A mixture model for the dynamic of the gut mucus layer

Tamara El Bouti; Thierry Goudon; Simon Labarthe; Béatrice Laroche; Bastien Polizzi; Amira Rachah; Magali Ribot; Rémi Tesson

doi:10.1051/proc/201655111

Geodesic

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A mixture model for the dynamic of the gut mucus layer

Tamara El Bouti ¹ ; Thierry Goudon ² ; Simon Labarthe ³ ; Béatrice Laroche ³ ; Bastien Polizzi ² ; Amira Rachah ⁴ ; Magali Ribot ^5,² ; Rémi Tesson ⁶

¹ Université Versailles St-Quentin, CNRS, UMR 8100 Labo. de Mathématiques de Versailles
² Université Côte d’Azur, Inria, CNRS, LJAD
³ MaIAGE, INRA, Université Paris-Saclay, 78350 Jouy-en-Josas, France
⁴ Université Toulouse 3, CNRS, UMR 5219 Institut de Mathématiques de Toulouse
⁵ On leave to Université d’Orléans, CNRS, UMR 7349 MAPMO
⁶ Aix–Marseille Université, CNRS, UMR 7373 Institut de Mathématiques de Marseille

ESAIM. Proceedings, Tome 55 (2016), pp. 111-130.

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Résumé

We introduce a mixture model intended to describe the dynamics of the mucus layer that wraps the gut mucosa. This model takes into account the fluid mechanics of the gut content, the inhomogeneous rheology that depends on the fluid composition, and the main physiological mechanisms that ensure the homoeostasis of the mucus layer. Numerical simulations, based on a finite volume approach, prove the ability of the model to produce a stable steady-state mucus layer. We also perform a sensitivity analysis by using a meta-model based on polynomial chaos in order to identify the main parameters impacting the shape of the mucus layer. The effect of the interaction of the mucus with a population of bacteria is eventually discussed.

DOI : 10.1051/proc/201655111

Affiliations des auteurs :

Tamara El Bouti ¹ ; Thierry Goudon ² ; Simon Labarthe ³ ; Béatrice Laroche ³ ; Bastien Polizzi ² ; Amira Rachah ⁴ ; Magali Ribot ^{5, 2} ; Rémi Tesson ⁶

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     author = {Tamara El Bouti and Thierry Goudon and Simon Labarthe and B\'eatrice Laroche and Bastien Polizzi and Amira Rachah and Magali Ribot and R\'emi Tesson},
     title = {A mixture model for the dynamic of the gut mucus layer},
     journal = {ESAIM. Proceedings},
     pages = {111--130},
     publisher = {mathdoc},
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     year = {2016},
     doi = {10.1051/proc/201655111},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201655111/}
}

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Tamara El Bouti; Thierry Goudon; Simon Labarthe; Béatrice Laroche; Bastien Polizzi; Amira Rachah; Magali Ribot; Rémi Tesson. A mixture model for the dynamic of the gut mucus layer. ESAIM. Proceedings, Tome 55 (2016), pp. 111-130. doi : 10.1051/proc/201655111. http://geodesic.mathdoc.fr/articles/10.1051/proc/201655111/

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