Modingre Project
The Modingre project forms a part of a CNRS-INRA PEPS program “Compréhension et Modélisation du devenir de l’aliment dans le tube digestif”.
The objective of this project is to give a general model of digestion processus in the small intestine.
The pluridisciplinary collaboration on this research project between the INRA Center of Nouzilly and the Laboratoire de Mathématiques et Physique Théorique was initiated within and supported by the CaSciModOT program (CAlcul SCIentifique et MODélisation des universités d’Orléans et de Tours) which is now a Cluster of the french Région Centre. Here we present a summary of the project progress:
The model of digestion
The first steps in the modeling of digestion in the article published in the Journal of Theoretical Biology. We describe a mathematical modeling of the digestion in the small intestine. The main interest of our work is to consider, at the same time, different aspects of the digestion i.e. the transport of the bolus all along the intestine, feedstuffs degradation according to the enzymes and local physical conditions, and nutrients absorption. A system of coupled ordinary differential equations is used to model these phenomena. The major unknowns of this system are the position of the bolus and its composition. This system of equations is solved numerically. We present different numerical computations for the degradation, absorption and transport of the bolus with acceptable accuracy with experimental data. The main feature and interest of this model are its generality. Even if we are at an early stage of development, our approach can be adapted to treat any kind of feedstuffs in any non-ruminant animal to predict the composition and velocity of bolus in the small intestine. The pdf file and the LaTex file of this publication is available on the CNRS HAL preprints server, Mathematical Modeling of Transport and Degradation of Feedstuffs in the Small Intestine
The intestinal villi and mathematical homogenization
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In the first article article, we introduced a system of ordinary differential equations for describing the transport and degradation-absorption processes during the digestion. The second 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. The pdf file and the LaTex file of this publication is available on the CNRS HAL preprints server, Mathematical Homogenization in the Modelling of Digestion in the Small Intestine.
Numerical simulation
- You can perform your own numerical experiments, with the possibility of changing the parameters, using our Scilab software online at the Click here for an english-american version, Cliquer ici pour une version française.
Conference presentation slides
- A collection of some of the slide presentations that have been made to describe the progress of our research.
| Fichier attaché | Taille |
|---|---|
| Présentation Journée CASCIMODOT 11 décembre 2008 | 1.55 Mo |
| Présentation Département PHASE de l'INRA 2 février 2009 | 1.03 Mo |
| Journée de cascimodot 2010 Orléans France | 1.49 Mo |
| journée AtmosPHASE INRA 2010 Paris France | 609.69 Ko |
| SMAI mai 2011 Guidel France | 349.14 Ko |
| Poster | 2.17 Mo |
| journée AtmosPHASE INRA 2012 Paris France | 1.14 Mo |
| 8 European Conference on Mathematical and Theoretical Biology Cracovie Pologne | 843.58 Ko |
