Nanomechanics: A new approach for studying the mechanical properties of materials

Mitjançant l'espectroscòpia de forces atòmiques s'ha estudiat la resposta nanomecànica a la nanoindentació de la superfície més estable d'un material trencadís FCC, com és ara el MgO (100). L'expulsió del material en forma de capes demostra que la fallida trencadissa implica, de fet, l'inici de la deformació plàstica o estrès crític, i que la deformació plàstica posterior consisteix en una sèrie d'esdeveniments discrets. Es pot determinar amb precisió el mòdul de Young, E, a partir de la regió de deformació elàstica mitjançant una mecànica senzilla, atesa l'absència de dislocacions induïdes per la nanoindentació. Amb aquesta finalitat s'ha desenvolupat un nou model fisicomatemàtic, que té en compte les interaccions laterals. El valor de l'estrès crític de fricció també s'ha calculat i comentat. Com a conseqüència d'aquesta expulsió en capes, també s'ha estudiat la resposta nanomecànica de superfícies de capes primes (gruix & 1 µm) de molècules orgàniques altament orientades, ja que es tracta de materials en capes amb interaccions de tipus Van der Waals. També en aquests materials la superfície es deforma plàsticament i presenta discontinuïtats discretes en les corbes d'indentació, associades ara a les capes moleculars expulsades per l'indentador. En el cas del metall quasiunidimensional tetratiofulvalè tetracianoquinodimetà (TTFTCNQ), el valor del mòdul de Young, E & 20 GPa, coincideix amb l'obtingut per altres mètodes. En el cas de la fase ! del radical p-nitrofenil nitronil nitròxid (p-NPNN) no es disposa d'informació per a monocristalls, i el valor obtingut per a les capes primes és de E & 2 GPa.Atomic force spectroscopy was used to study the nanomechanical response to nanoindentations on the most stable face (100) of FCC brittle materials such as MgO and alkali halides. The layered expulsion of material demonstrates that brittle failure results from the critical stress brought on by plastic deformation and that plastic deformation consists of a series of discrete events. Due to the absence of indentation- induced dislocations, Young?s modulus E can be correctly estimated from the elastic deformation region using simple mechanics. A new model is developed taking into account lateral interactions. Critical shear stress is also evaluated and discussed. As a result of the layered expulsion we also studied the nanomechanical response of surfaces of highly-oriented molecular organic thin films (ca. 1 µm thickness) because these are Van der Waals layered materials. The surfaces were again found to deform plastically and there were discrete discontinuities in the indentation curves, representing the molecular layers being expelled by the penetrating tip. Here, the Hertz model is quite good at revealing the role of lateral interactions in the indentation process. For the quasi-one-dimensional metal tetrathiafulvalene tetracyanoquinodimethane (TTF-TCNQ) the value of Young?s modulus, E & 20 GPa, coincides with that obtained by other bulk methods. For the !-phase of the p-nitrophenyl nitronyl nitroxide (p-NPNN) radical, no information is available for single crystals and the estimated value obtained for the film is E & 2 GPa

Force-clamp analysis techniques reveal stretched exponential unfolding kinetics in ubiquitin

Force-clamp spectroscopy reveals the unfolding and disulfide bond rupture times of single protein molecules as a function of the stretching force, point mutations and solvent conditions. The statistics of these times reveal whether the protein domains are independent of one another, the mechanical hierarchy in the polyprotein chain, and the functional form of the probability distribution from which they originate. It is therefore important to use robust statistical tests to decipher the correct theoretical model underlying the process. Here we develop multiple techniques to compare the well-established experimental data set on ubiquitin with existing theoretical models as a case study. We show that robustness against filtering, agreement with a maximum likelihood function that takes into account experimental artifacts, the Kuiper statistic test and alignment with synthetic data all identify the Weibull or stretched exponential distribution as the best fitting model. Our results are inconsistent with recently proposed models of Gaussian disorder in the energy landscape or noise in the applied force as explanations for the observed non-exponential kinetics. Since the physical model in the fit affects the characteristic unfolding time, these results have important implications on our understanding of the biological function of proteins

Controlling anomalous diffusion in lipid membranes

This is the author accepted manuscript. The final version is available from the publisher via the DOI in this recordDiffusion in cell membranes is not just simple two-dimensional Brownian motion but typically depends on the timescale of the observation. The physical origins of this anomalous sub-diffusion are unresolved, and model systems capable of quantitative and reproducible control of membrane diffusion have been recognized as a key experimental bottleneck. Here we control anomalous diffusion using supported lipids bilayers containing lipids derivatized with polyethylene glycol (PEG) headgroups. Bilayers with specific excluded area fractions are formed by control of PEG-lipid mole fraction. These bilayers exhibit a switch in diffusive behavior, becoming anomalous as bilayer continuity is disrupted. Using a combination of single-molecule fluorescence and interferometric imaging, we measure the anomalous behavior in this model over four orders of magnitude in time. Diffusion in these bilayers is well-described by a power-law dependence of the mean square displacement with observation time. Anomaleity in this system can be tailored by simply controlling the mole fraction of PEG-lipid, producing bilayers with diffusion parameters similar to those observed for anomalous diffusion in biological membranes.European Research Council (ERC

Domain-domain interactions in Filamin A (16-23) impose a hierarchy of unfolding forces

The quaternary structure of Filamin A (FLNa) 16-23 was recently shown to exhibit multiple domain-domain interactions that lead to a propeller-like construction. Here we present single molecule force spectroscopy experiments to show a wide variety of mechanical responses of this molecule and compare it with its linear counterpart FLNa 1-8. The compact structure of FLNa 16-23 leads to a broad distribution of rupture forces and end-to-end lengths in the force-extension mode and multiple unraveling timescales in the force-clamp mode. Moreover, a subset of force-extension trajectories reveals a mechanical hierarchy in which the rupture of domain-domain interactions at high forces (200 pN) liberates the unfolding of individual domains at low forces (100 pN). This mechanism may also explain the order of magnitude difference in the rates of the biexponential fits to the distribution of unfolding dwell times under force-clamp. Overall, FLNa 16-23 under a force of 100 pN is more compliant than the linear FLNa 1-8. Since a physiological role of FLNa is to crosslink actin filaments, this range of responses allows it to accommodate a broad spectrum of forces exerted by the cell and its environment

Proteoglycan mechanics studied by single-molecule force spectroscopy of allotypic cell adhesion glycans

Author Posting. © American Society for Biochemistry and Molecular Biology, 2006. This article is posted here by permission of American Society for Biochemistry and Molecular Biology for personal use, not for redistribution. The definitive version was published in Journal of Biological Chemistry 281 (2006): 5992-5999, doi:10.1074/jbc.M507878200.Early Metazoans had to evolve the first cell adhesion system addressed to maintaining stable interactions between cells constituting different individuals. As the oldest extant multicellular animals, sponges are good candidates to have remnants of the molecules responsible for that crucial innovation. Sponge cells associate in a species-specific process through multivalent calcium-dependent interactions of carbohydrate structures on an extracellular membrane-bound proteoglycan termed aggregation factor. Single-molecule force spectroscopy studies of the mechanics of aggregation factor self-binding indicate the existence of intermolecular carbohydrate adhesion domains. A 200-kDa aggregation factor glycan (g200) involved in cell adhesion exhibits interindividual differences in size and epitope content which suggest the existence of allelic variants. We have purified two of these g200 distinct forms from two individuals of the same sponge species. Comparison of allotypic versus isotypic g200 binding forces reveals significant differences. Surface plasmon resonance measurements show that g200 self-adhesion is much stronger than its binding to other unrelated glycans such as chondroitin sulfate. This adhesive specificity through multiple carbohydrate binding domains is a type of cooperative interaction that can contribute to explain some functions of modular proteoglycans in general. From our results it can be deduced that the binding strength/surface area between two aggregation factor molecules is comparable with that of focal contacts in vertebrate cells, indicating that strong carbohydrate-based cell adhesions evolved at the very start of Metazoan history.This work was supported in part by Grants BIO2002-00128 and BIO2005-01591 (both to X. F.-B.) from the Ministerio de Educacio´n y Ciencia, Spain, which included Fondo Europeo de Desarrollo Regional funds

Changes in single K+ channel behavior through the lipid phase transition

We show that the activity of an ion channel is strictly related to the phase state of the lipid bilayer hosting the channel. By measuring unitary conductance, dwell times, and open probability of the K+ channel KcsA as a function of temperature in lipid bilayers composed of POPE and POPG in different relative proportions, we obtain that all those properties show a trend inversion when the bilayer is in the transition region between the liquid disordered and the solid ordered phase. These data suggest that the physical properties of the lipid bilayer influence ion channel activity likely via a fine tuning of its conformations. In a more general interpretative framework, we suggest that other parameters such as pH, ionic strength, and the action of amphiphilic drugs can affect the physical behavior of the lipid bilayer in a fashion similar to temperature changes resulting in functional changes of transmembrane proteins

Ions modulate stress-induced nano-texture in supported fluid lipid bilayers.

Most plasma membranes comprise a large number of different molecules including lipids and proteins. In the standard fluid mosaic model, the membrane function is effected by proteins whereas lipids are largely passive and serve solely in the membrane cohesion. Here we show, using supported 1,2-dioleoyl-sn-glycero-3-phosphocholine lipid bilayers in different saline solutions, that ions can locally induce ordering of the lipid molecules within the otherwise fluid bilayer when the latter is supported. This nanoordering exhibits a characteristic length scale of ∼20 nm, and manifests itself clearly when mechanical stress is applied to the membrane. Atomic force microscopy (AFM) measurements in aqueous solutions containing NaCl, KCl, CaCl2, and Tris buffer show that the magnitude of the effect is strongly ion-specific, with Ca2+ and Tris, respectively, promoting and reducing stress-induced nanotexturing of the membrane. The AFM results are complemented by fluorescence recovery after photobleaching experiments, which reveal an inverse correlation between the tendency for molecular nanoordering and the diffusion coefficient within the bilayer. Control AFM experiments on other lipids and at different temperatures support the hypothesis that the nanotexturing is induced by reversible, localized gel-like solidification of the membrane. These results suggest that supported fluid phospholipid bilayers are not homogenous at the nanoscale, but specific ions are able to locally alter molecular organization and mobility, and spatially modulate the membrane’s properties on a length scale of ∼20 nm. To illustrate this point, AFM was used to follow the adsorption of the membrane-penetrating antimicrobial peptide Temporin L in different solutions. The results confirm that the peptides do not absorb randomly, but follow the ion-induced spatial modulation of the membrane. Our results suggest that ionic effects have a significant impact for passively modulating the local properties of biological membranes, when in contact with a support such as the cytoskeleton

Low-force transitions in single titin molecules reflect a memory of contractile history

Titin is a giant elastomeric muscle protein that has been suggested to function as a sensor of sarcomeric stress and strain, but the mechanisms by which it does so are unresolved. To gain insight into its mechanosensory function we manipulated single titin molecules with high-resolution optical tweezers. Discrete, step-wise transitions, with rates faster than canonical Ig domain unfolding occurred during stretch at forces as low as 5 pN. Multiple mechanisms and molecular regions (PEVK, proximal tandem-Ig, N2A) are likely to be involved. The pattern of transitions is sensitive to the history of contractile events. Monte-Carlo simulations of our experimental results predicted that structural transitions begin before the complete extension of the PEVK domain. High-resolution atomic force microscopy (AFM) supported this prediction. Addition of glutamate-rich PEVK domain fragments competitively inhibited the viscoelastic response in both single titin molecules and muscle fibers, indicating that PEVK domain interactions contribute significantly to sarcomere mechanics. Thus, under non-equilibrium conditions across the physiological force range, titin extends by a complex pattern of history-dependent discrete conformational transitions, which, by dynamically exposing ligand-binding sites, could set the stage for the biochemical sensing of the mechanical status of the sarcomere