Refinement of docked protein–ligand and protein–DNA structures using low frequency normal mode amplitude optimization

Prediction of structural changes resulting from complex formation, both in ligands and receptors, is an important and unsolved problem in structural biology. In this work, we use all-atom normal modes calculated with the Elastic Network Model as a basis set to model structural flexibility during formation of macromolecular complexes and refine the non-bonded intermolecular energy between the two partners (protein–ligand or protein–DNA) along 5–10 of the lowest frequency normal mode directions. The method handles motions unrelated to the docking transparently by first applying the modes that improve non-bonded energy most and optionally restraining amplitudes; in addition, the method can correct small errors in the ligand position when the first six rigid-body modes are switched on. For a test set of six protein receptors that show an open-to-close transition when binding small ligands, our refinement scheme reduces the protein coordinate cRMS by 0.3–3.2 Å. For two test cases of DNA structures interacting with proteins, the program correctly refines the docked B-DNA starting form into the expected bent DNA, reducing the DNA cRMS from 8.4 to 4.8 Å and from 8.7 to 5.4 Å, respectively. A public web server implementation of the refinement method is available at .

[1]  J. Frank,et al.  Dynamic reorganization of the functionally active ribosome explored by normal mode analysis and cryo-electron microscopy , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[2]  Martin Zacharias,et al.  Rapid protein–ligand docking using soft modes from molecular dynamics simulations to account for protein deformability: Binding of FK506 to FKBP , 2004, Proteins.

[3]  David Baker,et al.  Protein Structure Prediction Using Rosetta , 2004, Numerical Computer Methods, Part D.

[4]  M. Delarue,et al.  Simplified normal mode analysis of conformational transitions in DNA-dependent polymerases: the elastic network model. , 2002, Journal of molecular biology.

[5]  M. Levitt Protein folding by restrained energy minimization and molecular dynamics. , 1983, Journal of molecular biology.

[6]  P. Koehl,et al.  Polar and nonpolar atomic environments in the protein core: Implications for folding and binding , 1994, Proteins.

[7]  K. Hinsen Analysis of domain motions by approximate normal mode calculations , 1998, Proteins.

[8]  T. A. Jones,et al.  Databases in protein crystallography. , 1998, Acta crystallographica. Section D, Biological crystallography.

[9]  Jens Meiler,et al.  Rosetta predictions in CASP5: Successes, failures, and prospects for complete automation , 2003, Proteins.

[10]  M. Sternberg,et al.  Prediction of protein-protein interactions by docking methods. , 2002, Current opinion in structural biology.

[11]  Mark Gerstein,et al.  Normal mode analysis of macromolecular motions in a database framework: Developing mode concentration as a useful classifying statistic , 2002, Proteins.

[12]  Ceslovas Venclovas,et al.  Assessment of progress over the CASP experiments , 2003, Proteins.

[13]  C. Brooks,et al.  Generation of native-like protein structures from limited NMR data, modern force fields and advanced conformational sampling , 2005, Journal of biomolecular NMR.

[14]  A. Atilgan,et al.  Direct evaluation of thermal fluctuations in proteins using a single-parameter harmonic potential. , 1997, Folding & design.

[15]  David Baker,et al.  Improvement of comparative model accuracy by free-energy optimization along principal components of natural structural variation. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[16]  Sandor Vajda,et al.  CAPRI: A Critical Assessment of PRedicted Interactions , 2003, Proteins.

[17]  Thomas Lengauer,et al.  FlexE: efficient molecular docking considering protein structure variations. , 2001, Journal of molecular biology.

[18]  J. M. Davies,et al.  Conformational changes of p97 during nucleotide hydrolysis determined by small-angle X-Ray scattering. , 2005, Structure.

[19]  Ruth Nussinov,et al.  Principles of docking: An overview of search algorithms and a guide to scoring functions , 2002, Proteins.

[20]  Y. Sanejouand,et al.  Hinge‐bending motion in citrate synthase arising from normal mode calculations , 1995, Proteins.

[21]  M. Gerstein,et al.  A database of macromolecular motions. , 1998, Nucleic acids research.

[22]  Jianpeng Ma,et al.  A normal mode analysis of structural plasticity in the biomolecular motor F(1)-ATPase. , 2004, Journal of molecular biology.

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

[24]  Y. Sanejouand,et al.  Conformational change of proteins arising from normal mode calculations. , 2001, Protein engineering.

[25]  Isabella Daidone,et al.  Investigating the accessibility of the closed domain conformation of citrate synthase using essential dynamics sampling. , 2004, Journal of molecular biology.

[26]  Claudio N. Cavasotto,et al.  Protein flexibility in ligand docking and virtual screening to protein kinases. , 2004, Journal of molecular biology.

[27]  Daisuke Kihara,et al.  TOUCHSTONE: A unified approach to protein structure prediction , 2003, Proteins.

[28]  Hao Fan,et al.  Refinement of homology‐based protein structures by molecular dynamics simulation techniques , 2004, Protein science : a publication of the Protein Society.

[29]  Heinz Sklenar,et al.  Harmonic modes as variables to approximately account for receptor flexibility in ligand-receptor docking simulations: Application to DNA minor groove ligand complex , 1999, J. Comput. Chem..

[30]  Hui Lu,et al.  Application of statistical potentials to protein structure refinement from low resolution ab initio models , 2003, Biopolymers.

[31]  Steven Hayward,et al.  Identification of specific interactions that drive ligand-induced closure in five enzymes with classic domain movements. , 2004, Journal of molecular biology.

[32]  A. D. McLachlan,et al.  Solvation energy in protein folding and binding , 1986, Nature.

[33]  M. Delarue,et al.  On the use of low-frequency normal modes to enforce collective movements in refining macromolecular structural models. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[34]  J. Janin The kinetics of protein‐protein recognition , 1997, Proteins.

[35]  N. Go,et al.  Dynamics of a small globular protein in terms of low-frequency vibrational modes. , 1983, Proceedings of the National Academy of Sciences of the United States of America.

[36]  H. Berendsen,et al.  Model‐free methods of analyzing domain motions in proteins from simulation: A comparison of normal mode analysis and molecular dynamics simulation of lysozyme , 1997, Proteins.

[37]  A. Valencia,et al.  Computational methods for the prediction of protein interactions. , 2002, Current opinion in structural biology.

[38]  Nikolaus Grigorieff,et al.  Low-resolution structure refinement in electron microscopy. , 2003, Journal of structural biology.

[39]  Karsten Suhre,et al.  On the potential of normal-mode analysis for solving difficult molecular-replacement problems. , 2004, Acta crystallographica. Section D, Biological crystallography.

[40]  S. Wodak,et al.  Assessment of blind predictions of protein–protein interactions: Current status of docking methods , 2003, Proteins.

[41]  D. Baker,et al.  Molecular dynamics in the endgame of protein structure prediction. , 2001, Journal of molecular biology.

[42]  S. Teague Implications of protein flexibility for drug discovery , 2003, Nature Reviews Drug Discovery.

[43]  Y. Sanejouand,et al.  Building‐block approach for determining low‐frequency normal modes of macromolecules , 2000, Proteins.

[44]  M. Karplus,et al.  Harmonic dynamics of proteins: normal modes and fluctuations in bovine pancreatic trypsin inhibitor. , 1983, Proceedings of the National Academy of Sciences of the United States of America.

[45]  R. Friesner,et al.  Evaluation and Reparametrization of the OPLS-AA Force Field for Proteins via Comparison with Accurate Quantum Chemical Calculations on Peptides† , 2001 .

[46]  F. Tama,et al.  Normal mode based flexible fitting of high-resolution structure into low-resolution experimental data from cryo-EM. , 2004, Journal of structural biology.

[47]  Zhiping Weng,et al.  A protein–protein docking benchmark , 2003, Proteins.

[48]  J. Thornton,et al.  Conformational changes observed in enzyme crystal structures upon substrate binding. , 2005, Journal of molecular biology.

[49]  Florence Tama,et al.  The mechanism and pathway of pH induced swelling in cowpea chlorotic mottle virus. , 2002, Journal of molecular biology.

[50]  Berk Hess,et al.  GROMACS 3.0: a package for molecular simulation and trajectory analysis , 2001 .

[51]  A. Brünger Free R value: a novel statistical quantity for assessing the accuracy of crystal structures , 1992, Nature.

[52]  Shoshana J Wodak,et al.  Prediction of protein-protein interactions: the CAPRI experiment, its evaluation and implications. , 2004, Current opinion in structural biology.

[53]  A. D. McLachlan,et al.  Rapid comparison of protein structures , 1982 .

[54]  Jorge Nocedal,et al.  A Limited Memory Algorithm for Bound Constrained Optimization , 1995, SIAM J. Sci. Comput..

[55]  D. Koshland,et al.  CORRELATION OF STRUCTURE AND FUNCTION IN ENZYME ACTION. , 1963, Science.

[56]  Rebecca C. Wade,et al.  Protein‐Protein Docking , 2001 .

[57]  Chao Yang,et al.  ARPACK users' guide - solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods , 1998, Software, environments, tools.

[58]  A. W. Schüttelkopf,et al.  PRODRG: a tool for high-throughput crystallography of protein-ligand complexes. , 2004, Acta crystallographica. Section D, Biological crystallography.

[59]  Anna Tramontano,et al.  Assessment of homology‐based predictions in CASP5 , 2003, Proteins.

[60]  P. Kollman,et al.  A well-behaved electrostatic potential-based method using charge restraints for deriving atomic char , 1993 .

[61]  Y. Sanejouand,et al.  A new approach for determining low‐frequency normal modes in macromolecules , 1994 .

[62]  M. Karplus,et al.  CHARMM: A program for macromolecular energy, minimization, and dynamics calculations , 1983 .

[63]  Tirion,et al.  Large Amplitude Elastic Motions in Proteins from a Single-Parameter, Atomic Analysis. , 1996, Physical review letters.

[64]  M. Levitt,et al.  Protein normal-mode dynamics: trypsin inhibitor, crambin, ribonuclease and lysozyme. , 1985, Journal of molecular biology.

[65]  M. Gerstein,et al.  Conformational changes associated with protein-protein interactions. , 2004, Current opinion in structural biology.

[66]  Mark Gerstein,et al.  MolMovDB: analysis and visualization of conformational change and structural flexibility , 2003, Nucleic Acids Res..

[67]  S. Harrison,et al.  Determining the structure of an unliganded and fully glycosylated SIV gp120 envelope glycoprotein. , 2005, Structure.

[68]  Konrad Hinsen,et al.  Normal mode-based fitting of atomic structure into electron density maps: application to sarcoplasmic reticulum Ca-ATPase. , 2005, Biophysical journal.