A. Habbal ; P.-E. Jabin - Two Short Presentations related to Cancer Modeling

arima:1919 - Revue Africaine de Recherche en Informatique et Mathématiques Appliquées, October 29, 2009, Volume 10, 2008 - 2009 - https://doi.org/10.46298/arima.1919
Two Short Presentations related to Cancer Modeling

Authors: A. Habbal 1; P.-E. Jabin 1

  • 1 Laboratoire Jean Alexandre Dieudonné

This paper contains two short presentations related to the mathematical modeling of Cancer. The first part intends to introduce a tumour-immune system interaction, which describes the early dynamics of cancerous cells, competing with the immune system, potentially leading to either the elimination of tumoral cells or to the viability of a solid tumor. The second part of the paper addresses the case where a solid tumor has grown enough to initiate angiogenesis, a process which equips the tumor with its own blood network. Nash game theory is used to model the interaction between activators and inhibitors of the angiogenesis process.

Volume: Volume 10, 2008 - 2009
Published on: October 29, 2009
Submitted on: April 6, 2009
Keywords: RTM, VOF, CV/FEM, simulation, ftumor, immune cells, competition, angiogenesis, Nash games, topology optimization.,[INFO] Computer Science [cs],[MATH] Mathematics [math]

Linked publications - datasets - softwares

Source : ScholeXplorer IsRelatedTo DOI 10.1007/s002850000033
Source : ScholeXplorer IsRelatedTo PMID 10945645
  • 10.1007/s002850000033
  • 10945645
A mathematical model of the stress induced during avascular tumour growth.

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