Measuring and modeling diffuse scattering in protein X-ray crystallography

Significance The structural details of protein motions are critical to understanding many biological processes, but they are often hidden to conventional biophysical techniques. Diffuse X-ray scattering can reveal details of the correlated movements between atoms; however, the data collection historically has required extra effort and dedicated experimental protocols. We have measured 3D diffuse intensities in X-ray diffraction from CypA and trypsin crystals using standard crystallographic data collection techniques. Analysis of the resulting data is consistent with the protein motions resembling diffusion in a liquid or vibrations of a soft solid. Our results show that using diffuse scattering to model protein motions can become a component of routine crystallographic analysis through the extension of commonplace methods. X-ray diffraction has the potential to provide rich information about the structural dynamics of macromolecules. To realize this potential, both Bragg scattering, which is currently used to derive macromolecular structures, and diffuse scattering, which reports on correlations in charge density variations, must be measured. Until now, measurement of diffuse scattering from protein crystals has been scarce because of the extra effort of collecting diffuse data. Here, we present 3D measurements of diffuse intensity collected from crystals of the enzymes cyclophilin A and trypsin. The measurements were obtained from the same X-ray diffraction images as the Bragg data, using best practices for standard data collection. To model the underlying dynamics in a practical way that could be used during structure refinement, we tested translation–libration–screw (TLS), liquid-like motions (LLM), and coarse-grained normal-modes (NM) models of protein motions. The LLM model provides a global picture of motions and was refined against the diffuse data, whereas the TLS and NM models provide more detailed and distinct descriptions of atom displacements, and only used information from the Bragg data. Whereas different TLS groupings yielded similar Bragg intensities, they yielded different diffuse intensities, none of which agreed well with the data. In contrast, both the LLM and NM models agreed substantially with the diffuse data. These results demonstrate a realistic path to increase the number of diffuse datasets available to the wider biosciences community and indicate that dynamics-inspired NM structural models can simultaneously agree with both Bragg and diffuse scattering.

[1]  Nicholas K. Sauter,et al.  dxtbx: the diffraction experiment toolbox , 2013, Journal of applied crystallography.

[2]  N Go,et al.  Dynamic structure of human lysozyme derived from X-ray crystallography: normal mode refinement. , 1994, Biophysical chemistry.

[3]  André Guinier,et al.  X-ray Crystallography. (Book Reviews: X-Ray Diffraction in Crystals, Imperfect Crystals, and Amorphous Bodies) , 1963 .

[4]  Jianpeng Ma,et al.  Application of normal-mode refinement to X-ray crystal structures at the lower resolution limit , 2009, Acta crystallographica. Section D, Biological crystallography.

[5]  Jeremy C Smith,et al.  Correlated dynamics determining x-ray diffuse scattering from a crystalline protein revealed by molecular dynamics simulation. , 2005, Physical review letters.

[6]  Nicholas K. Sauter,et al.  The Computational Crystallography Toolbox: crystallographic algorithms in a reusable software framework , 2002 .

[7]  J. Clarage,et al.  Liquid-like movements in crystalline insulin , 1988, Nature.

[8]  Mark A. Wilson,et al.  Visualizing networks of mobility in proteins , 2013, Nature Methods.

[9]  Jeremy C. Smith,et al.  Fluctuations and correlations in crystalline protein dynamics: a simulation analysis of staphylococcal nuclease. , 2005, Biophysical journal.

[10]  Jeremy C. Smith,et al.  Protein dynamics from X‐ray crystallography: Anisotropic, global motion in diffuse scattering patterns , 2006, Proteins.

[11]  K. N. Trueblood,et al.  On the rigid-body motion of molecules in crystals , 1968 .

[12]  N Go,et al.  Collective motions in proteins investigated by X‐ray diffuse scattering , 1994, Proteins.

[13]  Michael E Wall Methods and software for diffuse X-ray scattering from protein crystals. , 2009, Methods in molecular biology.

[14]  Henry van den Bedem,et al.  Exposing Hidden Alternative Backbone Conformations in X-ray Crystallography Using qFit , 2015, bioRxiv.

[15]  P. Zwart,et al.  Towards automated crystallographic structure refinement with phenix.refine , 2012, Acta crystallographica. Section D, Biological crystallography.

[16]  P. Moore,et al.  On the relationship between diffraction patterns and motions in macromolecular crystals. , 2009, Structure.

[17]  Reginald W. James,et al.  The Optical principles of the diffraction of X-rays , 1948 .

[18]  Zbigniew Dauter,et al.  On the reproducibility of protein crystal structures: five atomic resolution structures of trypsin. , 2013, Acta crystallographica. Section D, Biological crystallography.

[19]  Graeme Winter,et al.  Decision making in xia2 , 2013, Acta crystallographica. Section D, Biological crystallography.

[20]  Sol M. Gruner X-ray imaging detectors , 2012 .

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

[22]  I. Bahar,et al.  Global dynamics of proteins: bridging between structure and function. , 2010, Annual review of biophysics.

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

[24]  Jeremy C. Smith,et al.  X-ray diffuse scattering and rigid-body motion in crystalline lysozyme probed by molecular dynamics simulation. , 1998, Journal of molecular biology.

[25]  Randy J. Read,et al.  Phaser crystallographic software , 2007, Journal of applied crystallography.

[26]  Jeremy C. Smith,et al.  Correlated intramolecular motions and diffuse x–ray scattering in lysozyme , 1994, Nature Structural Biology.

[27]  David S Cerutti,et al.  Peptide crystal simulations reveal hidden dynamics. , 2013, Journal of the American Chemical Society.

[28]  S M Gruner,et al.  Three-dimensional diffuse x-ray scattering from crystals of Staphylococcal nuclease. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[29]  Jay Painter,et al.  Electronic Reprint Biological Crystallography a Molecular Viewer for the Analysis of Tls Rigid-body Motion in Macromolecules Biological Crystallography a Molecular Viewer for the Analysis of Tls Rigid-body Motion in Macromolecules , 2022 .

[30]  G. Phillips,et al.  Diffuse x-ray scattering from tropomyosin crystals. , 1992, Biophysical journal.

[31]  Pawel A. Janowski,et al.  Molecular dynamics simulation of triclinic lysozyme in a crystal lattice , 2016, Protein science : a publication of the Protein Society.

[32]  R M Sweet,et al.  Correlations of atomic movements in lysozyme crystals , 1992, Proteins.

[33]  Axel T. Brunger,et al.  Thermal Motion and Conformational Disorder in Protein Crystal Structures: Comparison of Multi‐Conformer and Time‐Averaging Models , 1994 .

[34]  A. Kolinski,et al.  Elastic network normal modes provide a basis for protein structure refinement. , 2012, The Journal of chemical physics.

[35]  Jianpeng Ma,et al.  A minimalist network model for coarse-grained normal mode analysis and its application to biomolecular x-ray crystallography , 2008, Proceedings of the National Academy of Sciences.

[36]  G. Phillips,et al.  Cross-validation tests of time-averaged molecular dynamics refinements for determination of protein structures by X-ray crystallography. , 1994, Acta crystallographica. Section D, Biological crystallography.

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

[38]  Michael E. Wall,et al.  Predicting X-ray Diffuse Scattering from Translation Libration Screw Structural Ensembles , 2015 .

[39]  M E Wall,et al.  Motions of calmodulin characterized using both Bragg and diffuse X-ray scattering. , 1997, Structure.

[40]  Franci Merzel,et al.  Lattice dynamics of a protein crystal. , 2007, Physical review letters.

[41]  John Kuriyan,et al.  Exploration of disorder in protein structures by X‐ray restrained molecular dynamics , 1991, Proteins.

[42]  Alexandre Urzhumtsev,et al.  From deep TLS validation to ensembles of atomic models built from elemental motions , 2015, bioRxiv.

[43]  H. N. Chapman,et al.  Imaging Atomic Structure and Dynamics with Ultrafast X-ray Scattering , 2007, Science.

[44]  I. Taylor,et al.  Diffuse scattering resulting from macromolecular frustration. , 2011, Acta crystallographica. Section B, Structural science.

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

[46]  Andrew L. Goodwin,et al.  The crystallography of correlated disorder , 2015, Nature.

[47]  J B Clarage,et al.  Analysis of diffuse scattering from yeast initiator tRNA crystals. , 1994, Acta crystallographica. Section D, Biological crystallography.

[48]  Mark A. Wilson,et al.  Intrinsic motions along an enzymatic reaction trajectory , 2007, Nature.

[49]  G. Phillips,et al.  Motions of tropomyosin. Crystal as metaphor. , 1980, Biophysical journal.

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

[51]  Ivet Bahar,et al.  ProDy: Protein Dynamics Inferred from Theory and Experiments , 2011, Bioinform..

[52]  G. Phillips,et al.  Analysis of diffuse scattering and relation to molecular motion. , 1997, Methods in enzymology.

[53]  Peixiang Ma,et al.  Observing the overall rocking motion of a protein in a crystal , 2015, Nature Communications.

[54]  B M Pettitt,et al.  A sampling problem in molecular dynamics simulations of macromolecules. , 1995, Proceedings of the National Academy of Sciences of the United States of America.

[55]  Jianpeng Ma,et al.  Normal mode refinement of anisotropic thermal parameters for a supramolecular complex at 3.42-Å crystallographic resolution , 2007, Proceedings of the National Academy of Sciences.

[56]  J. Fraser,et al.  Integrative, dynamic structural biology at atomic resolution—it's about time , 2015, Nature Methods.

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

[58]  George N Phillips,et al.  Evaluating elastic network models of crystalline biological molecules with temperature factors, correlated motions, and diffuse x-ray scattering. , 2010, Biophysical journal.

[59]  P. Moore,et al.  Acoustic vibrations contribute to the diffuse scatter produced by ribosome crystals. , 2015, Acta crystallographica. Section D, Biological crystallography.

[60]  Nicholas K Sauter,et al.  Diffuse X-ray scattering to model protein motions. , 2014, Structure.

[61]  Guang Song,et al.  How well can we understand large-scale protein motions using normal modes of elastic network models? , 2007, Biophysical journal.

[62]  Randy J. Read,et al.  Acta Crystallographica Section D Biological , 2003 .

[63]  J. Pérez,et al.  Molecular rigid-body displacements in a tetragonal lysozyme crystal confirmed by X-ray diffuse scattering. , 1996, Acta crystallographica. Section D, Biological crystallography.

[64]  J. Doucet,et al.  Molecular dynamics studied by analysis of the X-ray diffuse scattering from lysozyme crystals , 1987, Nature.

[65]  K Schulten,et al.  VMD: visual molecular dynamics. , 1996, Journal of molecular graphics.

[66]  Axel T Brunger,et al.  Exploring the structural dynamics of the E.coli chaperonin GroEL using translation-libration-screw crystallographic refinement of intermediate states. , 2004, Journal of molecular biology.

[67]  Bojan Zagrovic,et al.  Dynamics May Significantly Influence the Estimation of Interatomic Distances in Biomolecular X-ray Structures , 2011, Journal of molecular biology.

[68]  David S. Moss,et al.  Protein dynamics: use of computer graphics and protein crystal diffuse scattering recorded with synchrotron X-radiation , 1986 .

[69]  Andrew H. Van Benschoten,et al.  Conformational dynamics of a crystalline protein from microsecond-scale molecular dynamics simulations and diffuse X-ray scattering , 2014, Proceedings of the National Academy of Sciences.

[70]  T. Welberry,et al.  Diffuse X-ray Scattering and Models of Disorder , 2004 .

[71]  Jay Painter,et al.  Electronic Reprint Biological Crystallography Optimal Description of a Protein Structure in Terms of Multiple Groups Undergoing Tls Motion Biological Crystallography Optimal Description of a Protein Structure in Terms of Multiple Groups Undergoing Tls Motion , 2005 .