High-resolution dual-trap optical tweezers with differential detection: an introduction

High-resolution and high-accuracy topographic and transcriptional maps of the nucleosome barrier

Nucleosomes represent mechanical and energetic barriers that RNA Polymerase II (Pol II) must overcome during transcription. A high-resolution description of the barrier topography, its modulation by epigenetic modifications, and their effects on Pol II nucleosome crossing dynamics, is still missing. Here, we obtain topographic and transcriptional (Pol II residence time) maps of canonical, H2A.Z, and monoubiquitinated H2B (uH2B) nucleosomes at near base-pair resolution and accuracy. Pol II crossing dynamics are complex, displaying pauses at specific loci, backtracking, and nucleosome hopping between wrapped states. While H2A.Z widens the barrier, uH2B heightens it, and both modifications greatly lengthen Pol II crossing time. Using the dwell times of Pol II at each nucleosomal position we extract the energetics of the barrier. The orthogonal barrier modifications of H2A.Z and uH2B, and their effects on Pol II dynamics rationalize their observed enrichment in +1 nucleosomes and suggest a mechanism for selective control of gene expression.

Pause sequences facilitate entry into long-lived paused states by reducing RNA polymerase transcription rates

Transcription by RNA polymerase (RNAP) is interspersed with sequence-dependent pausing. The processes through which paused states are accessed and stabilized occur at spatiotemporal scales beyond the resolution of previous methods, and are poorly understood. Here, we combine high-resolution optical trapping with improved data analysis methods to investigate the formation of paused states at enhanced temporal resolution. We find that pause sites reduce the forward transcription rate of nearly all RNAP molecules, rather than just affecting the subset of molecules that enter long-lived pauses. We propose that the reduced rates at pause sites allow time for the elongation complex to undergo conformational changes required to enter long-lived pauses. We also find that backtracking occurs stepwise, with states backtracked by at most one base pair forming quickly, and further backtracking occurring slowly. Finally, we find that nascent RNA structures act as modulators that either enhance or attenuate pausing, depending on the sequence context.

Probing the structural dynamics of proteins and nucleic acids with optical tweezers

Conformational changes are an essential feature of most molecular processes in biology. Optical tweezers have emerged as a powerful tool for probing conformational dynamics at the single-molecule level because of their high resolution and sensitivity, opening new windows on phenomena ranging from folding and ligand binding to enzyme function, molecular machines, and protein aggregation. By measuring conformational changes induced in a molecule by forces applied by optical tweezers, new insight has been gained into the relationship between dynamics and function. We discuss recent advances from studies of how structure forms in proteins and RNA, including non-native structures, fluctuations in disordered proteins, and interactions with chaperones assisting native folding. We also review the development of assays probing the dynamics of complex protein-nucleic acid and protein-protein assemblies that reveal the dynamic interactions between biomolecular machines and their substrates.

Protein structure. Engineering of a superhelicase through conformational control

Conformational control of biomolecular activities can reveal functional insights and enable the engineering of novel activities. Here we show that conformational control through intramolecular cross-linking of a helicase monomer with undetectable unwinding activity converts it into a superhelicase that can unwind thousands of base pairs processively, even against a large opposing force. A natural partner that enhances the helicase activity is shown to achieve its stimulating role also by selectively stabilizing the active conformation. Our work provides insight into the regulation of nucleic acid unwinding activity and introduces a monomeric superhelicase without nuclease activities, which may be useful for biotechnological applications.

Design of a high-quality optical conjugate structure in optical tweezers

We propose an approach to realize a high-quality optical conjugate of a piezo-driven mirror (PM) in optical tweezers. Misalignments between the optical beam and the steering center of the PM are analyzed mathematically. The decentrations in different directions cause different changes, either a position change of the conjugate plane or a spot variation of the beam during PM steering. On the other hand, these misalignment-introduced problems provide the information to check the assembling errors. Thus a wanted conjugate plane of the PM can be effectively and precisely achieved according to the detection signals. This approach is also available to deal with multifactor coupling error. At the end, the procedure for error analysis is given by testing homebuilt optical tweezers.

Step detection in single-molecule real time trajectories embedded in correlated noise

Single-molecule real time trajectories are embedded in high noise. To extract kinetic or dynamic information of the molecules from these trajectories often requires idealization of the data in steps and dwells. One major premise behind the existing single-molecule data analysis algorithms is the gaussian 'white' noise, which displays no correlation in time and whose amplitude is independent on data sampling frequency. This so-called 'white' noise is widely assumed but its validity has not been critically evaluated. We show that correlated noise exists in single-molecule real time trajectories collected from optical tweezers. The assumption of white noise during analysis of these data can lead to serious over- or underestimation of the number of steps depending on the algorithms employed. We present a statistical method that quantitatively evaluates the structure of the underlying noise, takes the noise structure into account, and identifies steps and dwells in a single-molecule trajectory. Unlike existing data analysis algorithms, this method uses Generalized Least Squares (GLS) to detect steps and dwells. Under the GLS framework, the optimal number of steps is chosen using model selection criteria such as Bayesian Information Criterion (BIC). Comparison with existing step detection algorithms showed that this GLS method can detect step locations with highest accuracy in the presence of correlated noise. Because this method is automated, and directly works with high bandwidth data without pre-filtering or assumption of gaussian noise, it may be broadly useful for analysis of single-molecule real time trajectories.

Optical Methods to Study Protein-DNA Interactions in Vitro and in Living Cells at the Single-Molecule Level

The maintenance of intact genetic information, as well as the deployment of transcription for specific sets of genes, critically rely on a family of proteins interacting with DNA and recognizing specific sequences or features. The mechanisms by which these proteins search for target DNA are the subject of intense investigations employing a variety of methods in biology. A large interest in these processes stems from the faster-than-diffusion association rates, explained in current models by a combination of 3D and 1D diffusion. Here, we present a review of the single-molecule approaches at the forefront of the study of protein-DNA interaction dynamics and target search in vitro and in vivo. Flow stretch, optical and magnetic manipulation, single fluorophore detection and localization as well as combinations of different methods are described and the results obtained with these techniques are discussed in the framework of the current facilitated diffusion model.

High-resolution dual-trap optical tweezers with differential detection: instrument design

Optical traps or "optical tweezers" have become an indispensable tool in understanding fundamental biological processes. In this article, we present the design of a high-resolution optical tweezers, which is designed to minimize sensitivity to environmental noise. When the tether is attached to a stage, resolution is typically limited by drift and fluctuations in the relative position of the stage and trap-forming objective, cued by environmental noise. In a dual-trap design, however, the biological system is decoupled entirely from the stage by utilizing two optical traps to hold both ends of the tether. By holding each end of the molecule in an identical fashion, such dual-trap optical tweezers are less sensitive to drift and fluctuations of mechanical components. In our instrument, we form two traps from two orthogonally polarized beams generated by a single laser. As a result, many optical components and much of the optical path traveled are common to both trapping beams, thus minimizing differential movements of one optical trap relative to the other. Additionally, this economical use of optics creates an instrument that is simple and compact, reducing the number of elements susceptible to environmental fluctuations.

High-resolution dual-trap optical tweezers with differential detection: managing environmental noise

Optical traps or "optical tweezers" have become an indispensable tool in understanding fundamental biological processes. The ability to manipulate and probe individual molecules or molecular complexes has led to a new, more refined understanding of the mechanical properties of the fundamental building blocks of the cell, and of the mechanism by which molecular machines function. The minimization and management of noise are the keys to building a high-resolution optical tweezers. The high degree of stability needed to observe angstrom motions of a biological system places rather stringent requirements on the environment in which the instrument operates. Specifically, environmental noise is a concern when it leads to differential movements of the optical trap relative to the second attachment point of the tether. In this article, we discuss what entails a quiet environment--what sources of noise are relevant and how they affect the instrument--and provide guidelines for choosing an appropriate location for a high-resolution instrument.

High-resolution dual-trap optical tweezers with differential detection: data collection and instrument calibration

Optical traps or "optical tweezers" have become an indispensable tool in understanding fundamental biological processes. Dual-trap optical tweezers with differential detection have the advantage that the instrument is decoupled from sources of environmental noise, thereby minimizing interference of signal and maximizing stability and spatial resolution. In this article, we describe methods of data detection and calibration for our dual-trap design.

High-resolution dual-trap optical tweezers with differential detection: alignment of instrument components

Optical traps or "optical tweezers" have become an indispensable tool in understanding fundamental biological processes. Using our design, a dual-trap optical tweezers with differential detection, we can detect length changes to a DNA molecule tethering the trapped beads of 1 bp. By forming two traps from the same laser and maximizing the common optical paths of the two trapping beams, we decouple the instrument from many sources of environmental and instrumental noise that typically limit spatial resolution. The performance of a high-resolution instrument--the formation of strong traps, the minimization of background signals from trap movements, or the mitigation of the axial coupling, for example--can be greatly improved through careful alignment. This procedure, which is described in this article, starts from the laser and advances through the instrument, component by component. Alignment is complicated by the fact that the trapping light is in the near infrared (NIR) spectrum. Standard infrared viewing cards are commonly used to locate the beam, but unfortunately, bleach quickly. As an alternative, we use an IR-viewing charge-coupled device (CCD) camera equipped with a C-mount telephoto lens and display its image on a monitor. By visualizing the scattered light on a pair of irises of identical height separated by >12 in., the beam direction can be set very accurately along a fixed axis.

High-resolution dual-trap optical tweezers with differential detection: minimizing the influence of measurement noise

Optical traps or "optical tweezers" have become an indispensable tool in understanding fundamental biological processes. The environment, the instrument components, and the overall design all have important roles in determining the spatial resolution of an optical trap. However, even with careful attention to these details, the spatial resolution of the optical tweezers is still fundamentally limited by the forces that induce Brownian fluctuations of the trapped microspheres. In this article, we focus on the ways in which the design and implementation of an experiment--the choice of bead size, tether length, and even the method in which the motions of the beads are monitored--can have a large impact on the fundamental resolution of the measurement. By investigating how the Brownian fluctuations depend on experimental parameters and the detection method, we develop a set of guidelines for designing a high-resolution experiment, with a prescription for minimizing the effect of Brownian fluctuations, thus maximizing the resolution of the experiment.