Journal article

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

Luis Almeida, Patrizia Bagnerini, Giulia Fabrini, Barry D Hughes, Tommaso Lorenzi

ESAIM. Mathematical modelling and numerical analysis = ESAIM. Modelisation mathematique et analyse numerique : M=2AN | EDP Sciences | Published : 2019

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..

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University of Melbourne Researchers

Grants

Awarded by Australian Research Council


Awarded by project PICS-CNRS


Awarded by French "ANR blanche" project Kibord


Funding Acknowledgements

GF wishes to thank Mauro Gaggero for his insightful comments and suggestions. BDH acknowledges support from the Australian Research Council (DP140100339). LA and TL gratefully acknowledge support of the project PICS-CNRS no. 07688 and the French "ANR blanche" project Kibord: ANR-13-BS01-0004.