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Issue ESAIM: Proc.
Volume 18, 2007
Paris-sud working group on modelling and scientific computing 2006-2007
Page(s) 163 - 180
DOI http://dx.doi.org/10.1051/proc:071814
Published online 12 September 2007

ESAIM: Proc., 2007, Vol. 18, pp. 163-180
DOI: 10.1051/proc:071814

Quelques méthodes de paramètre d'ordre avec applications à la modélisation de processus cancéreux

D. Bresch1, Th. Colin2, E. Grenier3, B. Ribba4, O. Saut5, O. Singh6 and C. Verdier7

1  LAMA, UMR 5127 CNRS, université de Savoie 73376 Le Bourget du lac cedex, France. Email: didier.bresch@univ-savoie.fr
2  Mathématiques Appliquées de Bordeaux, CNRS UMR 5466 and INRIA futurs, Université de Bordeaux I, 251 avenue de la libération, 33405 Talence cedex, France. Email: thierry.colin@math.u-bordeaux.fr
3  U.M.P.A., École Normale Supérieure de Lyon, 46, allée d'Italie, 69364 Lyon Cedex 07, France. Email: egrenier@umpa.ens-lyon.fr
4  Université de Lyon, Lyon, F-69003, France; Université Lyon 1, Ciblage Thérapeutique en Oncologie (EA3738), Faculté de Médecine Lyon-Sud, Oullins, F-69921, France
5  Mathématiques Appliquées de Bordeaux, CNRS UMR 5466 and INRIA futurs, Université de Bordeaux I, 251 avenue de la libération, 33405 Talence cedex, France. Email : olivier.saut@math.u-bordeaux.fr
6  New Jersey Institute of Technology (NJIT), Department of Mechanical Engineering, University Heighs, New Jersey 07102, USA. Email: puspendra.singh@njit.edu
7  Laboratoire de Spectrométrie Physique (SPECTRO), Université Joseph-Fourier UMR 5588, 140 avenue de la physique, 38402 Saint Martin d'Hères cedex, France. Email : claude.verdier@ujf-grenoble.fr


(Published online: 12 September 2007)

Abstract
This paper deals with level set, phase field, diffusive interface methods or more generally methods with scalar order parameter. The goal of these lines is to provide to the reader a unified overview of such technics with various recent applications of such methods to cancerology. We also present some actual open questions.


Résumé
Nous présentons succintement dans ce papier quelques méthodes de paramètre d'ordre scalaire. Le but est de donner au lecteur une vue rapide mais unifiée de ces techniques sans trop de détails avec diverses applications de ces méthodes à la modélisation des processus cancéreux. Nous présentons également quelques questions ouvertes intéressantes.



© EDP Sciences, ESAIM 2007


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