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Article Dans Une Revue SIAM Journal on Scientific Computing Année : 2010

Computational modeling of solid tumor growth: the avascular stage

Résumé

In this paper, we present a mathematical model for avascular tumor growth and its numerical study in two and three dimensions. For this purpose, we use a multiscale model using PDEs to describe the evolution of the tumor cell densities. In our model, cell cycle regulation depends mainly on micro-environment. The cancer growth of volume induces cells motion and tumor expansion. According to biology, cells grow against a basal membrane which interacts mechanistically with the tumor. We use a level set method to describe this membrane and we compute its influence on cell movement thanks to a Stokes equation. The evolution of oxygen, diffusing from blood vessel to cancer cells and used to estimate hypoxia, is given by a stationary diffusion equation solved with a penalization method. The model has been applied to investigate the therapeutic benefit of anti-invasive agents and constitutes now the basis of a numerical platform for tumor growth simulation.
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Dates et versions

inria-00148610 , version 1 (22-05-2007)
inria-00148610 , version 2 (23-11-2007)
inria-00148610 , version 3 (21-04-2009)
inria-00148610 , version 4 (10-12-2009)

Identifiants

  • HAL Id : inria-00148610 , version 4

Citer

Didier Bresch, Thierry Colin, Emmanuel Grenier, Benjamin Ribba, Olivier Saut. Computational modeling of solid tumor growth: the avascular stage. SIAM Journal on Scientific Computing, 2010, 32 (4), pp.2321-2344. ⟨inria-00148610v4⟩
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