Mathematical model of cancer growth controled by metronomic chemotherapies

Abstract : We propose in this article to compare the efficiency of two chemotherapeutic schedules: the traditional and the metronomic. For this, we develop a new mathematical model describing the growth dynamics of tumor and endothelial cells as well as the impact of molecules as oxygen or vascular endothelial growth factor on this dynamics. The model construction: biological assumptions, description of the equations and their discretization, constitutes the core of the article. Numerical experiments illustrate the expected behavior of the disease under the two chemotherapeutic schedules.
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Submitted on : Tuesday, December 17, 2013 - 8:42:13 PM
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Nicolas Andre, Dominique Barbolosi, Frédérique Billy, Guillemette Chapuisat, Florence Hubert, et al.. Mathematical model of cancer growth controled by metronomic chemotherapies. CANUM 2012, 41e Congrès National d'Analyse Numérique, May 2012, Superbesse, France. pp.77-94, ⟨10.1051/proc/201341004⟩. ⟨hal-00751645v2⟩



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