The impact of cell density and mutations in a model of multidrug resistance in solid tumors. (English) Zbl 1329.92055
Summary: In this paper we develop a mathematical framework for describing multidrug resistance in cancer. To reflect the complexity of the underlying interplay between cancer cells and the therapeutic agent, we assume that the resistance level is a continuous parameter. Our model is written as a system of integro-differential equations that are parameterized by the resistance level. This model incorporates the cell density and mutation dependence. Analysis and simulations of the model demonstrate how the dynamics evolves to a selection of one or more traits corresponding to different levels of resistance. The emerging limit distribution with nonzero variance is the desirable modeling outcome as it represents tumor heterogeneity.
MSC:
| 92C50 | Medical applications (general) |
Keywords:
multidrug resistance; chemotherapy; mutation; heterogeneity; integro-differential equationsReferences:
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