Roman Tsukanov

Introducing improved structural properties and salt dependence into a coarse-grained model of DNA

We introduce an extended version of oxDNA, a coarse-grained model of deoxyribonucleic acid (DNA) designed to capture the thermodynamic, structural, and mechanical properties of single- and double-stranded DNA. By including explicit major and minor grooves and by slightly modifying the coaxial stacking and backbone-backbone interactions, we improve the ability of the model to treat large (kilobase-pair) structures, such as DNA origami, which are sensitive to these geometric features. Further, we extend the model, which was previously parameterised to just one salt concentration ([Na(+)] = 0.5M), so that it can be used for a range of salt concentrations including those corresponding to physiological conditions. Finally, we use new experimental data to parameterise the oxDNA potential so that consecutive adenine bases stack with a different strength to consecutive thymine bases, a feature which allows a more accurate treatment of systems where the flexibility of single-stranded regions is important. We illustrate the new possibilities opened up by the updated model, oxDNA2, by presenting results from simulations of the structure of large DNA objects and by using the model to investigate some salt-dependent properties of DNA.

Rational design of DNA motors: fuel optimization through single-molecule fluorescence.

While numerous DNA-based molecular machines have been developed in recent years, high operational yield and speed remain a major challenge. To understand the reasons for the limited performance, and to find rational solutions, we applied single-molecule fluorescence techniques and conducted a detailed study of the reactions involved in the operation of a model system comprised of a bipedal DNA walker that strides on a DNA origami track powered by interactions with fuel and antifuel strands. Analysis of the kinetic profiles of the leg-lifting reactions indicates a pseudo-first-order antifuel binding mechanism leading to a rapid and complete leg-lifting, indicating that the fuel-removal reaction is not responsible for the 1% operational yield observed after six steps. Analysis of the leg-placing reactions showed that although increased concentrations of fuel increase the reaction rate, they decrease the yield by consecutively binding the motor and leading to an undesirable trapped state. Recognizing this, we designed asymmetrical hairpin-fuels that by regulating the reaction hierarchy avoid consecutive binding. Motors operating with the improved fuels show 74% yield after 12 consecutive reactions, a dramatic increase over the 1% observed for motors operating with nonhairpin fuels. This work demonstrates that studying the mechanisms of the reactions involved in the operation of DNA-based molecular machines using single-molecule fluorescence can facilitate rationally designed improvements that increase yield and speed and promote the applicability of DNA-based machines.

Disentangling Subpopulations in Single-Molecule FRET and ALEX Experiments with Photon Distribution Analysis

Among the advantages of the single-molecule approach when used to study biomolecular structural dynamics and interaction is its ability to distinguish between and independently observe minor subpopulations. In a single-molecule Förster resonance energy transfer (FRET) and alternating laser excitation diffusion experiment, the various populations are apparent in the resultant histograms. However, because histograms are calculated based on the per-burst mean FRET and stoichiometry ratio and not on the internal photon distribution, much of the acquired information is lost, thereby reducing the capabilities of the method. Here we suggest what to our knowledge is a novel statistical analysis tool that significantly enhances these capabilities, and we use it to identify and isolate static and dynamic subpopulations. Based on a kernel density estimator and a proper photon distribution analysis, for each individual burst, we calculate scores that reflect properties of interest. Specifically, we determine the FRET efficiency and brightness ratio distributions and use them to reveal 1), the underlying structure of a two-state DNA-hairpin and a DNA hairpin that is bound to DNA origami; 2), a minor doubly labeled dsDNA subpopulation concealed in a larger singly labeled dsDNA; and 3), functioning DNA origami motors concealed within a larger subpopulation of defective motors. Altogether, these findings demonstrate the usefulness of the proposed approach. The method was developed and tested using simulations, its rationality is described, and a computer algorithm is provided.

Studying the structural dynamics of bipedal DNA motors with single-molecule fluorescence spectroscopy.

We present a test case example of a detailed single-molecule fluorescence study of one of the most sophisticated and complex DNA devices introduced to date, a recently published autonomous bipedal DNA motor. We used the diffusion-based single-molecule Förster resonance energy transfer technique, coupled to alternating laser excitation (sm-FRET-ALEX), to monitor the motor assembly and operation. The study included verification of the formation of the correct structures, and of the correct motor operation, determination of the formation and stepping reaction yields, and identification of side products. Finally, the mechanisms of the motor assembly and operation were elucidated by measuring the reaction kinetics profile of track-walker binding and of lifting of the walkers leg upon fuel addition. The profiles revealed a fast phase, in which about half of the reaction was completed, followed by a slow phase which adds somewhat to the yield, reflecting the incomplete motor assembly and operation identified in the equilibrium experiments. Although further study is needed to fully understand the reasons for the incomplete assembly and operation, this work demonstrates that single-molecule fluorescence, based on its ability to provide detailed in situ structural dynamics information, inaccessible for traditional methods, constitutes an excellent tool for chaperoning the development of DNA-based technology.

Developing DNA nanotechnology using single-molecule fluorescence.

CONSPECTUS: An important effort in the DNA nanotechnology field is focused on the rational design and manufacture of molecular structures and dynamic devices made of DNA. As is the case for other technologies that deal with manipulation of matter, rational development requires high quality and informative feedback on the building blocks and final products. For DNA nanotechnology such feedback is typically provided by gel electrophoresis, atomic force microscopy (AFM), and transmission electron microscopy (TEM). These analytical tools provide excellent structural information; however, usually they do not provide high-resolution dynamic information. For the development of DNA-made dynamic devices such as machines, motors, robots, and computers this constitutes a major problem. Bulk-fluorescence techniques are capable of providing dynamic information, but because only ensemble averaged information is obtained, the technique may not adequately describe the dynamics in the context of complex DNA devices. The single-molecule fluorescence (SMF) technique offers a unique combination of capabilities that make it an excellent tool for guiding the development of DNA-made devices. The technique has been increasingly used in DNA nanotechnology, especially for the analysis of structure, dynamics, integrity, and operation of DNA-made devices; however, its capabilities are not yet sufficiently familiar to the community. The purpose of this Account is to demonstrate how different SMF tools can be utilized for the development of DNA devices and for structural dynamic investigation of biomolecules in general and DNA molecules in particular. Single-molecule diffusion-based Förster resonance energy transfer and alternating laser excitation (sm-FRET/ALEX) and immobilization-based total internal reflection fluorescence (TIRF) techniques are briefly described and demonstrated. To illustrate the many applications of SMF to DNA nanotechnology, examples of SMF studies of DNA hairpins and Holliday junctions and of the interactions of DNA strands with DNA origami and origami-related devices such as a DNA bipedal motor are provided. These examples demonstrate how SMF can be utilized for measurement of distances and conformational distributions and equilibrium and nonequilibrium kinetics, to monitor structural integrity and operation of DNA devices, and for isolation and investigation of minor subpopulations including malfunctioning and nonreactive devices. Utilization of a flow-cell to achieve measurements of dynamics with increased time resolution and for convenient and efficient operation of DNA devices is discussed briefly. We conclude by summarizing the various benefits provided by SMF for the development of DNA nanotechnology and suggest that the method can significantly assist in the design and manufacture and evaluation of operation of DNA devices.

Conformational Dynamics of DNA Hairpins at Millisecond Resolution Obtained from Analysis of Single-Molecule FRET Histograms

Here we provide high resolution study of DNA hairpin dynamics achieved by probability distribution analysis (PDA) of diffusion-based single-molecule Förster resonance energy transfer (sm-FRET) histograms. The opening and closing rates of three hairpins both free and attached to DNA origami were determined. The agreement with rates previously obtained using the total internal reflection (TIRF) technique and between free hairpins and hairpins attached to origami validated the PDA and demonstrated that the origami had no influence on the hairpin dynamics. From comparison of rates of four DNA hairpins, differing only in stem sequence, and from comparison with rates calculated using nearest-neighbor method and standard transition state theory, we conclude that the unfolding reaction resembles that of melting of DNA duplex with a corresponding sequence and that the folding reaction depends on counterion concentration and not on stem sequence. Our validation and demonstration of the PDA method will encourage its implementation in future high-resolution dynamic studies of freely diffusing biomolecules.

Timing of Z-ring localization in Escherichia coli.

Bacterial cell division takes place in three phases: Z-ring formation at midcell, followed by divisome assembly and building of the septum per se. Using time-lapse microscopy of live bacteria and a high-precision cell edge detection method, we have previously found the true time for the onset of septation, τ(c), and the time between consecutive divisions, τ(g). Here, we combine the above method with measuring the dynamics of the FtsZ-GFP distribution in individual Escherichia coli cells to determine the Z-ring positioning time, τ(z). To analyze the FtsZ-GFP distribution along the cell, we used the integral fluorescence profile (IFP), which was obtained by integrating the fluorescence intensity across the cell width. We showed that the IFP may be approximated by an exponential peak and followed the peak evolution throughout the cell cycle, to find a quantitative criterion for the positioning of the Z-ring and hence the value of τ(z). We defined τ(z) as the transition from oscillatory to stable behavior of the mean IFP position. This criterion was corroborated by comparison of the experimental results to a theoretical model for the FtsZ dynamics, driven by Min oscillations. We found that τ(z) < τ(c) for all the cells that were analyzed. Moreover, our data suggested that τ(z) is independent of τ(c), τ(g) and the cell length at birth, L(0). These results are consistent with the current understanding of the Z-ring positioning and cell septation processes.

Photon-by-Photon Hidden Markov Model Analysis for Microsecond Single-Molecule FRET Kinetics

The function of biological macromolecules involves large-scale conformational dynamics spanning multiple time scales, from microseconds to seconds. Such conformational motions, which may involve whole domains or subunits of a protein, play a key role in allosteric regulation. There is an urgent need for experimental methods to probe the fastest of these motions. Single-molecule fluorescence experiments can in principle be used for observing such dynamics, but there is a lack of analysis methods that can extract the maximum amount of information from the data, down to the microsecond time scale. To address this issue, we introduce H2MM, a maximum likelihood estimation algorithm for photon-by-photon analysis of single-molecule fluorescence resonance energy transfer (FRET) experiments. H2MM is based on analytical estimators for model parameters, derived using the Baum-Welch algorithm. An efficient and effective method for the calculation of these estimators is introduced. H2MM is shown to accurately retrieve the reaction times from ∼1 s to ∼10 μs and even faster when applied to simulations of freely diffusing molecules. We further apply this algorithm to single-molecule FRET data collected from Holliday junction molecules and show that at low magnesium concentrations their kinetics are as fast as ∼104 s-1. The new algorithm is particularly suitable for experiments on freely diffusing individual molecules and is readily incorporated into existing analysis packages. It paves the way for the broad application of single-molecule fluorescence to study ultrafast functional dynamics of biomolecules.

Nucleosome Core Particle Disassembly and Assembly Kinetics Studied Using Single-Molecule Fluorescence.

The stability of the nucleosome core particle (NCP) is believed to play a major role in regulation of gene expression. To understand the mechanisms that influence NCP stability, we studied stability and dissociation and association kinetics under different histone protein (NCP) and NaCl concentrations using single-pair Förster resonance energy transfer and alternating laser excitation techniques. The method enables distinction between folded, unfolded, and intermediate NCP states and enables measurements at picomolar to nanomolar NCP concentrations where dissociation and association reactions can be directly observed. We reproduced the previously observed nonmonotonic dependence of NCP stability on NaCl concentration, and we suggest that this rather unexpected behavior is a result of interplay between repulsive and attractive forces within positively charged histones and between the histones and the negatively charged DNA. Higher NaCl concentrations decrease the attractive force between the histone proteins and the DNA but also stabilize H2A/H2B histone dimers, and possibly (H3/H4)2 tetramers. An intermediate state in which one DNA arm is unwrapped, previously observed at high NaCl concentrations, is also explained by this salt-induced stabilization. The strong dependence of NCP stability on ion and histone concentrations, and possibly on other charged macromolecules, may play a role in chromosomal morphology.