh_terms: D000818:Animals; D000970:Antineoplastic Agents / Q000008:administration & dosage*; D002453:Cell Cycle / Q000187:drug effects; D016923:Cell Death / Q000187:drug effects; D004334:Drug Administration Schedule; D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D009369:Neoplasms / Q000188:drug therapy* / Q000473:pathology
chemical_list: D000970:Antineoplastic Agents