Geodesic
Mucus dynamics subject to air and wall motion
S. Enault1 ; D. Lombardi2 ; P. Poncet3 ; M. Thiriet4
1 ENS Lyon, UMPA, CNRS UMR 5669, 46 allée d’Italie, F-69364 Lyon Cedex 7, France
2 Bordeaux Institute of Mathematics, CNRS UMR 5251, Univ. Bordeaux 1, 351, cours de la Libération, F-33405 Talence Cedex, France
3 Toulouse Institute of Mathematics, CNRS UMR 5219, Team MIP, Dept. GMM, INSA, 135 avenue de Rangueil, F-31077 Toulouse, France
4 INRIA Project REO, Lab. Jacques-Louis Lions, CNRS UMR 7598, Univ. P. et M. Curie, Boite courrier 187, F-75252 Paris Cedex 5, France
ESAIM. Proceedings, Tome 30 (2010), pp. 124-141.

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This study presents a numerical investigation of basic interactions between respiratory mucus motion, air circulation and epithelium ciliated cells vibration. One focuses on identification of meaningful rheological parameters, physiological and numerical simulation dimensioning. These preliminary results are crucial before the study of more general configurations of respiratory mucus motion. The numerical study presented in this work aims at providing a first numerical tool able to simulate the effects of mucus mobility and its ability to carry out pathogens or to deliver aerosol therapy to membrane wall cells. Momentum diffusion is identified as the dominant effect, as expected in this micrometer scale configuration, and its associate momentum diffusion operator is shown to be extremely stiff. Furthermore, epithelium vibration is shown to be much more efficient than air circulation for mucus propulsion.
DOI : 10.1051/proc/2010010

S. Enault 1 ; D. Lombardi 2 ; P. Poncet 3 ; M. Thiriet 4

1 ENS Lyon, UMPA, CNRS UMR 5669, 46 allée d’Italie, F-69364 Lyon Cedex 7, France
2 Bordeaux Institute of Mathematics, CNRS UMR 5251, Univ. Bordeaux 1, 351, cours de la Libération, F-33405 Talence Cedex, France
3 Toulouse Institute of Mathematics, CNRS UMR 5219, Team MIP, Dept. GMM, INSA, 135 avenue de Rangueil, F-31077 Toulouse, France
4 INRIA Project REO, Lab. Jacques-Louis Lions, CNRS UMR 7598, Univ. P. et M. Curie, Boite courrier 187, F-75252 Paris Cedex 5, France 
@article{EP_2010_30_a9,
     author = {S. Enault and D. Lombardi and P. Poncet and M. Thiriet},
     title = {Mucus dynamics subject to air and wall motion},
     journal = {ESAIM. Proceedings},
     pages = {124--141},
     publisher = {mathdoc},
     volume = {30},
     year = {2010},
     doi = {10.1051/proc/2010010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/2010010/}
}
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S. Enault; D. Lombardi; P. Poncet; M. Thiriet. Mucus dynamics subject to air and wall motion. ESAIM. Proceedings, Tome 30 (2010), pp. 124-141. doi : 10.1051/proc/2010010. http://geodesic.mathdoc.fr/articles/10.1051/proc/2010010/

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