Short-term binding of fibroblasts to fibronectin: optical tweezers experiments and probabilistic analysis.

The biophysical properties of the interaction between fibronectin and its membrane receptor were inferred from adhesion tests on living cells. Individual fibroblasts were maintained on fibronectin-coated glass for short time periods (1-16 s) using optical tweezers. After contact, the trap was removed quickly, leading to either adhesion or detachment of the fibroblast. Through a stochastic analysis of bond kinetics, we derived equations of adhesion probability versus time, which fit the experimental data well and were used to compute association and dissociation rates (k+ = 0.3-1.4 s(-1) and koff = 0.05-0.25 s(-1), respectively). The bond distribution is binomial, with an average bond number < or = 10 at these time scales. Increasing the fibronectin density (100-3000 molecules/microm2) raised k+ in a diffusion-dependent manner, leaving koff relatively unchanged. Increasing the temperature (23-37 degrees C) raised both k+ and koff, allowing calculation of the activation energy of the chemical reaction (around 20 kBT). Increasing the compressive force on the cell during contact (up to 60 pN) raised k+ in a logarithmic manner, probably through an increase in the contact area, whereas koff was unaffected. Finally, by varying the pulling force to detach the cell, we could distinguish between two adhesive regimes, one corresponding to one bond, the other to at least two bonds. This transition occurred at a force around 20 pN, interpreted as the strength of a single bond.

Dynamics of adhesive rupture between fibroblasts and fibronectin: microplate manipulations and deterministic model.

To characterize the dynamics of cell-substrate adhesive rupture, we used a novel micromanipulation technique, in which individual fibroblasts seized on a rigid microplate were placed into contact with a fibronectin-coated flexible microplate, then pulled away. The fibronectin density (0-3000 molecules/microm2) and the pulling rate (1-10 microm/s) were controlled. The extent of the contact zone decreased to zero at a time threshold corresponding to adhesive rupture. The uniaxial force at the interface, computed from the deflection of the microplate, increased linearly with time and reached a maximum before dropping to zero. A deterministic model, focusing on the mean number of bonds between fibronectin and its membrane receptor on the cell surface, shows rapid rupture when the force reaches a critical value, in agreement with experimental observations. Increasing the ligand density and the rate of load raises the maximal force (30 200 nN), in reasonably good agreement with the model predictions. Minimization of error between experimental and simulated forces allowed identification of two physicochemical properties of the bond, i.e. its association rate constant (k(2D)on = 3 x 10(-4) microm2/s) and structural length (d = 3 nm). These results may help understand better fibroblast locomotion and interaction with the extracellular matrix.

A probabilistic model for ligand-cytoskeleton transmembrane adhesion: predicting the behavior of microspheres on the surface of migrating cells.

A theoretical model describing the attachment and cytoskeletal coupling of microspheres to the dorsal surface of motile cells was developed. Integral membrane receptors beneath a ligand-coated microsphere are allowed to be either free, attached to the microsphere, bound to the rearward moving actin network, or linked to both the bead and the cytoskeleton, and to switch between these four states. The binding transitions being modeled as chemical reactions governed by rate constants taken from literature, the chance for a receptor to be in each binding state over time is obtained by solving mass-balance equations for the probability functions. The population of n such receptors beneath the microsphere is accounted for by a binomial distribution for each state. Adhesion and transmembrane coupling (resulting in microsphere transport) being defined by a minimal number of ligand-receptor and receptor-cytoskeleton bonds, respectively, the probabilities of attachment and transport of the microsphere over time are expressed in terms of state probability distributions. It is found that increasing the ligand density raises the attachment and transport probabilities, in good quantitative agreement with recent experiments using optical tweezers and accurate position tracking. Increasing the bead size does not affect attachment, but raises the transport probability with a marked transition for bead diameter around 100 nm, as for experimental data. Increasing the restraining force decreases the transport probability, probably by inducing a rupture of receptor-cytoskeleton bonds. This study thus provides a framework that helps understand the process of cortical flow associated with cell locomotion.

Microplates: a new tool for manipulation and mechanical perturbation of individual cells.

We present a new type of microinstrument allowing manipulation and mechanical perturbation of individual cells under an optical microscope. These instruments, which we call microplates, are pulled from rectangular glass bars. They have flat tips, typically 2 microm thick x 20 microm wide, whose specific shape and stiffness can be adjusted through the pulling protocol. After appropriate chemical treatment, microplates can support cell adhesion and/or spreading. Rigid microplates are used to hold cells, whereas more flexible ones serve as stress sensors, i.e. their deflexion is used to probe forces in the range of 1-1000 nN. The main advantages of microplates are their simple geometry and surface properties, and their ability to provide mechanical measurements. In this methodological paper, we give details about microplate preparation and adhesiveness, manipulation set-up, force calibration, and image analysis. Several manipulations have already been carried out on fibroblasts, including uniaxial deformation, micropipet aspiration of adherent cells, and cell-substrate separation. Our results to date provide new insights into the morphology, mechanical properties, and adhesive resistance of cells. Many future applications can be envisaged.

Changes in the mechanical properties of fibroblasts during spreading: a micromanipulation study.

Cell morphology is controlled in part by physical forces. If the main mechanical properties of cells have been identified and quantitated, the question remains of how the cell structure specifically contributes to these properties. In this context, we addressed the issue of whether cell rheology was altered during cell spreading, taken as a fundamental morphological change. On the experimental side, we used a novel dual micromanipulation system. Individual chick fibroblasts were allowed to spread for varying amounts of time on glass microplates, then their free extremity was aspirated into a micropipet at given pressure levels. Control experiments were also done on suspended cells. On the theoretical side, the cell was modeled as a fluid drop of viscosity mu, bounded by a contractile cortex whose tension above a resting value was taken to be linearly dependent on surface area expansion. The pipet negative pressure was first adjusted to an equilibrium value, corresponding to formation of a static hemispherical cap into the pipet. This allowed computation, through Laplace's law, of the resting tension (tau 0), on the order of 3 x 10(-4) N/m. No difference in tau 0 was found between the different groups of cells studied (suspended, adherent for 5 min, spread for 0.5 h, and spread for 3 h). However, tau 0 was significantly decreased upon treatment of fibroblasts with inhibitors of actin polymerization or myosin function. Then, the pressure was set at 30 mmH2O above the equilibrium pressure. All cells showed a biphasic behavior: (1) a rapid initial entrance corresponding to an increase in surface area, which was used to extract an area expansion elastic modulus (K), in the range of 10(-2) N/m; this coefficient was found to increase up to 40% with cell spreading; (2) a more progressive penetration into the pipet, linear with time; this phase, attributed to viscous behavior of the cytoplasm, was used to compute the apparent viscosity (mu, in the range of 2-5 x 10(4) Pa s) which was found to increase by as much as twofold with cell spreading. In some experiments the basal force at the cell-microplate interface was quantitated with flexible microplates and found to be around 1 nN, in agreement with values calculated from the model. Taken together, our results indicate a stiffening of fibroblasts upon spreading, possibly correlated with structural organization of the cytoskeleton during this process. This study may help understand better the morphology of fibroblasts and their mechanical role in connective tissue integrity.

Time scale dependent viscoelastic and contractile regimes in fibroblasts probed by microplate manipulation.

Many essential phenomena in biology involve changes in cell shape. Cell deformation occurs in response to physical forces either coming from the external environment or intracellularly generated. In most tests of cell rheology, an external constraint is usually superimposed on an already mechanically active cell, thus the measurements may reflect both active motion and passive viscoelastic deformation. To show that active and passive processes could be distinguished on a time scale basis, we designed a novel piezo-controlled micromanipulation system to impose dynamic mechanical deformations on individual cells. Chick fibroblasts were seized between two glass microplates; one of the plates, more flexible, served as a sensor of the applied force. Controlled amounts of unidirectional compression and traction in the range of 10(-8)-10(-7) N were applied, using either step functions or sinusoidal signals at chosen frequencies. These tests allowed identification of three time scale dependent regimes. (1) A dominant elastic response, characterized by a linear stress-strain relationship, was especially apparent at short times (seconds); (2) A viscous behavior, characterized by force relaxation and irreversible cell deformation, was noticeable at intermediate times (minutes). Data from traction and oscillatory excitation tests were well fitted by a three-element Kelvin viscoelastic model, allowing the calculation of two elastic moduli in the range of 600-1,000 N/m2 and an apparent viscosity of about 10(4) Pa.s. (3) A contractile regime, in which actin-dependent traction forces were developed in response to uniaxial load was apparent at longer times (several tens of minutes). These forces were in the order of 4 x 10(-8) N above viscous relaxation. Thus we could distinguish, on a time scale basis, the specific contributions of passive viscoelasticity and active traction, and evaluate their mechanical characteristics within one experiment on a single cell.

Comparison of the mechanical properties of normal and transformed fibroblasts.

In order to achieve coordinated migration through extracellular matrix and endothelial barriers during metastasis, cancer cells must be endowed with specific structural and adhesive properties. In this context, comparison of the mechanical properties of transformed versus normal cells, on which little quantitative information is available, was the focus of this study. Normal human dermal fibroblasts and their SV40-transformed counterparts were analyzed using various manipulations. First, micropipet aspiration of suspended cells allowed calculation of a cortical tension (similar for normal and transformed cells), and an apparent viscosity (30% lower for transformed than for normal fibroblasts); in addition, transformed fibroblasts exhibited a more fragile surface than their normal counterparts. Second, tangential ultracentrifugation of adherent cells demonstrated cellular elongation in the direction of the centrifugal field and the existence of critical forces for cell detachment, around 10(-7) N: these were 1.6-fold greater for normal than for transformed cells. Finally, examination of the wrinkle patterns formed by cells plated on a deformable polydimethylsiloxane substrate, plus analysis of cell retraction caused by ATP treatment following detergent permeabilization showed that normal fibroblasts exhibited much more contractility than their transformed counterparts, which we characterized by a cell contraction rate. Such quantitative parameters which reveal differences in the mechanical behavior of normal and transformed cells may be used in the future as new markers of oncogenic transformation.

Critical centrifugal forces induce adhesion rupture or structural reorganization in cultured cells.

Cultured epithelial cells were exposed to accelerations ranging from 9,000 to 70,000g for time periods of 5, 15, or 60 min, by centrifugation in a direction tangential to their plastic substrate. Three regimes describe the cellular response: (1) Cell morphology and density remain unaltered at forces below a threshold of about 10(-7) N; (2) Between this critical force and a second threshold of about 1.5 10(-7)N, the number of adherent cells decreases exponentially with time and acceleration, with no alteration of cell morphology. This behavior can be modeled by a constant probability of detaching and by an exponential distribution of cell-to-substrate adhesive forces; (3) Past the second threshold, cells that are still adherent exhibit elongated morphologies, the degree of elongation increasing linearly with the force. The fact that cells lose their vinculin-rich focal contacts past the first threshold and that cells cultured on gelatin-coated plastic show an increased resistance to detachment suggests a rupture of cell-to-substrate adhesions upon centrifugation. Immunofluorescent labeling of cells for actin and tubulin shows a reorganization of the cytoskeleton upon centrifugation, and treatment of cells with the drugs cytochalasin D and nocodazole demonstrates that cytoskeletal elements are actively involved in the structural deformation of cells past the second acceleration threshold, microtubules and microfilaments paying antagonistic roles.

Influence of adhesion and cytoskeletal integrity on fibroblast traction.

Cellular contractility plays an important role in cell morphogenesis and tissue pattern formation. In this context, we examined how the expression of cell traction depends on cell-to-substrate contacts and cytoskeletal organization. Qualitative observation of chick fibroblasts cultured on an elastic film of polydimethylsiloxane indicated a strong spatial relationship between wrinkle pattern and distribution of actin stress fibers and focal contacts. In order to further characterize cell contractility, the projected area of Triton-permeabilized fibroblasts upon ATP-induced retraction was measured in various conditions of substrate adhesivity, cytoskeletal perturbation, and temperature. In all conditions, the relationship between degree of cell retraction and ATP concentration was well described by the laws of enzyme kinetics. Culturing cells on a gelatin-coated substrate, decreasing the temperature, using phosphate ribonucleotides other than ATP, and treating cells with cytochalasin D all diminished the rate of cell retraction, indicating that fibroblast traction is generated by a temperature- and ATP-dependent actin/myosin stress fiber sliding mechanism, transmitted to the substrate through focal adhesions. Treatment of cells with either nocodazole or taxol did not affect retraction of permeabilized fibroblasts upon stimulation with ATP, suggesting that microtubules do not directly resist cell traction. Treatment of cells with vanadate increased cell retraction, suggesting that intermediate filaments help transmit tension.

Changes in organization and composition of the extracellular matrix underlying cultured endothelial cells exposed to laminar steady shear stress.

BACKGROUND: In blood vessels, the extracellular matrix (ECM) underlying the endothelium supports endothelial cell (EC) attachment, spreading, migration, and proliferation. The structure and composition of the ECM may be modulated by hemodynamic shear stress, which may play a role in the pathogenesis of vascular diseases such as atherosclerosis. EXPERIMENTAL DESIGN: In this study, in vitro effects of fluid shear stress on the ECM of EC were investigated. Cultured bovine aortic EC (BAEC) were exposed to a steady laminar shear stress of 30 dyn/cm2 from 3 to 48 hours, using a parallel-plate flow chamber. Parallel control cultures were maintained under static conditions. The organization of fibronectin (Fn), laminin (Ln), collagen type IV (Col IV), and vitronectin (Vn) was analyzed by immunofluorescence microscopy. Changes in the profile of proteins present in the deoxycholate-insoluble ECM fraction of EC were determined using two-dimensional gel electrophoresis, and the levels of Fn, Ln, and Vn were determined by Western blotting. RESULTS: Fn, Ln, and Col IV exhibited both a granular pattern in cell perinuclear areas and a fibrillar pattern localized underneath EC. On exposure of bovine aortic EC to shear stress, Fn fibrils grouped into thicker tracts of fibrils, and there was a tendency for some of these tracks of fibrils to align with the direction of flow. Ln and Col IV also grouped into thicker fibers, which, in contrast to Fn, were randomly oriented. Vn exhibited a diffuse granular pattern, which did not change in response to shear stress. Consistent increases in the levels of four unidentified acidic proteins (mol wt/pI = 52/4.9, 70/4.7, 70/5.5, and 110/4.4) were observed after 3 to 6 hours of exposure to flow. The level of Fn present in the ECM was decreased twofold 12 hours after exposure of the cell monolayer to flow, and then increased after 24 and 48 hours. The level of Ln showed a twofold increase after 24 and 48 hours of flow, whereas the level of Vn was not altered by shear stress. CONCLUSIONS: These changes in organization and composition observed in the ECM of cultured EC may play a significant role in shear stress-induced morphologic alterations in EC and may represent relevant events in the initiation of atherosclerotic lesions by influencing both EC and smooth muscle cell function.

Elongation of confluent endothelial cells in culture: the importance of fields of force in the associated alterations of their cytoskeletal structure.

Studies using either animal models or in vitro flow systems have shown that the shape of large-vessel endothelial cells (ECs) was sensitive to the amplitude of the flow imposed on them. In order to better understand the morphological changes experienced by ECs when exposed to physical forces such as shear stress, the mechanical integrity of confluent bovine aortic ECs (BAECs) was anisotropically perturbed using the five following types of experiments: (i) slicing and partial scraping of BAEC monolayers; (ii) culture of BAECs on narrow strips of adhesive plastic; (iii) incubation of confluent BAECs with media containing low Ca2+ concentrations; (iv) culture of ECs on top of rectangular collagen gels; and (v) exposure of BAECs to laminar steady shear stress. In all five experimental systems, BAECs exhibited an elongated morphology and aligned their major axes in specific directions. In addition, a preferential alignment of actin microfilaments, vimentin intermediate filaments, and streaks of vinculin with the major axes of the cells often occurred concomitantly with BAEC elongation. In all five systems, the elongation of ECs was analyzed in terms of a mechanical deformation borne by the cytoskeleton, and possibly caused by anisotropic distribution of the forces experienced by the cell structure. In addition, the strain-stress and stiffness-stress relationships characterizing the elongation of BAECs exposed to steady flow were qualitatively similar to those computed for the uniaxial deformation of a spherical geodesic. Our findings suggest that the cytoskeleton of ECs plays an important role in the transduction of those forces which cause an elongation of ECs.

Oscillatory shear stress and hydrostatic pressure modulate cell-matrix attachment proteins in cultured endothelial cells.

Endothelial cells (ECs) may behave as hemodynamic sensors, translating mechanical information from the blood flow into biochemical signals, which may then be transmitted to underlying smooth muscle cells. The extracellular matrix (ECM), which provides adherence and integrity for the endothelium, may serve an important signaling function in vascular diseases such as atherogenesis, which has been shown to be promoted by low and oscillating shear stresses. In this study, confluent bovine aortic ECs (BAECs), were exposed to an oscillatory shear stress or to a hydrostatic pressure of 40 mmHg for time periods of 12 to 48 h. Parallel control cultures were maintained in static condition. Although ECs exposed to hydrostatic pressure or to oscillatory flow had a polygonal morphology similar to that of control cultures, these cells possessed more numerous central stress fibers and exhibited a partial loss of peripheral bands of actin, in comparison to static cells. In EC cultures exposed to oscillatory flow or hydrostatic pressure, extracellular fibronectin (Fn) fibrils were more numerous than in static cultures. Concomitantly, a dramatic clustering of alpha 5 beta 1 Fn receptors and of the focal contact-associated proteins vinculin and talin occurred. Laminin (Ln) and collagen type IV formed a network of thin fibrils in static cultures, which condensed into thicker fibers when BAECs were exposed to oscillatory shear stress or hydrostatic pressure. The ECM-associated levels of Fn and Ln were found to be from 1.5- to 5-fold greater in cultures exposed to oscillatory shear stress or pressure for 12 and 48 h, than in static cultures. The changes in the organization and composition of ECM and focal contacts reported here suggest that ECs exposed to oscillatory shear stress or hydrostatic pressure may have different functional characteristics from cells in static culture, even though ECs in either environment exhibit a similar morphology.