The nonconserved hinge region and distinct amino-terminal domains of the ROR alpha orphan nuclear receptor isoforms are required for proper DNA bending and ROR alpha-DNA interactions.

ROR alpha 1 and ROR alpha 2 are two isoforms of a novel member of the steroid-thyroid-retinoid receptor superfamily and are considered orphan receptors since their cognate ligand has yet to be identified. These putative receptors have previously been shown to bind as monomers to a DNA recognition sequence composed of two distinct moieties, a 3' nuclear receptor core half-site AGGTCA preceded by a 5' AT-rich sequence. Recognition of this bipartite hormone response element (RORE) requires both the zinc-binding motifs and a group of amino acid residues located at the carboxy-terminal end of the DNA-binding domain (DBD) which is referred to here as the carboxy-terminal extension. In this report, we show that binding of ROR alpha 1 and ROR alpha 2 to the RORE induces a large DNA bend of approximately 130 degrees which may be important for receptor function. The overall direction of the DNA bend is towards the major groove at the center of the 3' AGGTCA half-site. The presence of the nonconserved hinge region which is located between the DBD and the putative ligand-binding domain (LBD) or ROR alpha is required for maximal DNA bending. Deletion of a large portion of the amino-terminal domain (NTD) of the ROR alpha protein does not alter the DNA bend angle but shifts the DNA bend center 5' relative to the bend induced by intact ROR alpha. Methylation interference studies using the NTD-deleted ROR alpha 1 mutant indicate that some DNA contacts in the 5' AT-rich half of the RORE are also shifted 5', while those in the 3' AGGTCA half-site are unaffected. These results are consistent with a model in which the ROR alpha NTD and the nonconserved hinge region orient the zinc-binding motifs and the carboxy-terminal extension of the ROR alpha DBD relative to each other to achieve proper interactions with the two halves of its recognition site. Transactivation studies suggest that both protein-induced DNA bending and protein-protein interactions are important for receptor function.     

Energetics at the DNA Supercoiling Transition

Twisting a DNA molecule held under constant tension is accompanied by a transition from a linear to a plectonemic DNA configuration, in which part of the applied twist is absorbed in a superhelical structure. Recent experiments revealed the occurrence of an abrupt extension change at the onset of this transition. To elucidate its origin we study this abrupt DNA shortening using magnetic tweezers. We find that it strongly depends on the length of the DNA molecule and the ionic strength of the solution. This behavior can be well understood in the framework of a model in which the energy per writhe for the initial plectonemic loop is larger than for subsequent turns of the superhelix. By quantitative data analysis, relevant plectoneme energies and other parameters were extracted, providing good agreement with a simple theory. As a direct confirmation of the initial-loop model, we find that for a kinked DNA molecule the abrupt extension change occurs at significantly lower twist than the subsequent superhelix formation. This should allow pinning of the plectoneme position within supercoiled DNA if a kinked substrate is used, and enable the detection of enzymes and proteins which, themselves, bend or kink DNA.     

Extension of torsionally stressed DNA by external force.

Metropolis Monte Carlo simulation was used to study the elasticity of torsionally stressed double-helical DNA. Equilibrium distributions of DNA conformations for different values of linking deficit, external force, and ionic conditions were simulated using the discrete wormlike chain model. Ionic conditions were specified in terms of DNA effective diameter, i.e., hard-core radius of the model chain. The simulations show that entropic elasticity of the double helix depends on how much it is twisted. For low amounts of twisting (less than about one turn per twist persistence length) the force versus extension is nearly the same as in the completely torsionally relaxed case. For more twisting than this, the molecule starts to supercoil, and there is an increase in the force needed to realize a given extension. For sufficiently large amounts of twist, the entire chain is plectonemically supercoiled at low extensions; a finite force must be applied to obtain any extension at all in this regime. The simulation results agree well with the results of recent micromanipulation experiments.     

Monte Carlo implementation of supercoiled double-stranded DNA

Metropolis Monte Carlo simulation is used to investigate the elasticity of torsionally stressed double-stranded DNA, in which twist and supercoiling are incorporated as a natural result of base-stacking interaction and backbone bending constrained by hydrogen bonds formed between DNA complementary nucleotide bases. Three evident regimes are found in extension versus torsion and force versus extension plots: a low-force regime in which over- and underwound molecules behave similarly under stretching; an intermediate-force regime in which chirality appears for negatively and positively supercoiled DNA and extension of underwound molecule is insensitive to the supercoiling degree of the polymer; and a large-force regime in which plectonemic DNA is fully converted to extended DNA and supercoiled DNA behaves quite like a torsionless molecule. The striking coincidence between theoretic calculations and recent experimental measurement of torsionally stretched DNA (Strick et al., Science. 271:1835, 1996; Biophys. J. 74:2016, 1998) strongly suggests that the interplay between base-stacking interaction and permanent hydrogen-bond constraint takes an important role in understanding the novel properties of elasticity of supercoiled DNA polymer.     

Recognition complex between the HMG domain of LEF-1 and its cognate DNA studied by molecular dynamics simulations with explicit solvation

Molecular dynamics simulations of the complex formed between the HMG box of the lymphoid enhancer-binding factor (LEF-1) and its cognate DNA duplex were carried out with explicit inclusion of water. The simulation started with an NMR-based model (pdb code 2LEF) and the dynamics was pursued for 10 nanoseconds without constraints. It revealed that water intervenes in many ionic/polar interactions, establishing in particular local equilibria between direct and water-mediated hydrogen bonds, and thus increasing the entropy of the complex. Quite unexpectedly, the simulation indicated that a binding pocket for a specific water molecule may be reversibly formed at the apex of the bend induced in the DNA helix by LEF-1 binding, where a methionine side chain intercalates between two destacked adenines. We observed that the specific water molecule can temporarily replace the intercalated S-CH(3) group, acting as a sort of "extension" of the side chain. The residence time of this water molecule was about 3.5 ns. Simulations of the cognate DNA alone showed that this sequence has no intrinsic tendency to bend; therefore, the bending occurs solely as a consequence of the recognition, following the "induced-fit" mechanism.     

Colored noise in the fluctuations of an extended DNA molecule detected by optical trapping

We studied fluctuations of an optically trapped bead connected to a single DNA molecule anchored between the bead and a cover glass or between two optically trapped beads. Power spectral densities of the bead position for different extensions of the molecule were compared with the power spectral density of the position fluctuations of the same bead without the molecule attached. Experiments showed that the fluctuations of the DNA molecule extended up to 80% by a force of 3 pN include the colored noise contribution with spectral dependence 1/f ^α with α ∼ 0.75.     

A nanoscale DNA force spectrometer capable of applying tension and compression on biomolecules

Single molecule force spectroscopy is a powerful approach to probe the structure, conformational changes, and kinetic properties of biological and synthetic macromolecules. However, common approaches to apply forces to biomolecules require expensive and cumbersome equipment and relatively large probes such as beads or cantilevers, which limits their use for many environments and makes integrating with other methods challenging. Furthermore, existing methods have key limitations such as an inability to apply compressive forces on single molecules. We report a nanoscale DNA force spectrometer (nDFS), which is based on a DNA origami hinge with tunable mechanical and dynamic properties. The angular free energy landscape of the nDFS can be engineered across a wide range through substitution of less than 5% of the strand components. We further incorporate a removable strut that enables reversible toggling of the nDFS between open and closed states to allow for actuated application of tensile and compressive forces. We demonstrate the ability to apply compressive forces by inducing a large bend in a 249bp DNA molecule, and tensile forces by inducing DNA unwrapping of a nucleosome sample. These results establish a versatile tool for force spectroscopy and robust methods for designing nanoscale mechanical devices with tunable force application.     

Analysis of the gel electrophoresis of looped protein-DNA complexes by computer simulation

The theory of mass transport coupled to reversible interactions under chemical kinetic control forms the basis of a numerical model that has been applied to systems such as lac repressor-lac operator DNA, in which a protein binds in two different modes to linear DNA carrying two specific binding sites. Three complexes may be formed: (1) a linear 1:1 complex with one protein molecule bound to one site on the DNA molecule; (2) a 1:1 complex in which a single protein molecule is bound to both sites simultaneously, thereby inducing a large DNA loop; and (3) a 2:1 linear complex in which two protein molecules are bound in tandem, each occupying a single site. The computational model affords a quantitative numerical simulation of the observed gel electrophoretic patterns produced by titration of the DNA with protein and provides new insights into the shape and nature of the patterns. In particular, the patterns may represent unimodal or bimodal reaction zones. Nevertheless, analysis of the peaks in the patterns obtained at low DNA and high protein concentration provides essential information as to the stoichiometry of the complexes and satisfactory estimates of association constants. The theory thus provides the experimenter with guidelines for quantitative evaluation of the results of gel retardation assays of the particular system under investigation, once protein-induced DNA (or RNA) loops have been established by independent physical or chemical methods. It is suggested that these insights might also find application to systems involving the binding of two or three different proteins to DNA with loop formation.     

Determination of the elastic properties of short ssDNA molecules by mechanically folding and unfolding DNA hairpins

The characterization of elastic properties of biopolymers is crucial to understand many molecular reactions determined by conformational bending fluctuations of the polymer. Direct measurement of such elastic properties using single‐molecule methods is usually hindered by the intrinsic tendency of such biopolymers to form high‐order molecular structures. For example, single‐stranded deoxyribonucleic acids (ssDNA) tend to form secondary structures such as local double helices that prevent the direct measurement of the ideal elastic response of the ssDNA. In this work, we show how to extract the ideal elastic response in the entropic regime of short ssDNA molecules by mechanically pulling two‐state DNA hairpins of different contour lengths. This is achieved by measuring the force dependence of the molecular extension and stiffness on mechanically folding and unfolding the DNA hairpin. Both quantities are fit to the worm‐like chain elastic model giving values for the persistence length and the interphosphate distance. This method can be used to unravel the elastic properties of short ssDNA and RNA sequences and, more generally, any biopolymer that can exhibit a cooperative two‐state transition between mechanically folded and unfolded states (such as proteins). © 2014 Wiley Periodicals, Inc. Biopolymers 101: 1193–1199, 2014.     

Skewed Brownian Fluctuations in Single-Molecule Magnetic Tweezers

Measurements in magnetic tweezers rely upon precise determination of the position of a magnetic microsphere. Fluctuations in the position due to Brownian motion allows calculation of the applied force, enabling deduction of the force-extension response function for a single DNA molecule that is attached to the microsphere. The standard approach relies upon using the mean of position fluctuations, which is valid when the microsphere axial position fluctuations obey a normal distribution. However, here we demonstrate that nearby surfaces and the non-linear elasticity of DNA can skew the distribution. Through experiment and simulations, we show that such a skewing leads to inaccurate position measurements which significantly affect the extracted DNA extension and mechanical properties, leading to up to two-fold errors in measured DNA persistence length. We develop a simple, robust and easily implemented method to correct for such mismeasurements.     

DNA Motion Capture Reveals the Mechanical Properties of DNA at the Mesoscale

Single-molecule studies probing the end-to-end extension of long DNAs have established that the mechanical properties of DNA are well described by a wormlike chain force law, a polymer model where persistence length is the only adjustable parameter. We present a DNA motion-capture technique in which DNA molecules are labeled with fluorescent quantum dots at specific sites along the DNA contour and their positions are imaged. Tracking these positions in time allows us to characterize how segments within a long DNA are extended by flow and how fluctuations within the molecule are correlated. Utilizing a linear response theory of small fluctuations, we extract elastic forces for the different, ∼2-μm-long segments along the DNA backbone. We find that the average force-extension behavior of the segments can be well described by a wormlike chain force law with an anomalously small persistence length.     

Quantitative study of polymer conformation and dynamics by single-particle tracking

We present a new method for analyzing the dynamics of conformational fluctuations of individual flexible polymer molecules. In single-particle tracking (SPT), one end of the polymer molecule is tethered to an immobile substratum. A microsphere attached to the other end serves as an optical marker. The conformational fluctuations of the polymer molecule can be measured by optical microscopy via the motion of the microsphere. The bead-and-spring theory for polymer dynamics is further developed to account for the microsphere, and together the measurement and the theory yield quantitative information about molecular conformations and dynamics under nonperturbing conditions. Applying the method to measurements carried out on DNA molecules provides information complementary to recent studies of single DNA molecules under extensional force. Combining high precision measurements with the theoretical analysis presented here creates a powerful tool for studying conformational dynamics of biological and synthetic macromolecules at the single-molecule level.