Stabilizing to disruptive transition of focal adhesion response to mechanical forces

Strong mechanical forces can, obviously, disrupt cell-cell and cell-matrix adhesions, e.g., cyclic uniaxial stretch induces instability of cell adhesion, which then causes the reorientation of cells away from the stretching direction. However, recent experiments also demonstrated the existence of force dependent adhesion growth (rather than dissociation). To provide a quantitative explanation for the two seemingly contradictory phenomena, a microscopic model that includes both integrin-integrin interaction and integrin-ligand interaction is developed at molecular level by treating the focal adhesion as an adhesion cluster. The integrin clustering dynamics and integrin-ligand binding dynamics are then simulated within one unified theoretical frame with Monte Carlo simulation. We find that the focal adhesion will grow when the traction force is higher than a relative small threshold value, and the growth is dominated by the reduction of local chemical potential energy by the traction force. In contrast, the focal adhesion will rupture when the traction force exceeds a second threshold value, and the rupture is dominated by the breaking of integrin-ligand bonds. Consistent with the experiments, these results suggest a force map for various responses of cell adhesion to different scales of mechanical force. PMID: 20542514

Stability Of Adhesion Clusters And Cell Reorientation Under Lateral Cyclic Tension

This work is motivated by experimental observations that cells on stretched substrate exhibit different responses to static and dynamic loads. A model of focal adhesion that can consider the mechanics of stress fiber, adhesion bonds, and substrate was developed at the molecular level by treating the focal adhesion as an adhesion cluster. The stability of the cluster under dynamic load was studied by applying cyclic external strain on the substrate. We show that a threshold value of external strain amplitude exists beyond which the adhesion cluster disrupts quickly. In addition, our results show that the adhesion cluster is prone to losing stability under high-frequency loading, because the receptors and ligands cannot get enough contact time to form bonds due to the high-speed deformation of the substrate. At the same time, the viscoelastic stress fiber becomes rigid at high frequency, which leads to significant deformation of the bonds. Furthermore, we find that the stiffness and relaxation time of stress fibers play important roles in the stability of the adhesion cluster. The essence of this work is to connect the dynamics of the adhesion bonds (molecular level) with the cell's behavior during reorientation (cell level) through the mechanics of stress fiber. The predictions of the cluster model are consistent with experimental observations.

细胞黏附的力学建模及其力敏感性的机理研究

细胞黏附在机体的生理和病理过程中起着重要的作用。作为细胞内、外信息交流和传递的通道，细胞黏附斑具有独特的力敏感性。实验表明，在力的作用下，黏附斑不仅可以生长、成熟和破坏，而且还能感知外部环境的力学性质，如基底硬度、硬度梯度和形貌等等。细胞黏附如何响应不同的力学刺激，物理机理是什么，如何定量描述这些物理机理？这些问题是细胞生物学和细胞力学中的重要问题。本论文通过在分子和亚细胞尺度上的力学建模研究了黏附斑的力敏感性机理，主要包括以下几方面的内容： (1) 发展了一个非线性的撕裂模型，研究了细胞黏附的稳定性和边缘依赖性。通过引入黏附分子键的非线性本构关系，并考虑黏附分子键的多种分布形式，我们发现黏附分子键的非线性效应对维持细胞黏附的稳定性起着至关重要的作用。黏附分子键的非线性力学性质使黏附分子键可以同时承载，降低了细胞对黏附分子键分布的依赖性，大大提高了细胞的黏附强度。本文的预测结果与实验结果一致。 (2) 建立了细胞黏附的细观力学模型，研究了在力作用下黏附斑生长和失稳的分子机理。在细观力学模型中，引入了“整联蛋白的聚集”和“整联蛋白-配体的反应”两个分子作用机理，并用两个化学反应来描述。通过基于Monte Carlo思想的Gillespie算法模拟了细胞黏附在不同载荷下的响应。我们发现黏附斑只能在一定范围的张力下生长，在这个范围内整联蛋白的聚集机制占主导。而当张力大于某个临界值时，黏附斑将失稳并导致破坏，这时整联蛋白-配体分子键的解离机制占主导。因此，黏附斑对作用力的不同响应，是不同分子作用机制在力作用下相互消长的结果。同时我们还建立了一个唯象的热力学模型中，验证了我们的细观力学模型。 (3) 基于细胞黏附的细观力学模型，研究了周期性载荷下细胞的重排和转向机理。在细观力学模型中，通过黏附块(adhesion plaque)，将整联蛋白-配体分子键和细胞骨架联系起来。基于Monte Calro模拟，我们发现存在一个载荷临界值，当外载大于临界值时，细胞将进行重排。细胞重排的原因是在周期性载荷下黏附斑的失稳。通过引入整联蛋白-配体成键的化学反应动力学和应力纤维的粘弹性性质，解释了细胞黏附稳定性的频率依赖性。本文预测的细胞转向临界载荷和重排方向，与实验结果一致。

Nonlinear Mechanical Modeling Of Cell Adhesion

Cell adhesion, which is mediated by the receptor-ligand bonds, plays an essential role in various biological processes. Previous studies often described the force-extension relationship of receptor-ligand bond with linear assumption. However, the force-extension relationship of the bond is intrinsically nonlinear, which should have significant influence on the mechanical behavior of cell adhesion. In this work, a nonlinear mechanical model for cell adhesion is developed, and the adhesive strength was studied at various bond distributions. We find that the nonlinear mechanical behavior of the receptor-ligand bonds is crucial to the adhesive strength and stability. This nonlinear behavior allows more bonds to achieve large bond force simultaneously, and therefore the adhesive strength becomes less sensitive to the change of bond density at the outmost periphery of the adhesive area. In this way, the strength and stability of cell adhesion are soundly enhanced. The nonlinear model describes the cell detachment behavior better than the linear model. (C) 2007 Elsevier Ltd. All rights reserved.

MC3T3-E1 Osteoblasts Adhesion to Micropatterned Surfaces

细胞在材料表面的黏附对细胞的增殖和分化起重要作用。格式化表面提供了对细胞在基底的空间分布和动附进行控制的方法。利用微制作形成的格式模板,分别以微接触转印法和微流道法形成格式化表面,使MC3T3-E1成骨细胞以一定的格式黏附于表面上。在微接触转印法形成的含二氯二甲基硅烷(DMS)的疏水区域和不含DMS的亲水区域相间隔的表面,细胞优先在亲水区域黏附。在微流道法形成的胶原和白蛋白格式化表面,细胞优先黏附于含胶原区域。结果还表明微格式化表面可以用于研究表面的物理化学性质对细胞的黏附等功能的影响。

Mechanics of Adhesion in MEMS-a Review

A review is presented of the mechanics of microscale adhesion in microelectromechanical systems (MEMS). Some governing dimensionless numbers such as Tabor number, adhesion parameter and peel number for microscale elastic adhesion contact are discussed in detail. The peel number is modified for the elastic contact between a rough surface in contact with a smooth plane. Roughness ratio is introduced to characterize the relative importance of surface roughness for microscale adhesion contact, and three kinds of asperity height distributions are discussed: Gaussian, fractal, and exponential distributions. Both Gaussian and exponential distributions are found to be special cases of fractal distribution. Casimir force induced adhesion in MEMS, and adhesion of carbon nanotubes to a substrate are also discussed. Finally, microscale plastic adhesion contact theory is briefly reviewed, and it is found that the dimensionless number, plasticity index of various forms, can be expressed by the roughness ratio.

Adhesion Elastic Contact and Hysteresis Effect

In this paper, we study the relationship between the pull-off force and the transition parameter (or Tabor number) as well as the variation of the pull-off radius with the transition parameter in the adhesion elastic contact. Hysteresis models are presented to describe the contact radius as a function of external loads in loading and unloading processes. Among these models, we verified the hysteresis model from Johnson{Kendall{Roberts theory, based on which the calculated results are in good agreement with experimental ones.

Comparison of Various Adhesion Contact Theories and the Influence of Dimensionless Load Parameter

Three models, JKR (Johnson, Kendall and Roberts), DMT (Derjaguin, Muller, and Toporov) andMD (Maugis-Dugdale),are compared with the Hertz model in dealing with nano-contact problems. It has been shown that both the dimensionless load parameter, P D P=.1/4

Effect of Work of Adhesion on Nanoindentation

Three adhesion contact models, JKR (Johnson-Kendall-Roberts), DMT (Derjaguin-Muller-Toporov) and MD (Maugis-Dugdale) are compared with the Hertz model in dealing with the nano-contact problems. It has been shown that the dimensionless load parameter, $\bar{P}=P/(\pi\Delta\gamma R)$, and the transition parameter, $\Lambda$, have significant influences on the contact stiffness (contact area) at micro/nano-scale and should not be ignored in shallow nanoindentation.

Effect Surface Roughness on the Adhesion of Microstructures

考虑实际微结构表面粗糙度对粘着特性的影响,利用表面力以及表征微尺度粘着弹性接触理论的粘着数对微机械中典型的微悬臂梁结构的剥离数(peel number)进行修正。结果表明,由于表面粗糙度的存在,微结构中的粘着作用削弱,而这种作用可以利用粘着参数(adhesion parameter)定量刻画。

Experimental Investigation of the Velocity Effect on Adhesion Forces with an Atomic Force Microscope Atomic Force Microscope

Capillary forces are significantly dominant in adhesive forces measured with an atomic force microscope (AFM) in ambient air, which are always thought to be dependent on water film thickness, relative humidity, and the free energy of water film. We study the nature of the pull-off force on a variety of surfaces as a function of tip velocity. It is found that the capillary forces are of relatively strong dependence on tip velocity. The present experiment is expected to provide a better understanding of the work mechanism of AFM in ambient air.

Evaluation of the Interfacial Adhesion between Brittle Coating and Ductile Substrate by Cross-Secitional Indention

The cross-sectional indentation method is extended to evaluate the interfacial adhesion between brittle coating and ductile substrate. The experimental results on electroplated chromium coating/steel substrate show that the interfacial separation occurs due to the edge chipping of brittle coating. The corresponding models are established to elucidate interfacial separation processes. This work further highlights the advantages and potential of this novel indentation method.

Molecular Dynamics Simulation Of Adhesion Forces In A Dipalmitoylphosphatidylcholine Membrane

Adhesion forces of Dipalmitoylphosphatidylcholine ( DPPC) membrane in the gel phase are investigated by molecular dynamics ( MD) simulation. In the simulations, individual DPPC molecules are pulled out of DPPC membranes with different rates and we get the maximum adhesion forces of DPPC membrane. We find that the maximum adhesion forces increase with pull rate, from about 400 to 700 pN when pull rates are from 0.001 to 0.03 nm/ps. We analyze the relationship between pull rate and adhesion forces of different origins using Brownian dynamics and notice that viscosity of solvent plays an important role in adhesion forces. Then we simulate the motion of a single DPPC molecule in solvent and it elucidates that the maximum drag force is almost linear with respect to the pull rate. We use Stokes' relation to describe the motion of a single DPPC molecule and deduce the effective length of a DPPC molecule. Conformational analyses indicate that the free energy variation of a DPPC molecule inside and outside of the DPPC membrane is an essential part of adhesion energy.

Tuning The Geometrical Parameters Of Biomimetic Fibrillar Structures To Enhance Adhesion

Fibrillar structures are common features on the feet of many animals, such as geckos, spiders and flies. Theoretical analyses often use periodical array to simulate the assembly, and each fibril is assumed to be of equal load sharing (ELS). On the other hand, studies on a single fibril show that the adhesive interface is flaw insensitive when the size of the fibril is not larger than a critical one. In this paper, the Dugdale Barenblatt model has been used to study the conditions of ELS and how to enhance adhesion by tuning the geometrical parameters in fibrillar structures. Different configurations in an array of fibres are considered, such as line array, square and hexagonal patterns. It is found that in order to satisfy flaw-insensitivity and ELS conditions, the number of fibrils and the pull-off force of the fibrillar interface depend significantly on the fibre separation, the interface interacting energy, the effective range of cohesive interaction and the radius of fibrils. Proper tuning of the geometrical parameters will enhance the pull-off force of the fibrillar structures. This study may suggest possible methods to design strong adhesion devices for engineering applications.