PMID: 9436299Jan 22, 1998Paper

Modelling biological gel contraction by cells: mechanocellular formulation and cell traction force quantification

Acta Biotheoretica
I FerrenqPhilippe Tracqui

Abstract

Traction forces developed by most cell types play a significant role in the spatial organisation of biological tissues. However, due to the complexity of cell-extracellular matrix interactions, these forces are quantitatively difficult to estimate without explicitly considering cell properties and extracellular mechanical matrix responses. Recent experimental devices elaborated for measuring cell traction on extracellular matrix use cell deposits on a piece of gel placed between one fixed and one moving holder. We formulate here a mathematical model describing the dynamic behaviour of the cell-gel medium in such devices. This model is based on a mechanical force balance quantification of the gel visco-elastic response to the traction forces exerted by the diffusing cells. Thus, we theoretically analyzed and simulated the displacement of the free moving boundary of the system under various conditions for cells and gel concentrations. This model is then used as the theoretical basis of an experimental device where endothelial cells are seeded on a rectangular biogel of fibrin cast between two floating holders, one fixed and the other linked to a force sensor. From a comparison of displacement of the gel moving boundary simulated ...Continue Reading

Citations

Jan 1, 2010·Sensors·Bin Li, James H-C Wang
Apr 25, 2012·Journal of Artificial Organs : the Official Journal of the Japanese Society for Artificial Organs·Irza Sukmana
Apr 17, 2001·Laboratory Investigation; a Journal of Technical Methods and Pathology·B VailhéJ J Feige
Jul 4, 2006·Bulletin of Mathematical Biology·A TosinL Preziosi
May 20, 2017·Biomechanics and Modeling in Mechanobiology·Shakti N MenonD L Sean McElwain
Sep 28, 2017·Scientific Reports·Stéphanie M C BruekersWilhelm T S Huck
Apr 18, 2013·Journal of Tissue Engineering and Regenerative Medicine·Karolina Janeczek PortalskaJan de Boer
Jan 5, 2007·Biomechanics and Modeling in Mechanobiology·James H-C Wang, Jeen-Shang Lin
Aug 22, 2014·Journal of the Royal Society, Interface·J C DallonH Paul Ehrlich
Jul 8, 2020·Advances in Wound Care·Shakti N Menon, Jennifer A Flegg
Oct 13, 2012·Annual Review of Cell and Developmental Biology·Gregory H UnderhillSangeeta N Bhatia
Mar 7, 2021·Biomolecules·Viki Raz LepskyAyelet Lesman
Feb 6, 2018·Medical Engineering & Physics·Brooks A LaneJohn F Eberth
May 8, 1999·Mathematical Biosciences·L OlsenJ Dallon
Apr 1, 2000·Comptes rendus de l'Académie des sciences. Série III, Sciences de la vie·J D Murray
Apr 1, 2000·Comptes rendus de l'Académie des sciences. Série III, Sciences de la vie·L Tranqui, P Tracqui
Aug 22, 2002·Comptes rendus biologies·Jonathan A Sherratt, John C Dallon
May 27, 2021·Bulletin of Mathematical Biology·Chiara VillaTommaso Lorenzi
Feb 19, 2004·Journal of Theoretical Biology·Patrick NamyPhilippe Tracqui

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