Geodesic
Mathematical model of cancer growth controled by metronomic chemotherapies
N. André1, 2 ; D. Barbolosi1 ; F. Billy3 ; G. Chapuisat4 ; F. Hubert2 ; E. Grenier5 ; A. Rovini1
1 CRO2 - INSERM UMRs 911, Aix-Marseille Université, Faculté de Médecine et Faculté de Pharmacie, 27 Boulevard Jean MOULIN - 13385 Marseille cedex 05, FRANCE
2 Service d’Hématologie et Oncologie Pédiatrique, Hopital pour enfants de La Timone, AP-HM. Metronomics Global Health Initiative, Marseille, France
3 INRIA Paris-Rocquencourt, Domaine de Voluceau, Rocquencourt, B.P. 105, F-78153 Le Chesnay Cedex, France and Université Pierre et Marie Curie, CNRS, UMR 7598, Laboratoire Jacques-Louis Lions, 4, place Jussieu, F-75005, Paris, France
4 LATP UMR 7353, Aix-Marseille Université, 39 rue F. Joliot Curie, 13 453 Marseille cedex 13, FRANCE
5 ENS Lyon, 46 Allée d’Italie 69 007 Lyon, FRANCE
ESAIM. Proceedings, Tome 41 (2013), pp. 77-94.

Voir la notice de l'article provenant de la source EDP Sciences

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.
DOI : 10.1051/proc/201341004

N. André 1, 2 ; D. Barbolosi 1 ; F. Billy 3 ; G. Chapuisat 4 ; F. Hubert 2 ; E. Grenier 5 ; A. Rovini 1

1 CRO2 - INSERM UMRs 911, Aix-Marseille Université, Faculté de Médecine et Faculté de Pharmacie, 27 Boulevard Jean MOULIN - 13385 Marseille cedex 05, FRANCE
2 Service d’Hématologie et Oncologie Pédiatrique, Hopital pour enfants de La Timone, AP-HM. Metronomics Global Health Initiative, Marseille, France
3 INRIA Paris-Rocquencourt, Domaine de Voluceau, Rocquencourt, B.P. 105, F-78153 Le Chesnay Cedex, France and Université Pierre et Marie Curie, CNRS, UMR 7598, Laboratoire Jacques-Louis Lions, 4, place Jussieu, F-75005, Paris, France
4 LATP UMR 7353, Aix-Marseille Université, 39 rue F. Joliot Curie, 13 453 Marseille cedex 13, FRANCE
5 ENS Lyon, 46 Allée d’Italie 69 007 Lyon, FRANCE 
@article{EP_2013_41_a4,
     author = {N. Andr\'e and D. Barbolosi and F. Billy and G. Chapuisat and F. Hubert and E. Grenier and A. Rovini},
     title = {Mathematical model of cancer growth controled by metronomic chemotherapies},
     journal = {ESAIM. Proceedings},
     pages = {77--94},
     publisher = {mathdoc},
     volume = {41},
     year = {2013},
     doi = {10.1051/proc/201341004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201341004/}
}
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N. André; D. Barbolosi; F. Billy; G. Chapuisat; F. Hubert; E. Grenier; A. Rovini. Mathematical model of cancer growth controled by metronomic chemotherapies. ESAIM. Proceedings, Tome 41 (2013), pp. 77-94. doi : 10.1051/proc/201341004. http://geodesic.mathdoc.fr/articles/10.1051/proc/201341004/

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