Nucleic acid hairpins provide a powerful model system for probing the formation of secondary structure. We report a systematic study of the kinetics and thermodynamics of the folding transition for individual DNA hairpins of varying stem length, loop length, and stem GC content. Folding was induced mechanically in a highresolution optical trap using a unique force clamp arrangement with fast response times. We measured 20 different hairpin sequences with quasi-random stem sequences that were 6 -30 bp long, polythymidine loops that were 3-30 nt long, and stem GC content that ranged from 0% to 100%. For all hairpins studied, folding and unfolding were characterized by a single transition. From the force dependence of these rates, we determined the position and height of the energy barrier, finding that the transition state for duplex formation involves the formation of 1-2 bp next to the loop. By measuring unfolding energies spanning one order of magnitude, transition rates covering six orders of magnitude, and hairpin opening distances with subnanometer precision, our results define the essential features of the energy landscape for folding. We find quantitative agreement over the entire range of measurements with a hybrid landscape model that combines thermodynamic nearest-neighbor free energies and nanomechanical DNA stretching energies.DNA hairpin ͉ energy landscape ͉ force clamp ͉ optical tweezers ͉ single molecule H airpins formed from self-complementary sequences supply a model system for studying folding and duplex formation, the most fundamental processes for generating structure in nucleic acids. Using hairpins, repeated measurements can be made on the same molecule, facilitating single-molecule studies. Furthermore, by simply altering the nucleotide sequence, physical properties such as folding energies, kinetic rates, and distances to transition states all can be changed systematically. Hairpins also play essential roles in vivo. DNA hairpins bind proteins to regulate transcription (1), and hairpin intermediates are involved in both replication and recombination (2, 3). RNA hairpins form tertiary contacts (4), bind to proteins (2), regulate transcription (5), and mediate RNA interference (6). Understanding the factors that influence hairpin folding should therefore not only elucidate principles of structure formation in nucleic acids but may also shed light on the biological roles played by these structures.Extensive calorimetric and melting studies have been carried out to generate predictive rules for the thermodynamic stability of arbitrary nucleic acid duplexes (7). The kinetic properties of duplex formation, however, remain less well understood, particularly those related to the nature of the transition state. Temperature-jump studies of annealing in short duplexes have been interpreted in terms of the nucleation of a transition state consisting of Ϸ1-3 bp, followed by zippering of the remaining stem (8). This interpretation, however, rests on the assumption that the enthalpy of activation arises ...

Nucleic acid hairpins provide a powerful model system for understanding macromolecular folding, with free-energy landscapes that can be readily manipulated by changing the hairpin sequence. The full shapes of energy landscapes for the reversible folding of DNA hairpins under controlled loads exerted by an optical force clamp were obtained by deconvolution from high-resolution, single-molecule trajectories. The locations and heights of the energy barriers for hairpin folding could be tuned by adjusting the number and location of G:C base pairs, and the presence and position of folding intermediates were controlled by introducing single-nucleotide mismatches.

Riboswitches regulate genes through structural changes in ligand-binding RNA aptamers. With the use of an optical-trapping assay based on in situ transcription by a molecule of RNA polymerase, single nascent RNAs containing pbuE adenine riboswitch aptamers were unfolded and refolded. Multiple folding states were characterized by means of both force-extension curves and folding trajectories under constant force by measuring the molecular contour length, kinetics, and energetics with and without adenine. Distinct folding steps correlated with the formation of key secondary or tertiary structures and with ligand binding. Adenine-induced stabilization of the weakest helix in the aptamer, the mechanical switch underlying regulatory action, was observed directly. These results provide an integrated view of hierarchical folding in an aptamer, demonstrating how complex folding can be resolved into constituent parts, and supply further insights into tertiary structure formation.

Many biologically important macromolecules undergo motions that are essential to their function. Biophysical techniques can now resolve the motions of single molecules down to the nanometer scale or even below, providing new insights into the mechanisms that drive molecular movements. This review outlines the principal approaches that have been used for high-resolution measurements of single-molecule motion, including centroid tracking, fluorescence resonance energy transfer, magnetic tweezers, atomic force microscopy, and optical traps. For each technique, the principles of operation are outlined, the capabilities and typical applications are examined, and various practical issues for implementation are considered. Extensions to these methods are also discussed, with an eye toward future application to outstanding biological problems.

About 17 years after the severe acute respiratory syndrome coronavirus (SARS-CoV) epidemic, the world is currently facing the COVID-19 pandemic caused by SARS coronavirus 2 (SARS-CoV-2). According to the most optimistic projections, it will take more than a year to develop a vaccine, so the best short-term strategy may lie in identifying virus-specific targets for small molecule–based interventions. All coronaviruses utilize a molecular mechanism called programmed −1 ribosomal frameshift (−1 PRF) to control the relative expression of their proteins. Previous analyses of SARS-CoV have revealed that it employs a structurally unique three-stemmed mRNA pseudoknot that stimulates high −1 PRF rates and that it also harbors a −1 PRF attenuation element. Altering −1 PRF activity impairs virus replication, suggesting that this activity may be therapeutically targeted. Here, we comparatively analyzed the SARS-CoV and SARS-CoV-2 frameshift signals. Structural and functional analyses revealed that both elements promote similar −1 PRF rates and that silent coding mutations in the slippery sites and in all three stems of the pseudoknot strongly ablate −1 PRF activity. We noted that the upstream attenuator hairpin activity is also functionally retained in both viruses, despite differences in the primary sequence in this region. Small-angle X-ray scattering analyses indicated that the pseudoknots in SARS-CoV and SARS-CoV-2 have the same conformation. Finally, a small molecule previously shown to bind the SARS-CoV pseudoknot and inhibit −1 PRF was similarly effective against −1 PRF in SARS-CoV-2, suggesting that such frameshift inhibitors may be promising lead compounds to combat the current COVID-19 pandemic.

Transition paths, the fleeting trajectories through the transition states that dominate the dynamics of biomolecular folding reactions, encapsulate the critical information about how structure forms. Owing to their brief duration, however, they have not previously been observed directly. We measured transition paths for both nucleic acid and protein folding, using optical tweezers to observe the microscopic diffusive motion of single molecules traversing energy barriers. The average transit times and the shapes of the transit-time distributions agreed well with theoretical expectations for motion over the one-dimensional energy landscapes reconstructed for the same molecules, validating the physical theory of folding reactions. These measurements provide a first look at the critical microscopic events that occur during folding, opening exciting new avenues for investigating folding phenomena.

An atomic force microscope was used to study single-electron motion in nanotube quantum dots. By applying a voltage to the microscope tip, the number of electrons occupying the quantum dot could be changed, causing Coulomb oscillations in the nanotube conductance. Spatial maps of these oscillations were used to locate individual dots and to study the electrostatic coupling between the dot and the tip. The electrostatic forces associated with single electrons hopping on and off the quantum dot were also measured. These forces changed the amplitude, frequency, and quality factor of the cantilever oscillation, demonstrating how single-electron motion can interact with a mechanical oscillator.

Optical traps are useful for studying the effects of forces on single molecules. Feedback-based force clamps are often used to maintain a constant load, but the response time of the feedback limits bandwidth and can introduce instability. We developed a novel force clamp that operates without feedback, taking advantage of the anharmonic region of the trapping potential where the differential stiffness vanishes. We demonstrate the utility of such a force clamp by measuring the unfolding of DNA hairpins and the effect of trap stiffness on opening distance and transition rates.Optical traps (also known as optical tweezers) use light from a tightly focused laser beam to trap small, polarizable objects, such as dielectric beads, in a three-dimensional potential well centered near the focal point [1]. For sufficiently small displacements from equilibrium, the trapping potential is harmonic: The restoring force F varies linearly with the displacement from the trap center x with a constant stiffness k that can be calibrated by several well-established methods. A number of groups have used optical traps in this linear regime to study the properties of important biological systems by attaching single molecules to microscopic beads. Such systems include motor proteins (e.g., kinesin [2], myosin [3], and dynein [4]), processive nucleic acid enzymes (e.g., polymerases [5,6], helicases [7], and exonucleases [8]), and nucleic acid structures [9,10].For biophysical experiments, a force clamp that fixes the load on the bead (a mechanical analog of the voltage clamp widely used in neuroscience) offers several advantages. The maintenance of constant load facilitates measurement of position by eliminating the need for series elastic corrections to displacement signals [11,12]. Furthermore, constant force avoids complications arising from changes to the potential energy landscape that are generated by molecular motions against a changing load. Techniques such as magnetic tweezers [13] and laminar fluid flow [14] can be used to generate constant force but have been limited in practice to no better thañ 10 nm / Hz spatial resolution and have, thus far, been unable to match the resolution attained by optical traps.In optical traps, a force clamp is typically implemented using a feedback system that measures the instantaneous position of the trapped object and then moves the trap to maintain a set displacement between the object and the trap center. Such active force clamps have proven to be powerful tools for biomechanical studies, but they suffer from two inherent limitations.