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Journal Articles Bulletin of Mathematical Biology Year : 2015

Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors

Abstract

Histopathological evidence supports the idea that the emergence of phenotypic heterogeneity and resistance to cytotoxic drugs can be considered as a process of selection in tumor cell populations. In this framework, can we explain intra-tumor heterogeneity in terms of selection driven by the local cell environment? Can we overcome the emergence of resistance and favor the eradication of cancer cells by using combination therapies? Bearing these questions in mind, we develop a model describing cell dynamics inside a tumor spheroid under the effects of cytotoxic and cytostatic drugs. Cancer cells are assumed to be structured as a population by two real variables standing for space position and the expression level of a phenotype of resistance to cytotoxic drugs. The model takes explicitly into account the dynamics of resources and anticancer drugs as well as their interactions with the cell population under treatment. We analyze the effects of space structure and combination therapies on phenotypic heterogeneity and chemotherapeutic resistance. Furthermore, we study the efficacy of combined therapy protocols based on constant infusion and bang-bang delivery of cytotoxic and cytostatic drugs.
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Dates and versions

hal-00921266 , version 1 (21-12-2013)
hal-00921266 , version 2 (12-01-2015)

Identifiers

Cite

Alexander Lorz, Tommaso Lorenzi, Jean Clairambault, Alexandre Escargueil, Benoît Perthame. Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors. Bulletin of Mathematical Biology, 2015, 77 (1), pp.1-22. ⟨10.1007/s11538-014-0046-4⟩. ⟨hal-00921266v2⟩
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