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In the past three decades, the ability to optically manipulate biomolecules has spurred a new era of medical and biophysical research. Optical tweezers (OT) have enabled experimenters to trap, sort, and probe cells, as well as discern the structural dynamics of proteins and nucleic acids at single molecule level. The steady improvement in OT’s resolving power has progressively pushed the envelope of their applications; there are, however, some inherent limitations that are prompting researchers to look for alternatives to the conventional techniques. To begin with, OT are restricted by their one-dimensional approach, which makes it difficult to conjure an exhaustive three-dimensional picture of biological systems. The high-intensity trapping laser can damage biological samples, a fact that restricts the feasibility of in vivo applications. Finally, direct manipulation of biological matter at nanometer scale remains a significant challenge for conventional OT. A significant amount of literature has been dedicated in the last 10 years to address the aforementioned shortcomings. Innovations in laser technology and advances in various other spheres of applied physics have been capitalized upon to evolve the next generation OT systems. In this review, we elucidate a few of these developments, with particular focus on their biological applications. The manipulation of nanoscopic objects has been achieved by means of plasmonic optical tweezers (POT), which utilize localized surface plasmons to generate optical traps with enhanced trapping potential, and photonic crystal optical tweezers (PhC OT), which attain the same goal by employing different photonic crystal geometries. Femtosecond optical tweezers (fs OT), constructed by replacing the continuous wave (cw) laser source with a femtosecond laser, promise to greatly reduce the damage to living samples. Finally, one way to transcend the one-dimensional nature of the data gained by OT is to couple them to the other large family of single molecule tools, i.e., fluorescence-based imaging techniques. We discuss the distinct advantages of the aforementioned techniques as well as the alternative experimental perspective they provide in comparison to conventional OT.

The elastic properties of the double-stranded DNA handles used in optical tweezers experiments on biomolecules are customarily modeled by an extensible worm-like chain model. Fitting such a model to experimental data, however, is no trivial task, as the function depends on four parameters in a highly non-linear fashion. We hereby propose a method to bypass the fitting procedure and obtain an empirical force vs. extension curve that accurately reproduces the elasticity of the handles.

Significance Protein misfolding can lead to neurodegeneration. Yet, the mechanistic details of this deleterious phenomenon are largely unknown, as experimental portrayals of the early and reversible molecular events leading to misfolded conformations have so far remained highly limited. Here we use single-molecule optical tweezers to monitor the structural rearrangements leading to misfolded conformations of human neuronal calcium sensor-1, a protein linked to serious neurological disorders. We identified two distinct and calcium-dependent misfolding trajectories originating from an on-pathway folding intermediate. Remarkably for a calcium sensor, pathologically high calcium concentrations impede correct folding by increasing the occupation probabilities of the misfolded states. The results open ostensible links between protein misfolding and calcium dysregulation that could be important in neurodegeneration and its potential inhibition.

Recent advances in non-equilibrium statistical mechanics and single-molecule technologies have made it possible to use irreversible work measurements to extract free-energy differences associated with the mechanical (un)folding of molecules. To date, free-energy recovery has been focused on native (or equilibrium) molecular states, but free-energy measurements of kinetic states have remained unexplored. Kinetic states are metastable, finite-lifetime states that are generated dynamically, and play important roles in diverse physical processes. In biophysics, there are many examples in which these states determine the fate of molecular reactions, including protein binding, enzymatic reactions, as well as the formation of transient intermediate states during molecular-folding processes. Here we demonstrate that it is possible to obtain free energies of kinetic states by applying extended fluctuation relations, using optical tweezers to mechanically unfold and refold deoxyribonucleic acid (DNA) structures exhibiting intermediate and misfolded kinetic states. Short-lived kinetic states between equilibria are difficult to access experimentally, despite being crucial in many dynamical processes. Single-molecule experiments demonstrate that an extended fluctuation relation allows extraction of the free energies of these metastable states under non-equilibrium conditions.

The elastic properties of the double-stranded DNA handles used in optical tweezers experiments on biomolecules are customarily modeled by an extensible worm-like chain model. Fitting such model to experimental data however is no trivial task, as the function depends on four parameters in a highly non-linear fashion. We hereby propose a method to bypass the fitting procedure and obtain an empirical force vs. extension curve that accurately reproduce the elasticity of the handles.

Binding of ligands is often crucial for function yet the effects of ligand binding on the mechanical stability and energy landscape of proteins are incompletely understood. Here we use a combination of single-molecule optical tweezers and MD simulations to investigate the effect of ligand binding on the energy landscape of acyl-coenzyme A (CoA) binding protein (ACBP). ACBP is a topologically simple and highly conserved four-alpha-helix bundle protein that acts as an intracellular transporter and buffer for fatty-acyl CoA and is active in membrane assembly. We have previously described the behavior of ACBP under tension, revealing a highly extended transition state (TS) located almost halfway between the unfolded and native states. Here, we performed force-ramp and force-jump experiments, in combination with advanced statistical analysis, to show that octanoyl-CoA binding increases the activation free energy for the unfolding reaction of ACBP without affecting the position of the transition state along the reaction coordinate. It follows that ligand binding enhances the mechanical resistance and thermodynamic stability of the protein, without changing its mechanical compliance. Steered molecular dynamics simulations allowed us to rationalize the results in terms of key interactions that octanoyl-CoA establishes with the four alpha-helices of ACBP and showed that the unfolding pathway is marginally affected by the ligand. The results show that ligand-induced mechanical stabilization effects can be complex and may prove useful for the rational design of stabilizing ligands.

After reviewing the general scaling properties of aging systems, we present a numerical study of the slow evolution induced in the zeta urn model by a quench from a high temperature to a lower one where a condensed equilibrium phase exists. By considering both one-time and two-time quantities we show that the features of the model fit into the general framework of aging systems. In particular, its behavior can be interpreted in terms of the simultaneous existence of equilibrated and aging degrees with different scaling properties.

In this letter we consider the phase diffusion of a harmonically driven undamped pendulum and show that it is anomalous in the strong sense. The role played by the fractal properties of the phase space is highlighted, providing an illustration of the link between deterministic chaos and anomalous transport. Finally, we build a stochastic model which reproduces most properties of the original Hamiltonian system by alternating ballistic flights and random diffusion.

We investigate the tricritical Ising model in complex magnetic field in order to characterize the analytic structure of its free energy. By supplementing analytic methods with the truncation of conformal space technique we obtain nonperturbative data even if the field theories we consider are not integrable. The existence of edge singularities analogous to the Lee-Yang points in the Ising field theory is confirmed. A surprising result, due to the conformal dimensions of the operators involved, is the appearance of two branching points which seems appealing to identify with a pair of complex conjugate spinodal singularities.