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    Evolution of cancer cell populations under cytotoxic therapy and treatment optimisation: insight from a phenotype-structured model

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    Author
    Almeida, L; Bagnerini, P; Fabrini, G; Hughes, BD; Lorenzi, T
    Date
    2019-07-04
    Source Title
    ESAIM. Mathematical modelling and numerical analysis = ESAIM. Modelisation mathematique et analyse numerique : M=2AN
    Publisher
    EDP Sciences
    University of Melbourne Author/s
    Hughes, Barry
    Affiliation
    School of Mathematics and Statistics
    Metadata
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    Document Type
    Journal Article
    Citations
    Almeida, L., Bagnerini, P., Fabrini, G., Hughes, B. D. & Lorenzi, T. (2019). Evolution of cancer cell populations under cytotoxic therapy and treatment optimisation: insight from a phenotype-structured model. ESAIM. Mathematical modelling and numerical analysis = ESAIM. Modelisation mathematique et analyse numerique : M=2AN, 53 (4), pp.1157-1190. https://doi.org/10.1051/m2an/2019010.
    Access Status
    Open Access
    URI
    http://hdl.handle.net/11343/233845
    DOI
    10.1051/m2an/2019010
    ARC Grant code
    ARC/DP140100339
    Abstract
    We consider a phenotype-structured model of evolutionary dynamics in a population of cancer cells exposed to the action of a cytotoxic drug. The model consists of a nonlocal parabolic equation governing the evolution of the cell population density function. We develop a novel method for constructing exact solutions to the model equation, which allows for a systematic investigation of the way in which the size and the phenotypic composition of the cell population change in response to variations of the drug dose and other evolutionary parameters. Moreover, we address numerical optimal control for a calibrated version of the model based on biological data from the existing literature, in order to identify the drug delivery schedule that makes it possible to minimise either the population size at the end of the treatment or the average population size during the course of treatment. The results obtained challenge the notion that traditional high-dose therapy represents a “one-fits-all solution” in anticancer therapy by showing that the continuous administration of a relatively low dose of the cytotoxic drug performs more closely to i.e. the optimal dosing regimen to minimise the average size of the cancer cell population during the course of treatment.

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