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A 1D model of leukocyte adhesion coupling bond dynamics with blood velocity.

Authors
  • Grec, Bérénice1
  • Maury, Bertrand2
  • Meunier, Nicolas3
  • Navoret, Laurent4
  • 1 MAP5, UMR CNRS 8145, Université Paris Descartes, Sorbonne Paris Cité, 45 rue des Saints Pères, Paris Cedex 6 75270, France. Electronic address: [email protected] , (France)
  • 2 Laboratoire de Mathématiques d'Orsay, Université Paris-Sud, Orsay Cedex, 91405 France. Electronic address: [email protected] , (France)
  • 3 MAP5, UMR CNRS 8145, Université Paris Descartes, Sorbonne Paris Cité, 45 rue des Saints Pères, Paris Cedex 6 75270, France. Electronic address: [email protected] , (France)
  • 4 IRMA, UMR 7501, Université de Strasbourg et CNRS, 7 rue René Descartes, Strasbourg 67000, France. Electronic address: [email protected] , (France)
Type
Published Article
Journal
Journal of Theoretical Biology
Publisher
Elsevier
Publication Date
Sep 07, 2018
Volume
452
Pages
35–46
Identifiers
DOI: 10.1016/j.jtbi.2018.02.021
PMID: 29571710
Source
Medline
Language
English
License
Unknown

Abstract

Cell adhesion on the vascular wall is a highly coupled process where blood flow and adhesion dynamics are closely linked. Cell dynamics in the vicinity of the vascular wall is driven mechanically by the competition between the drag force of the blood flow and the force exerted by the bonds created between the cell and the wall. Bonds exert a friction force. Here, we propose a mathematical model of such a competitive system, namely leukocytes whose capacity to create bonds with the vascular wall and transmigratory ability are coupled by integrins and chemokines. The model predicts that this coupling gives rise to a dichotomic cell dynamic, whereby cells switch from sliding to firm arrest, through non linear effects. Cells can then transmigrate through the wall. These predicted dynamic regimes are compared to in-vitro trajectories of leukocytes. We expect that competition between friction and drag force in particle dynamics (such as shear stress-controlled nanoparticle capture) can lead to similar dichotomic mode. Copyright © 2018 Elsevier Ltd. All rights reserved.

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