Dynamic Single-molecule Force Spectroscopy Research Articles

Study of the Dynamic Viscoelasticity of Single Poly(N-isopropylacrylamide) Chains Using Atomic Force Microscopy

Thermoresponsive poly(N-isopropylacrylamide) (PNIPAM) is of great interest in the fields of medicine and pharmacology because its lower critical solubility temperature (LCST) is close to the physiological temperature. The understanding of the phase transfer mechanism of PNIPAM near the LCST is of great significance for the design, development, and application of its derivatives. In this study, a dynamic single-molecule force spectroscopy (SMFS) approach was used to quantitatively assess the dynamic viscoelasticity of single PNIPAM chains at different temperatures. We found that the relationship between the viscoelasticity coefficient of a single polymer chain in the low elongation region and the number of chain segments below the LCST was in accordance with the prediction of the Kirkwood model. Above the LCST, the PNIPAM chains exhibited different viscoelastic behaviors that were determined by their conformations. Importantly, the characterization of dynamic viscoelasticity allowed us to observe the phase transition behavior of single polymer chains in the low elongation region where they are similar to random coils, which helped us to understand the microscopic mechanism of their temperature response. In particular, above the LCST, the PNIPAM chains no longer underwent purely entropic elastic behavior but instead displayed enthalpic viscoelastic behavior dominated by intramolecular hydrogen bonds.

Monitoring the antibiotic darobactin modulating the β-barrel assembly factor BamA

The β-barrel assembly machinery (BAM) complex is an essential component of Escherichia coli that inserts and folds outer membrane proteins (OMPs). The natural antibiotic compound darobactin inhibits BamA, the central unit of BAM. Here, we employ dynamic single-molecule force spectroscopy (SMFS) to better understand the structure-function relationship of BamA and its inhibition by darobactin. The five N-terminal polypeptide transport (POTRA) domains show low mechanical, kinetic, and energetic stabilities. In contrast, the structural region linking the POTRA domains to the transmembrane β-barrel exposes the highest mechanical stiffness and lowest kinetic stability within BamA, thus indicating a mechano-functional role. Within the β-barrel, the four N-terminal β-hairpins H1-H4 expose the highest mechanical stabilities and stiffnesses, while the four C-terminal β-hairpins H5-H6 show lower stabilities and higher flexibilities. This asymmetry within the β-barrel suggests that substrates funneling into the lateral gate formed by β-hairpins H1 and H8 can force the flexible C-terminal β-hairpins to change conformations.

Distinct Binding Interactions of α5β1-Integrin and Proteoglycans with Fibronectin

Dynamic single-molecule force spectroscopy was performed to monitor the unbinding of fibronectin with the proteoglycans syndecan-4 (SDC4) and decorin and to compare this with the unbinding characteristics of α5β1-integrin. A single energy barrier was sufficient to describe the unbinding of both SDC4 and decorin from fibronectin, whereas two barriers were observed for the dissociation of α5β1-integrin from fibronectin. The outer (high-affinity) barriers in the interactions of fibronectin with α5β1-integrin and SDC4 are characterized by larger barrier heights and widths and slower dissociation rates than those of the inner (low-affinity) barriers in the interactions of fibronectin with α5β1-integrin and decorin. These results indicate that SDC4 and (ultimately) α5β1-integrin have the ability to withstand deformation in their interactions with fibronectin, whereas the decorin-fibronectin interaction is considerably more brittle.

Force Spectroscopy Shows Dynamic Binding of Influenza Hemagglutinin and Neuraminidase to Sialic Acid

The influenza A virus infects target cells through multivalent interactions of its major spike proteins, hemagglutinin (HA) and neuraminidase (NA), with the cellular receptor sialic acid (SA). HA is known to mediate the attachment of the virion to the cell, whereas NA enables the release of newly formed virions by cleaving SA from the cell. Because both proteins target the same receptor but have antagonistic functions, virus infection depends on a properly tuned balance of the kinetics of HA and NA activities for viral entry to and release from the host cell. Here, dynamic single-molecule force spectroscopy, based on scanning force microscopy, was employed to determine these bond-specific kinetics, characterized by the off rate koff, rupture length xβ and on rate kon, as well as the related free-energy barrier ΔG and the dissociation constant KD. Measurements were conducted using surface-immobilized HA and NA of the influenza A virus strain A/California/04/2009 and a novel, to our knowledge, synthetic SA-displaying receptor for functionalization of the force probe. Single-molecule force spectroscopy at force loading rates between 100 and 50,000 pN/s revealed most probable rupture forces of the protein-SA bond in the range of 10–100 pN. Using an extension of the widely applied Bell-Evans formalism by Friddle, De Yoreo, and co-workers, it is shown that HA features a smaller xβ, a larger koff and a smaller ΔG than NA. Measurements of the binding probability at increasing contact time between the scanning force microscopy force probe and the surface allow an estimation of KD, which is found to be three times as large for HA than for NA. This suggests a stronger interaction for NA-SA than for HA-SA. The biological implications in regard to virus binding to the host cell and the release of new virions from the host cell are discussed.

Hooking on Viral Glycoproteins with Single Molecule Force Spectroscopy to Study Single and Multiple Bond Formations

The influenza A virus (IAV) interacts with sialic acid (SA) receptors on host cell membranes upon multivalent interactions of its major spike glycoproteins hemagglutinin (HA) and neuraminidase (NA). HA mediates the viral attachment to cells, while NA enables the release of newly formed virus particles by destroying SA receptors. Since both proteins target the same receptor, but have antagonistic functions, virus infection depends on a properly tuned balance of the kinetics of HA and NA activities for viral spread. Here dynamic single molecule force spectroscopy (SMFS) was employed to determine bond specific kinetics, characterized by the off-rate and on-rate of virus binding, the rupture length as well as the related free energy barrier ΔG. Measurements were conducted on two relevant virus systems, differing in the HA/NA type, and by using a synthetic SA-displaying receptor attached to the SFM cantilever. The bond strength was tested to immobilized HA and NA of the IAV strains California/H1N1, and Aichi/H3N2 as well as intact virus particles of the latter. SMSF at variable force loading rates revealed most probable rupture forces of the protein-SA bond being in the range of 10-100 pN. Measurements of the binding probability at increasing contact time between the SFM force probe, and the surface allowed an estimation of KD, which suggests a stronger interaction for NA-SA than for HA-SA. A systematic study of multiple bonds connected in parallel demonstrated a rapid formation of multivalent interactions of both proteins increasing strongly the bond life-time (msec-sec). In conclusion, we obtained new insights for the orchestrated role of HA and NA in the viral binding and release process. In particular, our results provide strong evidence for involvement of NA into viral attachment to the host cell.

Goodness of fit testing in dynamic single-molecule force spectroscopy.

Dynamic single-molecule force spectroscopy (SMFS) is a powerful method to characterize the mechanical stability of biomolecules. We address the problem that the standard manner of reporting the extracted energy landscape parameters does not reveal the intrinsic statistical errors associated with them. This problem becomes particularly relevant when SMFS is used to compare two or more different molecular systems. Here, we propose two methods that allow for a straightforward test of statistical significance. We illustrate the power of the methods by applying them to the experimental results obtained for three dimeric coiled coils of different lengths. Both methods are general and may be applied to any problem involving the fit of models with two correlated parameters.

Structural Properties of the Human Protease-Activated Receptor 1 Changing by a Strong Antagonist

The protease-activated receptor 1 (PAR1), a G protein-coupled receptor (GPCR) involved in hemostasis, thrombosis, and inflammation, is activated by thrombin or other coagulation proteases. This activation is inhibited by the irreversible antagonist vorapaxar used for anti-platelet therapy. Despite detailed structural and functional information, how vorapaxar binding alters the structural properties of PAR1 to prevent activation is hardly known. Here we apply dynamic single-molecule force spectroscopy to characterize how vorapaxar binding changes the mechanical, kinetic, and energetic properties of human PAR1 under physiologically relevant conditions. We detect structural segments stabilizing PAR1 andquantify their properties in the unliganded andthe vorapaxar-bound state. In the presence ofvorapaxar, most structural segments increase conformational variability, lifetime, and free energy, and reduce mechanical rigidity. These changes highlight a general trend in how GPCRs are affected by strong antagonists.

Dynamic force spectroscopy of synthetic oligorotaxane foldamers.

Wholly synthetic molecules involving both mechanical bonds and a folded secondary structure are one of the most promising architectures for the design of functional molecular machines with unprecedented properties. Here, we report dynamic single-molecule force spectroscopy experiments that explore the energetic details of donor-acceptor oligorotaxane foldamers, a class of molecular switches. The mechanical breaking of the donor-acceptor interactions responsible for the folded structure shows a high constant rupture force over a broad range of loading rates, covering three orders of magnitude. In comparison with dynamic force spectroscopy performed during the past 20 y on various (bio)molecules, the near-equilibrium regime of oligorotaxanes persists at much higher loading rates, at which biomolecules have reached their kinetic regime, illustrating the very fast dynamics and remarkable rebinding capabilities of the intramolecular donor-acceptor interactions. We focused on one single interaction at a time and probed the stochastic rupture and rebinding paths. Using the Crooks fluctuation theorem, we measured the mechanical work produced during the breaking and rebinding to determine a free-energy difference, ΔG, of 6 kcal·mol-1 between the two local conformations around a single bond.

Unraveling Hydrophobic Interactions at the Molecular Scale Using Force Spectroscopy and Molecular Dynamics Simulations.

Interactions between hydrophobic moieties steer ubiquitous processes in aqueous media, including the self-organization of biologic matter. Recent decades have seen tremendous progress in understanding these for macroscopic hydrophobic interfaces. Yet, it is still a challenge to experimentally measure hydrophobic interactions (HIs) at the single-molecule scale and thus to compare with theory. Here, we present a combined experimental-simulation approach to directly measure and quantify the sequence dependence and additivity of HIs in peptide systems at the single-molecule scale. We combine dynamic single-molecule force spectroscopy on model peptides with fully atomistic, both equilibrium and nonequilibrium, molecular dynamics (MD) simulations of the same systems. Specifically, we mutate a flexible (GS)5 peptide scaffold with increasing numbers of hydrophobic leucine monomers and measure the peptides' desorption from hydrophobic self-assembled monolayer surfaces. Based on the analysis of nonequilibrium work-trajectories, we measure an interaction free energy that scales linearly with 3.0-3.4 kBT per leucine. In good agreement, simulations indicate a similar trend with 2.1 kBT per leucine, while also providing a detailed molecular view into HIs. This approach potentially provides a roadmap for directly extracting qualitative and quantitative single-molecule interactions at solid/liquid interfaces in a wide range of fields, including interactions at biointerfaces and adhesive interactions in industrial applications.

Sliding Contact Dynamic Force Spectroscopy Method for Interrogating Slowly Forming Polymer Cross-Links.

Dynamic single-molecule force spectroscopy (SMFS), conducted most commonly using AFM, has become a widespread and valuable tool for understanding the kinetics and thermodynamics of fundamental molecular processes such as ligand-receptor interactions and protein unfolding. Where slowly forming bonds are responsible for the primary characteristics of a material, as is the case in cross-links in some polymer gels, care must be taken to ensure that a fully equilibrated bond has first formed before its rupture can be interpreted. Here we introduce a method, sliding contact force spectroscopy (SCFS), that effectively eliminates the kinetics of bond formation from the measurement of bond rupture. In addition, it permits bond rupture measurements in systems where one of the binding partners may be introduced into solution prior to binding without tethering to a surface. Taking as an example of a slowly forming bond, the "eggbox" junction cross-links between oligoguluronic acid chains (oligoGs) in the commercially important polysaccharide alginate, we show that SCFS accurately measures the equilibrated bond strength of the cross-link when one chain is introduced into the sample solution without tethering to a surface. The results validate the SCFS technique for performing single-molecule force spectroscopy experiments and show that it has advantages in cases where the bond to be studied forms slowly and where tethering of one of the binding partners is impractical.

Bayesian Uncertainty Quantification for Bond Energies and Mobilities Using Path Integral Analysis

Dynamic single-molecule force spectroscopy is often used to distort bonds. The resulting responses, in the form of rupture forces, work applied, and trajectories of displacements, are used to reconstruct bond potentials. Such approaches often rely on simple parameterizations of one-dimensional bond potentials, assumptions on equilibrium starting states, and/or large amounts of trajectory data. Parametric approaches typically fail at inferring complicated bond potentials with multiple minima, while piecewise estimation may not guarantee smooth results with the appropriate behavior at large distances. Existing techniques, particularly those based on work theorems, also do not address spatial variations in the diffusivity that may arise from spatially inhomogeneous coupling to other degrees of freedom in the macromolecule. To address these challenges, we develop a comprehensive empirical Bayesian approach that incorporates data and regularization terms directly into a path integral. All experimental and statistical parameters in our method are estimated directly from the data. Upon testing our method on simulated data, our regularized approach requires less data and allows simultaneous inference of both complex bond potentials and diffusivity profiles. Crucially, we show that the accuracy of the reconstructed bond potential is sensitive to the spatially varying diffusivity and accurate reconstruction can be expected only when both are simultaneously inferred. Moreover, after providing a means for self-consistently choosing regularization parameters from data, we derive posterior probability distributions, allowing for uncertainty quantification.

Scaling from single molecule to macroscopic adhesion at polymer/metal interfaces.

Understanding the evolution of macroscopic adhesion based on fundamental molecular interactions is crucial to designing strong and smart polymer/metal interfaces that play an important role in many industrial and biomedical applications. Here we show how macroscopic adhesion can be predicted on the basis of single molecular interactions. In particular, we carry out dynamic single molecule-force spectroscopy (SM-AFM) in the framework of Bell-Evans' theory to gain information about the energy barrier between the bound and unbound states of an amine/gold junction. Furthermore, we use Jarzynski's equality to obtain the equilibrium ground-state energy difference of the amine/gold bond from these nonequilibrium force measurements. In addition, we perform surface forces apparatus (SFA) experiments to measure macroscopic adhesion forces at contacts where approximately 10(7) amine/gold bonds are formed simultaneously. The SFA approach provides an amine/gold interaction energy (normalized by the number of interacting molecules) of (36 ± 1)k(B)T, which is in excellent agreement with the interaction free energy of (35 ± 3)k(B)T calculated using Jarzynski's equality and single-molecule AFM experiments. Our results validate Jarzynski's equality for the field of polymer/metal interactions by measuring both sides of the equation. Furthermore, the comparison of SFA and AFM shows how macroscopic interaction energies can be predicted on the basis of single molecular interactions, providing a new strategy to potentially predict adhesive properties of novel glues or coatings as well as bio- and wet adhesion.

Dynamic single-molecule force spectroscopy of rhodopsin in native membranes.

Membrane proteins are an important class of proteins in biology and therapeutics. Understanding the dynamic nature of the molecular interactions that stabilize membrane protein structure is critical to dissect the mechanism of action and dysfunction of these proteins. Single-molecule force spectroscopy (SMFS) and dynamic SMFS (DFS) are emerging nanotechniques that allow the study of membrane proteins under the physiologically relevant conditions of a lipid bilayer and buffer conditions. These techniques directly probe the molecular interactions underlying protein structure and reveal unique insights about their properties. Outlined in this report will be procedures on how to conduct SMFS and DFS on rhodopsin in native retinal membranes. Rhodopsin is a membrane protein belonging to the G protein-coupled receptor family of proteins, one of the largest families of proteins in nature.

Substrate-induced changes in the structural properties of LacY

The lactose permease (LacY) of Escherichia coli, a paradigm for the major facilitator superfamily, catalyzes the coupled stoichiometric translocation of a galactopyranoside and an H(+) across the cytoplasmic membrane. To catalyze transport, LacY undergoes large conformational changes that allow alternating access of sugar- and H(+)-binding sites to either side of the membrane. Despite strong evidence for an alternating access mechanism, it remains unclear how H(+)- and sugar-binding trigger the cascade of interactions leading to alternating conformational states. Here we used dynamic single-molecule force spectroscopy to investigate how substrate binding induces this phenomenon. Galactoside binding strongly modifies kinetic, energetic, and mechanical properties of the N-terminal 6-helix bundle of LacY, whereas the C-terminal 6-helix bundle remains largely unaffected. Within the N-terminal 6-helix bundle, the properties of helix V, which contains residues critical for sugar binding, change most radically. Particularly, secondary structures forming the N-terminal domain exhibit mechanically brittle properties in the unbound state, but highly flexible conformations in the substrate-bound state with significantly increased lifetimes and energetic stability. Thus, sugar binding tunes the properties of the N-terminal domain to initiate galactoside/H(+) symport. In contrast to wild-type LacY, the properties of the conformationally restricted mutant Cys154→Gly do not change upon sugar binding. It is also observed that the single mutation of Cys154→Gly alters intramolecular interactions so that individual transmembrane helices manifest different properties. The results support a working model of LacY in which substrate binding induces alternating conformational states and provides insight into their specific kinetic, energetic, and mechanical properties.

Mechanically induced silyl ester cleavage under acidic conditions investigated by AFM-based single-molecule force spectroscopy in the force-ramp mode

AFM-based dynamic single-molecule force spectroscopy was used to stretch carboxymethylated amylose (CMA) polymers, which have been covalently tethered between a silanized glass substrate and a silanized AFM tip via acid-catalyzed ester condensation at pH 2.0. Rupture forces were measured as a function of temperature and force loading rate in the force-ramp mode. The data exhibit significant statistical scattering, which is fitted with a maximum likelihood estimation (MLE) algorithm. Bond rupture is described with a Morse potential based Arrhenius kinetics model. The fit yields a bond dissociation energy De = 35 kJ mol(-1) and an Arrhenius pre-factor A = 6.6 × 10(4) s(-1). The bond dissociation energy is consistent with previous experiments under identical conditions, where the force-clamp mode was employed. However, the bi-exponential decay kinetics, which the force-clamp results unambiguously revealed, are not evident in the force-ramp data. While it is possible to fit the force-ramp data with a bi-exponential model, the fit parameters differ from the force-clamp experiments. Overall, single-molecule force spectroscopy in the force-ramp mode yields data whose information content is more limited than force-clamp data. It may, however, still be necessary and advantageous to perform force-ramp experiments. The number of successful events is often higher in the force-ramp mode, and competing reaction pathways may make force-clamp experiments impossible.

Kinetic, Energetic, and Mechanical Differences between Dark-State Rhodopsin and Opsin

Rhodopsin, the photoreceptor pigment of the retina, initiates vision upon photon capture by its covalently linked chromophore 11-cis-retinal. In the absence of light, the chromophore serves as an inverse agonist locking the receptor in the inactive dark state. In the absence of chromophore, the apoprotein opsin shows low-level constitutive activity. Toward revealing insight into receptor properties controlled by the chromophore, we applied dynamic single-molecule force spectroscopy to quantify the kinetic, energetic, and mechanical differences between dark-state rhodopsin and opsin in native membranes from the retina of mice. Both rhodopsin and opsin are stabilized by ten structural segments. Compared to dark-state rhodopsin, the structural segments stabilizing opsin showed higher interaction strengths and mechanical rigidities and lower conformational variabilities, lifetimes, and free energies. These changes outline a common mechanism toward activating G-protein-coupled receptors. Additionally, we detected that opsin was more pliable and frequently stabilized alternate structural intermediates.

Single-molecule force spectroscopy of G-protein-coupled receptors

The applicability of single-molecule force spectroscopy (SMFS) to characterize membrane proteins in vitro is developing rapidly and opening a wide range of fascinating possibilities to study how intra- and intermolecular interactions determine their structural stability and functional state. In particular, understanding how molecular interactions contribute to the functional state of G-protein-coupled receptors (GPCRs) is of importance because they mediate most of our physiological responses and act as therapeutic targets for a broad spectrum of diseases. In our review we focus on SMFS to characterize GPCRs embedded in their physiologically relevant membranes and exposed to physiologically relevant conditions. SMFS uses a molecularly sharp stylus to grasp the terminal end of a GPCR and to quickly unfold the receptor while recording interaction forces. The positional accuracy of SMFS localizes these interactions to structural segments of the GPCR whereas the sensitivity of SMFS enables their stabilizing interaction forces to be quantified. To further investigate the kinetic, energetic and mechanical properties of the structural segments, dynamic SMFS (DFS) probes their stability over a wide range of loading rates. These parameters provide insight into the energy landscape that provides information on the structural and functional properties of the GPCRs. Selected highlights exemplify the application of SMFS to characterize inter- and intramolecular interactions, which change the properties of GPCRs in relation to their functional state (e.g., ligand binding), diseased state (e.g., mutation), or lipid environment such as cholesterol.

Cholesterol increases kinetic, energetic, and mechanical stability of the human β2-adrenergic receptor

The steroid cholesterol is an essential component of eukaryotic membranes, and it functionally modulates membrane proteins, including G protein-coupled receptors. To reveal insight into how cholesterol modulates G protein-coupled receptors, we have used dynamic single-molecule force spectroscopy to quantify the mechanical strength and flexibility, conformational variability, and kinetic and energetic stability of structural segments stabilizing the human β(2)-adrenergic receptor (β(2)AR) in the absence and presence of the cholesterol analog cholesteryl hemisuccinate (CHS). CHS considerably increased the kinetic, energetic, and mechanical stability of almost every structural segment at sufficient magnitude to alter the structure and functional relationship of β(2)AR. One exception was the structural core segment of β(2)AR, which establishes multiple ligand binding sites, and its properties were not significantly influenced by CHS.

Ligands Stabilize Specific GPCR Conformations: But How?

Small molecules modulate the activity of G protein-coupled receptors in a number of different ways leading to distinct signaling outcomes, but the mechanisms behind this modulation remain unclear. In this issue of Structure , Zocher et al. have used dynamic single-molecule force spectroscopy to study this question by examining global thermodynamic properties of β 2 AR in the presence of different ligands.

Ligand-Specific Interactions Modulate Kinetic, Energetic, and Mechanical Properties of the Human β2 Adrenergic Receptor

G protein-coupled receptors (GPCRs) are a class of versatile proteins that transduce signals across membranes. Extracellular stimuli induce inter- and intramolecular interactions that change the functional state of GPCRs and activate intracellular messenger molecules. How these interactions are established and how they modulate the functional state of GPCRs remain to be understood. We used dynamic single-molecule force spectroscopy to investigate how ligand binding modulates the energy landscape of the human β2 adrenergic receptor (β2 AR). Five different ligands representing either agonists, inverse agonists or neutral antagonists established a complex network of interactions that tuned the kinetic, energetic, and mechanical properties of functionally important structural regions of β2 AR. These interactions were specific to the efficacy profile of the ligands investigated and suggest that the functional modulation of GPCRs follows structurally well-defined interaction patterns.