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2009, Volume 2009: 101-108. Doi: 10.3934/proc.2009.2009.101 open access
This issue Previous Article Stability analysis and bifurcations in a diffusive predator-prey system Next Article Multipulse states in the Swift-Hohenberg equation

A viscoelastic model for avascular tumor growth

  • 1.

    Laboratoire de Mathématiques Appliquées, UMR6620, 24 avenue des Landais, 63177 Aubière

  • 2.

    Mathématiques Appliquées de Bordeaux, CNRS ERS 123 et, Université Bordeaux 1, 351 cours de la libération, 33405 Talence cedex

  • 3.

    Unité de Mathématiques Pures et Appliquées, CNRS UMR 5669, Ecole Normale Supérieure de Lyon, 69364 Lyon cedex

  • 4.

    Université de Lyon 1, Ciblage Thérapeutique en Oncologie, Faculté de Médecine Lyon-Sud, Oullins, F-69921

  • 5.

    Université Bordeaux 1, Institut de Mathématiques, CNRS UMMR 5251, 351 cours de la libération, 33405 Talence Cedex

Received:  July 31, 2008
Revised:  June 30, 2009
Published:  August 2009
Abstract Related Papers Cited by
    Abstract
  • In this article, we present a new continuous model for tumor growth. This model describes the evolution of three components: sane tissue, cancer cells and extracellular medium. In order to render correctly the cellular division, this model uses a discrete description of the cell cycle (the set of steps a cell has to undergo in order to divide). To account for cellular adhesion and the mechanics which may influence the growth, we assume a viscoelastic mechanical behavior. This model extends the one presented in [18] with a more realistic description of the forces that drive the movement.
    Mathematics Subject Classification: Primary: 58A.

    Citation:
    shu

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