Discrete and continuum phenotype-structured models for the evolution of cancer cell populations under chemotherapy
MetadataShow full item record
We present a stochastic individual-based model for the phenotypic evolution of cancer cell populations under chemotherapy. In particular, we consider the case of combination cancer therapy whereby a chemotherapeutic agent is administered as the primary treatment and an epigenetic drug is used as an adjuvant treatment. The cell population is structured by the expression level of a gene that controls cell proliferation and chemoresistance. In order to obtain an analytical description of evolutionary dynamics, we formally derive a deterministic continuum counterpart of this discrete model, which is given by a nonlocal parabolic equation for the cell population density function. Integrating computational simulations of the individual-based model with analysis of the corresponding continuum model, we perform a complete exploration of the model parameter space. We show that harsher environmental conditions and higher probabilities of spontaneous epimutation can lead to more effective chemotherapy, and we demonstrate the existence of an inverse relationship between the efficacy of the epigenetic drug and the probability of spontaneous epimutation. Taken together, the outcomes of the model provide theoretical ground for the development of anticancer protocols that use lower concentrations of chemotherapeutic agents in combination with epigenetic drugs capable of promoting the re-expression of epigenetically regulated genes.
Stace , R E A , Stiehl , T , Chaplain , M A J , Marciniak-Czochra , A & Lorenzi , T 2020 , ' Discrete and continuum phenotype-structured models for the evolution of cancer cell populations under chemotherapy ' , Mathematical Modelling of Natural Phenomena , vol. 15 , 14 . https://doi.org/10.1051/mmnp/2019027
Mathematical Modelling of Natural Phenomena
Copyright © 2020 EDP Sciences. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1051/mmnp/2019027
DescriptionFunding: German Research Foundation DFG (SFB 873; subproject B08) (T.S. and A.M.-C); Heidelberg Graduate School (T.L.).
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.