Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching

We develop a thermodynamically consistent mixture model for avascular solid tumor growth which takes into account the effects of cell-to-cell adhesion, and taxis inducing chemical and molecular species. The mixture model is well-posed and the governing equations are of Cahn-Hilliard type. When there...

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Veröffentlicht in:Journal of mathematical biology 2009-04, Vol.58 (4-5), p.723-763
Hauptverfasser: Cristini, Vittorio, Li, Xiangrong, Lowengrub, John S, Wise, Steven M
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Sprache:eng
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