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Issue ESAIM: Proc.
Volume 14, 2005
CEMRACS 2004 - Mathematics and applications to biology and medicine
Page(s) 41 - 47
DOI http://dx.doi.org/10.1051/proc:2005004

ESAIM: Proc., September 2005, Vol. 14, pp. 41-47
DOI: 10.1051/proc:2005004

A Modeling of Biospray for the Upper Airways

C. Baranger1, L. Boudin2, P.-E. Jabin3 and S. Mancini4

1  CMLA, CNRS UMR 8536, ENS de Cachan, 61 avenue du Président Wilson, 94235 Cachan CEDEX, France, Celine.Baranger@cmla.ens-cachan.fr
2  Lab. J.-L. Lions, CNRS UMR 7598, Univ. Paris-V I Pierre et Marie Curie, B.C. 187, 75252 Paris CEDEX 05, France, laurent.boudin@upmc.fr
3  Lab. J.-A. Dieudonné, CNRS UMR 6621, Univ. Nice - Sophia-Antipolis, Parc Valrose, 06108 Nice CEDEX 02, France, jabin@math.unice.fr
4  MAPMO, CNRS UMR 6628, Univ. Orléans, B.P. 6 759, 45067 Orléans CEDEX 2, France, simona.mancini@univ-orleans.fr


Abstract
We here deal with a model of therapeutic sprays for the upper airways. We aim to model both inhaled and injected sprays. We propose a numerical solver for the kinetic equation which underlies our model, using a particle method. Eventually, we present two numerical tests for simple geometries of the airways.


Résumé
Nous proposons dans ce travail une modélisation du comportement d'un brouillard de gouttelettes à but thérapeutique dans les voies respiratoires supérieures. Notre objectif est de mettre en place un modèle pouvant représenter à la fois des sprays inhalés et des sprays injectés. Ce modèle est porté par une équation cinétique, pour laquelle nous présentons une résolution numérique par méthode particulaire. Enfin, nous donnons deux cas-tests pour des conduits respiratoires à géométrie simple.


Mathematics Subject Classification. 62P10, 46N60, 92B05

Key words: Spray, breath, kinetic equation, particle method, numerical simulation


© EDP Sciences, ESAIM 2005


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