Paramagnetically induced residual dipolar couplings for solution structure determination of lanthanide binding proteins

Lanthanides may substitute calcium in calcium-binding proteins, such as, for instance, EF-hand proteins. Paramagnetic lanthanides are capable of orienting the protein in high magnetic fields to an extent similar to that obtained by using orienting devices, and each lanthanide orients according to its magnetic susceptibility tensor. Here, Ce(3+), Tb(3+), Dy(3+), Ho(3+), Er(3+), Tm(3+), Yb(3+) in the C-terminal site of calbindin D(9k) have been investigated. Such systems provide (1)H-(15)N residual dipolar couplings (rdc) which can be used for solution structure determinations. Within the frame of optimizing the use of residual dipolar couplings for efficient solution structure determination, it is proposed here to use a number of lanthanides (e.g., >2) to obtain the orientations of the internuclear vectors with respect to an arbitrary reference system. This is facilitated by the independent knowledge of the magnetic susceptibility anisotropy tensor of each metal, obtained from the analysis of the pseudocontact shifts. A further module of the program PARAMAGNETIC-DYANA, called RDCDYANA-ANGLES, is developed to efficiently incorporate such rdc-derived orientations, instead of the rdc themselves, as constraints in the solution structure calculation. This strategy is absolutely general and can be extended to any other pair of dipole-dipole coupled nuclei. The effect of mobility is also assessed. In principle, information on the mobility can be obtained with a number of lanthanide ions >5, or by combining a smaller number of lanthanide ions with a few orienting devices.     

Weak alignment of biomacromolecules in collagen gels: an alternative way to yield residual dipolar couplings for NMR measurements

Collagen, consisting of glycine, proline, and hydroxyproline, is a fibrous protein that can form a rope-like left-hand triple helix structure. It is demonstrated here that the collagen gels prepared from polymerization in the magnetic field can provide weak alignment for protein. The alignment order induced by collagen gels is quite small when compared to other alignment media, but the magnitude of the dipolar couplings can be easily scaled up by increasing the initial concentration of collagen. The collagen gels showed good pH and detergent tolerance. These advantages of collagen gels make it a promising candidate for the alignment of large biomolecules or membrane protein-detergent complexes in the magnetic field.     

Direct structure determination using residual dipolar couplings: reaction-site conformation of methionine sulfoxide reductase in solution

Residual dipolar couplings (RDC) from partially aligned molecules provide long-range structural data and are thus particularly well adapted to rapid structure validation or protein fold recognition. Extensive measurements in two alignment media can also provide precise de novo structure from RDC alone. We have applied a novel combination of these approaches to the study of methionine sulfoxide reductase (MsrA) from Erwinia chrysanthemi, a 27 kDa enzyme essential for repairing oxidative stress damage. The tertiary fold was initially validated by comparing backbone RDC to expected values from the crystal structure of the homologous MsrA from Escherichia coli. Good agreement was found throughout the chain, verifying the overall topology of the molecule, with the exception of the catalytically important peptide P196-L202, where strong and systematic RDC violation was observed. No evidence for local differential mobility in this region was detected, implying that the structure of the strand differs in the two molecules. We have therefore applied the de novo approach meccano to determine the conformation of this peptide using only RDC. A single conformation is found that is in agreement with all measured data. The aligned peptide can be docked onto the expected covalence of the rest of the template molecule while respecting its strictly defined relative orientation. In contrast to the structure of MsrA from E. coli, the reactive side chain of Cys200 is oriented toward the interior of the molecule and therefore closer to the catalytic Cys53, obviating the need for previously proposed conformational reorganization prior to formation of this disulfide intermediate. This analysis requires only backbone assignment and uses unambiguously assigned and readily measurable structural data, thereby greatly economizing investigation time compared to established nuclear Overhauser effect- (nOe-) based structure calculation methods.     

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.     

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.     

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.     

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.     

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.     

Glycosidic torsional motions in a bicelle-associated disaccharide from residual dipolar couplings

An analysis of torsional motions about glycosidic bonds in a disaccharide is undertaken using residual dipolar coupling measurements and selective immobilization of the reducing end sugar to provide a suitable motional reference. The immobilization is accomplished by using the short chain of an alkyl glycoside to anchor the disaccharide to a bilayer medium aligned in magnetic field. Motions about the beta-(1-4) linkage of the n-butyl-4-O-beta-d-galactopyranosyl-alpha-d-mannopyranoside are shown to be substantial (+/-40 degrees ) and in good agreement with predictions of a fully solvated molecular dynamics simulation.     

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.     

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.     

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.     

Experimental and theoretical determination of nucleic acid magnetic susceptibility: importance for the study of dynamics by field-induced residual dipolar couplings

Magnetic susceptibility anisotropies (Deltachi) are determined for the nucleic acid bases on the basis of a combined NMR spectroscopic and DFT study. Magnetic field-induced residual dipolar couplings (RDC) measured for the Dickerson dodecamer allow for the determination of a precise value of Deltachi for this DNA. A tensor summation employing the results of DFT calculations of the individual base magnetic susceptibility tensors and the known structure of the dodecamer provides a value of Deltachi which is in excellent agreement with experiment. The DFT results are shown to provide superior agreement with experiment for the dodecamer and a protein-DNA complex when compared with other sets of values in common use in the literature. The marked discrepancy between our Deltachi values and existing sets of values has a direct and significant impact on the interpretation of field-induced anisotropic interactions in terms of biomolecular structure and dynamics.     

Molecular structure extracted from residual dipolar couplings: diphenylmethane dissolved in a nematic liquid crystal

This paper describes an analysis of 1H-1H residual dipolar couplings (RDCs) in diphenylmethane (DPM) dissolved in a nematic liquid crystal, reported by Celebre et al. [J. Chem. Phys. 118, 6417 (2003)]. In that article, the conformational distribution function for DPM was extracted from the RDCs, using the additive potential (AP) model which is based on the molecular-field theory. The AP approach is a powerful, and frequently used, tool for analysis of the nuclear-magnetic-resonance (NMR) parameters in liquid crystals. It requires, however, a priori knowledge of the functional form of the torsional potential, which may even for a simple molecule, such as DPM, be complicated to determine. Here, we analyze the same set of the RDCs using our APME procedure, which is a hybrid model based on the AP approach and maximum entropy (ME) theory. The APME procedure does not require any assumptions about the functional form of the torsional potential and, in contrast with the ME method, is applicable to weakly ordered systems. In the investigation reported in the present study, the results from the APME analysis are in good agreement with the AP interpretation, whereas the ME approach essentially fails in the extraction of the conformational distribution function for DPM.