A PDMP model of the epithelial cell turn-over in the intestinal crypt including microbiota-derived regulations

Léo Darrigade (1) , Marie Haghebaert (1) , Claire Cherbuy (2) , Simon Labarthe (1, 3) , Béatrice Laroche (1, 4)

1 MaIAGE - Mathématiques et Informatique Appliquées du Génome à l'Environnement [Jouy-En-Josas]
2 MICALIS - MICrobiologie de l'ALImentation au Service de la Santé
3 PLEIADE - Pleiade, from patterns to models in computational biodiversity and biotechnology
4 MUSCA - Dynamiques de populations multi-échelles pour des systèmes physiologiques

Human health and physiology is strongly influenced by interactions between human cells and intestinal microbiota in the gut. In mammals, the host-microbiota crosstalk is mainly mediated by regulations at the intestinal crypt level: the epithelial cell turnover in the crypts is directly influenced by metabolites produced by the microbiota. Conversely, the colonocytes maintain hypoxia in the gut, favorable to anaerobic bacteria which dominate the gut microbiota. We constructed an individual-based model of epithelial cells interacting with the microbiota-derived chemicals diffusing in the crypt lumen. This model is formalized as a piecewise deterministic Markov process (PDMP). It accounts for local interactions due to cell contact (among which are mechanical interactions), for cell proliferation, differentiation and extrusion which are regulated spatially or by chemicals concentrations. It also includes chemicals diffusing and reacting with cells. A deterministic approximated model is also introduced

Mots clés: Piecewise Deterministic Markov Processes; Porous Media Equation; Crypt model; Host-microbiota interactions

Domaines: Probabilités [math.PR]; Bio-Informatique, Biologie Systémique [q-bio.QM]

Léo Darrigade, Marie Haghebaert, Claire Cherbuy, Simon Labarthe, Béatrice Laroche. A PDMP model of the epithelial cell turn-over in the intestinal crypt including microbiota-derived regulations. 2021. ⟨hal-03379023v1⟩