Model-free approach to the dynamic interpretation of residual dipolar couplings in globular proteins.

The effects of internal motions on residual dipolar NMR couplings of proteins partially aligned in a liquid-crystalline environment are analyzed using a 10 ns molecular dynamics (MD) computer simulation of ubiquitin. For a set of alignment tensors with different orientations and rhombicities, MD-averaged dipolar couplings are determined and subsequently interpreted for different scenarios in terms of effective alignment tensors, average orientations of dipolar vectors, and intramolecular reorientational vector distributions. Analytical relationships are derived that reflect similarities and differences between motional scaling of dipolar couplings and scaling of dipolar relaxation data (NMR order parameters). Application of the self-consistent procedure presented here to dipolar coupling measurements of biomolecules aligned in different liquid-crystalline media should allow one to extract in a "model-free" way average orientations of dipolar vectors and specific aspects of their motions.     

Composite alignment media for the measurement of independent sets of NMR residual dipolar couplings

The measurement of independent sets of NMR residual dipolar couplings (RDCs) in multiple alignment media can provide a detailed view of biomolecular structure and dynamics, yet remains experimentally challenging. It is demonstrated here that independent sets of RDCs can be measured for ubiquitin using just a single alignment medium composed of aligned bacteriophage Pf1 particles embedded in a strained polyacrylamide gel matrix. Using this composite medium, molecular alignment can be modulated by varying the angle between the directors of ordering for the Pf1 and strained gel matrix, or by varying the ionic strength or concentration of the Pf1 particles. This approach offers significant advantages in that greater experimental control can be exercised over the acquisition of multi-alignment RDC data while a homogeneous chemical environment is maintained across all of the measured RDC data.     

Nitrogen-14 NMR spectroscopy using residual dipolar splittings in solids

It is shown that nuclear magnetic resonance (NMR) spectra of nitrogen-14 (spin I = 1) can be obtained by indirect detection in powders spinning at the magic angle (MAS). The method relies on the transfer of coherence from a neighboring nucleus with S = 1/2, such as carbon-13, to single- or double-quantum transitions of nitrogen-14 nuclei. The transfer of coherence occurs through second-order quadrupole-dipole cross terms, also known as residual dipolar splittings. The two-dimensional NMR spectra reveal powder patterns determined by the second-order quadrupolar interactions of nitrogen-14. Analysis of the spectra yields the quadrupolar coupling constant, CQ, and asymmetry parameter, etaQ, of nitrogen-14. These parameters can be related to the structure of nitrogen-containing solids.     

Physical interpretation of residual dipolar couplings in neutral aligned media

A novel method is described for rapidly calculating alignment tensors from hydrodynamic shape, required for the prediction of residual dipolar couplings in neutral aligned media. Simulations of alignment were used to show that for steric restriction at a planar surface, the alignment process is dependent on linear hydrodynamic length. However, as discussed, previous methods are not in agreement with this observation. Therefore, the method presented here is the first to provide simple, accurate predictions of the alignment tensor for neutral and dilute media, while being consistent with simulations of alignment. It provides predictions in a fraction of the time of a simulation approach, while aiding physical intuition by providing a direct link between shape and alignment. Not only is this physically gratifying, but it also permits residual dipolar couplings to be applied in demanding situations where simulations of alignment are not desirable, such as in studies of molecular dynamics.     

A novel method for the determination of stereochemistry in six-membered chairlike rings using residual dipolar couplings

A novel method for the determination of the relative stereochemistry of six-membered chairlike ring molecules by residual dipolar couplings is presented. C-H residual dipolar couplings were used to investigate the relative stereochemistry of 4,6-O-ethylidene-d-glucopyranose. For this and similar systems it is not necessary to acquire redundant dipolar couplings and to calculate the orientation order tensor. The presented methodology is a paradigmatic leap for the determination of the relative stereochemistry or remote stereochemistry in this kind of fused ring system. Residual dipolar coupling data were collected by 1D and 2D direct-measurement heteronuclear multiple quantum coherence (HMQC) spectroscopy. It was demonstrated that direct measurement of HMQC was quick and accurate for small molecules at natural abundance.     

13C direct detected NMR increases the detectability of residual dipolar couplings

13C direct detection is becoming an increasingly efficient approach to identify signals of residues that escape detection in 1H detected experiments. Pulse sequences have been developed to obtain 1H partially recoupled experiments for the measurement of the 1JHalphaCalpha and 1JHN couplings with the same resolution available in conventional 1H detected experiments. A consistent set of backbone rdc obtained without any 1H-based experiment has been obtained and shown to be effective for protein solution structure determination.     

Determination of the structures of symmetric protein oligomers from NMR chemical shifts and residual dipolar couplings

Symmetric protein dimers, trimers, and higher-order cyclic oligomers play key roles in many biological processes. However, structural studies of oligomeric systems by solution NMR can be difficult due to slow tumbling of the system and the difficulty in identifying NOE interactions across protein interfaces. Here, we present an automated method (RosettaOligomers) for determining the solution structures of oligomeric systems using only chemical shifts, sparse NOEs, and domain orientation restraints from residual dipolar couplings (RDCs) without a need for a previously determined structure of the monomeric subunit. The method integrates previously developed Rosetta protocols for solving the structures of monomeric proteins using sparse NMR data and for predicting the structures of both nonintertwined and intertwined symmetric oligomers. We illustrated the performance of the method using a benchmark set of nine protein dimers, one trimer, and one tetramer with available experimental data and various interface topologies. The final converged structures are found to be in good agreement with both experimental data and previously published high-resolution structures. The new approach is more readily applicable to large oligomeric systems than conventional structure-determination protocols, which often require a large number of NOEs, and will likely become increasingly relevant as more high-molecular weight systems are studied by NMR.     

Lanthanide-binding peptides for NMR measurements of residual dipolar couplings and paramagnetic effects from multiple angles

Lanthanide-binding peptide tags (LBTs) containing a single cysteine residue can be attached to proteins via a disulfide bond, presenting a flexible means of tagging proteins site-specifically with a lanthanide ion. Here we show that cysteine residues placed in different positions of the LBT can be used to expose the protein to different orientations of the magnetic susceptibility anisotropy (delta chi) tensor and to generate different molecular alignments in a magnetic field. Delta chi tensors determined by nuclear magnetic resonance (NMR) spectroscopy for LBT complexes with Yb3+, Tm3+, and Er3+ suggest a rational way of producing alignment tensors with different orientations. In addition, knowledge of the delta chi tensor of LBT allows modeling of the protein-LBT structures. Despite evidence for residual mobility of the LBTs with respect to the protein, the pseudocontact shifts and residual dipolar couplings displayed by proteins disulfide-bonded to LBTs are greater than those achievable with most other lanthanide binding tags.     

Calculation of residual dipolar couplings from disordered state ensembles using local alignment

Residual dipolar couplings (RDCs) have been observed in disordered states of several proteins. While their nonuniform values were initially surprising, it has been shown that reasonable approximation of experimental RDCs can be obtained using simple statistical coil models and assuming global alignment of each structure, provided that many thousands of conformers are averaged. Here we show that, by using short local alignment tensors, we can achieve good agreement between experimental and simulated RDCs with far fewer structures than required when using global alignment. This makes the possibility of using RDCs as direct restraints in structural calculations of disordered proteins much more feasible. In addition, it provides insight into the nature of RDCs in disordered states, suggesting that they are primarily reporting on local structure.     

On the origin of residual dipolar couplings from denatured proteins

Effects of steric obstruction on random flight chains are examined. Spatial probability distributions are elaborated to calculate residual dipolar couplings and residual chemical shift anisotropy, parameters that are acquired by NMR spectroscopy from solutes dissolved in dilute liquid crystals. Calculations yield chain length and residue position-dependent values in good agreement with simulations to provide understanding of recently acquired data from denatured proteins.     

Probing the diastereotopicity of methylene protons in strychnine using residual dipolar couplings

Residual dipolar couplings were successfully used to distinguish between the two diastereotopic protons on C-20 of strychnine dissolved in an organic liquid crystal (PBLG/CDCl(3)). The results presented here strongly suggest that this method will be of help in organic structure determination, making the determination of relative stereochemistry in the absence of NOE data possible.     

Simultaneous definition of high resolution protein structure and backbone conformational dynamics using NMR residual dipolar couplings.

Despite the importance of molecular dynamics for biological activity, most approaches to protein structure determination, whether based on crystallographic or solution studies, propose three-dimensional atomic representations of a single configuration that take no account of conformational fluctuation. Non-averaged anisotropic NMR interactions, such as residual dipolar couplings, that become measurable under conditions of weak alignment, provide sensitive probes of both molecular structure and dynamics. Residual dipolar couplings are becoming increasingly powerful for the study of proteins in solution. In this minireview we present their use for the simultaneous determination of protein structure and dynamics.     

De novo determination of protein backbone structure from residual dipolar couplings using Rosetta

As genome-sequencing projects rapidly increase the database of protein sequences, the gap between known sequences and known structures continues to grow exponentially, increasing the demand to accelerate structure determination methods. Residual dipolar couplings (RDCs) are an attractive source of experimental restraints for NMR structure determination, particularly rapid, high-throughput methods, because they yield both local and long-range orientational information and can be easily measured and assigned once the backbone resonances of a protein have been assigned. While very extensive RDC data sets have been used to determine the structure of ubiquitin, it is unclear to what extent such methods will generalize to larger proteins with less complete data sets. Here we incorporate experimental RDC restraints into Rosetta, an ab initio structure prediction method, and demonstrate that the combined algorithm provides a general method for de novo determination of a variety of protein folds from RDC data. Backbone structures for multiple proteins up to approximately 125 residues in length and spanning a range of topological complexities are rapidly and reproducibly generated using data sets that are insufficient in isolation to uniquely determine the protein fold de novo, although ambiguities and errors are observed for proteins with symmetry about an axis of the alignment tensor. The models generated are not high-resolution structures completely defined by experimental data but are sufficiently accurate to accelerate traditional high-resolution NMR structure determination and provide structure-based functional insights.     

Imino hydrogen positions in nucleic acids from density functional theory validated by NMR residual dipolar couplings

Hydrogen atom positions of nucleotide bases in RNA structures solved by X-ray crystallography are commonly derived from heavy-atom coordinates by assuming idealized geometries. In particular, N1-H1 vectors in G and N3-H3 vectors in U are commonly positioned to coincide with the bisectors of their respective heavy-atom angles. We demonstrate that quantum-mechanical optimization of the hydrogen positions relative to their heavy-atom frames considerably improves the fit of experimental residual dipolar couplings to structural coordinates. The calculations indicate that deviations of the imino N-H vectors in RNA U and G bases result from H-bonding within the base pair and are dominated by the attractive interaction between the H atom and the electron density surrounding the H-bond-acceptor atom. DFT optimization of H atom positions is impractical in structural biology studies. We therefore have developed an empirical relation that predicts imino N-H vector orientations from the heavy-atom coordinates of the base pair. This relation agrees very closely with the DFT results, permitting its routine application in structural studies.