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arXiv · 1109.1910

Mathematical Homogenization in the Modelling of Digestion in the Small Intestine

Masoomeh Taghipoor·Guy Barles·Christine Georgelin·Jean-René Licois·Philippe Lescoat
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Abstract

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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Masoomeh Taghipoor, Guy Barles, Christine Georgelin, Jean-René Licois, Philippe Lescoat. 2011-09-09. Mathematical Homogenization in the Modelling of Digestion in the Small Intestine. https://arxiv.org/abs/1109.1910

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