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.     

Side chain orientation from methyl 1H-1H residual dipolar couplings measured in highly deuterated proteins

High-level deuteration is a prerequisite for the study of high molecular weight systems using liquid-state NMR. Here, we present new experiments for the measurement of proton-proton dipolar couplings in CH(2)D methyl groups of (13)C labeled, highly deuterated (70-80%) proteins. (1)H-(1)H residual dipolar couplings (RDCs) have been measured in two alignment media for 57 out of 70 possible methyl containing residues in the 167-residue flavodoxin-like domain of the E. coli sulfite reductase. These data yield information on the orientation of the methyl symmetry axis with respect to the molecular alignment frame. The alignment tensor characteristics were obtained very accurately from a set of backbone RDCs measured on the same protein sample. To demonstrate that accurate structural information is obtained from these data, the measured methyl RDCs for Valine residues are analyzed in terms of chi(1) torsion angles and stereospecific assignment of the prochiral methyl groups. On the basis of the previously determined backbone solution structure of this protein, the methyl RDC data proved sufficient to determine the chi(1) torsion angles in seven out of nine valines, assuming a single-rotamer model. Methyl RDCs are complementary to other NMR data, for example, methyl-methyl NOE, to determine side chain conformation in high molecular weight systems.     

Simultaneous assignment of all diastereotopic protons in strychnine using RDCs: PELG as alignment medium for organic molecules

The concept of using residual dipolar couplings (RDCs) for the structure determination of organic molecules is applied to the simultaneous assignment of all diastereotopic protons in strychnine. To use this important NMR parameter the molecule has to be aligned in the magnetic field. Here we present a new alignment medium for organic substrates. The optimization of the alignment properties of mixtures of poly-gamma-ethyl-L-glutamate (PELG) and CDCl(3) are described and the alignment properties of PELG at different concentrations are evaluated. A comparison of PELG with poly-gamma-benzyl-L-glutamate (PBLG) shows considerable differences in the magnitude of alignment for strychnine in the two alignment media. PELG induces a lower degree of order and makes the measurement of residual dipolar couplings (RDCs) in strychnine possible. All one-bond C-H RDCs of strychnine in PELG were determined by using 2D heteronuclear single quantum coherence (HSQC) spectroscopy. The strategy for the extraction of RDCs for methylene groups is described in detail. The RDCs and order parameters are used to assign pairs of diastereotopic protons. This methodology can distinguish not only one pair of diastereotopic protons but it can be used to assign all pairs of diastereotopic protons simultaneously. Two different calculation approaches to achieve this task are described in detail.     

Elongated Bacterial Pili as a Versatile Alignment Medium for NMR Spectroscopy

In NMR spectroscopy, residual dipolar couplings (RDCs) have emerged as one of the most exquisite probes of biological structure and dynamics. The measurement of RDCs relies on the partial alignment of the molecule of interest, for example by using a liquid crystal as a solvent. Here, we establish bacterial type 1 pili as an alternative liquid-crystalline alignment medium for the measurement of RDCs. To achieve alignment at pilus concentrations that allow for efficient NMR sample preparation, we elongated wild-type pili by recombinant overproduction of the main structural pilus subunit. Building on the extraordinary stability of type 1 pili against spontaneous dissociation and unfolding, we show that the medium is compatible with challenging experimental conditions such as high temperature, the presence of detergents, organic solvents or very acidic pH, setting it apart from most established alignment media. Using human ubiquitin, HIV-1 TAR RNA and camphor as spectroscopic probes, we demonstrate the applicability of the medium for the determination of RDCs of proteins, nucleic acids and small molecules. Our results show that type 1 pili represent a very useful alternative to existing alignment media and may readily assist the characterization of molecular structure and dynamics by NMR.     

Magnetic Alignment of Polymer Macro‐Nanodiscs Enables Residual‐Dipolar‐Coupling‐Based High‐Resolution Structural Studies by NMR Spectroscopy

Experimentally measured residual dipolar couplings (RDCs) are highly valuable for atomic‐resolution structural and dynamic studies of molecular systems ranging from small molecules to large proteins by solution NMR spectroscopy. Here we demonstrate the first use of magnetic‐alignment behavior of lyotropic liquid‐crystalline polymer macro‐nanodiscs (>20 nm in diameter) as a novel alignment medium for the measurement of RDCs using high‐resolution NMR. The easy preparation of macro‐nanodiscs, their high stability against pH changes and the presence of divalent metal ions, and their high homogeneity make them an efficient tool to investigate a wide range of molecular systems including natural products, proteins, and RNA.     

Measurements of side-chain 13C-13C residual dipolar couplings in uniformly deuterated proteins

13C-only spectroscopy was used to measure multiple residual (13)C-(13)C dipolar couplings (RDCs) in uniformly deuterated and (13)C-labeled proteins. We demonstrate that (13)C-start and (13)C-observe spectra can be routinely used to measure an extensive set of the side-chain residual (13)C-(13)C dipolar couplings upon partial alignment of human ubiquitin in the presence of bacteriophages Pf1. We establish that, among different broadband polarization transfer schemes, the FLOPSY family can be used to exchange magnetization between a J coupled network of spins while largely decoupling dipolar interactions between these spins. An excellent correlation between measured RDCs and the 3D structure of the protein was observed, indicating a potential use of the (13)C-(13)C RDCs in the structure determination of perdeuterated proteins.     

Probing Long-Range Anisotropic Interactions: a General and Sign-Sensitive Strategy to Measure 1H–1H Residual Dipolar Couplings as a Key Advance for Organic Structure Determination

Residual dipolar couplings (RDCs) are amongst the most powerful NMR parameters for organic structure elucidation. In order to maximize their effectiveness in increasingly complex cases such as flexible compounds, a maximum of RDCs between nuclei sampling a large distribution of orientations is needed, including sign information. For this, the easily accessible one-bond ¹H–¹³C RDCs alone often fall short. Long-range ¹H–¹H RDCs are both abundant and typically sample highly complementary orientations, but accessing them in a sign-sensitive way has been severely obstructed due to the overflow of ¹H–¹H couplings. Here, we present a generally applicable strategy that allows the measurement of a large number of ¹H–¹H RDCs, including their signs, which is based on a combination of an improved PSYCHEDELIC method and a new selective constant-time β-COSY experiment. The potential of ¹H–¹H RDCs to better determine molecular alignment and to discriminate between enantiomers and diastereomers is demonstrated.     

Dipolar waves as NMR maps of protein structure

The anisotropy of nuclear spin interactions results in a unique mapping of structure to the resonance frequencies and split tings observed in NMR spectra, however, the determination of molecular structure from experimentally measured spectral parameters is complicated by angular ambiguities resulting from the symmetry properties of dipole-dipole and chemical shift interactions. This issue can be addressed through the periodicity inherent in secondary structure elements, which can be used as an index of topology. Distinctive wheel-like patterns are observed in two-dimensional 1H-15N heteronuclear dipolar/15N chemical shift PISEMA (polarization inversion spin-exchange at the magic angle) spectra of helical membrane proteins in highly aligned lipid bilayer samples. One-dimensional dipolar waves are an extension of two-dimensional PISA (polarity index slant angle) wheels to map protein structure in NMR spectra of both highly and weakly aligned samples. Dipolar waves describe the periodic wavelike variations of the magnitudes of the static heteronuclear dipolar couplings as a function of residue number in the absence of chemical shift effects. Weakly aligned samples of proteins display these same effects, primarily as residual dipolar couplings (RDCs), in solution NMR spectra. The corresponding properties of the RDCs in solution NMR spectra of weakly aligned helices represent a convergence of solid-state and solution NMR approaches to structure determination.     

Probing Long‐Range Anisotropic Interactions: a General and Sign‐Sensitive Strategy to Measure 1H–1H Residual Dipolar Couplings as a Key Advance for Organic Structure Determination

Residual dipolar couplings (RDCs) are amongst the most powerful NMR parameters for organic structure elucidation. In order to maximize their effectiveness in increasingly complex cases such as flexible compounds, a maximum of RDCs between nuclei sampling a large distribution of orientations is needed, including sign information. For this, the easily accessible one‐bond ¹H–¹³C RDCs alone often fall short. Long‐range ¹H–¹H RDCs are both abundant and typically sample highly complementary orientations, but accessing them in a sign‐sensitive way has been severely obstructed due to the overflow of ¹H–¹H couplings. Here, we present a generally applicable strategy that allows the measurement of a large number of ¹H–¹H RDCs, including their signs, which is based on a combination of an improved PSYCHEDELIC method and a new selective constant‐time β‐COSY experiment. The potential of ¹H–¹H RDCs to better determine molecular alignment and to discriminate between enantiomers and diastereomers is demonstrated.     

Determination of the packing mode of the coiled-coil domain of cGMP-dependent protein kinase Ialpha in solution using charge-predicted dipolar couplings

Coiled-coil motifs are ubiquitous in biology and play essential roles in protein assembly and molecular recognition. Here, we show that the relative orientation and stoichiometry of coiled-coil proteins in solution can be determined by comparison of residual dipolar couplings (RDCs) measured in charged liquid-crystalline medium with values predicted from the three-dimensional charge distribution of the protein. Comparison of charge-predicted RDCs with a small set of one-bond 1DNH dipolar couplings, measured in the negatively charged liquid-crystalline Pf1 bacteriophage medium, identified the coiled-coil region of the cGMP-dependent protein kinase I as a parallel homodimer in solution and ruled out an antiparallel dimeric or monomeric state. The method is very rapid, applicable to a wide variety of liquid crystals used in biological NMR to date, and can be applied to coiled-coil structures and other proteins with higher order assembly.     

Probing motions between equivalent RNA domains using magnetic field induced residual dipolar couplings: accounting for correlations between motions and alignment

Approaches developed thus for extracting structural and dynamical information from RDCs have rested on the assumption that motions do not affect molecular alignment. However, it is well established that molecular alignment in ordered media is dependent on conformation, and slowly interconverting conformational substates may exhibit different alignment properties. Neglecting these correlation effects can lead to aberrations in the structural and dynamical analysis of RDCs and diminish the utility of RDCs in probing motions between domains having similar alignment propensities. Here, we introduce a new approach based on measurement of magnetic field induced residual dipolar couplings in nucleic acids which can explicitly take into account such correlations and demonstrate measurements of motions between two "magnetically equivalent" domains in the transactivation response element (TAR) RNA.     

Residual dipolar couplings in short peptides reveal systematic conformational preferences of individual amino acids

Residual dipolar couplings (RDCs) observed by NMR in solution under weak alignment conditions can monitor average net orientations and order parameters of individual bonds. By their simple geometrical dependence, RDCs bear particular promise for the quantitative characterization of conformations in partially folded or unfolded proteins. We have systematically investigated the influence of amino acid substitutions X on the conformation of unfolded model peptides EGAAXAASS as monitored by their (1)H(Nu)-(15)N and (1)H(alpha)-(13)C(alpha) RDCs detected at natural abundance of (15)N and (13)C in strained polyacrylamide gels. In total, 14 single amino acid substitutions were investigated. The RDCs show a specific dependence on the substitution X that correlates to steric or hydrophobic interactions with adjacent amino acids. In particular, the RDCs for the glycine and proline substitutions indicate less or more order, respectively, than the other amino acids. The RDCs for aromatic substitutions tryptophane and tyrosine give evidence of a kink in the peptide backbone. This effect is also observable for orientation by Pf1 phages and corroborated by variations in (13)C(alpha) secondary shifts and (3)J(HNH)(alpha) scalar couplings in isotropic samples. RDCs for a substitution with the beta-turn sequence KNGE differ from single amino acid substitutions. Terminal effects and next neighbor effects could be demonstrated by further specific substitutions. The results were compared to statistical models of unfolded peptide conformations derived from PDB coil subsets, which reproduce overall trends for (1)H(Nu)-(15)N RDCs for most substitutions, but deviate more strongly for (1)H(alpha)-(13)C(alpha) RDCs. The outlined approach opens the possibility to obtain a systematic experimental characterization of the influence of individual amino acid/amino acid interactions on orientational preferences in polypeptides.     

Limited flexibility of lactose detected from residual dipolar couplings using molecular dynamics simulations and steric alignment methods

The conformational flexibility of lactose in solution has been investigated by residual dipolar couplings (RDCs). One-bond carbon-proton and proton-proton coupling constants have been measured in two oriented media and interpreted in combination with molecular dynamics simulations (MD). Two different approaches, known as PALES (Zweckstetter et al., J. Am. Chem. Soc. 2000, 122, 3791-3792) and TRAMITE (Azurmendi et al., J. Am. Chem. Soc. 2002, 124, 2426-2427), have been used to determine the alignment tensor from a shape-induced alignment model with the oriented medium. The steric alignment of the structures from several MD trajectories has provided ensemble averaged RDCs that have been compared with the experimental ones. The obtained results reveal the almost exclusive presence of a major low energy region defined as syn-phi/syn-psi (> 97%), for which sampling occurs in a dynamic manner. This result satisfactorily agrees with that determined by standard NOE-based methods.     

Is styrene planar in liquid phases?

The proton NMR spectra of two (13)C-labeled isotopomers of styrene dissolved in two liquid crystalline solvents have been obtained and analyzed to yield four sets each of 24 dipolar couplings. These couplings were then used to investigate the structure of the ring and the ene fragments of the molecule, and the position of the maximum, phi(0), in the ring-ene bond rotational probability distribution. To do this, the effect on the dipolar couplings of small-amplitude vibrational motion was taken into account using vibrational wave functions calculated by molecular orbital and density functional methods. It is concluded that the NMR data are consistent with the ring fragment, averaged over the ring-ene rotation, planar, while the ene fragment is not. The value of phi(0) is found to be 18.0 degrees +/-0.2 degrees for the two solutions, compared with a value of 27 degrees calculated by the molecular method MP2/6-31G(*).     

Stretched poly(dimethylsiloxane) gels as NMR alignment media for apolar and weakly polar organic solvents: an ideal tool for measuring RDCs at low molecular concentrations

The measurement of residual dipolar couplings (RDCs), meanwhile a standard method for obtaining structural information in biomolecular NMR, requires partial alignment of the sample. Special demands on alignment media so far limit the applicability of this approach to small molecules in organic solvents. Major limitations are the free scalability of alignment and the suppression of residual signals of the alignment medium to allow effective measurement of low-concentration samples. Here, we present stretched poly(dimethylsiloxane) (PDMS) cross-linked by beta-rays as an alignment medium with no visible impurities in 1H NMR spectra but a single signal at approximately 0.1 ppm that can easily be removed by slightly modified water suppression methods. Besides the free scalability, its applicability to the measurement of RDCs in small molecules at low concentration is demonstrated on a approximately 12 mM sample of spiroindene. The induced alignment tensor in this case can be predicted reasonably well by a simplified model on the basis of steric interactions only.     

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.     

Protein alignment by a coexpressed lanthanide-binding tag for the measurement of residual dipolar couplings

A protein fusion construct of human ubiquitin with an N-terminal lanthanide binding tag (LBT) enables observation of long-range orientational restraints in solution NMR from residual dipolar couplings (RDCs) due to paramagnetic alignment of the protein. The paramagnetic lanthanide ions Tb3+, Dy3+, and Tm3+ are shown to bind to the LBT and induce different alignment tensors, in agreement with theory. RDCs, measured relative to the diamagnetic Lu3+, range from -7.6 to 5.5 Hz for Tb3+ and -6.6 to 6.1 Hz for Dy3+, while an opposite alignment tensor is observed for Tm3+ (4.5 to -2.9 Hz) at 800 MHz. Experimental RDCs are in excellent agreement with those predicted on the basis of the X-ray structure of the protein.     

NMR spectroscopic characterization of the membrane affinity of polyols

Residual dipolar couplings (RDCs) are applied here for the analysis of weak, transient binding events between phosphatidylcholine bilayers and polyols. Large signal responses are observed even for low percentages of 'ligand-receptor complexes', making RDCs a sensitive tool for the analysis of molecular recognition events. The different degree of alignment in solution can be compared as a result of the calculation of the alignment tensor elements. By varying polarity and/or charge of the molecules under investigation, nonspecific hydrophobic effects can be excluded.