Showing papers in "Journal of Biomolecular NMR in 2007"

Protein backbone chemical shifts predicted from searching a database for torsion angle and sequence homology

Abstract: Chemical shifts of nuclei in or attached to a protein backbone are exquisitely sensitive to their local environment. A computer program, SPARTA, is described that uses this correlation with local structure to predict protein backbone chemical shifts, given an input three-dimensional structure, by searching a newly generated database for triplets of adjacent residues that provide the best match in phi/psi/chi(1 )torsion angles and sequence similarity to the query triplet of interest. The database contains (15)N, (1)H(N), (1)H(alpha), (13)C(alpha), (13)C(beta) and (13)C' chemical shifts for 200 proteins for which a high resolution X-ray (< or =2.4 A) structure is available. The relative importance of the weighting factors for the phi/psi/chi(1) angles and sequence similarity was optimized empirically. The weighted, average secondary shifts of the central residues in the 20 best-matching triplets, after inclusion of nearest neighbor, ring current, and hydrogen bonding effects, are used to predict chemical shifts for the protein of known structure. Validation shows good agreement between the SPARTA-predicted and experimental shifts, with standard deviations of 2.52, 0.51, 0.27, 0.98, 1.07 and 1.08 ppm for (15)N, (1)H(N), (1)H(alpha), (13)C(alpha), (13)C(beta) and (13)C', respectively, including outliers.

Combined chemical shift changes and amino acid specific chemical shift mapping of protein–protein interactions

Abstract: Protein-protein interactions are often studied by chemical shift mapping using solution NMR spectroscopy. When heteronuclear data are available the interaction interface is usually predicted by combining the chemical shift changes of different nuclei to a single quantity, the combined chemical shift perturbation Deltadelta comb In this paper different procedures (published and non-published) to calculate Deltadelta comb are examined that include a variety of different functional forms and weighting factors for each nucleus. The predictive power of all shift mapping methods depends on the magnitude of the overlap of the chemical shift distributions of interacting and non-interacting residues and the cut-off criterion used. In general, the quality of the prediction on the basis of chemical shift changes alone is rather unsatisfactory but the combination of chemical shift changes on the basis of the Hamming or the Euclidian distance can improve the result. The corrected standard deviation to zero of the combined chemical shift changes can provide a reasonable cut-off criterion. As we show combined chemical shifts can also be applied for a more reliable quantitative evaluation of titration data.

Fractional 13C enrichment of isolated carbons using [1-13C]- or [2-13C]-glucose facilitates the accurate measurement of dynamics at backbone Ca and side-chain methyl positions in protein

Abstract: A simple labeling approach is presented based on protein expression in [1-(13)C]- or [2-(13)C]-glucose containing media that produces molecules enriched at methyl carbon positions or backbone C(alpha) sites, respectively. All of the methyl groups, with the exception of Thr and Ile(delta1) are produced with isolated (13)C spins (i.e., no (13)C-(13)C one bond couplings), facilitating studies of dynamics through the use of spin-spin relaxation experiments without artifacts introduced by evolution due to large homonuclear scalar couplings. Carbon-alpha sites are labeled without concomitant labeling at C(beta) positions for 17 of the common 20 amino acids and there are no cases for which (13)C(alpha)-(13)CO spin pairs are observed. A large number of probes are thus available for the study of protein dynamics with the results obtained complimenting those from more traditional backbone (15)N studies. The utility of the labeling is established by recording (13)C R (1rho) and CPMG-based experiments on a number of different protein systems.

KUJIRA, a package of integrated modules for systematic and interactive analysis of NMR data directed to high-throughput NMR structure studies.

Abstract: The recent expansion of structural genomics has increased the demands for quick and accurate protein structure determination by NMR spectroscopy. The conventional strategy without an automated protocol can no longer satisfy the needs of high-throughput application to a large number of proteins, with each data set including many NMR spectra, chemical shifts, NOE assignments, and calculated structures. We have developed the new software KUJIRA, a package of integrated modules for the systematic and interactive analysis of NMR data, which is designed to reduce the tediousness of organizing and manipulating a large number of NMR data sets. In combination with CYANA, the program for automated NOE assignment and structure determination, we have established a robust and highly optimized strategy for comprehensive protein structure analysis. An application of KUJIRA in accordance with our new strategy was carried out by a non-expert in NMR structure analysis, demonstrating that the accurate assignment of the chemical shifts and a high-quality structure of a small protein can be completed in a few weeks. The high completeness of the chemical shift assignment and the NOE assignment achieved by the systematic analysis using KUJIRA and CYANA led, in practice, to increased reliability of the determined structure.

The MUMO (minimal under-restraining minimal over-restraining) method for the determination of native state ensembles of proteins

Abstract: While reliable procedures for determining the conformations of proteins are available, methods for generating ensembles of structures that also reflect their flexibility are much less well established. Here we present a systematic assessment of the ability of ensemble-averaged molecular dynamics simulations with ensemble-averaged NMR restraints to simultaneously reproduce the average structure of proteins and their associated dynamics. We discuss the effects that under-restraining (overfitting) and over-restraining (underfitting) have on the structures generated in ensemble-averaged molecular simulations. We then introduce the MUMO (minimal under-restraining minimal over-restraining) method, a procedure in which different observables are averaged over a different number of molecules. As both over-restraining and under-restraining are significantly reduced in the MUMO method, it is possible to generate ensembles of conformations that accurately characterize both the structure and the dynamics of native states of proteins. The application of the MUMO method to the protein ubiquitin yields a high-resolution structural ensemble with an RDC Q-factor of 0.19.

Positioning of the Alzheimer Aβ(1–40) peptide in SDS micelles using NMR and paramagnetic probes

Abstract: NMR spectroscopy combined with paramagnetic relaxation agents was used to study the positioning of the 40-residue Alzheimer Amyloid β-peptide Aβ(1–40) in SDS micelles. 5-Doxyl stearic acid incorporated into the micelle or Mn2+ ions in the aqueous solvent were used to determine the position of the peptide relative to the micelle geometry. In SDS solvent, the two α-helices induced in Aβ(1–40), comprising residues 15–24, and 29–35, respectively, are surrounded by flexible unstructured regions. NMR signals from these unstructured regions are strongly attenuated in the presence of Mn2+ showing that these regions are positioned mostly outside the micelle. The central helix (residues 15–24) is significantly affected by 5-doxyl stearic acid however somewhat less for residues 16, 20, 22 and 23. This α-helix therefore resides in the SDS headgroup region with the face with residues 16, 20, 22 and 23 directed away from the hydrophobic interior of the micelle. The C-terminal helix is protected both from 5-doxyl stearic acid and Mn2+, and should be buried in the hydrophobic interior of the micelle. The SDS micelles were characterized by diffusion and 15N-relaxation measurements. Comparison of experimentally determined translational diffusion coefficients for SDS and Aβ(1–40) show that the size of SDS micelle is not significantly changed by interaction with Aβ(1–40).

A single-quantum methyl 13C-relaxation dispersion experiment with improved sensitivity.

Abstract: A pulse sequence is described for recording single-quantum (13)C-methyl relaxation dispersion profiles of (13)C-selectively labeled methyl groups in proteins that offers significant improvements in sensitivity relative to existing approaches where initial magnetization derives from (13)C polarization. Sensitivity gains in the new experiment are achieved by making use of polarization from (1)H spins and (1)H --> (13)C --> (1)H type magnetization transfers. Its utility has been established by applications involving three different protein systems ranging in molecular weight from 8 to 28 kDa, produced using a number of different selective labeling approaches. In all cases exchange parameters from both (13)C-->(1)H and (1)H --> (13)C --> (1)H classes of experiment are in good agreement, with gains in sensitivity of between 1.7 and 4-fold realized using the new scheme.

Four-dimensional heteronuclear correlation experiments for chemical shift assignment of solid proteins

Abstract: Chemical shift assignment is the first step in all established protocols for structure determination of uniformly labeled proteins by NMR. The explosive growth in recent years of magic-angle spinning (MAS) solid-state NMR (SSNMR) applications is largely attributable to improved methods for backbone and side-chain chemical shift correlation spectroscopy. However, the techniques developed so far have been applied primarily to proteins in the size range of 5–10 kDa, despite the fact that SSNMR has no inherent molecular weight limits. Rather, the degeneracy inherent to many 2D and 3D SSNMR spectra of larger proteins has prevented complete unambiguous chemical shift assignment. Here we demonstrate the implementation of 4D backbone chemical shift correlation experiments for assignment of solid proteins. The experiments greatly reduce spectral degeneracy at a modest cost in sensitivity, which is accurately described by theory. We consider several possible implementations and investigate the CANCOCX pulse sequence in detail. This experiment involves three cross polarization steps, from H to CA[i], CA[i] to N[i], and N[i] to C′[i−1], followed by a final homonuclear mixing period. With short homonuclear mixing times ( 200 ms), long-range correlations are revealed. For example, a single 4D experiment with 225 ms homonuclear mixing time reveals ∼200 uniquely resolved medium and long-range correlations in the 56-residue protein GB1. In addition to experimental demonstrations in the 56-residue protein GB1, we present a theoretical analysis of anticipated improvements in resolution for much larger proteins and compare these results in detail with the experiments, finding good agreement between experiment and theory under conditions of stable instrumental performance.

Improving cell-free protein synthesis for stable-isotope labeling.

Abstract: Cell-free protein synthesis is suitable for stable-isotope labeling of proteins for NMR analysis. The Escherichia coli cell-free system containing potassium acetate for efficient translation (KOAc system) is usually used for stable-isotope labeling, although it is less productive than other systems. A system containing a high concentration of potassium L-glutamate (L-Glu system), instead of potassium acetate, is highly productive, but cannot be used for stable-isotope labeling of Glu residues. In this study, we have developed a new cell-free system that uses potassium D-glutamate (D-Glu system). The productivity of the D-Glu system is approximately twice that of the KOAc system. The cross peak intensities in the 1H-15N HSQC spectrum of the uniformly stable-isotope labeled Ras protein, prepared with the D-Glu system, were similar to those obtained with the KOAc system, except that the Asp intensities were much higher for the protein produced with the D-Glu system. These results indicate that the D-Glu system is a highly productive cell-free system that is especially useful for stable-isotope labeling of proteins.

A new model for chemical shifts of amide hydrogens in proteins

Abstract: We propose a new computational model to predict amide proton chemical shifts in proteins. In addition to the ring-current, susceptibility and electrostatic effects of earlier models, we add a hydrogen-bonding term based on density functional calculations of model peptide-peptide and peptide-water systems. Both distance and angular terms are included, and the results are rationalized in terms of natural bond orbital analysis of the interactions. Comparison to observed shifts for 15 proteins shows a significant improvement over existing structure-shift correlations. These additions are incorporated in a new version of the SHIFTS program.

1-13C amino acid selective labeling in a 2H15N background for NMR studies of large proteins.

Abstract: Isotope labeling by residue type (LBRT) has long been an important tool for resonance assignments at the limit where other approaches, such as triple-resonance experiments or NOESY methods do not succeed in yielding complete assignments. While LBRT has become less important for small proteins it can be the method of last resort for completing assignments of the most challenging protein systems. Here we present an approach where LBRT is achieved by adding protonated 14N amino acids that are 13C labeled at the carbonyl position to a medium for uniform deuteration and 15N labeling. This has three important benefits over conventional 15N LBRT in a deuterated back ground: (1) selective TROSY-HNCO cross peaks can be observed with high sensitivity for amino-acid pairs connected by the labeling, and the amide proton of the residue following the 13C labeled amino acid is very sharp since its alpha position is deuterated, (2) the 13C label at the carbonyl position is less prone to scrambling than the 15N at the α-amino position, and (3) the peaks for the 1-13C labeled amino acids can be identified easily from the large intensity reduction in the 1H-15N TROSY-HSQC spectrum for some residues that do not significantly scramble nitrogens, such as alanine and tyrosine. This approach is cost effective and has been successfully applied to proteins larger than 40 kDa.

13C- 13C NOESY spectra of a 480 kDa protein: solution NMR of ferritin.

Abstract: Molecular size has limited solution NMR analyses of proteins. We report 13C–13C NOESY experiments on a 480 kDa protein, the multi-subunit ferritin nanocage with gated pores. By exploiting 13C-resonance-specific chemical shifts and spin diffusion effects, we identified 75% of the amino acids, with intraresidue C–C connectivities between nuclei separated by 1–4 bonds. These results show the potential of 13C–13C NOESY for solution studies of molecular assemblies >100 kDa.

Automatic maximum entropy spectral reconstruction in NMR

Abstract: Developments in superconducting magnets, cryogenic probes, isotope labeling strategies, and sophisticated pulse sequences together have enabled the application, in principle, of high-resolution NMR spectroscopy to biomolecular systems approaching 1 megadalton In practice, however, conventional approaches to NMR that utilize the fast Fourier transform, which require data collected at uniform time intervals, result in prohibitively lengthy data collection times in order to achieve the full resolution afforded by high field magnets A variety of approaches that involve nonuniform sampling have been proposed, each utilizing a non-Fourier method of spectrum analysis A very general non-Fourier method that is capable of utilizing data collected using any of the proposed nonuniform sampling strategies is maximum entropy reconstruction A limiting factor in the adoption of maximum entropy reconstruction in NMR has been the need to specify non-intuitive parameters Here we describe a fully automated system for maximum entropy reconstruction that requires no user-specified parameters A web-accessible script generator provides the user interface to the system

Temperature-dependent sensitivity enhancement of solid-state NMR spectra of α-synuclein fibrils

Abstract: The protein α-synuclein (AS) is the primary fibrillar component of Lewy bodies, the pathological hallmark of Parkinson’s disease. Wild-type human AS and the three mutant forms linked to Parkinson’s disease (A53T, A30P, and E46K) all form fibrils through a nucleation-dependent pathway; however, the biophysical details of these fibrillation events are not yet well understood. Atomic-level structural insight is required in order to elucidate the potential role of AS fibrils in Parkinson’s disease. Here we show that low temperature acquisition of magic-angle spinning NMR spectra of wild type AS fibrils-greatly enhances spectral sensitivity, enabling the detection of a substantially larger number of spin systems. At 0 ± 3°C sample temperature, cross polarization (CP) experiments yield weak signals. Lower temperature spectra (−40 ± 3°C) demonstrated several times greater signal intensity, an effect further amplified in 3D 15N–13C–13C experiments, which are required to perform backbone assignments on this sample. Thus 3D experiments enabled assignments of most amino acids in the rigid part of the fibril (approximately residues 64 to 94), as well as tentative site-specific assignments for T22, V26, A27, Y39, G41, S42, H50, V52, A53, T54, V55, V63, A107, I112, and S129. Most of these signals were not observed in 2D or 3D spectra at 0 ± 3°C. Spectra acquired at low temperatures therefore permitted more complete chemical shift assignments. Observation of the majority of residues in AS fibrils represents an important step towards solving the 3D structure.

J-Spectroscopy in the presence of residual dipolar couplings: determination of one-bond coupling constants and scalable resolution

Abstract: The access to weak alignment media has fuelled the development of methods for efficiently and accurately measuring residual dipolar couplings (RDCs) in NMR-spectroscopy. Among the wealth of approaches for determining one-bond scalar and RDC constants only J-modulated and J-evolved techniques retain maximum resolution in the presence of differential relaxation. In this article, a number of J-evolved experiments are examined with respect to the achievable minimum linewidth in the J-dimension, using the peptide PA4 and the 80-amino-acid-protein Saposin C as model systems. With the JE-N-BIRDd,X-HSQC experiment, the average full-width at half height could be reduced to approximately 5 Hz for the protein, which allows the additional resolution of otherwise unresolved peaks by the active (J+D)-coupling. Since RDCs generally can be scaled by the choice of alignment medium and alignment strength, the technique introduced here provides an effective resort in cases when chemical shift differences alone are insufficient for discriminating signals. In favorable cases even secondary structure elements can be distinguished.

Perspectives of biomolecular NMR in drug discovery: the blessing and curse of versatility

Abstract: The versatility of NMR and its broad applicability to several stages in the drug discovery process is well known and generally considered one of the major strengths of NMR (Pellecchia et al., Nature Rev Drug Discov 1:211–219, 2002; Stockman and Dalvit, Prog Nucl Magn Reson Spectrosc 41:187–231, 2002; Lepre et al., Comb Chem High throughput screen 5:583–590, 2002; Wyss et al., Curr Opin Drug Discov Devel 5:630–647, 2002; Jahnke and Widmer, Cell Mol Life Sci 61:580–599, 2004; Huth et al., Methods Enzymol 394:549–571, 2005b; Klages et al., Mol Biosyst 2:318–332, 2006; Takeuchi and Wagner, Curr Opin Struct Biol 16:109–117, 2006; Zartler and Shapiro, Curr Pharm Des 12:3963–3972, 2006). Indeed, NMR is the only biophysical technique which can detect and quantify molecular interactions, and at the same time provide detailed structural information with atomic level resolution. NMR should therefore be ideally suited and widely requested as a tool for drug discovery research, and numerous examples of drug discovery projects which have substantially benefited from NMR contributions or were even driven by NMR have been described in the literature. However, not all pharmaceutical companies have rigorously implemented NMR as integral tool of their research processes. Some companies invest with limited resources, and others do not use biomolecular NMR at all. This discrepancy in assessing the value of a technology is striking, and calls for clarification—under which circumstances can NMR provide added value to the drug discovery process? What kind of contributions can NMR make, and how is it implemented and integrated for maximum impact? This perspectives article suggests key areas of impact for NMR, and a model of integrating NMR with other technologies to realize synergies and maximize their value for drug discovery.

Cell-free protein synthesis of perdeuterated proteins for NMR studies

Abstract: Cell-free protein synthesis protocols for uniformly deuterated proteins typically yield low, non-uniform deuteration levels. This paper introduces an E. coli cell-extract, D-S30, which enables efficient production of proteins with high deuteration levels for all non-labile hydrogen atom positions. Potential applications of the new protocol may include production of proteins with selective isotope-labeling of selected amino acid residues on a perdeuterated background for studies of enzyme active sites or for ligand screening in drug discovery projects, as well as the synthesis of perdeuterated polypeptides for NMR spectroscopy with large supra-molecular structures. As an illustration, it is demonstrated that the 800-kDa chaperonine GroEL synthesized with the D-S30 cell-free system had a uniform deuteration level of about 95% and assembled into its biologically active oligomeric form.

Predicting 13 C α chemical shifts for validation of protein structures

Abstract: The 13Cα chemical shifts for 16,299 residues from 213 conformations of four proteins (experimentally determined by X-ray crystallography and Nuclear Magnetic Resonance methods) were computed by using a combination of approaches that includes, but is not limited to, the use of density functional theory. Initially, a validation test of this methodology was carried out by a detailed examination of the correlation between computed and observed 13Cα chemical shifts of 10,564 (of the 16,299) residues from 139 conformations of the human protein ubiquitin. The results of this validation test on ubiquitin show agreement with conclusions derived from computation of the chemical shifts at the ab initio Hartree–Fock level. Further, application of this methodology to 5,735 residues from 74 conformations of the three remaining proteins that differ in their number of amino acid residues, sequence and three-dimensional structure, together with a new scoring function, namely the conformationally averaged root-mean-square-deviation, enables us to: (a) offer a criterion for an accurate assessment of the quality of NMR-derived protein conformations; (b) examine whether X-ray or NMR-solved structures are better representations of the observed 13Cα chemical shifts in solution; (c) provide evidence indicating that the proposed methodology is more accurate than automated predictors for validation of protein structures; (d) shed light as to whether the agreement between computed and observed 13Cα chemical shifts is influenced by the identity of an amino acid residue or its location in the sequence; and (e) provide evidence confirming the presence of dynamics for proteins in solution, and hence showing that an ensemble of conformations is a better representation of the structure in solution than any single conformation.

Asymmetric Karplus curves for the protein side-chain 3J couplings.

Abstract: The standard Karplus equation for calculating 3J coupling constants from any given dihedral angle requires three empirical coefficients be determined that relate to the magnitudes of three modes of the angle dependency of 3J. Considering cosine modes only (bimodal, unimodal and baseline component), Karplus curves are generally symmetric with respect to the sign of the angle argument. Typically, their primary and secondary maxima differ in amplitude, whereas the two minima are of equal depth. However, chiral molecular topologies, such as those surrounding the main-chain and side-chain torsions in amino-acid residues, preclude, as regards substituent positioning, exact mirror-image conformations from being formed--for any given torsion-angle value. It is therefore unlikely that 3J couplings assume identical values for the corresponding positive and negative dihedral angles. This suggests that a better empirical fit of the torsion-angle dependency of 3J could be obtained when removing the constraint of symmetrically identical coupling constants. A sine term added to the Karplus equation allows independent modelling of both curve minima typically located near dihedral-angle values of +90 degrees and -90 degrees. Revisiting an extensive 3J coupling dataset previously recorded to determine the side-chain torsions chi1 in the protein flavodoxin, the asymmetric Karplus model accomplishes a more accurate fit to the experimental data. Asymmetries revealed in the angle dependencies exceed the experimental precision in determining 3J. Accounting for these effects helps improve molecular models.

EH domain of EHD1

Abstract: EHD1 is a member of the mammalian C-terminal Eps15 homology domain (EH) containing protein family, and regulates the recycling of various receptors from the endocytic recycling compartment to the plasma membrane. The EH domain of EHD1 binds to proteins containing either an Asn-Pro-Phe or Asp-Pro-Phe motif, and plays an important role in the subcellular localization and function of EHD1. Thus far, the structures of five N-terminal EH domains from other proteins have been solved, but to date, the structure of the EH domains from the four C-terminal EHD family paralogs remains unknown. In this study, we have assigned the 133 C-terminal residues of EHD1, which includes the EH domain, and solved its solution structure. While the overall structure resembles that of the second of the three N-terminal Eps15 EH domains, potentially significant differences in surface charge and the structure of the tripeptide-binding pocket are discussed.

Combined solid state and solution NMR studies of alpha,epsilon-15N labeled bovine rhodopsin.

Abstract: Rhodopsin is the visual pigment of the vertebrate rod photoreceptor cell and is the only member of the G protein coupled receptor family for which a crystal structure is available. Towards the study of dynamics in rhodopsin, we report NMR-spectroscopic investigations of α,ɛ-15N-tryptophan labeled rhodopsin in detergent micelles and reconstituted in phospholipids. Using a combination of solid state 13C,15N-REDOR and HETCOR experiments of all possible 13C′i-1 carbonyl/15Ni-tryptophan isotope labeled amide pairs, and H/D exchange 1H,15N-HSQC experiments conducted in solution, we assigned chemical shifts to all five rhodopsin tryptophan backbone 15N nuclei and partially to their bound protons. 1H,15N chemical shift assignment was achieved for indole side chains of Trp351.30 and Trp1754.65. 15N chemical shifts were found to be similar when comparing those obtained in the native like reconstituted lipid environment and those obtained in detergent micelles for all tryptophans except Trp1754.65 at the membrane interface. The results suggest that the integrated solution and solid state NMR approach presented provides highly complementary information in the study of structure and dynamics of large membrane proteins like rhodopsin.

Observation of μs time-scale protein dynamics in the presence of Ln3+ ions: application to the N-terminal domain of cardiac troponin C

Abstract: The microsecond time-scale motions in the N-terminal domain of cardiac troponin C (NcTnC) loaded with lanthanide ions have been investigated by means of a $${^{1}\hbox{H}^{\rm N}}$$ off-resonance spin-lock experiment. The observed relaxation dispersion effects strongly increase along the series of NcTnC samples containing La3+, Ce3+, and Pr3+ ions. This rise in dispersion effects is due to modulation of long-range pseudocontact shifts by µs time-scale dynamics. Specifically, the motion in the coordination sphere of the lanthanide ion (i.e. in the NcTnC EF-hand motif) causes modulation of the paramagnetic susceptibility tensor which, in turn, causes modulation of pseudocontact shifts. It is also probable that opening/closing dynamics, previously identified in Ca2+–NcTnC, contributes to some of the observed dispersions. On the other hand, it is unlikely that monomer–dimer exchange in the solution of NcTnC is directly responsible for the dispersion effects. Finally, on–off exchange of the lanthanide ion does not seem to play any significant role. The amplification of dispersion effects by Ln3+ ions is a potentially useful tool for studies of µs–ms motions in proteins. This approach makes it possible to observe the dispersions even when the local environment of the reporting spin does not change. This happens, for example, when the motion involves a ‘rigid’ structural unit such as individual α-helix. Even more significantly, the dispersions based on pseudocontact shifts offer better chances for structural characterization of the dynamic species. This method can be generalized for a large class of applications via the use of specially designed lanthanide-binding tags.

Improved magnetization alignment schemes for spin-lock relaxation experiments

Abstract: A pair of pulse schemes that spin-lock magnetization efficiently are presented. The design of the sequences benefited from a particularly simple relation that is derived describing to first order the evolution of any magnetization component due to the application of an off-resonance 90 degrees pulse. The sequences are shown theoretically and experimentally to significantly outperform the 90 degrees -delay-90 degrees element that is often used in current applications. It is shown that alignment of magnetization to within 1 degrees of the effective field can be obtained over a bandwidth extending between [-omega(SL), omega(SL)], where omega(SL) is the strength of the spin-lock field using a simple scheme that is an order of magnitude shorter than an adiabatic pulse that might also be used for a similar purpose.

Vibrational averaging of chemical shift anisotropies in model peptides

Abstract: The effects of chemical shift anisotropy (CSA) are evident in line-shapes or side-band analysis in solid-state NMR, in the observed line positions in partially oriented samples, and in relaxation effects in liquid-state studies. In all of these cases, the effective shielding tensor is influenced by fast vibrational averaging in addition to larger-amplitude internal motions and to overall libration or rotation. Here we compute the contributions of vibrational averaging (including zero-point motions) to the CSA relaxation strengths for the nitrogen and carbonyl carbon in two simple peptide models, and for snapshots taken from a path-integral simulation of a small protein. Because the 15N shielding tensor is determined by all the atoms of the peptide group, it is less influenced by vibrational motion than (for example) the N–H dipolar interaction, which is more sensitive to the motion of the light hydrogen atom. Computed order parameters for CSA averaging are hence much closer to unity than are N–H dipolar order parameters. This leads to a reduction by about 9% in the magnitude of the amide nitrogen CSA that is needed to fit liquid-state relaxation data. Similar considerations apply to the carbonyl carbon shielding tensor, but in this case the differences between dipolar and CSA averaging are smaller. These considerations will be important for making comparisons between CSA tensors extracted from various NMR experiments, and for comparisons to quantum chemical calculations carried out on static conformers.

Theoretical framework for NMR residual dipolar couplings in unfolded proteins.

Abstract: A theoretical framework for the prediction of nuclear magnetic resonance (NMR) residual dipolar couplings (RDCs) in unfolded proteins under weakly aligning conditions is presented. The unfolded polypeptide chain is modeled as a random flight chain while the alignment medium is represented by a set of regularly arranged obstacles. For the case of bicelles oriented perpendicular to the magnetic field, a closed-form analytical result is derived. With the obtained analytical expression the RDCs are readily accessible for any locus along the chain, for chains of differing length, and for varying bicelle concentrations. The two general features predicted by the model are (i) RDCs in the center segments of a polypeptide chain are larger than RDCs in the end segments, resulting in a bell-shaped sequential distribution of RDCs, and (ii) couplings are larger for shorter chains than for longer chains at a given bicelle concentration. Experimental data available from the literature confirm the first prediction of the model, providing a tool for recognizing fully unfolded polypeptide chains. With less certainty experimental data appear to support the second prediction as well. However, more systematic experimental studies are needed in order to validate or disprove the predictions of the model. The presented framework is an important step towards a solid theoretical foundation for the analysis of experimentally measured RDCs in unfolded proteins in the case of alignment media such as polyacrylamide gels and neutral bicelle systems which align biomacromolecules by a steric mechanism. Various improvements and generalizations are possible within the suggested approach.

Covariance NMR in higher dimensions: application to 4D NOESY spectroscopy of proteins.

Abstract: Elucidation of high-resolution protein structures by NMR spectroscopy requires a large number of distance constraints that are derived from nuclear Overhauser effects between protons (NOEs). Due to the high level of spectral overlap encountered in 2D NMR spectra of proteins, the measurement of high quality distance constraints requires higher dimensional NMR experiments. Although four-dimensional Fourier transform (FT) NMR experiments can provide the necessary kind of spectral information, the associated measurement times are often prohibitively long. Covariance NMR spectroscopy yields 2D spectra that exhibit along the indirect frequency dimension the same high resolution as along the direct dimension using minimal measurement time. The generalization of covariance NMR to 4D NMR spectroscopy presented here exploits the inherent symmetry of certain 4D NMR experiments and utilizes the trace metric between donor planes for the construction of a high-resolution spectral covariance matrix. The approach is demonstrated for a 4D 13C-edited NOESY experiment of ubiquitin. The 4D covariance spectrum narrows the line-widths of peaks strongly broadened in the FT spectrum due to the necessarily short number of increments collected, and it resolves otherwise overlapped cross peaks allowing for an increase in the number of NOE assignments to be made from a given dataset. At the same time there is no significant decrease in the positive predictive value of observing a peak as compared to the corresponding 4D Fourier transform spectrum. These properties make the 4D covariance method a potentially valuable tool for the structure determination of larger proteins and for high-throughput applications in structural biology.

Effects of side-chain orientation on the 13 C chemical shifts of antiparallel β-sheet model peptides

Abstract: The dependence of the 13C chemical shift on side-chain orientation was investigated at the density functional level for a two-strand antiparallel β-sheet model peptide represented by the amino acid sequence Ac-(Ala)3-X-(Ala)12-NH2 where X represents any of the 17 naturally occurring amino acids, i.e., not including alanine, glycine and proline. The dihedral angles adopted for the backbone were taken from, and fixed at, observed experimental values of an antiparallel β-sheet. We carried out a cluster analysis of the ensembles of conformations generated by considering the side-chain dihedral angles for each residue X as variables, and use them to compute the 13C chemical shifts at the density functional theory level. It is shown that the adoption of the locally-dense basis set approach for the quantum chemical calculations enabled us to reduce the length of the chemical-shift calculations while maintaining good accuracy of the results. For the 17 naturally occurring amino acids in an antiparallel β-sheet, there is (i) good agreement between computed and observed 13Cα and 13Cβ chemical shifts, with correlation coefficients of 0.95 and 0.99, respectively; (ii) significant variability of the computed 13Cα and 13Cβ chemical shifts as a function of χ1 for all amino acid residues except Ser; and (iii) a smaller, although significant, dependence of the computed 13Cα chemical shifts on χξ (with ξ ≥ 2) compared to χ1 for eleven out of seventeen residues. Our results suggest that predicted 13Cα and 13Cβ chemical shifts, based only on backbone (φ,ψ) dihedral angles from high-resolution X-ray structure data or from NMR-derived models, may differ significantly from those observed in solution if the dihedral-angle preferences for the side chains are not taken into account.

13C-detected NMR experiments for measuring chemical shifts and coupling constants in nucleic acid bases.

Abstract: The paper presents a set of two-dimensional experiments that utilize direct (13)C detection to provide proton-carbon, carbon-carbon and carbon-nitrogen correlations in the bases of nucleic acids. The set includes a (13)C-detected proton-carbon correlation experiment for the measurement of (13)C-(13)C couplings, the CaCb experiment for correlating two quaternary carbons, the HCaCb experiment for the (13)C-(13)C correlations in cases where one of the carbons has a proton attached, the HCC-TOCSY experiment for correlating a proton with a network of coupled carbons, and a (13)C-detected (13)C-(15)N correlation experiment for detecting the nitrogen nuclei that cannot be detected via protons. The IPAP procedure is used for extracting the carbon-carbon couplings and/or carbon decoupling in the direct dimension, while the S(3)E procedure is preferred in the indirect dimension of the carbon-nitrogen experiment to obtain the value of the coupling constant. The experiments supply accurate values of (13)C and (15)N chemical shifts and carbon-carbon and carbon-nitrogen coupling constants. These values can help to reveal structural features of nucleic acids either directly or via induced changes when the sample is dissolved in oriented media.

Improved pulse sequences for sequence specific assignment of aromatic proton resonances in proteins

Abstract: Aromatic proton resonances of proteins are notoriously difficult to assign. Through-bond correlation experiments are preferable over experiments that rely on through-space interactions because they permit aromatic chemical shift assignments to be established independently of the structure determination process. Known experimental schemes involving a magnetization transfer across the Cβ–Cγ bond in aromatic side chains either suffer from low efficiency for the relay beyond the Cδ position, use sophisticated 13C mixing schemes, require probe heads suitable for application of high 13C radio-frequency fields or rely on specialized isotopic labelling patterns. Novel methods are proposed that result in sequential assignment of all aromatic protons in uniformly 13C/15N labelled proteins using standard spectrometer hardware. Pulse sequences consist of routinely used building blocks and are therefore reasonably simple to implement. Ring protons may be correlated with β-carbons and, alternatively, with amide protons (and nitrogens) or carbonyls in order to take advantage of the superior dispersion of backbone resonances. It is possible to record spectra in a non-selective manner, yielding signals of all aromatic residues, or as amino-acid type selective versions to further reduce ambiguities. The new experiments are demonstrated with four different proteins with molecular weights ranging from 11 kDa to 23 kDa. Their performance is compared with that of (Hβ)Cβ(CγCδ)Hδ and (Hβ)Cβ(CγCδCɛ)Hɛ pulse sequences [Yamazaki et al. (1993) J Am Chem Soc 115:11054–11055].

Rapid measurement of $^3J(H^N-H^\alpha)$ and $^3J(N-H^\beta)$ coupling constants in polypeptides

Abstract: We present two NMR experiments, (3,2)D HNHA and (3,2)D HNHB, for rapid and accurate measurement of 3J(HN–Hα) and 3J(N–Hβ) coupling constants in polypeptides based on the principle of G-matrix Fourier transform NMR spectroscopy and quantitative J-correlation. These experiments, which facilitate fast acquisition of three-dimensional data with high spectral/digital resolution and chemical shift dispersion, will provide renewed opportunities to utilize them for sequence specific resonance assignments, estimation/characterization of secondary structure with/without prior knowledge of resonance assignments, stereospecific assignment of prochiral groups and 3D structure determination, refinement and validation. Taken together, these experiments have a wide range of applications from structural genomics projects to studying structure and folding in polypeptides.