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
Contributeur : Masoomeh Taghipoor <>
Soumis le : mercredi 7 septembre 2011 - 18:41:29
Dernière modification le : jeudi 7 février 2019 - 14:20:57
Document(s) archivé(s) le : mardi 13 novembre 2012 - 10:06:05

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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. 〈http://msia.cedram.org/presentation.php?lang=en〉. 〈hal-00620494〉

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