Acknowledgements We thank M. Inouye for the gift of the RU1012 strain, L. Loew for the gift of styryl dyes, S. Conrad and G. Shirman for assistance with mutagenesis and protein chemistry, and M. G. Prisant for construction of the computer cluster. This work was supported by grants from the Office of Naval Research, the Defense Advanced Research Project Agency and the National Institutes of Health.Competing interests statement The authors declare that they have no competing financial interests.Correspondence and requests for material should be addressed to H. Bonds between adhesion molecules are often mechanically stressed. A striking example is the tensile force applied to selectin-ligand bonds, which mediate the tethering and rolling of flowing leukocytes on vascular surfaces 1-3 . It has been suggested that force could either shorten bond lifetimes, because work done by the force could lower the energy barrier between the bound and free states 4 ('slip'), or prolong bond lifetimes by deforming the molecules such that they lock more tightly 5,6 ('catch'). Whereas slip bonds have been widely observed 7-14 , catch bonds have not been demonstrated experimentally. Here, using atomic force microscopy and flow-chamber experiments, we show that increasing force first prolonged and then shortened the lifetimes of P-selectin complexes with P-selectin glycoprotein ligand-1, revealing both catch and slip bond behaviour. Transitions between catch and slip bonds might explain why leukocyte rolling on selectins first increases and then decreases as wall shear stress increases 9,15,16 . This dual response to force provides a mechanism for regulating cell adhesion under conditions of variable mechanical stress.Using atomic force microscopy (AFM) (Fig. 1a), we measured the force dependence of bond lifetimes of P-selectin with two forms of P-selectin glycoprotein ligand-1 (PSGL-1) or with G1, a blocking monoclonal antibody (mAb) against P-selectin 17 (see Methods). P-selectin is an extended C-type lectin expressed on activated endothelial cells and platelets. PSGL-1 is a mucin expressed on leukocytes. Ca 2þ -dependent interactions of P-selectin with PSGL-1 mediate the tethering and rolling of flowing leukocytes on vascular surfaces in response to infection or tissue injury 1-3 .We captured dimeric PSGL-1 purified from human neutrophils 18 or monomeric recombinant soluble PSGL-1 (sPSGL-1) 19 with PL2, a non-blocking anti-PSGL-1 mAb 20 adsorbed on the cantilever tip (Fig. 1b). Cantilever tips bearing (s)PSGL-1 or G1 were repeatedly brought into contact with lipid bilayers reconstituted with P-selectin purified from human platelets 21 to allow bond formation. The cantilever was then retracted a prescribed distance to apply a constant tensile force to the bond or bonds (if any resulted from the contact), and the duration or lifetime of the adhesion at that force was recorded (Fig. 1c). To measure lifetime at forces lower than the level of their fluctuations, many instantaneous forces were averaged (Fig. 1d, e). This enabled the reli...

The T cell receptor (TCR) interacts with peptide-major histocompatibility complexes (pMHC) to discriminate pathogens from self-antigens and trigger adaptive immune responses. Direct physical contact is required between the T cell and the antigen-presenting cell (APC) for cross-junctional binding where the TCR and pMHC are anchored on two-dimensional (2D) membranes of the apposing cells1. Despite their 2D nature, TCR-pMHC binding kinetics have only been analyzed three-dimensionally (3D) with a varying degree of correlation with the T cell responsiveness2-4. Here we use two mechanical assays5,6 to show high 2D affinities between a TCR and its antigenic pMHCs driven by rapid on-rates. Compared to their 3D counterparts, 2D affinities and on-rates of the TCR for a panel of pMHC ligands possess far broader dynamic ranges that match that of their corresponding T cell responses. The best 3D predictor of response is the off-rate, with agonist pMHC dissociating the slowest2-4. In contrast, 2D off-rates are up to 8,300-fold faster, with the agonist pMHC dissociating the fastest. Our 2D data suggest rapid antigen sampling by T cells and serial engagement of a few agonist pMHCs by TCRs in a large self pMHC background. Thus, the cellular environment amplifies the TCR-pMHC binding to generate broad affinities and rapid kinetics that determine T-cell responsiveness.

Summary TCR–pMHC interactions initiate adaptive immune responses, but the mechanism of how such interactions under force induce T-cell signaling is unclear. We show that force prolongs lifetimes of single TCR–pMHC bonds for agonists (catch bonds) but shortens those for antagonists (slip bonds). Both magnitude and duration of force are important as the highest Ca2+ responses were induced by 10 pN via both pMHC catch bonds whose lifetime peaks at this force and anti-TCR slip bonds whose maximum lifetime occurs at 0 pN. High Ca2+ levels require early and rapid accumulation of bond lifetimes whereas short-lived bonds that slow early accumulation of lifetimes correspond to low Ca2+ responses. Our data support a model where force on the TCR induces signaling events depending on its magnitude, duration, frequency, and timing, such that agonists form catch bonds that trigger the T cell digitally, whereas antagonists form slip bonds that fail to activate.

Cell function depends on tissue rigidity, which cells probe by applying and transmitting forces to their extracellular matrix, and then transducing them into biochemical signals. Here we show that in response to matrix rigidity and density, force transmission and transduction are explained by the mechanical properties of the actin-talin-integrin-fibronectin clutch. We demonstrate that force transmission is regulated by a dynamic clutch mechanism, which unveils its fundamental biphasic force/rigidity relationship on talin depletion. Force transduction is triggered by talin unfolding above a stiffness threshold. Below this threshold, integrins unbind and release force before talin can unfold. Above the threshold, talin unfolds and binds to vinculin, leading to adhesion growth and YAP nuclear translocation. Matrix density, myosin contractility, integrin ligation and talin mechanical stability differently and nonlinearly regulate both force transmission and the transduction threshold. In all cases, coupling of talin unfolding dynamics to a theoretical clutch model quantitatively predicts cell response.

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Binding of integrins to ligands provides anchorage and signals for the cell, making them prime candidates for mechanosensing molecules. How force regulates integrin–ligand dissociation is unclear. We used atomic force microscopy to measure the force-dependent lifetimes of single bonds between a fibronectin fragment and an integrin α5β1-Fc fusion protein or membrane α5β1. Force prolonged bond lifetimes in the 10–30-pN range, a counterintuitive behavior called catch bonds. Changing cations from Ca2+/Mg2+ to Mg2+/EGTA and to Mn2+ caused longer lifetime in the same 10–30-pN catch bond region. A truncated α5β1 construct containing the headpiece but not the legs formed longer-lived catch bonds that were not affected by cation changes at forces <30 pN. Binding of monoclonal antibodies that induce the active conformation of the integrin headpiece shifted catch bonds to a lower force range. Thus, catch bond formation appears to involve force-assisted activation of the headpiece but not integrin extension.

We report a novel method for measuring forward and reverse kinetic rate constants, kf0 and kr0, for the binding of individual receptors and ligands anchored to apposing surfaces in cell adhesion. Not only does the method examine adhesion between a single pair of cells; it also probes predominantly a single receptor-ligand bond. The idea is to quantify the dependence of adhesion probability on contact duration and densities of the receptors and ligands. The experiment was an extension of existing micropipette protocols. The analysis was based on analytical solutions to the probabilistic formulation of kinetics for small systems. This method was applied to examine the interaction between Fc gamma receptor IIIA (CD16A) expressed on Chinese hamster ovary cell transfectants and immunoglobulin G (IgG) of either human or rabbit origin coated on human erythrocytes, which were found to follow a monovalent biomolecular binding mechanism. The measured rate constants are Ackf0 = (2.6 +/- 0.32) x 10(-7) micron 4 s-1 and kr0 = (0.37 +/- 0.055) s-1 for the CD16A-hIgG interaction and Ackf0 = (5.7 +/- 0.31) X 10(-7) micron 4 s-1 and kr0 = (0.20 +/- 0.042) s-1 for the CD16A-rIgG interaction, respectively, where Ac is the contact area, estimated to be a few percent of 3 micron 2.

Many biomolecular bonds exhibit a mechanical strength that increases in proportion to the logarithm of the rate of force application. Consistent with exponential decrease in bond lifetime under rising force, this kinetically limited failure reflects dissociation along a single thermodynamic pathway impeded by a sharp free energy barrier. Using a sensitive force probe to test the leukocyte adhesion bond P-selectin glycoprotein ligand 1 (PSGL-1)-P-selectin, we observed a linear increase of bond strength with each 10-fold increase in the rate of force application from 300 to 30,000 pN͞sec, implying a single pathway for failure. However, the strength and lifetime of PSGL-1-P-selectin bonds dropped anomalously when loaded below 300 pN͞sec, demonstrating unexpectedly faster dissociation and a possible second pathway for failure. Remarkably, if first loaded by a ''jump'' in force to 20 -30 pN, the bonds became strong when subjected to a force ramp as slow as 30 pN͞sec and exhibited the same single-pathway kinetics under all force rates. Applied in this way, a new ''jump͞ramp'' mode of force spectroscopy was used to show that the PSGL-1-P-selectin bond behaves as a mechanochemical switch where force history selects between two dissociation pathways with markedly different properties. Furthermore, replacing PSGL-1 by variants of its 19-aa N terminus and by the crucial tetrasaccharide sialyl Lewis X produces dramatic changes in the failure kinetics, suggesting a structural basis for the two pathways. The two-pathway switch seems to provide a mechanism for the ''catch bond'' response observed recently with PSGL-1-P-selectin bonds subjected to smallconstant forces.N oncovalent interactions among large multidomain proteins underlie most adhesive functions in biology. Well known prototypes are the complexes formed between the selectin family of adhesion receptors, e.g., P-selectin expressed on activated endothelial cells or platelets, and their glycosylated ligands, e.g., the leukocyte mucin P-selectin glycoprotein ligand 1 (PSGL-1). Referred to as ''bonds,'' these interactions transiently interrupt rapid transport of leukocytes in blood flow and enable cells to perform a rolling exploration of vessel walls during the inflammatory response (1, 2). Most of our knowledge about how selectin bonds behave under stress has come from observing the decay in a number of receptor-bearing particles (cells or microspheres) tethered to walls by adhesive ligands in flow chambers. Held under nearly constant ''force clamp'' conditions, particles tethered by ligand͞selectin bonds release at progressively faster rates with increasing shear forces in high flow (3-5) but, at the same time, exhibit an unexpected shear threshold in slow flow below which particles also detach very quickly (6, 7). Recently tested by both flow chamber and atomic force microscope (AFM) techniques in a similar force clamp mode, the lifetimes of PSGL-1-P-selectin attachments were found to first increase with initial application of small forces before crossing over to de...