Effects of contact surface shape on lifetime of cellular focal adhesion

Rizza, Gregory; Qian, Jin; Gao, Huajian

doi:10.2140/jomms.2011.6.495

Cited by 8 publications

(4 citation statements)

References 27 publications

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“…In particular, it was found that adhesion of live cells to external surfaces plays an important role in many cellular processes [3,4]. Recently, the effect of contact surface shape as a factor to control focal adhesion lifetime was studied [5], while modeling the cell and substrate as a semi-infinite elastic media.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic modelling of the JKR adhesion contact for a thin elastic layer

Argatov

Mishuris

Popov

2016

Q J Mechanics Appl Math

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The Johnson-Kendall-Roberts model of frictionless adhesive contact is extended to the case of a thin transversely isotropic elastic layer bonded to a rigid base. The leading-order asymptotic models are obtained for both compressible and incompressible elastic layers. The boundary conditions for the contact pressure approximation on the contour of the contact area have been derived from the boundary-layer solutions, which satisfy the condition that the stress intensity factor of the contact pressure density should have the same value all round the contact area boundary. In the incompressible case, a perturbation solution is obtained for a slightly perturbed circular contact area.

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Section: Introductionmentioning

confidence: 99%

Asymptotic modelling of the JKR adhesion contact for a thin elastic layer

Argatov

Mishuris

Popov

2016

Q J Mechanics Appl Math

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“…Recently, Ju et al [40] investigated the two-dimensional receptor-ligand association kinetics, which was found to be transport regulated. By recognizing that the mechanical properties of the substrate are crucial in the formation and growth of FAs, Gao and his co-workers successfully developed a coupled stochastic-elastic model [41][42][43][44] to present insights into the biophysical behaviour in cell adhesion, such as stiffness and orientation-dependent lifetime of cluster bonds [42,[45][46][47][48][49], stable size of the molecular bond cluster for cell adhesion [41,45,50], shape-dependent strength of cell adhesion [51][52][53], enhancement of cell adhesion via pre-tension in the cytoskeleton [54,55] and cell adhesion under cyclic tension [56].…”

Section: Introductionmentioning

confidence: 99%

A viscoelastic–stochastic model of the effects of cytoskeleton remodelling on cell adhesion

Li¹,

Zhang²,

Wang³

2016

R. Soc. open sci.

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Cells can adapt their mechanical properties through cytoskeleton remodelling in response to external stimuli when the cells adhere to the extracellular matrix (ECM). Many studies have investigated the effects of cell and ECM elasticity on cell adhesion. However, experiments determined that cells are viscoelastic and exhibiting stress relaxation, and the mechanism behind the effect of cellular viscoelasticity on the cell adhesion behaviour remains unclear. Therefore, we propose a theoretical model of a cluster of ligand–receptor bonds between two dissimilar viscoelastic media subjected to an applied tensile load. In this model, the distribution of interfacial traction is assumed to follow classical continuum viscoelastic equations, whereas the rupture and rebinding of individual molecular bonds are governed by stochastic equations. On the basis of this model, we determined that viscosity can significantly increase the lifetime, stability and dynamic strength of the adhesion cluster of molecular bonds, because deformation relaxation attributed to the viscoelastic property can increase the rebinding probability of each open bond and reduce the stress concentration in the adhesion area.

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“…Qian et al 17,18 performed Monte-Carlo simulations to investigate the adhesion lifetime and strength of a single or periodic arrays of bond clusters between two elastic media. Wang and Gao 19 and Rizza et al 20 investigated the size-and shape-dependent pull-off force and adhesion lifetime of a bond cluster, and showed that strong and stable adhesion can be achieved by selecting an optimal surface shape, somewhat analogous to an earlier study of Gao and Yao 21 for non-specific van der Waals interaction between elastic solids.…”

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confidence: 86%

Specific adhesion of a soft elastic body on a wavy surface

Wang

Yao

Gao

2012

Theoretical and Applied Mechanics Letters

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This paper aims at developing a stochastic-elastic model of a soft elastic body adhering on a wavy surface via a patch of molecular bonds. The elastic deformation of the system is modeled by using continuum contact mechanics, while the stochastic behavior of adhesive bonds is modeled by using Bell's type of exponential bond association/dissociation rates. It is found that for sufficiently small adhesion patch size or stress concentration index, the adhesion strength is insensitive to the wavelength but decreases with the amplitude of surface undulation, and that for large adhesion patch size or stress concentration index, there exist optimal values of the surface wavelength and amplitude for maximum adhesion strength.Most biological cells must adhere to an extracellular matrix (ECM) or other cells in order to perform normal physiological functions such as migration, spreading, differentiation, growth, and healing. 1 Cell adhesion involves coordinated actions of many biological molecules such as ECM proteins, cytoskeletal proteins and membrane receptors, and can be strongly influenced by the topographical structures of ECM and the basement membranes of many biological tissues. 2,3 Bozec and Horton 4 proposed that the topographic features of type I collagen monomers may enhance attachment and adhesion of mammalian cells. Bettinger et al. 5 found that nanogratings appear to enhance while nanoposts and nanopits tend to reduce cell adhesion strength. Sykaras et al. 6 showed that surface roughness can strongly affect the osseointegration of implants. Eisenbarth et al. 7 studied the adhesion of fibroblasts on Ti, Ti-6Al-4V, and Ti30Ta substrates, and found that cell alignment becomes more distinct as the surface roughness increases. These experimental findings suggest that surface topography may play important roles in cell adhesion.Cells usually adhere to a material surface through focal adhesions consisting of multiple transmembrane receptor-ligand bonds. 8-10 The random, discrete association/dissociation behaviors of these molecular bonds are an essential characteristic feature of cell adhesion. From a statistical point of view, a single molecular bond has only a finite lifetime, 11-14 but a cluster of bonds can survive for much longer time due to collective effects in a stochastical ensemble. Erdmann and Schwarz 15 showed that the lifetime of a cluster of bonds increases with the increase of cluster size. Wang and Gao 16 considered two elastic half-spaces joined together by diffusive molecular bonds and showed that a uniform bond disa) Corresponding author. tribution along the interface is intrinsically unstable. Qian et al. 17,18 performed Monte-Carlo simulations to investigate the adhesion lifetime and strength of a single or periodic arrays of bond clusters between two elastic media. Wang and Gao 19 and Rizza et al. 20 investigated the size-and shape-dependent pull-off force and adhesion lifetime of a bond cluster, and showed that strong and stable adhesion can be achieved by selecting an optimal surface shape, ...

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Effects of contact surface shape on lifetime of cellular focal adhesion

Cited by 8 publications

References 27 publications

Asymptotic modelling of the JKR adhesion contact for a thin elastic layer

Asymptotic modelling of the JKR adhesion contact for a thin elastic layer

A viscoelastic–stochastic model of the effects of cytoskeleton remodelling on cell adhesion

Specific adhesion of a soft elastic body on a wavy surface

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