title: Influence of tumours on normal cells and optimal chemotherapy regimens: the case of several drugs and toxicity constraints.
abstract: Cancer chemotherapy with the application of several drugs is studied. The negative and inhibiting effect of the tumour on normal cells is taken into account. Under certain hypotheses, we determine the optimal regimen that minimizes the tumour burden at the end of a fixed period of therapy while maintaining several normal cell populations above prescribed levels. More precisely, it is demonstrated that the optimal drug administration corresponds to the strategy of intensive chemotherapy.
authors.affiliation: School of Electrical Engineering and Telecommunications, The University of New South Wales, Sydney 2052, Australia. alexeymatveev@hotmail.com
authors.forename: Alexey S
authors.initials: AS
authors.lastname: Matveev
authors.forename: Andrey V
authors.initials: AV
authors.lastname: Savkin
mesh_terms: D000971:Antineoplastic Combined Chemotherapy Protocols / Q000008:administration & dosage* / Q000009:adverse effects; D004334:Drug Administration Schedule; D006801:Humans; D008954:Models, Biological; D009369:Neoplasms / Q000188:drug therapy*