Integrated description of protein dynamics from room-temperature X-ray crystallography and NMR

Significance Most proteins are inherently flexible and their dynamics play a central role in their biological functions. A molecular level understanding of protein function and mechanism requires an accurate description of the atomic coordinates in both time and space. Here we show, through studies of the enzyme dihydrofolate reductase, that multiconformer models derived from room-temperature X-ray crystallographic data can be used synergistically with nuclear magnetic resonance relaxation measurements to provide a detailed description of both the amplitude and timescale of fluctuations in atomic coordinates. This hybrid approach provides a more complete description of protein dynamics than can be obtained from either method alone. The room-temperature crystallographic ensemble accurately reflects the picosecond–nanosecond motions of the protein backbone and side chains. Detailed descriptions of atomic coordinates and motions are required for an understanding of protein dynamics and their relation to molecular recognition, catalytic function, and allostery. Historically, NMR relaxation measurements have played a dominant role in the determination of the amplitudes and timescales (picosecond–nanosecond) of bond vector fluctuations, whereas high-resolution X-ray diffraction experiments can reveal the presence of and provide atomic coordinates for multiple, weakly populated substates in the protein conformational ensemble. Here we report a hybrid NMR and X-ray crystallography analysis that provides a more complete dynamic picture and a more quantitative description of the timescale and amplitude of fluctuations in atomic coordinates than is obtainable from the individual methods alone. Order parameters (S2) were calculated from single-conformer and multiconformer models fitted to room temperature and cryogenic X-ray diffraction data for dihydrofolate reductase. Backbone and side-chain order parameters derived from NMR relaxation experiments are in excellent agreement with those calculated from the room-temperature single-conformer and multiconformer models, showing that the picosecond timescale motions observed in solution occur also in the crystalline state. These motions are quenched in the crystal at cryogenic temperatures. The combination of NMR and X-ray crystallography in iterative refinement promises to provide an atomic resolution description of the alternate conformational substates that are sampled through picosecond to nanosecond timescale fluctuations of the protein structure. The method also provides insights into the structural heterogeneity of nonmethyl side chains, aromatic residues, and ligands, which are less commonly analyzed by NMR relaxation measurements.

[1]  Rafael Brüschweiler,et al.  Identification of slow correlated motions in proteins using residual dipolar and hydrogen-bond scalar couplings. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[2]  D. Boehr,et al.  The Dynamic Energy Landscape of Dihydrofolate Reductase Catalysis , 2006, Science.

[3]  Protein side-chain dynamics as observed by solution- and solid-state NMR spectroscopy: a similarity revealed. , 2008, Journal of the American Chemical Society.

[4]  L. Kay,et al.  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. , 2002, Journal of the American Chemical Society.

[5]  A. Szabó,et al.  Model-free approach to the interpretation of nuclear magnetic resonance relaxation in macromolecules. 1. Theory and range of validity , 1982 .

[6]  Andrew L. Lee,et al.  Relating side-chain mobility in proteins to rotameric transitions: Insights from molecular dynamics simulations and NMR , 2005, Journal of biomolecular NMR.

[7]  D. Kern,et al.  Hidden alternate structures of proline isomerase essential for catalysis , 2010 .

[8]  W. R. Busing,et al.  The effect of thermal motion on the estimation of bond lengths from diffraction measurements , 1964 .

[9]  Z. Xiang,et al.  On the role of the crystal environment in determining protein side-chain conformations. , 2002, Journal of molecular biology.

[10]  L. Gierasch,et al.  Simultaneous Characterization of the Amide 1H Chemical Shift, 1H-15N Dipolar, and 15N Chemical Shift Interaction Tensors in a Peptide Bond by Three-Dimensional Solid-State NMR Spectroscopy , 1995 .

[11]  Rafael Brüschweiler,et al.  Prediction of methyl-side Chain Dynamics in Proteins , 2004, Journal of biomolecular NMR.

[12]  Rafael Brüschweiler,et al.  All-atom contact model for understanding protein dynamics from crystallographic B-factors. , 2009, Biophysical journal.

[13]  G. Phillips,et al.  Dynamics of proteins in crystals: comparison of experiment with simple models. , 2002, Biophysical journal.

[14]  B. Halle Biomolecular cryocrystallography: structural changes during flash-cooling. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[15]  G A Petsko,et al.  Fluctuations in protein structure from X-ray diffraction. , 1984, Annual review of biophysics and bioengineering.

[16]  G. Lipari Model-free approach to the interpretation of nuclear magnetic resonance relaxation in macromolecules , 1982 .

[17]  P. Wright,et al.  NMR Order Parameters of Biomolecules: A New Analytical Representation and Application to the Gaussian Axial Fluctuation Model , 1994 .

[18]  E. Henry,et al.  Influence of vibrational motion on solid state line shapes and NMR relaxation , 1985 .

[19]  B. Reif,et al.  Internal protein dynamics on ps to μs timescales as studied by multi-frequency 15N solid-state NMR relaxation , 2013, Journal of Biomolecular NMR.

[20]  A. Bax,et al.  Measurement of Proton, Nitrogen, and Carbonyl Chemical Shielding Anisotropies in a Protein Dissolved in a Dilute Liquid Crystalline Phase , 2000 .

[21]  G. Petsko,et al.  Conformational substates in a protein: structure and dynamics of metmyoglobin at 80 K. , 1982, Proceedings of the National Academy of Sciences of the United States of America.

[22]  H. V. D. Bedem,et al.  Automated identification of functional dynamic contact networks from X-ray crystallography , 2013 .

[23]  H. Dyson,et al.  Side-chain conformational heterogeneity of intermediates in the Escherichia coli dihydrofolate reductase catalytic cycle. , 2013, Biochemistry.

[24]  G. Clore,et al.  Concordance of residual dipolar couplings, backbone order parameters and crystallographic B-factors for a small alpha/beta protein: a unified picture of high probability, fast atomic motions in proteins. , 2006, Journal of molecular biology.

[25]  Peter E Wright,et al.  Effect of cofactor binding and loop conformation on side chain methyl dynamics in dihydrofolate reductase. , 2004, Biochemistry.

[26]  Rafael Brüschweiler,et al.  LOCALLY ANISOTROPIC INTERNAL POLYPEPTIDE BACKBONE DYNAMICS BY NMR RELAXATION , 1997 .

[27]  Nathaniel Echols,et al.  Accessing protein conformational ensembles using room-temperature X-ray crystallography , 2011, Proceedings of the National Academy of Sciences.

[28]  I. Bahar,et al.  Structure‐based analysis of protein dynamics: Comparison of theoretical results for hen lysozyme with X‐ray diffraction and NMR relaxation data , 1999, Proteins.

[29]  G L Gilliland,et al.  Combining experimental information from crystal and solution studies: joint X-ray and NMR refinement. , 1992, Science.

[30]  R. Nussinov,et al.  Is allostery an intrinsic property of all dynamic proteins? , 2004, Proteins.

[31]  X. Salvatella,et al.  Weak Long-Range Correlated Motions in a Surface Patch of Ubiquitin Involved in Molecular Recognition , 2011, Journal of the American Chemical Society.

[32]  P. Wolynes,et al.  The energy landscapes and motions of proteins. , 1991, Science.

[33]  M Karplus,et al.  The energetics of off-rotamer protein side-chain conformations. , 2001, Journal of molecular biology.

[34]  R Diamond,et al.  On the use of normal modes in thermal parameter refinement: theory and application to the bovine pancreatic trypsin inhibitor. , 1990, Acta crystallographica. Section A, Foundations of crystallography.

[35]  L. Kay,et al.  Intrinsic dynamics of an enzyme underlies catalysis , 2005, Nature.

[36]  García,et al.  Large-amplitude nonlinear motions in proteins. , 1992, Physical review letters.

[37]  Amplitudes and time scales of picosecond-to-microsecond motion in proteins studied by solid-state NMR: a critical evaluation of experimental approaches and application to crystalline ubiquitin , 2013, Journal of biomolecular NMR.

[38]  L. Kay,et al.  Deuterium spin probes of side-chain dynamics in proteins. 2. Spectral density mapping and identification of nanosecond time-scale side-chain motions. , 2002, Journal of the American Chemical Society.

[39]  Oliver F. Lange,et al.  Recognition Dynamics Up to Microseconds Revealed from an RDC-Derived Ubiquitin Ensemble in Solution , 2008, Science.

[40]  S. Opella,et al.  Magnitudes and Orientations of the Principal Elements of the 1H Chemical Shift, 1H−15N Dipolar Coupling, and 15N Chemical Shift Interaction Tensors in 15Nε1-Tryptophan and 15Nπ-Histidine Side Chains Determined by Three-Dimensional Solid-State NMR Spectroscopy of Polycrystalline Samples , 1997 .

[41]  Peter Güntert,et al.  Spatial elucidation of motion in proteins by ensemble-based structure calculation using exact NOEs , 2012, Nature Structural &Molecular Biology.

[42]  Thomas C Terwilliger,et al.  Improved crystallographic structures using extensive combinatorial refinement. , 2013, Structure.

[43]  G T Montelione,et al.  Crankshaft motions of the polypeptide backbone in molecular dynamics simulations of human type-α transforming growth factor , 1995, Journal of biomolecular NMR.

[44]  Axel T. Brunger,et al.  X-ray crystallography and NMR reveal complementary views of structure and dynamics. , 1997 .

[45]  M Karplus,et al.  Effect of anisotropy and anharmonicity on protein crystallographic refinement. An evaluation by molecular dynamics. , 1986, Journal of molecular biology.

[46]  M. DePristo,et al.  Relation between native ensembles and experimental structures of proteins. , 2006, Proceedings of the National Academy of Sciences of the United States of America.

[47]  R. Jernigan,et al.  Anisotropy of fluctuation dynamics of proteins with an elastic network model. , 2001, Biophysical journal.

[48]  A. Sokolov,et al.  Dynamics in protein powders on the nanosecond-picosecond time scale are dominated by localized motions. , 2013, The journal of physical chemistry. B.

[49]  L. Kay,et al.  Dynamics of methyl groups in proteins as studied by proton-detected 13C NMR spectroscopy. Application to the leucine residues of staphylococcal nuclease. , 1992, Biochemistry.

[50]  D. Jacobs,et al.  Protein flexibility predictions using graph theory , 2001, Proteins.

[51]  Ankur Dhanik,et al.  Modeling discrete heterogeneity in X-ray diffraction data by fitting multi-conformers. , 2009, Acta crystallographica. Section D, Biological crystallography.

[52]  Paul D Adams,et al.  Modelling dynamics in protein crystal structures by ensemble refinement , 2012, eLife.

[53]  B. Reif,et al.  Protein side-chain dynamics observed by solution- and solid-state NMR: comparative analysis of methyl 2H relaxation data. , 2006, Journal of the American Chemical Society.

[54]  Rafael Brüschweiler,et al.  Contact model for the prediction of NMR N-H order parameters in globular proteins. , 2002, Journal of the American Chemical Society.

[55]  Patrice Koehl,et al.  Calculation of nuclear magnetic resonance order parameters in proteins by normal mode analysis , 1996 .

[56]  Roland L. Dunbrack,et al.  A smoothed backbone-dependent rotamer library for proteins derived from adaptive kernel density estimates and regressions. , 2011, Structure.

[57]  P E Wright,et al.  Backbone dynamics in dihydrofolate reductase complexes: role of loop flexibility in the catalytic mechanism. , 2001, Biochemistry.

[58]  Dennis Sherwood,et al.  Crystals, X-rays, and proteins , 1976 .

[59]  B. Halle,et al.  Flexibility and packing in proteins , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[60]  Robert Powers,et al.  Relationships between the precision of high-resolution protein NMR structures, solution-order parameters, and crystallographic B factors , 1993 .

[61]  R. Huber,et al.  Simultaneous refinement of the structure of BPTI against NMR data measured in solution and X-ray diffraction data measured in single crystals. , 1994, Journal of molecular biology.

[62]  G. Petsko,et al.  Effects of temperature on protein structure and dynamics: X-ray crystallographic studies of the protein ribonuclease-A at nine different temperatures from 98 to 320 K. , 1993, Biochemistry.

[63]  Brian D. Sykes,et al.  Measurement of 2H T1 and T1.rho. Relaxation Times in Uniformly 13C-Labeled and Fractionally 2H-Labeled Proteins in Solution , 1995 .