The role of binder mobility in spontaneous adhesive contact and implications for cell adhesion

Freund, L. B.; Lin, Yuan

doi:10.1016/j.jmps.2004.05.004

Cited by 120 publications

(185 citation statements)

References 25 publications

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“…Additionally, the kinetics of bond formation and rupture has been the subject of a number of studies (Bell, 1978;Evans, 1985;Dembo et al, 1988;Dong and Lei, 2000;Freund and Lin, 2004). As the focus of the present case study is on the mixedmode behaviour of path-independent potential-based models, the cell-substrate interface is treated as a passive entity, with debonding and readhesion being governed exclusively by an interface potential.…”

Section: Case Study I: Resultsmentioning

confidence: 99%

Potential-based and non-potential-based cohesive zone formulations under mixed-mode separation and over-closure. Part I: Theoretical analysis

McGarry

Máirtín

Parry

et al. 2014

Journal of the Mechanics and Physics of Solids

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a b s t r a c tThis paper, the second of two parts, presents three novel finite element case studies to demonstrate the importance of normal-tangential coupling in cohesive zone models (CZMs) for the prediction of mixed-mode interface debonding. Specifically, four new CZMs proposed in Part I of this study are implemented, namely the potential-based MP model and the non-potential-based NP1, NP2 and SMC models. For comparison, simulations are also performed for the well established potential-based Xu-Needleman (XN) model and the non-potential-based model of van den Bosch, Schreurs and Geers (BSG model). Case study 1: Debonding and rebonding of a biological cell from a cyclically deforming silicone substrate is simulated when the mode II work of separation is higher than the mode I work of separation at the cell-substrate interface. An active formulation for the contractility and remodelling of the cell cytoskeleton is implemented. It is demonstrated that when the XN potential function is used at the cell-substrate interface repulsive normal tractions are computed, preventing rebonding of significant regions of the cell to the substrate. In contrast, the proposed MP potential function at the cell-substrate interface results in negligible repulsive normal tractions, allowing for the prediction of experimentally observed patterns of cell cytoskeletal remodelling. Case study 2: Buckling of a coating from the compressive surface of a stent is simulated. It is demonstrated that during expansion of the stent the coating is initially compressed into the stent surface, while simultaneously undergoing tangential (shear) tractions at the coating-stent interface. It is demonstrated that when either the proposed NP1 or NP2 model is implemented at the stent-coating interface mixed-mode over-closure is correctly penalised. Further expansion of the stent results in the prediction of significant buckling of the coating from the stent surface, as observed experimentally. In contrast, the BSG model does not correctly penalise mixed-mode over-closure at the stent-coating interface, significantly altering the stress state in the coating and preventing the prediction of buckling. Case study 3: Application of a displacement to the base of a bi-layered composite arch results in a symmetric sinusoidal distribution of normal and tangential traction at the arch interface. The traction defined mode mixity at the interface ranges from pure mode II at the base of the arch to pure mode I at the top of the arch. It is demonstrated that predicted debonding patterns are highly sensitive to normal-tangential coupling terms in a CZM. The NP2, XN, and BSG models exhibit a strong bias towards mode I separation at the top of the arch, while the NP1 model exhibits a bias towards mode II debonding at the base of the arch. Only the SMC model provides mode-independent behaviour in the early stages of debonding. This case study provides a practical example of the importance of the behaviour of CZMs under conditions of traction controlled mode mixity, foll...

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Section: Case Study I: Resultsmentioning

confidence: 99%

Potential-based and non-potential-based cohesive zone formulations under mixed-mode separation and over-closure. Part I: Theoretical analysis

McGarry

Máirtín

Parry

et al. 2014

Journal of the Mechanics and Physics of Solids

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“…Only two-dimensional analysis has been performed in the present paper, and the extension to three-dimensional cases should be more significant. The influences of some other factors (e.g., elastic deformation of the substrate [12], thermal fluctuation, and force-induced tether formation [27,[35][36][37][38][39]) should also be included in further analysis of the problem.…”

Section: Discussionmentioning

confidence: 99%

“…Cell membranes are self-assembled fluid bilayers within which the lipid molecules are able to diffuse freely [8]. Due to this intra-membrane fluidity which cannot sustain shearing, the elastic deformation of cell membranes is mainly governed by out-of-plane bending [10,11] with bending stiffness typically several orders of magnitude lower than those of common engineering materials [12]. Numerous theoretical models have been developed for both specific adhesion and nonspecific adhesion of vesicles and cells [12][13][14][15][16][17][18][19][20][21][22].…”

mentioning

confidence: 99%

“…Due to this intra-membrane fluidity which cannot sustain shearing, the elastic deformation of cell membranes is mainly governed by out-of-plane bending [10,11] with bending stiffness typically several orders of magnitude lower than those of common engineering materials [12]. Numerous theoretical models have been developed for both specific adhesion and nonspecific adhesion of vesicles and cells [12][13][14][15][16][17][18][19][20][21][22]. There have also been theoretical [23][24][25][26][27] and experimental studies [25,28] on pulling a vesicle initially adhered to a flat surface.…”

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confidence: 99%

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Two-dimensional model of vesicle adhesion on curved substrates

2006

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We develop a two dimensional model of a vesicle adhered on a curved substrate via long-range molecular interactions while subjected to a detachment force. The relationship between the force and displacement of the vesicle is investigated as a function of the substrate shape. It is shown that both the forcedisplacement relationship and the maximum force at pull-off are significantly dependent on the substrate shape. The results suggest that probes with different tip shapes may be designed for cell manipulation. For example, we demonstrate that a vesicle can be pulled off a flat surface using a probe with a curved tip.

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“…A square-root spreading rate has also been reported in the case of blood platelets on protein-coated glass plates (10). Although theoretical models (11,19,20), based on the growth of onedimensional adhesion fronts, have obtained a ͌ t growth law in the binder-diffusion limited kinetic regime, the stability of the advancing front has not been studied. Also, these models do not discuss the range of ligand and receptor concentrations where the square-root law remains valid.…”

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confidence: 99%

Growth and shape stability of a biological membrane adhesion complex in the diffusion-mediated regime

Shenoy

Freund

2005

Proc. Natl. Acad. Sci. U.S.A.

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We examine the process of expansion of a focal adhesion complex by which a biological membrane containing mobile binders adheres to a substrate with complementary binders. Attention is focused on the situation, common among living cells, in which the mean mobile binder density is insufficient to overcome generic resistance to close approach of the membrane to its substrate. For the membrane to adhere, binders must be recruited from adjacent regions to join an adhesion patch of density adequate for adhesion, thereby expanding the size of the patch. The specific configuration examined is the expansion of a circular adhesion zone for which diffusive binder transport driven by a chemical potential gradient is the mechanism of binder recruitment. An aspect of the process of particular interest is the stability of the circular shape of the expanding front. It is found that the adhesion front radius increases as ͌ t, where t is the time elapsed since nucleation, and that the circular shape becomes unstable under sinusoidal perturbations for radii large compared with the nucleation size, as observed in recent experiments.adhesion receptors ͉ biomembrane ͉ cell adhesion A dhesion of cells with other cells and surfaces plays an important role in processes such as cell migration, spreading, differentiation, and growth. The interactions that are responsible for cell adhesion include nonspecific electrostatic and repulsive steric forces as well as specific binding between receptors and ligands. In a series of early and important papers, Bell and coworkers (1-3) have developed quantitative models for cell adhesion based on equilibrium thermodynamics; their work shows that adhesion of cells involves a competition between the nonspecific repulsive forces due to the presence of glycocalyx and the specific bonding interactions between ligand-receptor pairs. The changes in shapes of adhered cells due to the deformation of the cell membrane and the role of ligand-receptor bond kinetics on attachment and separation of cells has been considered by Evans (4, 5) and Dembo and coworkers (6). Advances in experimental techniques based on atomic force microscopes, optical tweezers, and flexible transducers has led to considerable improvement in the understanding of ligand-receptor interactions that are responsible for cell adhesion (7-9).Recent experiments have shown that cell adhesion to surfaces which carry a large concentration of receptors that are complementary to the binders in the cell membrane results in the formation of localized regions of tight adhesion (sometimes referred to as focal adhesion complexes). Examples include spreading of blood platelets (10), vesicles (11,12), and different types of cells including fibroblasts, melanocytes, osteoblasts, lymphoblasts, and red blood cells (13-16) on substrates functionalized with receptors. On the basis of experiments on adhesion of a variety of cultured cells on arrays of patterned gold nanodots with a single bound integrin per dot, Arnold and coworkers (16) have proposed that the c...

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The role of binder mobility in spontaneous adhesive contact and implications for cell adhesion

Cited by 120 publications

References 25 publications

Potential-based and non-potential-based cohesive zone formulations under mixed-mode separation and over-closure. Part I: Theoretical analysis

Potential-based and non-potential-based cohesive zone formulations under mixed-mode separation and over-closure. Part I: Theoretical analysis

Two-dimensional model of vesicle adhesion on curved substrates

Growth and shape stability of a biological membrane adhesion complex in the diffusion-mediated regime

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