Modeling of the migration of endothelial cells on bioactive micropatterned polymers

Modeling of the migration of endothelial cells on bioactive micropatterned polymers

Blog Article

In this paper, a macroscopic model describing endothelial cellmigration on bioactive micropatterned polymers is presented.It isbased on a system of partial differential equations ofPatlak-Keller-Segel type that describes theevolution of the navy blue lantern cell densities.The model is studiedmathematically and numerically.

We prove existence and uniquenessresults of the solution to the differential system.We also show thatfundamental physical properties such as mass conservation, positivityand boundedness of the solution are satisfied.The numerical study allows us to show that the mapale dress modeling results are in good agreement with the experiments.