title: Modeling of the migration of endothelial cells on bioactive micropatterned polymers.
abstract: In this paper, a macroscopic model describing endothelial cell 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. We also show that fundamental physical properties such as mass conservation, positivity and boundedness of the solution are satisfied. The numerical study allows us to show that the modeling results are in good agreement with the experiments.
authors.affiliation: Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France. colin@math.u-bordeaux1.fr
authors.forename: Thierry
authors.initials: T
authors.lastname: Colin
authors.forename: Marie-Christine
authors.initials: MC
authors.lastname: Durrieu
authors.forename: Julie
authors.initials: J
authors.lastname: Joie
authors.forename: Yifeng
authors.initials: Y
authors.lastname: Lei
authors.forename: Youcef
authors.initials: Y
authors.lastname: Mammeri
authors.forename: Clair
authors.initials: C
authors.lastname: Poignard
authors.forename: Olivier
authors.initials: O
authors.lastname: Saut
mesh_terms: D001672:Biocompatible Materials / Q000494:pharmacology*; D002448:Cell Adhesion / Q000187:drug effects / Q000502:physiology*; D002465:Cell Movement / Q000187:drug effects / Q000502:physiology*; D003198:Computer Simulation; D042783:Endothelial Cells / Q000166:cytology* / Q000187:drug effects*; D008954:Models, Biological; D023822:Tissue Engineering / Q000379:methods*
chemical_list: D001672:Biocompatible Materials