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Reports (Research Report) Year : 2009

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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Dates and versions

inria-00267292 , version 1 (27-03-2008)
inria-00267292 , version 2 (21-04-2008)
inria-00267292 , version 3 (01-09-2008)
inria-00267292 , version 4 (10-07-2009)

Identifiers

  • HAL Id : inria-00267292 , version 4

Cite

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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