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Université d'Orléans |  |
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Université d'Orléans | |
| HAL : hal-00620494, version 1 |
| arXiv : 1109.1910 |
| Fiche détaillée |  Récupérer au format |
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| Mathematical Homogenization in the Modelling of Digestion in the Small Intestine |
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Masoomeh Taghipoor 1, 2, 3Guy Barles 1, 3 |
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| CaSciModOT, MoDInGre Collaboration(s) |
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| (07/09/2011) |
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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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| 1 : | Laboratoire de Mathématiques et Physique Théorique (LMPT) |
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CNRS : UMR6083 – Université François Rabelais - Tours |
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| 2 : | Recherches Avicoles (SRA) |
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Institut national de la recherche agronomique (INRA) : UR0083 |
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| 3 : | Fédération de recherche Denis Poisson (FRDP) |
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CNRS : FR2964 – Université d'Orléans – Université François Rabelais - Tours |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles Sciences du Vivant/Alimentation et Nutrition |
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| Digestion in the small intestine – peristalsism – intestinal villi – homogenization – viscosity solutions |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00620494, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00620494 | |
| oai:hal.archives-ouvertes.fr:hal-00620494 | |
| Contributeur : Masoomeh Taghipoor | |
| Soumis le : Mercredi 7 Septembre 2011, 18:41:29 | |
| Dernière modification le : Mercredi 16 Janvier 2013, 16:32:21 | |
