no. 1
Mathematical Homogenization in the Modelling of Digestion in the Small Intestine
Taghipoor, Masoomeh1, 2 ; Barles, Guy1 ; Georgelin, Christine1 ; Licois, Jean-René1 ; Lescoat, Philippe2
1 Laboratoire de Mathématiques et Physique Théorique (UMR CNRS 7350). Fédération Denis Poisson (FR CNRS 2964) Université de Tours. Faculté des Sciences et Techniques, Parc de Grandmont, 37200 Tours, France
2 INRA, UR83 Recherches Avicoles, 37380 Nouzilly, France.
MathematicS In Action, Tome 6 (2013) no. 1, pp. 1-19.

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.

Publié le :
DOI : 10.5802/msia.7
Classification : 92A09, 35B27, 34C29, 49L25
Mots clés : Digestion in the small intestine, peristalsis, intestinal villi, homogenization, viscosity solutions
Taghipoor, Masoomeh 1, 2 ; Barles, Guy 1 ; Georgelin, Christine 1 ; Licois, Jean-René 1 ; Lescoat, Philippe 2

1 Laboratoire de Mathématiques et Physique Théorique (UMR CNRS 7350). Fédération Denis Poisson (FR CNRS 2964) Université de Tours. Faculté des Sciences et Techniques, Parc de Grandmont, 37200 Tours, France
2 INRA, UR83 Recherches Avicoles, 37380 Nouzilly, France. 
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Taghipoor, Masoomeh; Barles, Guy; Georgelin, Christine; Licois, Jean-René; Lescoat, Philippe. Mathematical Homogenization in the Modelling of Digestion in the Small Intestine. MathematicS In Action, Tome 6 (2013) no. 1, pp. 1-19. doi : 10.5802/msia.7. http://www.numdam.org/articles/10.5802/msia.7/

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