2011
DOI: 10.1209/0295-5075/96/28003
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Substrate rigidity deforms and polarizes active gels

Abstract: We present a continuum model of the coupling between cells and substrate that accounts for some of the observed substrate-stiffness dependence of cell properties. The cell is modeled as an elastic active gel, adapting recently developed continuum theories of active viscoelastic fluids. The coupling to the substrate enters as a boundary condition that relates the cell's deformation field to local stress gradients. In the presence of activity, the coupling to the substrate yields spatially inhomogeneous contract… Show more

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Cited by 46 publications
(58 citation statements)
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“…Because of the simple spatial trends of traction stresses observed in colonies with and without intercellular adhesions, we examined whether a minimal physical model could reproduce the experimental results. We model each cell in a colony as a homogeneous and isotropic elastic material (48,49). In our model, each cell exerts a contractile "pressure" opposed by strong adhesion to a compliant substrate (50).…”
Section: Cadherin-based Adhesions Are Required For Organization Of Trmentioning
confidence: 99%
“…Because of the simple spatial trends of traction stresses observed in colonies with and without intercellular adhesions, we examined whether a minimal physical model could reproduce the experimental results. We model each cell in a colony as a homogeneous and isotropic elastic material (48,49). In our model, each cell exerts a contractile "pressure" opposed by strong adhesion to a compliant substrate (50).…”
Section: Cadherin-based Adhesions Are Required For Organization Of Trmentioning
confidence: 99%
“…This type of cell motion has been reproduced in vitro [2] and has been the subject of many modelling studies [3][4][5].…”
Section: Introductionmentioning
confidence: 98%
“…Radial displacement profiles are fitted to a model (Banerjee and Marchetti, 2011;Banerjee et al, 2014;Edwards and Schwarz, 2011;German et al, 2012;Mertz et al, 2012Mertz et al, , 2013 describing drying SC as a shrinking linear elastic circular disk of time varying thickness h SC , radius R and elastic modulus E SC adhered to a deformable elastic substrate. Reported values of porcine SC elastic modulus established using this model fitting technique fall within the diverse range previously reported for mammalian SC using a variety of in-vivo and ex-vivo techniques .…”
Section: 7mentioning
confidence: 99%
“…In cylindrical coordinates, we assume solutions for SC deformations of the form, ,vðr; θ; zÞ ¼ v r ðr; zÞê r þ v z ðr; zÞê z . In the radial direction, force balance requires We average the above equation in the thickness coordinate z and assume a stress free top surface (Banerjee and Marchetti, 2011;Edwards and Schwarz, 2011;German et al, 2012;Mertz et al, 2012). We further assume that the SC does not slip relative to the substrate.…”
Section: 7mentioning
confidence: 99%