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.
Complete list of metadatas

Cited literature [59 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00751645
Contributor : Frédérique Billy <>
Submitted on : Tuesday, December 17, 2013 - 8:42:13 PM
Last modification on : Wednesday, November 20, 2019 - 7:35:39 AM
Long-term archiving on: Saturday, April 8, 2017 - 7:38:50 AM

File

proceeding_angio_rev.pdf
Files produced by the author(s)

Identifiers

Citation

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⟩

Share

Metrics

Record views

1117

Files downloads

483