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.
DOI : 10.5802/msia.7
Keywords: Digestion in the small intestine, peristalsis, intestinal villi, homogenization, viscosity solutions
Masoomeh Taghipoor 1 , 2 ; Guy Barles 2 ; Christine Georgelin 2 ; Jean-René Licois 2 ; Philippe Lescoat 1
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, Tome 6 (2013) no. 1, pp. 1-19. doi: 10.5802/msia.7
@article{MSIA_2013__6_1_1_0,
author = {Masoomeh Taghipoor and Guy Barles and Christine Georgelin and Jean-Ren\'e Licois and Philippe Lescoat},
title = {Mathematical {Homogenization} in the {Modelling} of {Digestion} in the {Small} {Intestine}},
journal = {MathematicS In Action},
pages = {1--19},
year = {2013},
publisher = {Soci\'et\'e de Math\'ematiques Appliqu\'ees et Industrielles},
volume = {6},
number = {1},
doi = {10.5802/msia.7},
zbl = {1350.92011},
mrnumber = {3084696},
language = {en},
url = {https://msia.centre-mersenne.org/articles/10.5802/msia.7/}
}
TY - JOUR AU - Masoomeh Taghipoor AU - Guy Barles AU - Christine Georgelin AU - Jean-René Licois AU - Philippe Lescoat TI - Mathematical Homogenization in the Modelling of Digestion in the Small Intestine JO - MathematicS In Action PY - 2013 SP - 1 EP - 19 VL - 6 IS - 1 PB - Société de Mathématiques Appliquées et Industrielles UR - https://msia.centre-mersenne.org/articles/10.5802/msia.7/ DO - 10.5802/msia.7 LA - en ID - MSIA_2013__6_1_1_0 ER -
%0 Journal Article %A Masoomeh Taghipoor %A Guy Barles %A Christine Georgelin %A Jean-René Licois %A Philippe Lescoat %T Mathematical Homogenization in the Modelling of Digestion in the Small Intestine %J MathematicS In Action %D 2013 %P 1-19 %V 6 %N 1 %I Société de Mathématiques Appliquées et Industrielles %U https://msia.centre-mersenne.org/articles/10.5802/msia.7/ %R 10.5802/msia.7 %G en %F MSIA_2013__6_1_1_0
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