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A viscoelastic model for avascular tumor growth

Abstract : In this article, we present a continuous model for tumor growth . This model describes the evolution of three cellular densities: the density of sane tissue, cancer cells and extracellular medium. In order to render correctly the cellular division, this model use a discrete description of the cell cycle (the set of steps a cell has to undergo in order to divide) presented in [7]. To render cellular adhesion and the mechanics which may influence the growth, we use a viscoelastic approach. This model extends the one presented in [7] with a more realistic description of the movement.
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https://hal.inria.fr/inria-00267292
Contributor : Olivier Saut <>
Submitted on : Friday, July 10, 2009 - 7:51:54 PM
Last modification on : Thursday, February 11, 2021 - 2:54:02 PM
Long-term archiving on: : Saturday, November 26, 2016 - 10:26:54 AM

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  • HAL Id : inria-00267292, version 4

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Didier Bresch, Thierry Colin, Emmanuel Grenier, Benjamin Ribba, Olivier Saut. A viscoelastic model for avascular tumor growth. [Research Report] 2009. ⟨inria-00267292v4⟩

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