title: Optimization of an in vitro chemotherapy to avoid resistant tumours.
abstract: Chemotherapy use against solid tumours often results in the resistance of the cancer cells to the molecule used. In this paper, we will set up and analyse an ODE model for heterogeneous in vitro tumours, consisting of cells that are sensitive or resistant to a certain drug. We will then use this model to develop different protocols, that aim at reducing the tumour volume while preserving its heterogeneity. These drug administration schedules are determined through analysis of the system dynamics, and optimal control theory.
authors.affiliation: Aix Marseille Université, CNRS, Centrale Marseille, Institut de Mathématique de Marseille, UMR 7373, 13453 Marseille France.
authors.forename: Cécile
authors.initials: C
authors.lastname: Carrère
mesh_terms: D000072283:A549 Cells; D000970:Antineoplastic Agents / Q000494:pharmacology / Q000627:therapeutic use*; D002452:Cell Count; D003198:Computer Simulation; D019008:Drug Resistance, Neoplasm / Q000187:drug effects*; D006801:Humans; D009369:Neoplasms / Q000188:drug therapy*; D009716:Numerical Analysis, Computer-Assisted; D013997:Time Factors
chemical_list: D000970:Antineoplastic Agents
keywords: Chemotherapy; Mathematical model; Metronomics; Optimal control