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.

Kinesin-1 is an ATP-driven, processive motor that transports cargo along microtubules in a tightly regulated stepping cycle. Efficient gating mechanisms ensure that the sequence of kinetic events proceeds in proper order, generating a large number of successive reaction cycles. To study gating, we created two mutant constructs with extended neck-linkers and measured their properties using single-molecule optical trapping and ensemble fluorescence techniques. Due to a reduction in the inter-head tension, the constructs access an otherwise rarely populated conformational state where both motor heads remain bound to the microtubule. ATP-dependent, processive backstepping and futile hydrolysis were observed under moderate hindering loads. Based on measurements, we formulated a comprehensive model for kinesin motion that incorporates reaction pathways for both forward and backward stepping. In addition to inter-head tension, we find that neck-linker orientation is also responsible for ensuring gating in kinesin.

Background: Kinesin-5 motors are important for formation and maintenance of the bipolar mitotic spindle. Results: ATP binding triggers coupled conformational changes of kinesin-5 specific structural elements in the microtubulebound motor domain. Conclusion: Kinesin-5 mechanochemistry is tuned to its cellular functions. Significance: Subnanometer resolution structure determination of microtubule-bound kinesin-5s and kinetics experiments reveal the molecular basis of their motor properties and of drug inhibition.