Migration and orientation of endothelial cells on micropatterned polymers: A simple model based on classical mechanics

Julie Joie 1 Yifeng Lei 2 Marie-Christine Durrieu 3 Thierry Colin 1, 4, 5 Clair Poignard 1, 5 Olivier Saut 1, 5
1 IMB - Institut de Mathématiques de Bordeaux
2 Department of Civil Engineering
3 CBMN - Chimie et Biologie des Membranes et des Nanoobjets
4 UB - Université de Bordeaux
5 MONC - Modélisation Mathématique pour l'Oncologie
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest, Institut Bergonié - CRLCC Bordeaux
Abstract : Understanding the endothelial cell migration on micropatterned polymers, as well as the cell orientation is a critical issue in tissue engineering, since it is the preliminary step towards cell polarization and that possibly leads to the blood vessel formation. In this paper, we derive a simple agent-based model to describe the migration and the orientation of endothelial cells seeded on bioactive micropatterned polymers. The aim of the modeling is to provide a simple model that corroborates quantitatively the experiments, without considering the complex phenomena inherent to cell migration. Our model is obtained thanks to a classical mechanics approach based on experimental observations. Even though its simplicity, it provides numerical results that are quantitatively in accordance with the experimental data, and thus our approach can be seen as a preliminary way towards a simple modeling of cell migration.
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Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2015, 20 (4), 〈10.3934/dcdsb.2015.20.1059〉
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https://hal.inria.fr/hal-01203488
Contributeur : Clair Poignard <>
Soumis le : mercredi 23 septembre 2015 - 10:59:36
Dernière modification le : jeudi 11 janvier 2018 - 06:27:21

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Julie Joie, Yifeng Lei, Marie-Christine Durrieu, Thierry Colin, Clair Poignard, et al.. Migration and orientation of endothelial cells on micropatterned polymers: A simple model based on classical mechanics. Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2015, 20 (4), 〈10.3934/dcdsb.2015.20.1059〉. 〈hal-01203488〉

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