Probing side-chain dynamics in the proteasome by relaxation violated coherence transfer NMR spectroscopy

A pair of experiments is presented for measuring intra-methyl 1H-1H dipolar cross-correlated spin relaxation rates in highly deuterated, methyl protonated proteins with significantly improved sensitivity relative to previously developed experiments that measure dynamics via 1H spin relaxation. In applications to proteins with correlation times in the macromolecular limit, these cross-correlation rates are related directly to order parameters, characterizing the amplitude of motion of methyl-containing side-chains. The experimental approach is validated by comparing extracted order parameters with those obtained via 2H and 13C spin relaxation methods for both protein L (7.5 kDa) and malate synthase G (82 kDa), with excellent correlations obtained. The methodology is applied to study Ile, Leu, and Val side-chain dynamics in a 360 kDa "half-proteasome" complex. In particular, order parameters obtained from the WT complex and from a second complex where the proteasome gating residues are deleted establish that the relative levels of dynamics in each of the two molecules are very similar. It thus becomes clear that there is no communication between gating residues and other regions of the molecule involving pico- to nanosecond time-scale dynamics of these methyl-containing side-chains.     

Quantifying millisecond exchange dynamics in proteins by CPMG relaxation dispersion NMR using side-chain 1H probes

A Carr-Purcell-Meiboom-Gill relaxation dispersion experiment is presented for quantifying millisecond time-scale chemical exchange at side-chain (1)H positions in proteins. Such experiments are not possible in a fully protonated molecule because of magnetization evolution from homonuclear scalar couplings that interferes with the extraction of accurate transverse relaxation rates. It is shown, however, that by using a labeling strategy whereby proteins are produced using {(13)C,(1)H}-glucose and D(2)O a significant number of 'isolated' side-chain (1)H spins are generated, eliminating such effects. It thus becomes possible to record (1)H dispersion profiles at the β positions of Asx, Cys, Ser, His, Phe, Tyr, and Trp as well as the γ positions of Glx, in addition to the methyl side-chain moieties. This brings the total of amino acid side-chain positions that can be simultaneously probed using a single (1)H dispersion experiment to 16. The utility of the approach is demonstrated with an application to the four-helix bundle colicin E7 immunity protein, Im7, which folds via a partially structured low populated intermediate that interconverts with the folded, ground state on the millisecond time-scale. The extracted (1)H chemical shift differences at side-chain positions provide valuable restraints in structural studies of invisible, excited states, complementing backbone chemical shifts that are available from existing relaxation dispersion experiments.     

A 2H NMR relaxation experiment for the measurement of the time scale of methyl side-chain dynamics in large proteins

An NMR experiment is presented for the measurement of the time scale of methyl side-chain dynamics in proteins that are labeled with methyl groups of the (13)CHD(2) variety. The measurement is accomplished by selecting a magnetization mode that to excellent approximation relaxes in a single-exponential manner with a T(1)-like rate. The combination of R(1)((13)CHD(2)) and R(2)((13)CHD(2)) (2)H relaxation rates facilitates the extraction of motional parameters from (13)CHD(2)-labeled proteins exclusively. The utility of the methodology is demonstrated with applications to proteins with tumbling times ranging from 2 ns (protein L, 7.5 kDa, 45 degrees C) to 54 ns (malate synthase G, 82 kDa, 37 degrees C); dynamics parameters are shown to be in excellent agreement with those obtained in (2)H NMR studies of other methyl isotopomers. A consistency relationship is found to exist between R(1)((13)CHD(2)) and the relaxation rates of pure longitudinal and quadrupolar order modes in (13)CH(2)D-labeled methyl groups, and experimental rates measured for a number of proteins are shown to be in excellent agreement with expectations based on theory. The present methodology extends the applicability of (2)H relaxation methods for the quantification of side-chain dynamics in high molecular weight proteins.     

Deuterium spin probes of side-chain dynamics in proteins. 1. Measurement of five relaxation rates per deuteron in (13)C-labeled and fractionally (2)H-enriched proteins in solution

New pulse sequences are presented for the measurement of the relaxation of deuterium double quantum, quadrupolar order, and transverse antiphase magnetization in (13)CH(2)D methyl groups of (15)N-, (13)C-labeled, fractionally deuterated proteins. Together with previously developed experiments for measuring deuterium longitudinal and transverse decay rates [Muhandiram, D. R.; Yamazaki, T.; Sykes, B. D.; Kay, L. E. J. Am. Chem. Soc. 1995, 117, 11536], these schemes allow measurement of the five unique decay constants of a single deuteron, providing an unprecedented opportunity to investigate side-chain dynamics in proteins. All five deuterium relaxation rates have been measured for deuterons in the methyl groups of the B1 immunoglobulin binding domain of peptostreptococcal protein L and the N-terminal SH3 domain from the protein drk. Since values of the spectral density function at only three different frequencies contribute to the five relaxation rates, the self-consistency of the relaxation data is readily established. Very good agreement is obtained between calculated parameters describing the amplitudes and time scales of motion when different subsets of the relaxation data are employed.     

Methyl side-chain dynamics in proteins using selective enrichment with a single isotopomer

13C relaxation studies on side-chain methyl groups in proteins typically involve measurements on (13)CHD(2) isotopomers, where the (13)C relaxation mechanism is particularly straightforward in the presence of a single proton. While such isotopomers can be obtained in proteins overexpressed in bacteria by use of (13)C enriched and fractionally deuterated media, invariably all possible (2)H isotopomers are obtained. This results in a loss of both resolution and sensitivity, which becomes particularly severe for larger proteins. We describe an approach that overcomes this problem by chemical synthesis of amino acids containing a pure (13)CHD(2) isotopomer. We illustrate the benefits of this approach in (13)C side-chain relaxation measurements on the mouse major urinary protein selectively enriched with [gamma(1),gamma(2)-(13)C(2),alpha,beta,gamma(1),gamma(1),gamma(2),gamma(2)-(2)H(6)] valine. Relaxation measurements in the absence and presence of pyrazine-derived ligands suggest that valine side-chain dynamics do not contribute significantly to binding entropy.     

Relaxation rates of degenerate 1H transitions in methyl groups of proteins as reporters of side-chain dynamics

Experiments for quantifying the amplitudes of motion of methyl-containing side chains are presented that exploit the rich network of cross-correlated spin relaxation interactions between intra-methyl dipoles in highly deuterated, selectively 13CH2D- or 13CH3-labeled proteins. In particular, the experiments measure spin relaxation rates of degenerate 1H transitions in methyl groups that, for high-molecular-weight proteins, are very simply related to methyl three-fold symmetry axis order parameters. The methodology presented is applied to studies of dynamics in a pair of systems, including the 7.5-kDa protein L and the 82-kDa enzyme malate synthase G. Good agreement between 1H- and 2H-derived measures of side-chain order are obtained on highly deuterated proteins with correlation times exceeding approximately 10 ns (correlation coefficients greater than 0.95). Although 2H- and 13C-derived measures of side-chain dynamics are still preferred, the present work underscores the potential of using 1H relaxation for semiquantitative estimates of methyl side-chain flexibility, while the high level of consistency between the different spin probes of motion establishes the reliability of the dynamics parameters.     

A new spin probe of protein dynamics: nitrogen relaxation in 15N-2H amide groups

(15)N spin relaxation data have provided a wealth of information on protein dynamics in solution. Standard R(1), R(1)(rho), and NOE experiments aimed at (15)N[(1)H] amide moieties are complemented in this work by HA(CACO)N-type experiments allowing the measurement of nitrogen R(1) and R(1)(rho) rates at deuterated (15)N[(2)D] sites. Difference rates obtained using this approach, R(1)((15)N[(1)H]) - R(1)((15)N[(2)D]) and R(2)((15)N[(1)H]) - R(2)((15)N[(2)D]), depend exclusively on dipolar interactions and are insensitive to (15)N CSA and R(ex) relaxation mechanisms. The methodology has been tested on a sample of peptostreptococcal protein L (63 residues) prepared in 50% H(2)O-50% D(2)O solvent. The results from the new and conventional experiments are found to be consistent, with respect to both local backbone dynamics and overall protein tumbling. Combining several data sets permits evaluation of the spectral density J(omega(D) + omega(N)) for each amide site. This spectral density samples a uniquely low frequency (26 MHz at a 500 MHz field) and, therefore, is expected to be highly useful for characterizing nanosecond time scale local motions. The spectral density mapping demonstrates that, in the case of protein L, J(omega(D) + omega(N)) values are compatible with the Lipari-Szabo interpretation of backbone dynamics based on the conventional (15)N relaxation data.     

Probing residual interactions in unfolded protein states using NMR spin relaxation techniques: an application to delta131delta

Residual interactions in delta131delta, a large disordered fragment of staphylococcal nuclease, have been probed at two different pHs using backbone (15)N and side-chain methyl (2)H NMR spin relaxation techniques. The amplitudes of picosecond time-scale motions of both the backbone and side chains do not change considerably at either pH value, although they are significantly larger than those observed for folded proteins. In contrast, dramatic increases in the amplitudes of motions occurring on a nanosecond time scale are observed throughout delta131delta at pH 3 relative to pH 5. This is consistent with a picture in which residual hydrophobic contacts at pH 5 are disrupted by electrostatic repulsions that dominate at the lower pH.     

Variability of the 15N chemical shielding tensors in the B3 domain of protein G from 15N relaxation measurements at several fields. Implications for backbone order parameters

We applied a combination of 15N relaxation and CSA/dipolar cross-correlation measurements at five magnetic fields (9.4, 11.7, 14.1, 16.4, and 18.8 T) to determine the 15N chemical shielding tensors for backbone amides in protein G in solution. The data were analyzed using various model-independent approaches and those based on Lipari-Szabo approximation, all of them yielding similar results. The results indicate a range of site-specific values of the anisotropy (CSA) and orientation of the 15N chemical shielding tensor, similar to those in ubiquitin (Fushman, et al. J. Am. Chem. Soc. 1998, 120, 10947; J. Am. Chem. Soc. 1999, 121, 8577). Assuming a Gaussian distribution of the 15N CSA values, the mean anisotropy is -173.9 to -177.2 ppm (for 1.02 A NH bond length) and the site-to-site CSA variability is +/-17.6 to +/-21.4 ppm, depending on the method used. This CSA variability is significantly larger than derived previously for ribonuclease H (Kroenke, et al. J. Am. Chem. Soc. 1999, 121, 10119) or recently, using "meta-analysis" for ubiquitin (Damberg, et al. J. Am. Chem. Soc. 2005, 127, 1995). Standard interpretation of 15N relaxation studies of backbone dynamics in proteins involves an a priori assumption of a uniform 15N CSA. We show that this assumption leads to a significant discrepancy between the order parameters obtained at different fields. Using the site-specific CSAs obtained from our study removes this discrepancy and allows simultaneous fit of relaxation data at all five fields to Lipari-Szabo spectral densities. These findings emphasize the necessity of taking into account the variability of 15N CSA for accurate analysis of protein dynamics from 15N relaxation measurements.     

Alanine methyl groups as NMR probes of molecular structure and dynamics in high-molecular-weight proteins

The importance and utility of Ala(β) methyl groups as NMR probes of molecular structure and dynamics in high-molecular-weight proteins is explored. Using (2)H and (13)C relaxation measurements in {U-(2)H; Ala(β)-[(13)CHD(2)]}-labeled Malate Synthase G (MSG)--an 82-kDa monomeric enzyme that contains 73 Ala(β) methyl groups--we show that the vast majority of selectively labeled Ala(β) methyls are highly ordered. A number of NMR applications used for solution studies of structure and dynamics of large protein molecules can benefit from proximity of Ala(β) methyls to the protein backbone and their high degree of ordering. In the case of MSG, these applications include the measurement of (1)H-(13)C residual dipolar couplings in Ala(β) methyls, characterization of slow (μs-to-ms) dynamics at the substrates' binding sites, and methyl-TROSY-based NOE spectroscopy performed on {U-(2)H; Ala(β)-[(13)CH(3)]; Ile(δ1)-[(13)CH(3)]; Leu,Val-[(13)CH(3)/(12)CD(3)]}-labeled samples where the number of methyl probes for derivation of distance restraints is maximized compared to the state-of-the-art ILV labeling methodology.     

Probing side-chain dynamics in high molecular weight proteins by deuterium NMR spin relaxation: an application to an 82-kDa enzyme

New NMR experiments for the measurement of side-chain dynamics in high molecular weight ( approximately 100 kDa) proteins are presented. The experiments quantify (2)H spin relaxation rates in (13)CH(2)D or (13)CHD(2) methyl isotopomers and, for applications to large systems, offer significant gains both in sensitivity (2-3-fold) and resolution over previously published HSQC schemes. The methodology has been applied to investigate Ile dynamics in the 723-residue, single polypeptide chain enzyme, malate synthase G. Methyl-axis order parameters, S(axis), characterizing the amplitudes of motion of the methyl groups, have been derived from both (13)CH(2)D and (13)CHD(2) probes and are in excellent agreement. The distribution of order parameters is trimodal, reflecting the range of dynamics that are available to Ile residues. A reasonable correlation is noted between and inverse temperature factors from X-ray studies of the enzyme. The proposed methodology significantly extends the range of protein systems for which side-chain dynamics can be studied.     

Dynamics of an inclusion complex of chloroform and cryptophane-E: evidence for a strongly anisotropic van der Waals bond

The motional dynamics of a van der Waals inclusion complex of cryptophane-E and chloroform has been investigated by a combined NMR exchange and relaxation study. The kinetics of exchange of chloroform between the bulk solution and the complex was investigated by means of proton EXSY measurements. The carbon-13 relaxation of the cryptophane-E host and of the bound chloroform guest was analyzed using the Lipari-Szabo "model-free" approach. For interpretation of the carbon-13 relaxation measurements for chloroform, the chemical-exchange process of complex formation and dissociation had to be taken into account in terms of the modified Bloch equations. It was found that the complex behaves as a single molecule without any significant guest chloroform motion inside the host's cavity.     

Probing methyl dynamics from 13C autocorrelated and cross-correlated relaxation

An understanding of side-chain motions in protein is of great interest since side chains often play an important role in protein folding and intermolecular interactions. A novel method for measuring dipole-dipole cross-correlated relaxation in methyl groups of uniformly 13C-labeled proteins without deuteration has been developed by our group. The excellent agreement between dynamic parameters of methyl groups in ubiquitin obtained from the cross-correlated relaxation and 13C spin-lattice relaxation and those derived previously from 2H relaxation data demonstrates the reliability of the method. This method was applied to the study of side-chain dynamics of human intestinal fatty acid binding protein (IFABP) with and without its ligand. Binding of oleic acid to the protein results in decreased mobility of most of the methyl groups in the binding region, whereas no significant change in mobility was observed for methyl groups in the nonbinding region.     

Ile, Leu, and Val methyl assignments of the 723-residue malate synthase G using a new labeling strategy and novel NMR methods

New NMR experiments are presented for the assignment of methyl (13)C and (1)H chemical shifts from Ile, Leu, and Val residues in high molecular weight proteins. The first class of pulse schemes transfers magnetization from the methyl group to the backbone amide spins for detection, while the second more sensitive class uses an "out-and-back" transfer scheme in which side-chain carbons or backbone carbonyls are correlated with methyl (13)C and (1)H spins. Both groups of experiments benefit from a new isotopic labeling scheme for protonation of Leu and Val methyl groups in large deuterated proteins. The approach makes use of alpha-ketoisovalerate that is (13)C-labeled and protonated in one of its methyl groups ((13)CH(3)), while the other methyl is (12)CD(3). The use of this biosynthetic precursor leads to production of Leu and Val residues that are (13)CH(3)-labeled at only a single methyl position. Although this labeling pattern effectively reduces by 2-fold the concentration of Leu and Val methyls in NMR samples, it ensures linearity of Val and Leu side-chain (13)C spin-systems, leading to higher sensitivity and, for certain classes of experiments, substantial simplification of NMR spectra. Very near complete assignments of the 276 Ile (delta 1 only), Leu, and Val methyl groups in the single-chain 723-residue enzyme malate synthase G (MSG, molecular tumbling time 37 +/- 2 ns at 37 degrees C) have been obtained using the proposed isotopic labeling strategy in combination with the new NMR experiments.     

Quantitative analysis of protein backbone dynamics in microcrystalline ubiquitin by solid-state NMR spectroscopy

Characterization of protein dynamics by solid-state NMR spectroscopy requires robust and accurate measurement protocols, which are not yet fully developed. In this study, we investigate the backbone dynamics of microcrystalline ubiquitin using different approaches. A rotational-echo double-resonance type (REDOR-type) methodology allows one to accurately measure (1)H-(15)N order parameters in highly deuterated samples. We show that the systematic errors in the REDOR experiment are as low as 1% or even less, giving access to accurate data for the amplitudes of backbone mobility. Combining such dipolar-coupling-derived order parameters with autocorrelated and cross-correlated (15)N relaxation rates, we are able to quantitate amplitudes and correlation times of backbone dynamics on picosecond and nanosecond time scales in a residue-resolved manner. While the mobility on picosecond time scales appears to have rather uniform amplitude throughout the protein, we unambiguously identify and quantitate nanosecond mobility with order parameters S(2) as low as 0.8 in some regions of the protein, where nanosecond dynamics has also been revealed in solution state. The methodology used here, a combination of accurate dipolar-coupling measurements and different relaxation parameters, yields details about dynamics on different time scales and can be applied to solid protein samples such as amyloid fibrils or membrane proteins.     

An improved 15N relaxation dispersion experiment for the measurement of millisecond time-scale dynamics in proteins

A new (15)N constant-time relaxation dispersion pulse scheme for the quantification of millisecond time-scale exchange dynamics in proteins is presented. The experiment differs from previously developed sequences in that it includes (1)H continuous-wave decoupling during the (15)N Carr-Purcell-Meiboom-Gill (CPMG) pulse train that significantly improves the relaxation properties of (15)N magnetization, leading to sensitivity gains in experiments. Moreover, it is shown that inclusion of an additional (15)N 180 degrees refocusing pulse (phase cycled +/- x) in the center of the CPMG pulse train, consisting of 1(5)N 180 degrees (y) pulses, provides compensation for pulse imperfections beyond the normal CPMG scheme. Relative to existing relaxation-compensated constant-time relaxation dispersion pulse schemes, nu(CPMG) values that are only half as large can be employed, offering increased sensitivity to slow time-scale exchange processes. The robustness of the methodology is illustrated with applications involving a pair of proteins: an SH3 domain that does not show millisecond time-scale exchange and an FF domain with significant chemical exchange contributions.     

Correlation between 2H NMR side-chain order parameters and sequence conservation in globular proteins

Side-chain 2H NMR relaxation data have been collected for the SH3 domain from the Fyn tyrosine kinase and analyzed with respect to sequence preference and per-residue solvent accessibility. Residues that are highly preferred at a given position show a tendency to be less mobile than average with a coefficient of correlation that is greater than that obtained when side-chain flexibility and solvent accessibility are compared. The same trend is observed for five of six additional proteins considered. This provides evidence for the existence of conserved structural features other than hydrophobic burial that govern side-chain motions. Through examination of an SH3 domain structural alignment, we identify side-chain hydrogen bonding of threonine residues and a specific secondary structural element as potential determinants of protein internal dynamics.     

Protein side-chain dynamics observed by solution- and solid-state NMR: comparative analysis of methyl 2H relaxation data

Rapid advances in solid-state MAS NMR made it possible to probe protein dynamics on a per-residue basis, similar to solution experiments. In this work we compare methyl 2H relaxation rates measured in the solid and liquid samples of alpha-spectrin SH3 domain. The solution data are treated using a model-free approach to separate the contributions from the overall molecular tumbling and fast internal motion. The latter part forms the basis for comparison with the solid-state data. Although the accuracy of solid-state measurements is limited by deuterium spin diffusion, the results suggest a significant similarity between methyl dynamics in the two samples. This is a potentially important observation, preparing the ground for combined analysis of the dynamics data by solid- and solution-state NMR.     

Time-scale- and temperature-dependent mechanical properties of viscoelastic poly(3,4-ethylenedioxythiophene) films

The viscoelastic properties of thin films of poly(3,4-ethylenedioxythiophene) (PEDOT) have been studied using the method of acoustic impedance. The films were deposited on the Au electrodes of 10 MHz AT-cut quartz thickness shear mode resonators and exposed to acetonitrile solutions of 0.1 M TEABF4 and LiClO4. For p-doped films, admittance spectra as a function of potential (E), temperature (T), and time scale (frequency, via harmonics, in the range 10-110 MHz) were acquired. Shear modulus components extracted from these responses surprisingly showed virtually no variation with E (and thus film solvation) or with T, but the variation with frequency was dramatic. This qualitative behavior and the numerical values of the shear moduli contrast strongly with recently reported data for the related poly(3-hexylthiophene) system, which shares the same conducting spine but differs substantially in the substitution pattern. Accordingly, the models and interpretation for PEDOT are quite different: film dynamics are determined by free-volume effects, and side-chain motion is not a significant factor. Qualitatively similar potential and time-scale effects were seen for n-doped PEDOT, but the scope of the measurements was limited by film stability.     

Study of the side-chain relaxation of methacrylate homopolymers and copolymers by the dielectric method

Dielectric constant and dielectric loss of copolymers of methyl methacrylate (MMA) with n-butyl methacrylate (nBMA) and isobutyl methacrylate (iBMA) have been measured in the frequency range 30 cps to 1 Mcps at temperatures from 70°K to 370°K. Results lead, together with those of previously published investigations on copolymers of MMA, to the following conclusions. (1) The loss-peak temperature attributed to side-chain relaxation (β peak) of PMMA varies with the comonomer ratio when the comonomer does not have an α-methyl group, but remains almost unchanged for comonomers having an α-methyl group. (2) In both cases, the β peak height of PMMA decreases with increasing ratio of comonomer B and completely vanishes for poly-B, and the loss peak temperature plotted against the fraction of B does not extrapolate to the β peak of poly-B. It is suggested on the basis of the above facts that the moving unit in the side-chain relaxation consists of a single side chain with a segment of the backbone chain and that the change in mobility of the side chain upon copolymerization results from the distortion of the helical structure of the backbone chain due to random distribution of α-methyl groups. Dielectric studies of the low-temperature side-chain relaxation (β₂ peak) in PnBMA, poly(n-octyl methacrylate), and poly(n-dodecyl methacrylate) (130°K at 1 kcps) have been made and an interpretation is offered for the molecular nature of this relaxation.