Modelling of the migration of endothelial cells on bioactive micropatterned polymers

Thierry Colin; Marie-Christine Durrieu; Julie Joie; Yifeng Lei; Youcef Mammeri; Clair Poignard; Olivier Saut

hal-00709993, version 3

Modelling of the migration of endothelial cells on bioactive micropatterned polymers

Thierry Colin () ^1, 2, Marie-Christine Durrieu ³, Julie Joie ^1, 2, Yifeng Lei ³, Youcef Mammeri () ^1, 2, Clair Poignard ()^a^, 1, 2, Olivier Saut ^1, 2

N° RR-7998 (2012)

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.

a – INRIA
1 : Institut de Mathématiques de Bordeaux (IMB)
CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II
2 : MC2 (INRIA Bordeaux - Sud-Ouest)
INRIA – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II – CNRS : UMR
3 : Imagerie Moléculaire et Nanobiotechnologies - Institut Européen de Chimie et Biologie (IECB)
CNRS : UMR5471 – Université Sciences et Technologies - Bordeaux I

hal-00709993, version 3
http://hal.inria.fr/hal-00709993
oai:hal.inria.fr:hal-00709993
Contributeur : Clair Poignard <>
Soumis le : Lundi 9 Juillet 2012, 20:16:20
Dernière modification le : Mardi 10 Juillet 2012, 08:35:57

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