1. Modeling of the migration of endothelial cells on bioactive micropatterned polymers.
- Author
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Colin T, Durrieu MC, Joie J, Lei Y, Mammeri Y, Poignard C, and Saut O
- Subjects
- Cell Adhesion drug effects, Cell Movement drug effects, Computer Simulation, Biocompatible Materials pharmacology, Cell Adhesion physiology, Cell Movement physiology, Endothelial Cells cytology, Endothelial Cells drug effects, Models, Biological, Tissue Engineering methods
- 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.
- Published
- 2013
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