Magnetic relaxation analysis of dynamic processes in macromolecules in the pico- to microsecond range

Theory and practice of nuclear spin relaxation in proteins

NMR relaxation experiments can provide information on overall and internal motions in proteins. This review consists of a concise report on the evolution of the theories for nuclear relaxation followed by an overview of mathematical models for internal motions in proteins. Next, the method of spectral density mapping with recent developments is reviewed. This is followed by a discussion of pulse sequences for relaxation experiments. Finally, we review recent studies correlating relaxation parameters, in particular spectral density functions, with structural features of proteins and with results of molecular dynamics simulations.

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

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 tau 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.

Backbone dynamics of trp repressor studied by 15N NMR relaxation

Backbone dynamics of trp repressor, a 25 kDa DNA binding protein, have been studied using 15N relaxation data measured by proton-detected two-dimensional 1H-15N NMR spectroscopy. 15N spin-lattice relaxation time (T1), spin-spin relaxation time (T2), and heteronuclear NOEs were determined for all visible backbone amide 15N nuclei. Monte Carlo simulations of the amplitudes of backbone motions led to the conclusion that a wobbling in a cone model with consideration of the anisotropic reorientation of the molecule was appropriate to describe the underlying motions, allowing us to derive the semiangle of the cone (alpha) and the effective correlation time for internal motions (tau e) for each N-H bond vector. The final optimized rotational diffusion coefficients parallel (D parallel) and perpendicular (D perpendicular) to the unique axis of the molecule were found to be 1.48 +/- 0.06 x 10(7) and 1.15 +/- 0.05 x 10(7) s-1, respectively. The average semiangle of the cone (alpha) describing the amplitude of NH vector motions on the picosecond time scale was found to be 20.9 +/- 5.7 degrees. Large amplitude motions on the picosecond time scale are found at both the N and C termini but are restricted in both the hydrophobic core and DNA-binding regions.

Internal mobility in a double-stranded B DNA hexamer and undecamer. A time-dependent proton-proton nuclear Overhauser enhancement study

The internal mobility of the deoxyribose H2'-H2" and base C(H5)-C(H6) and T(CH3)-T(H6) vectors has been investigated by means of time-dependent nuclear Overhauser enhancement (NOE) measurements in a B DNA hexamer and undecamer. Cross-relaxation rates between these proton pairs are determined from the initial slopes of the time development of the NOEs, and, as the interproton distances between these proton pairs are fixed, apparent correlation times for the 3 interproton vectors are calculated from the cross-relaxation rate data. It is shown that there is little residue to residue variation in the cross-relaxation rates of the interproton vectors within each oligonucleotide, that the mean apparent correlation times of the C(H5)-C(H6) and T(CH3)-T(H6) vectors are approximately equal and significantly greater than that of the H2'-H2" vectors, and that the data for the H2'-H2" vectors of both oligonucleotides and the C(H5)-C(H6) and T(CH3)-T(H6) vectors of the undecamer cannot be accounted for by isotropic tumbling alone. The data are analysed in terms of a two motion model with isotropic tumbling and a single internal motion. The relaxation time of the internal motion at 23 degrees C is less than or equal to 1 ns for the H2'-H2" vectors of both oligonucleotides and less than or equal to 3 ns for the C(H5)-C(H6) and T(CH3)-T(H6) vectors of the undecamer. In the case of the H2'-H2" vectors, however, the amplitude of the internal motion is found to be too large to be compatible with the known stereochemistry of DNA. This finding can only be explained by invoking additional degrees of internal freedom with a larger number of internal motions of small amplitude of the type deduced from the analysis of crystallographic thermal factors [(1984) J. Mol. Biol. 173, 361-388].