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Mathematical Homogenization in the Modelling of Digestion in the Small Intestine

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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Contributor : Masoomeh Taghipoor <>
Submitted on : Wednesday, September 7, 2011 - 6:41:29 PM
Last modification on : Monday, April 19, 2021 - 1:22:19 PM
Long-term archiving on: : Tuesday, November 13, 2012 - 10:06:05 AM


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  • HAL Id : hal-00620494, version 1
  • ARXIV : 1109.1910




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, Société de Mathématiques Appliquées et Industrielles, 2013, 6 (1), pp.1-19. ⟨hal-00620494⟩



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