Rapport (Rapport De Recherche) Année : 2012

Modelling of the migration of endothelial cells on bioactive micropatterned polymers

Résumé

In this paper a macroscopic model describing endothelial cells migration on bioactive micropatterned polymers is presented. It is based on a system of partial differential equations of Patlak-Keller-Segel type that describes the evolution of the cell densities. The model is studied mathematically and numerically. We prove existence and uniqueness results of the solution to the differential system and also that fondamental physical properties such as mass conservation, positivity and boundedness of the solution are satisfied. The numerical study allows us to show that the model behaves in good agreement with the experiments.

Fichier principal
Vignette du fichier
RR-7998.pdf (1.79 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-00709993 , version 1 (19-06-2012)
hal-00709993 , version 2 (21-06-2012)
hal-00709993 , version 3 (09-07-2012)

Licence

Identifiants

  • HAL Id : hal-00709993 , version 2

Citer

Thierry Colin, Marie-Christine Durrieu, Julie Joie, Yifeng Lei, Youcef Mammeri, et al.. Modelling of the migration of endothelial cells on bioactive micropatterned polymers. [Research Report] RR-7998, 2012. ⟨hal-00709993v2⟩
628 Consultations
768 Téléchargements

Partager

  • More