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• W1532261161 abstract "It has been shown experimentally that contact interactions may influence the migration of cancer cells. Previous works have modelized this thanks to stochastic, discrete models (cellular automata) at the cell level. However, for the study of the growth of real-size tumors with several million cells, it is best to use a macroscopic model having the form of a partial differential equation (PDE) for the density of cells. The difficulty is to predict the effect, at the macroscopic scale, of contact interactions that take place at the microscopic scale. To address this, we use a multiscale approach: starting from a very simple, yet experimentally validated, microscopic model of migration with contact interactions, we derive a macroscopic model. We show that a diffusion equation arises, as is often postulated in the field of glioma modeling, but it is nonlinear because of the interactions. We give the explicit dependence of diffusivity on the cell density and on a parameter governing cell-cell interactions. We discuss in detail the conditions of validity of the approximations used in the derivation, and we compare analytic results from our PDE to numerical simulations and to some in vitro experiments. We notice that the family of microscopic models we started from includes as special cases some kinetically constrained models that were introduced for the study of the physics of glasses, supercooled liquids, and jamming systems." @default.
• W1532261161 created "2016-06-24" @default.
• W1532261161 creator A5062941446 @default.
• W1532261161 creator A5073036164 @default.
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• W1532261161 date "2009-03-25" @default.
• W1532261161 modified "2023-10-11" @default.
• W1532261161 title "Modeling tumor cell migration: From microscopic to macroscopic models" @default.
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• W1532261161 cites W1964589548 @default.
• W1532261161 cites W1969754919 @default.
• W1532261161 cites W1975817152 @default.
• W1532261161 cites W1979767599 @default.
• W1532261161 cites W1984675146 @default.
• W1532261161 cites W1986930956 @default.
• W1532261161 cites W1988171495 @default.
• W1532261161 cites W1989574300 @default.
• W1532261161 cites W1990245134 @default.
• W1532261161 cites W1991233685 @default.
• W1532261161 cites W1994153815 @default.
• W1532261161 cites W1996403177 @default.
• W1532261161 cites W2004744397 @default.
• W1532261161 cites W2008316228 @default.
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• W1532261161 doi "https://doi.org/10.1103/physreve.79.031917" @default.
• W1532261161 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/19391981" @default.
• W1532261161 hasPublicationYear "2009" @default.
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