Structural flexibility in hydrated proteins

The flexibility of protein structures is important in allowing the variety of motions, covering a wide range of magnitudes and frequencies, essential to biological activity. Protein flexibility is also implicated in denaturation, allowing proteins to take up nonactive conformations that have free energies close to that of the native state. High-frequency dielectric measurement can be used to study the flexibility of proteins by probing the relaxation of dipolar constituents of their structures. In this work, 14 hydrated globular proteins are investigated using this method. Four relaxation processes are identified, one of which, with a relaxation time of 19 ns, can be correlated with the sum of the number densities of protein glycine and alanine residues. A second with a relaxation time of 2 ns shows a dependence on the number of threonine residues. It is concluded that the dipolar peptide groups of the protein backbone associated with these residues are responsible for these dielectric responses, with the lower frequency dispersion being due to backbone mobility in the hydrophobic environment of the protein core and the higher frequency response being associated with mobility on the more hydrophilic protein surface. The correlation of protein backbone flexibility with particular side chains indicates that these protein motions are under the direct control of the amino acid sequence of the protein.     

Changes in dynamics of SRE-RNA on binding to the VTS1p-SAM domain studied by 13C NMR relaxation

RNA recognition by proteins is often accompanied by significant changes in RNA dynamics in addition to conformational changes. However, there are very few studies which characterize the changes in molecular motions in RNA on protein binding. We present a quantitative (13)C NMR relaxation study of the changes in RNA dynamics in the pico-nanosecond time scale and micro-millisecond time scale resulting from interaction of the stem-loop SRE-RNA with the VTS1p-SAM domain. (13)C relaxation rates of the protonated carbons of the nucleotide base and anomeric carbons have been analyzed by employing the model-free formalism, for a fully (13)C/(15)N-labeled sample of the SRE-RNA in the free and protein-bound forms. In the free RNA, the nature of molecular motions are found to be distinctly different in the stem and the loop region. On binding to the protein, the nature of motions becomes more homogeneous throughout the RNA, with many residues showing increased flexibility at the aromatic carbon sites, while the anomeric carbon sites become more rigid. Surprisingly, we also observe indications of a slow collective motion of the RNA in the binding pocket of the protein. The observation of increased motions on binding is interesting in the context of growing evidence that binding does not always lead to motional restrictions and the resulting entropy gain could favor the free energy of association.     

Millisecond dynamics in glutaredoxin during catalytic turnover is dependent on substrate binding and absent in the resting states

Conformational dynamics is important for enzyme function. Which motions of enzymes determine catalytic efficiency and whether the same motions are important for all enzymes, however, are not well understood. Here we address conformational dynamics in glutaredoxin during catalytic turnover with a combination of NMR magnetization transfer, R(2) relaxation dispersion, and ligand titration experiments. Glutaredoxins catalyze a glutathione exchange reaction, forming a stable glutathinoylated enzyme intermediate. The equilibrium between the reduced state and the glutathionylated state was biochemically tuned to exchange on the millisecond time scale. The conformational changes of the protein backbone during catalysis were followed by (15)N nuclear spin relaxation dispersion experiments. A conformational transition that is well described by a two-state process with an exchange rate corresponding to the glutathione exchange rate was observed for 23 residues. Binding of reduced glutathione resulted in competitive inhibition of the reduced enzyme having kinetics similar to that of the reaction. This observation couples the motions observed during catalysis directly to substrate binding. Backbone motions on the time scale of catalytic turnover were not observed for the enzyme in the resting states, implying that alternative conformers do not accumulate to significant concentrations. These results infer that the turnover rate in glutaredoxin is governed by formation of a productive enzyme-substrate encounter complex, and that catalysis proceeds by an induced fit mechanism rather than by conformer selection driven by intrinsic conformational dynamics.     

Conformational flexibility of a microcrystalline globular protein: order parameters by solid-state NMR spectroscopy

The majority of protein structures are determined in the crystalline state, yet few methods exist for the characterization of dynamics for crystalline biomolecules. Solid-state NMR can be used to probe detailed dynamic information in crystalline biomolecules. Recent advances in high-resolution solid-state NMR have enabled the site-specific assignment of (13)C and (15)N nuclei in proteins. With the use of multidimensional separated-local-field experiments, we report the backbone and side chain conformational dynamics of ubiquitin, a globular microcrystalline protein. The measurements of molecular conformational order parameters are based on heteronuclear dipolar couplings, and they are correlated to assigned chemical shifts, to obtain a global perspective on the sub-microsecond dynamics in microcrystalline ubiquitin. A total of 38 Calpha, 35 Cbeta and multiple side chain unique order parameters are collected, and they reveal the high mobility of ubiquitin in the microcrystalline state. In general the side chains show elevated motion in comparison with the backbone sites. The data are compared to solution NMR order parameter measurements on ubiquitin. The SSNMR measurements are sensitive to motions on a broader time scale (low microsecond and faster) than solution NMR measurements (low nanosecond and faster), and the SSNMR order parameters are generally lower than the corresponding solution values. Unlike solution NMR relaxation-based order parameters, order parameters for (13)C(1)H(2) spin systems are readily measured from the powder line shape data. These results illustrate the potential for detailed, extensive, and site-specific dynamic studies of biopolymers by solid-state NMR.     

The C-terminal sterile alpha motif (SAM) domain of human p73 is a highly dynamic protein, which acquires high thermal stability through a decrease in backbone flexibility

The α-splice variant of p73 (p73α), a homologue of the tumour suppressor p53, has close to its C terminus a sterile alpha motif (SAM), SAMp73, that is involved in protein-biomolecule interactions. The conformational stability of SAMp73 is low (～5 kcal mol(-1)), although its thermal stability is high. To explain this high thermostability, we studied the dynamics of SAMp73 over a wide range of GdmCl (guanidine hydrochloride) concentrations and temperatures by NMR relaxation, NMR hydrogen-exchange (HX) and fluorescence lifetime approaches. The slowest exchanging residues of SAMp73 belong to the helical regions, and they did exchange by a global unfolding process. Moreover, SAMp73 was very flexible, with most of its amide protons affected by slow μs-ms conformational exchange. Within this time scale, the residues of SAMp73 with the largest exchange rates (R(ex)) were involved in binding with other molecules; therefore, the flexibility in the μs-ms range was associated with biological functions. As the [GdmCl] increased, the pico-to-nanosecond flexibility of the backbone amide protons raised, but it did so differently depending on the residue. We were able to obtain, for the first time, the linear [GdmCl]-variation of the local conformational entropies, m(S(i)), which ranged from 5.3 to 0.3 cal mol(-1) K(-1) M(-1), similar to those measured by using macroscopic techniques in other proteins. Conversely, the temperature dependence of the pico-to-nanosecond dynamics of the backbone amide protons of SAMp73 indicates that the flexibility of some residues decreased with the temperature; these results explain the high thermostability of the protein.     

Temperature dependence of domain motions of calmodulin probed by NMR relaxation at multiple fields

Interdomain motions of Ca(2+)-ligated calmodulin were characterized by analyzing the nuclear magnetic resonance (15)N longitudinal relaxation rate R(1), transverse relaxation rate R(2), and steady-state {(1)H}-(15)N NOE of the backbone amide group at three different magnetic field strengths (18.8, 14.1, and 8.5 T) and four different temperatures (21, 27, 35, and 43 degrees C). Between 35 and 43 degrees C, a larger than expected change in the amplitude and the time scale of the interdomain motion for both N- and C-domains was observed. We attribute this to the shift in population of four residues (74-77) in the central linker from predominantly helical to random coil in this temperature range. This is consistent with the conformation of these residues in the calmodulin-peptide complex, where they are nonhelical. The doubling of the disordered region of the central helix (residues 78-81 at room temperature) when temperature is raised from 35 to 43 degrees C results in larger amplitude interdomain motion. Our analysis of the NMR relaxation data quantifies subtle changes in the interdomain dynamics and provides an additional tool to monitor conformational changes in multidomain proteins.     

Temperature dependence of anisotropic protein backbone dynamics

The measurement of (15)N NMR spin relaxation, which reports the (15)N-(1)H vector reorientational dynamics, is a widely used experimental method to assess the motion of the protein backbone. Here, we investigate whether the (15)N-(1)H vector motions are representative of the overall backbone motions, by analyzing the temperature dependence of the (15)N-(1)H and (13)CO-(13)C(alpha) reorientational dynamics for the small proteins binase and ubiquitin. The latter dynamics were measured using NMR cross-correlated relaxation experiments. The data show that, on average, the (15)N-(1)H order parameters decrease only by 2.5% between 5 and 30 degrees C. In contrast, the (13)CO-(13)C(alpha) order parameters decrease by 10% over the same temperature trajectory. This strongly indicates that there are polypeptide-backbone motions activated at room temperature that are not sensed by the (15)N-(1)H vector. Our findings are at variance with the common crank-shaft model for protein backbone dynamics, which predicts the opposite behavior. This study suggests that investigation of the (15)N relaxation alone would lead to underestimation of the dynamics of the protein backbone and the entropy contained therein.     

Impact of Stable Protein-protein Interaction on Protein Conformational Space

Backbone dihedral angle based clustering approach was applied to investigate the effect of protein complexation on backbone conformational space and the effect on protein dynamics. Three representative enzyme-inhibitor complexes and their comprised proteins were used as models for small-and moderate-sized globular proteins to compare available backbone conformational space before and after complexation. Microsecond time scale molecular dynamic simulations were generated to ensure sufficient statistics. The result suggests that stable protein-protein interactions lead to redistribution of protein backbone mobility and restriction of the protein backbone conformational space, especially for short time scale motions. Surprisingly, these effects are found to be uncorrelated with protein-protein interaction surface. Consistent with many experimental and computational observations, our results indicate that both induced-fit and conformational selection models play roles in stable protein complexation process, with the dominant role being different for different protein complexes.     

Nanosecond to microsecond protein dynamics probed by magnetic relaxation dispersion of buried water molecules

Large-scale protein conformational motions on nanosecond-microsecond time scales are important for many biological processes, but remain largely unexplored because of methodological limitations. NMR relaxation methods can access these time scales if protein tumbling is prevented, but the isotropy required for high-resolution solution NMR is then lost. However, if the immobilized protein molecules are randomly oriented, the water 2H and 17O spins relax as in a solution of freely tumbling protein molecules, with the crucial difference that they now sample motions on all time scales up to approximately 100 micros. In particular, the exchange rates of internal water molecules can be determined directly from the 2H or 17O magnetic relaxation dispersion (MRD) profile. This possibility opens up a new window for characterizing the motions of individual internal water molecules as well as the large-scale protein conformational fluctuations that govern the exchange rates of structural water molecules. We introduce and validate this new NMR method by presenting and analyzing an extensive set of 2H and 17O MRD data from cross-linked gels of two model proteins: bovine pancreatic trypsin inhibitor and ubiquitin. We determine residence times and order parameters of four internal water molecules in these proteins and show that they are quantitatively consistent with the information available from crystallography and solution MRD. We also show how slow motions of side-chains bearing labile hydrogens can be monitored by the same approach. Proteins of any size can be studied at physiological hydration levels with this method.     

Implications of fast-time scale dynamics of human DNA/RNA cytosine methyltransferases (DNMTs) for protein function

The role of protein dynamics in the control of substrate recognition, catalysis, and protein–protein interactions is often underestimated. Recently, a number of studies have examined the contribution of protein dynamics to the thermodynamics of ligand binding in detail, mostly using NMR relaxation measurements and molecular dynamics (MD) simulations. The results unequivocally demonstrate that conformational dynamics play a pivotal role in the properties and functions of proteins, and ignoring this contribution is likely to lead to substantial errors when explaining the biological function of proteins and in predictions of the binding affinities of their cognate ligands. However, the details of the interplay between structure and dynamics and the way it affects the biological function of the target protein remain poorly understood. In this study, the changes in fast (picosecond-to-nanosecond time scale) dynamics of catalytic domains of four human cytosine DNA methyltransferases (DNMTs) were studied using molecular dynamics (MD) simulations. The results provide insight into the protein dynamics changes that occur upon binding of the cofactor, S-adenosylmethionine (SAM). Contrary to expectations, increased amplitude of motions of backbone amide (N–H) and terminal heavy atom (C–C) bond vectors was observed in all studied DNMTs upon binding of SAM. These results imply that the cofactor binding causes a global increase in the extent of protein dynamics in the short time scale. This global dynamic change constitutes a favourable entropic contribution to the free energy of SAM binding. These results suggest that cytosine DNA methyltransferases may exploit changes in their fast scale dynamics to reduce the entropic cost of the substrate binding.     

Weak long-range correlated motions in a surface patch of ubiquitin involved in molecular recognition

Long-range correlated motions in proteins are candidate mechanisms for processes that require information transfer across protein structures, such as allostery and signal transduction. However, the observation of backbone correlations between distant residues has remained elusive, and only local correlations have been revealed using residual dipolar couplings measured by NMR spectroscopy. In this work, we experimentally identified and characterized collective motions spanning four β-strands separated by up to 15 ? in ubiquitin. The observed correlations link molecular recognition sites and result from concerted conformational changes that are in part mediated by the hydrogen-bonding network.     

A comprehensive analysis of multifield 15N relaxation parameters in proteins: determination of 15N chemical shift anisotropies.

This study deals with the exploitation of the three classical 15N relaxation parameters (the longitudinal relaxation rate, R1, the transverse relaxation rate, R2, and the 1H-15N cross-relaxation rate, sigmaNH) measured at several magnetic fields in uniformly 15N-labeled proteins. Spectral densities involved in R1, R2 and sigmaNH are analyzed according to the functional form A + B/(1 + omega(2) taus(2)), where taus is the correlation time associated with slow motions sensed by the NH vector at the level of the residue to which it belongs. The coefficient B provides a realistic view of the backbone dynamics, whereas A is associated with fast local motions. According to the "model free approach", B can be identified with 2tausS(2) where S is the generalized order parameter. The correlation time taus is determined from the field dependency of the relaxation parameters while A and B are determined through linear equations. This simple data processing is needed for obtaining realistic error bars based on a statistical approach. This proved to be the key point for validating an extended analysis aiming at the determination of nitrogen chemical shift anisotropy. The protein C12A-p8(MTCP1) has been chosen as a model for this study. It will be shown that all data (obtained at five magnetic field strengths corresponding to proton resonance of 400, 500, 600, 700, and 800 MHz) are very consistently fitted provided that a specific effective correlation time associated with slow motions is defined for each residue. This is assessed by small deviations between experimental and recalculated values, which, in all cases, remain within experimental uncertainty. This strategy makes needless elaborate approaches based on the combination of several slow motions or their possible anisotropy. Within the core of the protein taus fluctuates in a relatively narrow range (with a mean value of 6.15 ns and a root-mean-square deviation of 0.36 ns) while it is considerably reduced at the protein extremities (down to approximately 3 ns). To a certain extent, these fluctuations are correlated with the protein structure. A is not obtained with sufficient accuracy to be valuably discussed. Conversely, order parameters derived from B exhibit a significant correlation with the protein structure. Finally, the multi-field analysis of the evolution of longitudinal and transverse relaxation rates has been refined by allowing the 15N chemical shift anisotropy (csa) to vary residue by residue. Within uncertainties (derived here on a statistical basis) an almost constant value is obtained. This strongly indicates an absence of correlation between the experimental value of this parameter obtained for a given residue in the protein, the nature of this residue, and the possible involvement of this residue in a structured area of the protein.     

Exploring multiple timescale motions in protein GB3 using accelerated molecular dynamics and NMR spectroscopy

Biological function relies on the complex spectrum of conformational dynamics occurring in biomolecules. We have combined Accelerated Molecular Dynamics (AMD) with experimental results derived from NMR to probe multiple time-scale motions in the third IgG-binding domain of Protein G (GB3). AMD is shown to accurately reproduce the amplitude and distribution of slow motional modes characterized using residual dipolar couplings, reporting on dynamics up to the millisecond timescale. In agreement with experiment, larger amplitude slower motions are localized in the beta-strand/loop motif spanning residues 14-24 and in loop 42-44. Principal component analysis shows these fluctuations participating in the primary mode, substantiating the existence of a correlated motion traversing the beta-sheet that culminates in maximum excursions at the active site of the molecule. Fast dynamics were simulated using extensive standard MD simulations and compared to order parameters extracted from 15N relaxation. Notably 60 2-ns fully solvated MD simulations exploring the different conformational substates sampled from AMD resulted in better reproduction of order parameters compared to the same number of simulations starting from the relaxed crystal structure. This illustrates the inherent dependence of protein dynamics on local conformational topology. The results provide rare insight into the complex hierarchy of dynamics present in GB3 and allow us to develop a model of the conformational landscape native to the protein, appearing as a steep sided potential well whose flat bottom comprises multiple similar but discrete conformational substates.     

Reorientational eigenmode dynamics: a combined MD/NMR relaxation analysis method for flexible parts in globular proteins

An approach is presented for the interpretation of heteronuclear NMR spin relaxation data in mobile protein parts in terms of reorientational eigenmode dynamics. The method is based on the covariance matrix of the spatial functions of the nuclear spin interactions that cause relaxation expressed as spherical harmonics of rank 2. The approach was applied to characterize the dynamics of a loop region of ubiquitin. The covariance matrix was determined from a conformational ensemble generated by a 5 ns molecular dynamics simulation. It was found that the time correlation functions of the dominant eigenmodes decay in good approximation with a single correlation time. From the reorientational eigenmodes, their eigenvalues, and correlation times, NMR relaxation data were calculated in accordance with Bloch-Wangsness-Redfield relaxation theory and directly compared with experimental (15)N relaxation parameters. Using a fitting procedure, agreement between calculated and experimental data was improved significantly by adjusting eigenvalues and correlation times of the dominant modes. The presented procedure provides detailed information on correlated reorientational dynamics of flexible parts in globular proteins. The covariance matrix was linked to the covariance matrix of backbone dihedral angle fluctuations, allowing one to study the motional behavior of these degrees of freedom on nano- and subnanosecond time scales.     

Backbone dynamics of proteins studied by two-dimensional heteronuclear NMR spectroscopy and molecular dynamics simulations

To investigate the backbone dynamics of proteins ¹⁵N longitudinal and transverse relaxation experiments combined with {¹H, ¹⁵N{ NOE measurements together with molecular dynamics simulations were carried out using ribonuclease T₁ and the complex of ribonuclease T₁ with 2′GMP as a model protein. The intensity decay of individual amide cross peaks in a series of (¹H, ¹⁵N)HSQC spectra with appropriate relaxation periods was fitted to a single exponential by using a simplex algorithm in order to obtain ¹⁵N T₁ and T₂ relaxation times. The relaxation times were analyzed in terms of the “model-free” approach introduced by Lipari and Szabo. In addition, a nanosecond molecular dynamics (MD ) simulation of ribonuclease T₁ and its 2′GMP complex in water was carried out. The angular reorientations of the backbone amide groups were classified with several coordinate frames following a transformation of NH vector trajectories. In this study, NH librations and backbone dihedral angle fluctuations were distinguished. The NH bond librations were found to be similar for all amides as characterized by correlation times of librational motions in a subpicosecond scale. The angular amplitudes of these motions were found to be about 10°–12° for out-of-plane displacements and 3°–5° for the in-plane displacement. The contributions from the much slower backbone dihedral angle fluctuations strongly depend on the secondary structure. The dependence of the amplitude of local motion on the residue location in the backbone is in good agreement with the results of NMR relaxation measurements and the X-ray data. The protein dynamics is characterized by a highly restricted local motion of those parts of the backbone with defined secondary structure as well as by a high flexibility in loop regions. Comparison of the MD and NMR data of the free liganded enzyme ribonuclease T₁ clearly indicates a restriction of the mobility within certain regions of the backbone upon inhibitor binding. © 1996 John Wiley & Sons, Inc.     

A simple method to predict protein flexibility using secondary chemical shifts

Protein motions play a critical role in many biological processes, such as enzyme catalysis, allosteric regulation, antigen-antibody interactions, and protein-DNA binding. NMR spectroscopy occupies a unique place among methods for investigating protein dynamics due to its ability to provide site-specific information about protein motions over a large range of time scales. However, most NMR methods require a detailed knowledge of the 3D structure and/or the collection of additional experimental data (NOEs, T1, T2, etc.) to accurately measure protein dynamics. Here we present a simple method based on chemical shift data that allows accurate, quantitative, site-specific mapping of protein backbone mobility without the need of a three-dimensional structure or the collection and analysis of NMR relaxation data. Further, we show that this chemical shift method is able to quantitatively predict per-residue RMSD values (from both MD simulations and NMR structural ensembles) as well as model-free backbone order parameters.     

Slow dynamics in folded and unfolded states of an SH3 domain.

(15)N relaxation dispersion experiments were applied to the isolated N-terminal SH3 domain of the Drosophila protein drk (drkN SH3) to study microsecond to second time scale exchange processes. The drkN SH3 domain exists in equilibrium between folded (F(exch)) and unfolded (U(exch)) states under nondenaturing conditions in a ratio of 2:1 at 20 degrees C, with an average exchange rate constant, k(ex), of 2.2 s(-1) (slow exchange on the NMR chemical shift time scale). Consequently a discrete set of resonances is observed for each state in NMR spectra. Within the U(exch) ensemble there is a contiguous stretch of residues undergoing conformational exchange on a micros/ms time scale, likely due to local, non-native hydrophobic collapse. For these residues both the F(exch) <--> U(exch) conformational exchange process and the micros/ms exchange event within the U(exch) state contribute to the (15)N line width and can be analyzed using CPMG-based (15)N relaxation dispersion measurements. The contribution of both processes to the apparent relaxation rate can be deconvoluted numerically by combining the experimental (15)N relaxation dispersion data with results from an (15)N longitudinal relaxation experiment that accurately quantifies exchange rates in slow exchanging systems (Farrow, N. A.; Zhang, O.; Forman-Kay, J. D.; Kay, L. E. J. Biomol. NMR 1994, 4, 727-734). A simple, generally applicable analytical expression for the dependence of the effective transverse relaxation rate constant on the pulse spacing in CPMG experiments has been derived for a two-state exchange process in the slow exchange limit, which can be used to fit the experimental data on the global folding/unfolding transition. The results illustrate that relaxation dispersion experiments provide an extremely sensitive tool to probe conformational exchange processes in unfolded states and to obtain information on the free energy landscape of such systems.     

Dynamics simulation on the flexibility and backbone motions of HP1 chromodomain bound to free and lysine 9‐methylated histone H3 tails

Histone methylation has emerged as a central epigenetic modification with both activating and repressive roles in eukaryotic chromatin. Drosophila HP1 (heterochromatin‐associated protein 1) is one of the chromodomain proteins that contain the essential aromatic residues as the recognition pocket for lysine methylated histone H3 tail. The aromatic cage indicates that the complex of chromodomain protein binding lysine methylated histone H3 tail can be seen as a typical host–guest system between protein and protein. About 10‐ns molecular dynamics simulations have been carried out in this study to examine how the presence of mono‐, trimethylated lysine 9 histone H3 tail (Me1K9, Me3K9 H3) influences the motions of HP1 protein receptor. The study shows that the conformation of HP1 protein free of H3 tail easily changes, whereas that of HP1 protein bound to methylated H3 tail does not. But the conformation of inserted Me1K9 H3 changes obviously as the Me1K recognition makes hydrogen‐bonded interactions associated with the aromatic cage even more unstable than those in free HP1 protein. The conformational change of Me1K9 H3 is correlated with the motions of HP1 protein. As the recognition factor going from Me1K to Me3K produces a more favorable interaction for aromatic ring, hydrogen‐bonded interactions associated with aromatic cage in Me3K9 H3‐HP1 complex were observed to be much more stable than those in Me1K9 H3‐HP1 complex and free HP1. Because of correlation, the flexibility of Me3K9 H3 decreases. The simulations indicate that both the MeK and the surrounding histone tail sequence are necessary features of recognition which significantly affect the flexibility and backbone motions of HP1 chromodomain. These findings confirm a regulatory mechanism of protein–protein interactions through a trimethylated post‐translational modification. © 2008 Wiley Periodicals, Inc. Int J Quantum Chem, 2009