Assessing the effects of time and spatial averaging in 15N chemical shift/15N-1H dipolar correlation solid state NMR experiments

The effect of time and spatial averaging on ¹⁵N chemical shift/¹H-¹⁵N dipolar correlation spectra, i.e., PISEMA spectra, of -helical membrane peptides and proteins is investigated. Three types of motion are considered: (a) Librational motion of the peptide planes in the -helix; (b) rotation of the helix about its long axis; and (c) wobble of the helix about a nominal tilt angle. A 2ns molecular dynamics simulation of helix D of bacteriorhodopsin is used to determine the effect of librational motion on the spectral parameters. For the time averaging, the rotation and wobble of this same helix are modelled by assuming either Gaussian motion about the respective angles or a uniform distribution of a given width. For the spatial averaging, regions of possible ¹⁵N chemical shift/¹H-¹⁵N dipolar splittings are computed for a distribution of rotations and/or tilt angles of the helix. The computed spectra show that under certain motional modes the ¹⁵N chemical shift/¹H-¹⁵N dipolar pairs for each of the residues do not form patterns which mimic helical wheel patterns. As a result, the unambiguous identification of helix tilt and helix rotation without any resonance assignments or on the basis of a single assignment may be difficult.     

1H, 13C and 15N chemical shift referencing in biomolecular NMR

Summary A considerable degree of variability exists in the way that ¹H, ¹³C and ¹⁵N chemical shifts are reported and referenced for biomolecules. In this article we explore some of the reasons for this situation and propose guidelines for future chemical shift referencing and for conversion from many common ¹H, ¹³C and ¹⁵N chemical shift standards, now used in biomolecular NMR, to those proposed here.Abbreviations TMS tetramethylsilane - TSP 3-(trimethylsilyl)-propionate, sodium salt - DSS 2,2-dimethyl-2-silapentane-5-sulfonate, sodium salt - TFE 2,2,2-trifluoroethanol - DMSO dimethyl sulfoxide     

Conformational dynamics of recoverin's Ca2+-myristoyl switch probed by 15N NMR relaxation dispersion and chemical shift analysis

Recoverin, a member of the neuronal calcium sensor (NCS) branch of the calmodulin superfamily, serves as a calcium sensor in retinal rod cells. Ca²⁺‐induced conformational changes in recoverin promote extrusion of its covalently attached myristate, known as the Ca²⁺‐myristoyl switch. Here, we present nuclear magnetic resonance (NMR) relaxation dispersion and chemical shift analysis on ¹⁵N‐labeled recoverin to probe main chain conformational dynamics. ¹⁵N NMR relaxation data suggest that Ca²⁺‐free recoverin undergoes millisecond conformational dynamics at particular amide sites throughout the protein. The addition of trace Ca²⁺ levels (0.05 equivalents) increases the number of residues that show detectable relaxation dispersion. The Ca²⁺‐dependent chemical shifts and relaxation dispersion suggest that recoverin has an intermediate conformational state (I) between the sequestered apo state (T) and Ca²⁺ saturated extruded state (R): T ? I ? R. The first step is a fast conformational equilibrium ([T]/[I] < 100) on the millisecond time scale (τ_exδω < 1). The final step (I ? R) is much slower (τ_exδω > 1). The main chain structure of I is similar in part to the structure of half‐saturated E85Q recoverin with a sequestered myristoyl group. We propose that millisecond dynamics during T ? I may transiently increase the exposure of Ca²⁺‐binding sites to initiate Ca²⁺ binding that drives extrusion of the myristoyl group during I ? R. Proteins 2011; © 2011 Wiley‐Liss, Inc.     

Cross correlations between 13C-1H dipolar interactions and 15N chemical shift anisotropy in nucleic acids

Two sets of cross-correlated relaxation rates involving chemical shift anisotropy and dipolar interactions have been measured in an RNA kissing complex. In one case, both the CSA and dipolar interaction tensors are located on the same nucleotide base and are rigidly fixed with respect to each other. In the other case, the CSA tensor is located on the nucleotide base whereas the dipolar interaction is located on the adjoining ribose unit. Analysis of the measured rates in terms of isotropic or anisotropic rotational diffusion has been carried out for both cases. A marked difference between the two models is observed for the cross-correlation rates involving rigidly fixed spin interactions. The influence of internal motions about the glycosidic linkage between the nucleotide base and the ribose unit on cross-correlated relaxation rates has been estimated by applying a model of restricted rotational diffusion. Local motions seem to have a more pronounced effect on cross-correlated relaxation rates when the two spin interactions are not rigidly fixed with respect to each other.     

Protein dynamics from NMR

This review surveys recent investigations of conformational fluctuations of proteins in solution using NMR techniques. Advances in experimental methods have provided more accurate means of characterizing fast and slow internal motions as well as overall diffusion. The information obtained from NMR dynamics experiments provides insights into specific structural changes or configurational energetics associated with function. A variety of applications illustrate that studies of protein dynamics provide insights into protein-protein interactions, target recognition, ligand binding, and enzyme function.     

Protein secondary structure prediction using NMR chemical shift data

Accurate determination of protein secondary structure from the chemical shift information is a key step for NMR tertiary structure determination. Relatively few work has been done on this subject. There needs to be a systematic investigation of algorithms that are (a) robust for large datasets; (b) easily extendable to (the dynamic) new databases; and (c) approaching to the limit of accuracy. We introduce new approaches using k-nearest neighbor algorithm to do the basic prediction and use the BCJR algorithm to smooth the predictions and combine different predictions from chemical shifts and based on sequence information only. Our new system, SUCCES, improves the accuracy of all existing methods on a large dataset of 805 proteins (at 86% Q(3) accuracy and at 92.6% accuracy when the boundary residues are ignored), and it is easily extendable to any new dataset without requiring any new training. The software is publicly available at http://monod.uwaterloo.ca/nmr/succes.     

The effect of noncollinearity of 15N-1H dipolar and 15N CSA tensors and rotational anisotropy on 15N relaxation, CSA/dipolar cross correlation, and TROSY

Current approaches to 15N relaxation in proteins assume that the 15N-1H dipolar and 15N CSA tensors are collinear. We show theoretically that, when there is significant anisotropy of molecular rotation, different orientations of the two tensors, experimentally observed in proteins, nucleic acids, and small peptides, will result in differences in site- specific correlation functions and spectral densities. The standard treatments of the rates of longitudinal and transverse relaxation of amide 15N nuclei, of the 15N CSA/15N-1H dipolar cross correlation, and of the TROSY experiment are extended to account for the effect of noncollinearity of the 15N-1H dipolar and 15N CSA (chemical shift anisotropy) tensors. This effect, proportional to the degree of anisotropy of the overall motion, (D/D–1), is sensitive to the relative orientation of the two tensors and to the orientation of the peptide plane with respect to the diffusion coordinate frame. The effect is negligible at small degrees of anisotropy, but is predicted to become significant for D/D1.5, and at high magnetic fields. The effect of noncollinearity of 15N CSA and 15N-1H dipolar interaction is sensitive to both gross (hydrodynamic) properties and atomic-level details of protein structure. Incorporation of this effect into relaxation data analysis is likely to improve both precision and accuracy of the derived characteristics of protein dynamics, especially at high magnetic fields and for molecules with a high degree of anisotropy of the overall motion. The effect will also make TROSY efficiency dependent on local orientation in moderately anisotropic systems.     

Protein dynamics from solution NMR

Solution nuclear magnetic resonance (NMR) spectroscopy is unique in its ability to elucidate the details of atomic-level structural and dynamical properties of biological macromolecules under native-like conditions. Recent advances in NMR techniques and protein sample preparation now allow comprehensive investigation of protein dynamics over timescales ranging 14 orders of magnitude at nearly every atomic site. Thus, solution NMR is poised to reveal aspects of the physico-chemical properties that govern the ensemble distribution of protein conformers and the dynamics of their interconversion. We review these advances as well as their recent application to the study of proteins.     

Determination of solid-state NMR structures of proteins by means of three-dimensional 15N-13C-13C dipolar correlation spectroscopy and chemical shift analysis

In this paper, a three-dimensional (3D) NMR-based approach for the determination of the fold of moderately sized proteins by solid-state magic-angle spinning (MAS) NMR is presented and applied to the alpha-spectrin SH3 domain. This methodology includes the measurement of multiple (13)C-(13)C distance restraints on biosynthetically site-directed (13)C-enriched samples, obtained by growing bacteria on [2-(13)C]glycerol and [1,3-(13)C]glycerol. 3D (15)N-(13)C-(13)C dipolar correlation experiments were applied to resolve overlap of signals, in particular in the region where backbone carbon-carbon correlations of the C(alpha)-C(alpha), CO-CO, C(alpha)-CO, and CO-C(alpha) type appear. Additional restraints for confining the structure were obtained from phi and psi backbone torsion angles of 29 residues derived from C(alpha), C(beta), CO, NH, and H(alpha) chemical shifts. Using both distance and angular restraints, a refined structure was calculated with a backbone root-mean-square deviation of 0.7 A with respect to the average structure.     

Tilt and rotational pitch angle of membrane-inserted polypeptides from combined 15N and 2H solid-state NMR spectroscopy

Knowledge of the alignment of alpha-helical polypeptides with respect to the membrane surface and their dynamics in the membrane are key to understanding the functional mechanisms of channels, antibiotics, and signal or translocation peptides. In this paper polypeptides have been labeled with [3,3,3-(2)H(3)]alanine as well as with (15)N at single site amide positions and reconstituted into oriented phospholipid bilayers. A transmembrane and two amphipathic helical polypeptides with the deuterium label at orthogonal positions have been investigated by deuterium and proton-decoupled (15)N solid-state NMR spectroscopy. The (15)N chemical shift measurements and the deuterium quadrupole splitting exhibit a highly complementary functional dependence with respect to the spatial alignment of the polypeptide. Therefore, the combination of these two measurements allows one to determine both the tilt and the rotational pitch angle with high precision. In addition, the deuterium line shape is very sensitive to mosaic spread and the relative orientation of the peptide. The solid-state NMR measurements indicate that the model sequences exhibit a small degree of mosaicity, when at the same time the phospholipid headgroup region is significantly distorted. Furthermore, the (2)H solid-state NMR spectra reveal small orientational and dynamic differences when the fatty acyl chain composition of the phosphatidylcholine bilayers is modified.     

1H, 15N, and 13C NMR chemical shift assignments for the Ig3 domain of palladin

As part of our NMR structure determination of the palladin Ig3 domain, we report nearly complete NMR chemical shift assignments for the ¹H, ¹³C, and ¹⁵N nuclei.     

Overall structure and sugar dynamics of a DNA dodecamer from homo- and heteronuclear dipolar couplings and 31P chemical shift anisotropy

The solution structure of d(CGCGAATTCGCG)₂ has been determined on the basis of an exceptionally large set of residual dipolar couplings. In addition to the heteronuclear ¹³C-¹H and ¹⁵N-¹H and qualitative homonuclear ¹H-¹H dipolar couplings, previously measured in bicelle medium, more than 300 quantitative ¹H-¹H and 22 ³¹P-¹H dipolar restraints were obtained in liquid crystalline Pf1 medium, and 22 ³¹P chemical shift anisotropy restraints. High quality DNA structures can be obtained solely on the basis of these new restraints, and these structures are in close agreement with those calculated previously on the basis of ¹³C-¹H and ¹⁵N-¹H dipolar couplings. In the newly calculated structures, ³¹P-¹H dipolar and ³Jsub H3 P sub couplings and ³¹P CSA data restrain the phosphodiester backbone torsion angles. The final structure represents a quite regular B-form helix with a modest bending of 10°, which is essentially independent of whether or not electrostatic terms are used in the calculation. Combined, the number of homo- and heteronuclear dipolar couplings significantly exceeds the number of degrees of freedom in the system. Results indicate that the dipolar coupling data cannot be fit by a single structure, but are compatible with the presence of rapid equilibria between C2-endo and C3-endo deoxyribose puckers (sugar switching). The C2-H2/H2 dipolar couplings in B-form DNA are particularly sensitive to sugar pucker and yield the largest discrepancies when fit to a single structure. To resolve these discrepancies, we suggest a simplified dipolar coupling analysis that yields N/S equilibria for the ribose sugar puckers, which are in good agreement with previous analyses of NMR J_HH couplings, with a population of the minor C3-endo form higher for pyrimidines than for purines.     

Anisotropic rotational diffusion of perdeuterated HIV protease from 15N NMR relaxation measurements at two magnetic fields

Summary ¹⁵N NMR relaxation times in perdeuterated HIV-1 protease, complexed with the sub-nanomolar inhibitor DMP323, have been measured at 600 and 360 MHz ¹H frequency. The relative magnitudes of the principal components of the inertia tensor, calculated from the X-ray coordinates of the protein-drug complex, are 1.0:0.85:0.44. The relation between the T₁/T₂ ratios observed for the individual backbone amides and their N-H orientation within the 3D structure of the protease dimer yields a rotational diffusion tensor oriented nearly collinear to the inertia tensor. The relative magnitudes of its principal components (1.00:1.11:1.42) are also in good agreement with hydrodynamic modeling results. The orientation and magnitude of the diffusion tensors derived from relaxation data obtained at 360 and 600 MHz are nearly identical. The anisotropic nature of the rotational diffusion has little influence on the order parameters derived from the ¹⁵N T₁ and T₂ relaxation times; however, if anisotropy is ignored, this can result in erroneous identification of either exchange broadening or internal motions on a nanosecond time scale. The average ratio of the T₁ values measured at 360 and 600 MHz is 0.50±0.015, which is slightly larger than the value of 0.466 expected for an isotropic rigid rotor with _c = 10.7 ns. The average ratio of the T₂ values measured at 360 and 600 MHz is 1.14±0.04, which is also slightly larger than the expected ratio of 1.11. This magnetic field dependence of the T₁ and T₂ relaxation times suggests that the spectral density contribution from fast internal motions is not negligible, and that the chemical shift anisotropy of peptide backbone amides, on average, is larger than the 160 ppm value commonly used in ¹⁵N relaxation studies of proteins.     

Correlation between 15N NMR chemical shifts in proteins and secondary structure

Summary An empirical correlation between the peptide ¹⁵N chemical shift, ¹⁵N_i, and the backbone torsion angles _i, _i–1 is reported. By using two-dimensional shielding surfaces (_i1–1), it is possible in many cases to make reasonably accurate predictions of ¹⁵N chemical shifts for a given structure. On average, the rms error between experiment and prediction is about 3.5 ppm. Results for threonine, valine and isoleucine are worse (4.8 ppm), due presumably to ₁-distribution/-gauche effects. The rms errors for the other amino acids are 3 ppm, for a typical maximal chemical shift range of 15–20 ppm. Thus, there is a significant correlation between ¹⁵N chemical shift and secondary structure.     

NMR studies of RNA dynamics and structural plasticity using NMR residual dipolar couplings

An increasing number of RNAs are being discovered that perform their functions by undergoing large changes in conformation in response to a variety of cellular signals, including recognition of proteins and small molecular targets, changes in temperature, and RNA synthesis itself. The measurement of NMR residual dipolar couplings (RDCs) in partially aligned systems is providing new insights into the structural plasticity of RNA through combined characterization of large-amplitude collective helix motions and local flexibility in noncanonical regions over a wide window of biologically relevant timescales (相似文献   

Protein dynamics from solution NMR: theory and applications

Solution nuclear magnetic resonance (NMR) spectroscopy is unique in its ability to elucidate the details of atomic-level structural and dynamical properties of biological macromolecules under native-like conditions. Recent advances in NMR techniques and protein sample preparation now allow comprehensive investigation of protein dynamics over timescales ranging 14 orders of magnitude at nearly every atomic site. Thus, solution NMR is poised to reveal aspects of the physico-chemical properties that govern the ensemble distribution of protein conformers and the dynamics of their interconversion. We review these advances as well as their recent application to the study of proteins.     

Protein dynamics studied by rotating frame 15N spin relaxation times

Summary Conformational rate processes in aqueous solutions of uniformly ¹⁵N-labeled pancreatic trypsin inhibitor (BPTI) at 36°C were investigated by measuring the rotating frame relaxation times of the backbone ¹⁵N spins as a function of the spin-lock power. Two different intramolecular exchange processes were identified. A first local rate process involved the residues Cys³⁸ and Arg³⁹, had a correlation time of about 1.3 ms, and was related to isomerization of the chirality of the disulfide bond Cys¹⁴-Cys³⁸. A second, faster motional mode was superimposed on the disulfide bond isomerization and was tentatively attributed to local segmental motions in the polypeptide sequence-Cys¹⁴-Ala¹⁵-Lys¹⁶-. The correlation time for the overall rotational tumbling of the protein was found to be 2 ns, using the assumption that relaxation is dominated by dipolar coupling and chemical shift anistropy modulated by isotropic molecular reorientation.Abbreviations BPTI basic pancreatic trypsin inhibitor - 2D two-dimensional - COSY 2D correlation spectroscopy - TOCSY 2D total correlation spectroscopy - RF radio frequency - CW continuous wave - TPPI time-proportional phase incrementation - CSA chemical shift anisotropy - T₁ longitudinal relaxation time - T₂ transverse relaxation time - T₁ relaxation time in the rotating frame , correlation time for overall rotational reorientation of the protein - _ex ^s , _ex ^f , correlation times for two conformational exchange processes (slow and fast).     

1H, 13C, and 15N chemical shift assignments of ZCCHC9

ZCCHC9 is a human nuclear protein with sequence homology to yeast Air1p/Air2p proteins which are RNA-binding subunits of the Trf4/Air2/Mtr4 polyadenylation (TRAMP) complex involved in nuclear RNA quality control and degradation in yeast. The ZCCHC9 protein contains four retroviral-type zinc knuckle motifs. Here, we report the NMR spectral assignment of the zinc knuckle region of ZCCHC9. These data will allow performing NMR structural and RNA-binding studies of ZCCHC9 with the aim to investigate its role in the RNA quality control in human.     

Protein dynamics studied by NMR

The results of NMR studies using several nuclei indicate that proteins have considerable internal mobility. The most obvious is the mobility of side-chains. This mobility is general on the exterior surfaces but extends internally in a differential way. The functional value of surface mobility concerns both on and off rates of ligand binding (e.g. metal ions and parts of substrates) and protein/protein interactions. The mobility, which indicates that recognition is more in the hand-in-glove class than in the lock-in-key class, makes for a modified view of the specificity of protein interactions. Thus, fast on/off systems cannot be as selective as slower systems. Segmental mobility of proteins is considered in the context of protein secondary structure. The least mobile segments are the -sheet and the tight -turn. Mobility is always possible for, but not within, rod-like helices and in loose turns. Many examples are given and the importance of mobility in molecular machines is described. Finally, examples are given of virtually random-coil proteins, segments, and linker regions between domains and the functional value of such extremely dynamic regions of proteins is discussed.This work is based on a lecture at the EBSA Symposium, organised by the Italian Biophysical Society (S.I.B.P.A.), Tabiano Terme, September 1992