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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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https://hal.archives-ouvertes.fr/hal-00620494
Contributor : Masoomeh Taghipoor <>
Submitted on : Wednesday, September 7, 2011 - 6:41:29 PM
Last modification on : Tuesday, March 17, 2020 - 2:49:57 AM
Document(s) archivé(s) le : Tuesday, November 13, 2012 - 10:06:05 AM

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

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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. MathS In Action, 2013, 6 (1), pp.1-19. ⟨hal-00620494⟩

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