Mathematical Homogenization in the Modelling of Digestion in the Small Intestine
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 : https://doi.org/10.5802/msia.7
Classification : 92A09,  35B27,  34C29,  49L25
Mots clés : Digestion in the small intestine, peristalsis, intestinal villi, homogenization, viscosity solutions
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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. https://msia.centre-mersenne.org/articles/10.5802/msia.7/

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