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Two Short Presentations related to Cancer Modeling

Abstract : 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.
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A. Habbal, P.-E. Jabin. Two Short Presentations related to Cancer Modeling. Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2009, Volume 10, 2008 - 2009, pp.19-28. ⟨10.46298/arima.1919⟩. ⟨hal-01278770⟩

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