Displaying similar documents to “Modelling of Cancer Growth, Evolution and Invasion: Bridging Scales and Models”

A Spatial Model of Tumor Growth with Cell Age, Cell Size, and Mutation of Cell Phenotypes

J. Dyson, R. Villella-Bressan, G. Webb (2010)

Mathematical Modelling of Natural Phenomena

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A model of tumor growth in a spatial environment is analyzed. The model includes proliferating and quiescent compartments of tumor cells indexed by successively mutated cell phenotypes of increasingly proliferative aggressiveness. The model incorporates spatial dependence due to both random motility and directed movement haptotaxis. The model structures tumor cells by both cell age and cell size. The model consists of a system of nonlinear partial differential equations for the compartments...