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Mathematical Homogenization in the Modelling of Digestion in the Small Intestine
Masoomeh Taghipoor ( ) 1, 2, 3, Guy Barles 1, 3, Christine Georgelin 1, 3, Jean-René Licois 1, 3, Philippe Lescoat 2
CaSciModOT, MoDInGre Collaboration(s)
(07/09/2011)

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.
1 :  Laboratoire de Mathématiques et Physique Théorique (LMPT)
Université François Rabelais - Tours – CNRS : UMR7350
2 :  Recherches Avicoles (SRA)
Institut national de la recherche agronomique (INRA) : UR0083
3 :  Fédération de recherche Denis Poisson (FRDP)
CNRS : FR2964 – Université d'Orléans
Mathématiques/Equations aux dérivées partielles

Sciences du Vivant/Alimentation et Nutrition
Digestion in the small intestine – peristalsism – intestinal villi – homogenization – viscosity solutions
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