| Type de publication : |
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Preprint, Working Paper, Document sans référence, etc. |
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| Domaine : |
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| Titre : |
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Mathematical Homogenization in the Modelling of Digestion in the Small Intestine |
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| Auteur(s) : |
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Masoomeh Taghipoor ( ) 1, 2, 3, Guy Barles ( ) 1, 3, Christine Georgelin () 1, 3, Jean-René Licois 1, 3, Philippe Lescoat () 2 |
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| Laboratoire : |
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| Résumé : |
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Digestion in the small intestine is the result of complex mechanical and biological phenomena which can be modelled at different scales. In a previous article, we introduced a system of ordinary differential equations for describing the transport and degradation-absorption processes during the digestion. The present article sustains this simplified model by showing that it can be seen as a macroscopic version of more realistic models including biological phenomena at lower scales. In other words, our simplified model can be considered as a limit of more realistic ones by averaging-homogenization methods on biological processes representation. |
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Langue du texte
intégral : |
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Anglais |
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Date de production,
écriture : |
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07/09/2011 |
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| Mots Clés : |
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Digestion in the small intestine – peristalsism – intestinal villi – homogenization – viscosity solutions |
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| Classification : |
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92A09, 35B27, 34C29, 49L25 |
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| Commentaire : |
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27 |
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| Projet(s), collaboration(s) : |
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CaSciModOT, MoDInGre |
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| Contrat, financement : |
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CNRS-INRA, CASciModOT |
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