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2009, Volume 12, Issue 4: 731-767. Doi: 10.3934/dcdsb.2009.12.731
This issue Previous Article Homogenization in domains randomly perforated along the boundary Next Article Automated computation of robust normal forms of planar analytic vector fields

A model describing the growth and the size distribution of multiple metastatic tumors

  • 1.

    Equipe-Projet SIMPAF, Centre de Recherche INRIA Lille Nord Europe, Parc Scientifique de la Haute Borne, 40, avenue Halley B.P. 70478, F-59658 Villeneuve d'Ascq cedex

Received:  June 30, 2008
Revised:  June 30, 2009
Published:  October 2009
Abstract Related Papers Cited by
    Abstract
  • Cancer is one of the greatest killers in the world, particularly in western countries. A lot of the effort of the medical research is devoted to cancer and mathematical modeling must be considered as an additional tool for the physicians and biologists to understand cancer mechanisms and to determine the adapted treatments. Metastases make all the seriousness of cancer. In 2000, Iwata et al. [9] proposed a model which describes the evolution of an untreated metastatic tumors population. We provide here a mathematical analysis of this model which brings us to the determination of a Malthusian rate characterizing the exponential growth of the population. We provide as well a numerical analysis of the PDE given by the model.
    Mathematics Subject Classification: Primary: 35B40, 35Q80, 92C50, 65M99; Secondary: 35L50.

    Citation:
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