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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 diff erent scales. In a previous article, we introduced a system of ordinary diff erential equations for describing the transport and degradation-absorption processes during the digestion. The present article sustains this simplifi ed 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 simpli ed 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, G. Barles, Christine Georgelin, J.R. 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. ⟨10.5802/msia.7⟩. ⟨hal-01594169⟩

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