High-resolution field-cycling NMR studies of a DNA octamer as a probe of phosphodiester dynamics and comparison with computer simulation

Phosphorus-spin longitudinal relaxation rates of the DNA duplex octamer [d(GGAATTCC)](2) have been measured from 0.1 to 17.6 T by means of conventional and new field-cycling NMR methods. The high-resolution field-cycling method is identical to a conventional relaxation experiment, except that after preparation the sample is moved pneumatically from its usual position at the center of the high-resolution magnet upward to a lower field above its normal position and then returned to the center for readout after it has relaxed for the programmed relaxation delay at the low field. This is the first measurement of all longitudinal relaxation rates R(1) of a nuclear species in a macromolecule over virtually the entire accessible magnetic field range. For detailed analysis, three magnetic field regions can be delineated: (i) dipolar relaxation dominates at fields below 2 T, (ii) chemical shift anisotropy (CSA) relaxation is roughly constant from 2 to 6 T, and (iii) a square-law increasing dependence is seen at fields higher than approximately 6 T due to internal motion CSA relaxation. The analysis provides a rotational correlation time (tau(r) = 4.1 +/- 0.3 ns) for the duplex at both 1.5 and 0.25 mM concentrations (of duplex) at 22 degrees C. For comparison, extraction of tau(r) in the conventional way from the ratio of T(1)/T(2) at 14 T yields 3.2 ns. The tau(r) discrepancy disappears when we exclude the contribution of internal motion from the R(1) in the ratio. The low-field dipolar relaxation provides a weighted inverse sixth power sum of the distances from the phosphorus to the protons responsible for relaxation. This average is similar for all phosphates in the octamer and similar to that in previous B-DNA structures (its inverse sixth root is about 2.40 A for two different concentrations of octamer). The CSA relaxation at intermediate field provides an estimate of the order parameter squared, S(c)(2), for each phosphorus. S(c)(2) is about 0.7-1, clearly different for different phosphate linkages in the octamer duplex. The increasing R(1) at high fields reflects CSA relaxation due to internal motions, for which a correlation time, tau(hf), can be approximately extracted with the aid of additional measurements at 14.0 and 17.6 T. We conclude that tau(hf) values are relatively large, in the range of about 150 ps. Insight into the motions leading to this correlation time was gained by a 28 ns molecular dynamics simulation of the molecule. S(2) and tau(s) (corresponding to tau(hf)) predicted by this simulation were in good agreement with the experimental values from the field-cycling data. Both the effect of Mg(2+) on the dynamic parameters extracted from (31)P relaxation rates and the field dependence of relaxation rates for several protons of the octamer were measured. High-resolution field cycling opens up the possibility of monitoring residue-specific dipolar interactions and dynamics for the phosphorus nuclei of diverse oligonucleotides.     

Oxygen-17 relaxation times in the blood sera of rats with various cancers. Can a systemic effect be detected?

17O NMR relaxation times of water in the serum of rats with various cancers were measured. No systemic effect could be detected at 4.7 and 8.4 T. The serum T1(17O) value was 7.6 +/- 0.5 ms at 37 degrees C independent of the magnetic field. T2(17O) was approximately half T1(17O). The 17O relaxation times could be determined at a faster rate than the 1H relaxation times.     

Freezing of phosphocholine headgroup in fully hydrated sphingomyelin bilayers and its effect on the dynamics of nonfreezable water at subzero temperatures.

Differential scanning calorimetry (DSC) and nuclear magnetic resonance (NMR) spectroscopy are applied to characterize the nonfreezable water molecules in fully hydrated D2O/sphingomyelin at temperatures below 0 degrees C. Upon cooling, DSC thermogram displays two thermal transitions peaked at -11 and -34 degrees C. The high-temperature exothermic transition corresponds to the freezing of the bulk D2O, and the low-temperature transition, which has not previously been reported, can be ascribed to the freezing of the phosphocholine headgroup in the lipid bilayer. The dynamics of nonfreezable water are also studied by 2H NMR T1 (spin-lattice relaxation time) and T2e (spin-spin relaxation time obtained by two pulse echo) measurements at 30.7 MHz and at temperatures down to -110 degrees C. The temperature dependence of the T1 relaxation time is characterized by a distinct minimum value of 2.1 +/- 0.1 ms at -30 degrees C. T2e is discontinuous at temperature around -70 degrees C, indicating another freezing-like event for the bound water at this temperature. Analysis of the relaxation data suggest that nonfreezable water undergoes both fast and slow motions at characteristic NMR time scales. The slow motions are affected when the lipid headgroup freezes.     

A detailed analysis of the motions of cholesterol in biological membranes by 2H-NMR relaxation

Spin-lattice relaxation, T1z, measurements of [2,2,3,4,4,6-2H6]cholesterol in model membranes of DMPC were performed as a function of temperature, Larmor frequency and position of labelling in the fused ring system. The results are interpreted according to a hierarchy of motions, such that motion i of correlation time tau i reduces the residual ordering set, characterizing motions i-1, i-2, etc..., by the amount Si = d(2)00(beta i), where beta i is the angle between the axes of motional averaging of motions i and i-1, respectively and d(2)00 is the Wigner rotation matrix element. The appearance of minima in the temperature dependence of T1z for cholesterol, at 46.1 MHz and 30.7 MHz, and the scaling of these T1z (min) according to the orientation of each individual C-2H bond with respect to the axis of motional averaging of cholesterol, allows assignment of the sterol axial rotation to the second fastest motion, characterized by a correlation time of 3.2 X 10(-9) s at 25 degrees C and an activation energy of 32 +/- 5 kJ X mole-1. The fastest motion of cholesterol in DMPC could be a very rapid libration, 'wobbling', which does not contribute significantly to the T1z relaxation of cholesterol at physiological temperatures and Larmor frequencies smaller than 50 MHz, but does reduce the ordering of the cholesterol molecule in DMPC from S0 = 1 to S1 = 0.8, at 25 degrees C.     

Backbone dynamics of proteins derived from carbonyl carbon relaxation times at 500, 600 and 800 MHz: Application to ribonuclease T1

The backbone dynamics of uniformly 13C/15N-enriched ribonuclease T1 have beeninvestigated using carbonyl carbon relaxation times recorded at three different spectrometerfrequencies. Pulse sequences for the determination of the longitudinal (T1) and transverse (T2)relaxation times are presented. The relaxation behaviour was analysed in terms of a multispinsystem. Although the chemical shift anisotropy relaxation mechanism dominates at highmagnetic field strength, the contributions of the dipole–dipole interactions and thecross-correlation between these two relaxation mechanisms have also been considered.Information about internal motions has been extracted from the relaxation data using themodel-free approach of Lipari and Szabo in order to determine order parameters (S2) andeffective internal correlation times (i). Using a relatively simple relation between themeasured relaxation rates and the spectral density function, an analytical expression for themicrodynamical parameters in dependence of T1 and T2 has been derived. The spectraldensity mapping technique has been applied in order to study the behaviour of the carbonylcarbon resonances in more detail.     

Dynamics of glycolipids in the liquid-crystalline state. 2H NMR study.

It has been shown previously that two types of motion are adequate to describe the partially relaxed 2H NMR line shapes (inversion recovery experiment) for the backbone portion of the glycolipid 1,2-di-O-tetradecyl-3-O-(beta-D-glucopyranosyl)-sn-glycerol (beta-DTGL) in the highly ordered gel phase (Auger, M.A., D. Carrier, I.C.P. Smith, and H. C. Jarrell. 1990. J. Am. Chem. Soc. 112:1373-1381). This study extends the latter investigation to the more fluid liquid-crystalline phase, where more complex motions are anticipated. Analyses of the powder line shapes and oriented sample relaxation data for both the glycerol backbone and head group regions of this lipid have been performed. The dynamics of glycerol at the C3 position in the gel state have been described by large angle jumps about the C2-C3 bond with a correlation time in the fast-limit motional regime (omega o tau c much less than 1) and site populations 0.46, 0.34, and 0.20. The present data show that in the liquid-crystalline phase the internal jump rate is maintained, and two additional motions are necessary to describe the dependence of the relaxation rate on the orientation of the director with respect to the magnetic field direction. These are rotation about the molecular long axis with a correlation time in the slow-limit motional regime very near to the T1 minimum (omega o tau c approximately 0.65), and molecular fluctuations about the order director (modeled by a Maier-Saupe restoration potential). This treatment was also extended to the glucose head group where additional segmental motion about the glycosidic bond has been reported previously. While the two motions dominating relaxation at the glycerol C3 segment reproduce the general relaxation features of the glucose head group, the results suggest that additional motion about the glycosidic linkage must be present. This study is a stringent test of the motional model chosen earlier because relaxation data were obtained at two 2H NMR frequencies using two relaxation experiments (T1Z and T1Q) and two types of sample preparation (oriented and dispersed multibilayers). The results strongly uphold the choice of model and indicate the utility of both oriented samples and the T1Q experiment.     

Backbone dynamics of the Bacillus subtilis glucose permease IIA domain determined from 15N NMR relaxation measurements.

The backbone dynamics of the uniformly 15N-labeled IIA domain of the glucose permease of Bacillus subtilis have been characterized using inverse-detected two-dimensional 1H-15N NMR spectroscopy. Longitudinal (T1) and transverse (T2) 15N relaxation time constants and steady-state (1H)-15N NOEs were measured, at a spectrometer proton frequency of 500 MHz, for 137 (91%) of the 151 protonated backbone nitrogens. These data were analyzed by using a model-free dynamics formalism to determine the generalized order parameter (S2), the effective correlation time for internal motions (tau e), and 15N exchange broadening contributions (Rex) for each residue, as well as the overall molecular rotational correlation time (tau m). The T1 and T2 values for most residues were in the ranges 0.45-0.55 and 0.11-0.15 s, respectively; however, a small number of residues exhibited significantly slower relaxation. Similarly, (1H)-15N NOE values for most residues were in the range 0.72-0.80, but a few residues had much smaller positive NOEs and some exhibited negative NOEs. The molecular rotational correlation time was 6.24 +/- 0.01 ns; most residues had order parameters in the range 0.75-0.90 and tau e values of less than ca. 25 ps. Residues found to be more mobile than the average were concentrated in three areas: the N-terminal residues (1-13), which were observed to be highly disordered; the loop from P25 to D41, the apex of which is situated adjacent to the active site and may have a role in binding to other proteins; and the region from A146 to S149. All mobile residues occurred in regions close to termini, in loops, or in irregular secondary structure.     

Backbone dynamics of barstar: a (15)N NMR relaxation study

Backbone dynamics of uniformly (15)N-labeled barstar have been studied at 32 degrees C, pH 6.7, by using (15)N relaxation data obtained from proton-detected 2D (1)H-(15)N NMR spectroscopy. (15)N spin-lattice relaxation rate constants (R(1)), spin-spin relaxation rate constants (R(2)), and steady-state heteronuclear (1)H-(15)N NOEs have been determined for 69 of the 86 (excluding two prolines and the N-terminal residue) backbone amide (15)N at a magnetic field strength of 14.1 Tesla. The primary relaxation data have been analyzed by using the model-free formalism of molecular dynamics, using both isotropic and axially symmetric diffusion of the molecule, to determine the overall rotational correlation time (tau(m)), the generalized order parameter (S(2)), the effective correlation time for internal motions (tau(e)), and NH exchange broadening contributions (R(ex)) for each residue. As per the axially symmetric diffusion, the ratio of diffusion rates about the unique and perpendicular axes (D( parallel)/D( perpendicular)) is 0.82 +/- 0.03. The two results have only marginal differences. The relaxation data have also been used to map reduced spectral densities for the NH vectors of these residues at three frequencies: 0, omega(H), and omega(N), where omega(H),(N) are proton and nitrogen Larmor frequencies. The value of tau(m) obtained from model-free analysis of the relaxation data is 5.2 ns. The reduced spectral density analysis, however, yields a value of 5.7 ns. The tau(m) determined here is different from that calculated previously from time-resolved fluorescence data (4.1 ns). The order parameter ranges from 0.68 to 0.98, with an average value of 0.85 +/- 0.02. A comparison of the order parameters with the X-ray B-factors for the backbone nitrogens of wild-type barstar does not show any considerable correlation. Model-free analysis of the relaxation data for seven residues required the inclusion of an exchange broadening term, the magnitude of which ranges from 2 to 9.1 s(-1), indicating the presence of conformational averaging motions only for a small subset of residues.     

Backbone dynamics of the oligomerization domain of p53 determined from 15N NMR relaxation measurements.

The backbone dynamics of the tetrameric p53 oligomerization domain (residues 319-360) have been investigated by two-dimensional inverse detected heteronuclear 1H-15N NMR spectroscopy at 500 and 600 MHz. 15N T1, T2, and heteronuclear NOEs were measured for 39 of 40 non-proline backbone NH vectors at both field strengths. The overall correlation time for the tetramer, calculated from the T1/T2 ratios, was found to be 14.8 ns at 35 degrees C. The correlation times and amplitudes of the internal motions were extracted from the relaxation data using the model-free formalism (Lipari G, Szabo A, 1982, J Am Chem Soc 104:4546-4559). The internal dynamics of the structural core of the p53 oligomerization domain are uniform and fairly rigid, with residues 327-354 exhibiting an average generalized order parameter (S2) of 0.88 +/- 0.08. The N- and C-termini exhibit substantial mobility and are unstructured in the solution structure of p53. Residues located at the N- and C-termini, in the beta-sheet, in the turn between the alpha-helix and beta-sheet, and at the C-terminal end of the alpha-helix display two distinct internal motions that are faster than the overall correlation time. Fast internal motions (< or = 20 ps) are within the extreme narrowing limit and are of uniform amplitude. The slower motions (0.6-2.2 ns) are outside the extreme narrowing limit and vary in amplitude.(ABSTRACT TRUNCATED AT 250 WORDS)     

Backbone dynamics of TEM-1 determined by NMR: evidence for a highly ordered protein

Backbone dynamics of TEM-1 beta-lactamase (263 amino acids, 28.9 kDa) were studied by 15N nuclear magnetic resonance relaxation at 11.7, 14.1, and 18.8 T. The high quality of the spectra allowed us to measure the longitudinal relaxation rate (R1), the transverse relaxation rate (R2), and the {1H}-15N NOE for up to 227 of the 250 potentially observable backbone amide groups. The model-free formalism was used to determine internal motional parameters using an axially anisotropic model. TEM-1 exhibits a small prolate axial anisotropy (D(parallel)/D(perpendicular) = 1.23 +/- 0.01) and a global correlation time (tau(m)) of 12.41 +/- 0.01 ns. The unusually high average generalized order parameter (S2) of 0.90 +/- 0.02 indicates that TEM-1 is one of the most ordered proteins studied by liquid-state NMR to date. Although the omega-loop has a high degree of order in the picosecond-to-nanosecond time scale (mean S2 value of 0.90 +/- 0.02), we observed the presence of microsecond-to-millisecond time scale motions for this loop, as for the vicinity of the active site. These motions could be relevant for the catalytic function of TEM-1. Amide exchange experiments were also performed, and several amide groups were not exchanged after 12 days, an indication that global motions in TEM-1 are also very limited. Although detailed dynamics characterization by NMR cannot be readily applied to TEM-1 in the presence of relevant substrates, the unusual picosecond-to-nanosecond dynamics behavior of TEM-1 presented here will be essential to the validation and improvement of future molecular dynamics simulations of TEM-1 in the presence of functionally relevant substrates.     

Measurements of water proton NMR spin-lattice relaxation time in the rotating frame (T1p) for studying motions in solutions of giant macro-molecules and supramolecular particles (T2 virus)

Spin-spin relaxation time (T2), spin-lattice relaxation time (T1), and spin-lattice relaxation time in the rotating frame (T1p) of water protons in solutions of bacteriophage T2 were studied by pulsed nuclear magnetic resonance. The frequency dependence of the measurements exhibits a dispersion implying existence of a fraction of water molecules in solution with a correlation time distribution centered at approximately 10(-5) sec which is strongly influenced by the reorientational motions of virus particles. Experiments were carried out with two forms of bacteriophage T2 existing at pH 5.4 and 7.8 respectively. The different structures of the virus at these two pH values are reflected in the NMR relaxation behavior of water protons.     

Backbone dynamics of the glucocorticoid receptor DNA-binding domain.

The extent of rapid (picosecond) backbone motions within the glucocorticoid receptor DNA-binding domain (GR DBD) has been investigated using proton-detected heteronuclear NMR spectroscopy on uniformly 15N-labeled protein fragments containing the GR DBD. Sequence-specific 15N resonance assignments, based on two- and three-dimensional heteronuclear NMR spectra, are reported for 65 of 69 backbone amides within the segment C440-A509 of the rat GR in a protein fragment containing a total of 82 residues (MW = 9200). Individual backbone 15N spin-lattice relaxation times (T1), rotating-frame spin-lattice relaxation times (T1 rho), and steady-state (1H)-15N nuclear Overhauser effects (NOEs) have been measured at 11.74 T for a majority of the backbone amide nitrogens within the segment C440-N506. T1 relaxation times and NOEs are interpreted in terms of a generalized order parameter (S2) and an effective correlation time (tau e) characterizing internal motions in each backbone amide using an optimized value for the correlation time for isotropic rotational motions of the protein (tau R = 6.3 ns). Average S2 order parameters are found to be similar (approximately 0.86 +/- 0.07) for various functional domains of the DBD. Qualitative inspection as well as quantitative analysis of the relaxation and NOE data suggests that the picosecond flexibility of the DBD backbone is limited and uniform over the entire protein, with the possible exception of residues S448-H451 of the first zinc domain and a few residues for which relaxation and NOE parameters were not obtained. in particular, we find no evidence for extensive rapid backbone motions within the second zinc domain. Our results therefore suggest that the second zinc domain is not disordered in the uncomplexed state of DBD, although the possibility of slowly exchanging (ordered) conformational states cannot be excluded in the present analysis.     

Dynamics of an integral membrane peptide: a deuterium NMR relaxation study of gramicidin.

Solid state deuterium (2H) NMR inversion-recovery and Jeener-Broekaert relaxation experiments were performed on oriented multilamellar dispersions consisting of 1,2-dilauroyl-sn-glycero-3-phosphatidylcholine and 2H exchange-labeled gramicidin D, at a lipid to protein molar ratio (L/P) of 15:1, in order to study the dynamics of the channel conformation of the peptide in a liquid crystalline phase. Our dynamic model for the whole body motions of the peptide includes diffusion of the peptide around its helix axis and a wobbling diffusion around a second axis perpendicular to the local bilayer normal in a simple Maier-Saupe mean field potential. This anisotropic diffusion is characterized by the correlation times, tau R parallel and tau R perpendicular. Aligning the bilayer normal perpendicular to the magnetic field and graphing the relaxation rate, 1/T1Z, as a function of (1-S2N-2H), where S2N-2H represents the orientational order parameter, wer were able to estimate the correlation time, tau R parallel, for rotational diffusion. Although in the quadrupolar splitting, which varies as (3 cos2 theta D-1), has in general two possible solutions to theta D in the range 0 < or = theta D < or = 90 degrees, the 1/T1Z vs. (1-S2N-2H) curve can be used to determine a single value of theta D in this range. Thus, the 1/T1Z vs. (1-S2N-2H) profile can be used both to define the axial diffusion rate and to remove potential structural ambiguities in the splittings. The T1Z anisotropy permits us to solve for the two correlation times (tau R parallel = 6.8 x 10(-9) s and tau R perpendicular = 6 x 10(-6) s). The simulated parameters were corroborated by a Jeener-Broekaert experiment where the bilayer normal was parallel to the principal magnetic field. At this orientation the ratio, J2(2 omega 0)/J1(omega 0) was obtained in order to estimate the strength of the restoring potential in a model-independent fashion. This measurement yields the rms angle, <theta 2>1/2 (= 16 +/- 2 degrees at 34 degrees C), formed by the peptide helix axis and the average bilayer normal.     

Water in agarose gels studied by nuclear magnetic resonance relaxation in the rotating frame.

The dependence of the spin-lattice relaxation time in the rotating frame (T1rho) on radio frequency (RF) field strength and temperature has been studied for agarose gels in order to investigate molecular motion. The results indicate the presence of slow motions with a correlation time of ca. 5-10(-6) s at room temperature. This interaction is responsible for the short spin-spin relaxation times (T2) for water protons in agarose gels and is ascribed to firmly bound water. The fraction of bound water is estimated to about 0.003 for a 7.3% agarose gel. The motion of the more mobile protons in agarose-water systems can not be characterized by single correlation time. This fraction is presumably composed of water in different motional states and some of the agarose hydroxyl protons. Higher mobilities are the most common.     

Proton magnetic relaxation dispersion in solutions of the cuproprotein diamine oxidase.

Proton nuclear magnetic resonance relaxation measurements were made over the range 4.7--220 MHz for aqueous solutions of hog kidney diamine oxidase. The values of 1/T1 give rise in two distinct dispersions, at 16 and 75 MHz, whereas 1/T2 displays a minimum at 20 MHz. The temperature dependence of relaxation rates in all cases yield apparent activation energies less than 0.6 kcal/mol. These data indicate to us that the two Cu(II) ions of diamine oxidase are intrinsically different in terms of their electronic relaxation characteristics and hence, chemical environments. Low field limits of the two electronic relaxation times are 2 and 10 ns, with one of these correlation times being frequency dependent. The value of the frequency-dependent electronic relaxation time is governed by interactions that are modulated by a process having a correlation time of 5 ps.     

Study of molecular dynamics of bovine carbonic anhydrase B by 13C-NMR in two strongly polarizing magnetic fields. I. Intramolecular mobility of polypeptide chains of the native enzyme

The study of the dynamics of enzyme segmental movement is of considerable importance in the understanding of the physics of the catalytic function of these macromolecules, which cannot be adequately described without introduction of intramolecular mobility of their polypeptide chains. At present high resolution [13C]NMR is mostly used as an effective and selective method for the observation of spectral and relaxation parameters that are sensitive to structure, conformation and local motion. The molecular dynamics of bovine carbonic anhydrase B (carbonate hydrolase EC. 4.2.1.1) in the native form was studied. Measurements of the relaxation parameters (T1, T2 and NOE) of the alpha-carbons of the polypeptide chain in two high magnetic fields (4.7 and 11.7 T) were carried out. The model-free approach of Lipari and Szabo to the interpretation of these experimental data show a satisfactory agreement between theory and experiment for these carbon nuclei if an internal degree of motion such as libration or restricted diffusion in a cone with angular amplitude in the 10 degrees less than theta less than or equal to 20 degrees range and an effective correlation time tau e approximately equal to 6 to 7 x 10(-11) S in addition to the tau R = 3 x 10(-8) S reorientation correlation time of the whole molecular is introduced.