no. 1
Mathematical Homogenization in the Modelling of Digestion in the Small Intestine
Masoomeh Taghipoor1, 2; Guy Barles2; Christine Georgelin2; Jean-René Licois2; Philippe Lescoat1
1 INRA, UR83 Recherches Avicoles, 37380 Nouzilly, France.
2 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
MathematicS In Action, Volume 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.

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

1 INRA, UR83 Recherches Avicoles, 37380 Nouzilly, France.
2 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 
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Masoomeh Taghipoor; Guy Barles; Christine Georgelin; Jean-René Licois; Philippe Lescoat. Mathematical Homogenization in the Modelling of Digestion in the Small Intestine. MathematicS In Action, Volume 6 (2013) no. 1, pp. 1-19. doi : 10.5802/msia.7. https://msia.centre-mersenne.org/articles/10.5802/msia.7/

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