Methyl dynamics in crystalline amino acids: MD and NMR

Correlation times for rotation of deuterated methyls in crystalline leucine, valine, and cyclo‐L‐alanyl‐L‐alanine are calculated with molecular dynamics and compared with NMR data. The simulations distinguish between methyls having different steric environments in the crystal, yielding correlation times differing by a factor of up to 30 for methyls within a given crystal. MD and NMR correlation times agree to within a factor of 2. However, averaging over nonequivalent methyls can yield correlation functions that, although actually multiexponential, are well fit by single exponentials. This may have significance for interpreting NMR data; previous NMR data did not distinguish between the methyls in these crystals. Adiabatic rotational barriers calculated with the X‐ray structure differ from effective barriers during simulation by up to ±1 kcal/mol; the difference indicates that dynamical effects have a significant role in determining rotational correlation times. © 2003 Wiley Periodicals, Inc. J Comput Chem 24: 1052–1058, 2003

[1]  Bernard R. Brooks,et al.  Molecular Dynamics of Staphylococcal Nuclease: Comparison of Simulation with 15N and 13C NMR Relaxation Data , 1998 .

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

[3]  Comparison of the 13C relaxation times and proton scalar couplings of BPTI with values predicted by molecular dynamics. , 1994, Journal of magnetic resonance. Series B.

[4]  R. R. Ernst,et al.  A Protocol for the Interpretation of Side-Chain Dynamics Based on NMR Relaxation: Application to Phenylalanines in Antamanide , 1997 .

[5]  E. R. Andrew,et al.  Proton magnetic relaxation and molecular motion in polycrystalline amino acids: I. Aspartic acid, cystine, glycine, histidine, serine, tryptophan and tyrosine , 1976 .

[6]  Paul C. Driscoll,et al.  Deviations from the simple two-parameter model-free approach to the interpretation of nitrogen-15 nuclear magnetic relaxation of proteins , 1990 .

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

[8]  Joshua S. Figueroa,et al.  1H nuclear magnetic resonance spin-lattice relaxation, 13C magic-angle-spinning nuclear magnetic resonance spectroscopy, differential scanning calorimetry, and x-ray diffraction of two polymorphs of 2,6-di-tert-butylnaphthalene , 2000 .

[9]  H. S. Gutowsky,et al.  Nuclear magnetic resonance studies of amino acids and proteins. Deuterium nuclear magnetic resonance relaxation of deuteriomethyl-labeled amino acids in crystals and in Halobacterium halobium and Escherichia coli cell membranes. , 1984, Biochemistry.

[10]  C. Dobson,et al.  Comparison of MD simulations and NMR experiments for hen lysozyme. Analysis of local fluctuations, cooperative motions, and global changes. , 1995, Biochemistry.

[11]  D. Shortle,et al.  Backbone dynamics of a highly disordered 131 residue fragment of staphylococcal nuclease. , 1994, Journal of molecular biology.

[12]  L. Kay,et al.  Comparison of the backbone dynamics of a folded and an unfolded SH3 domain existing in equilibrium in aqueous buffer. , 1995, Biochemistry.

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

[14]  M. Philippopoulos,et al.  Molecular dynamics simulation of E. coli ribonuclease H1 in solution: correlation with NMR and X-ray data and insights into biological function. , 1995, Journal of molecular biology.

[15]  R Brüschweiler,et al.  Conformational backbone dynamics of the cyclic decapeptide antamanide. Application of a new multiconformational search algorithm based on NMR data. , 1993, Biochemistry.

[16]  L. Kay,et al.  Protein Dynamics as Studied by Solution NMR Techniques , 1996 .

[17]  L. Kay,et al.  Backbone dynamics of proteins as studied by 15N inverse detected heteronuclear NMR spectroscopy: application to staphylococcal nuclease. , 1989, Biochemistry.

[18]  M. Karplus,et al.  Conjugate peak refinement: an algorithm for finding reaction paths and accurate transition states in systems with many degrees of freedom , 1992 .

[19]  S. Opella,et al.  Phenylalanine ring dynamics by solid-state deuterium NMR , 1981 .

[20]  E. Sletten Conformation of cyclic dipeptides. The crystal and molecular structures of cyclo-D-alanyl-L-alanyl and cyclo-L-alanyl-L-alanyl (3,6-dimethylpiperazine-2,5-dione) , 1970 .

[21]  M. D. Kemple,et al.  Comparison of 15N- and 13C-determined parameters of mobility in melittin , 1998, Journal of biomolecular NMR.

[22]  D. Case,et al.  Molecular Dynamics Analysis of NMR Relaxation in a Zinc-Finger Peptide , 1992 .

[23]  William H. Press,et al.  Numerical Recipes: FORTRAN , 1988 .

[24]  P. Wright,et al.  Intramolecular motions of a zinc finger DNA-binding domain from Xfin characterized by proton-detected natural abundance carbon-13 heteronuclear NMR spectroscopy , 1991 .

[25]  Y. Iitaka,et al.  The crystal structure of L-valine. , 1970, Acta crystallographica. Section B: Structural crystallography and crystal chemistry.

[26]  E. R. Andrew,et al.  Proton magnetic relaxation and molecular motion in polycrystalline amino acids , 1977 .

[27]  L. Kay,et al.  Contributions to protein entropy and heat capacity from bond vector motions measured by NMR spin relaxation. , 1997, Journal of molecular biology.

[28]  E. R. Andrew,et al.  Proton magnetic relaxation and molecular motion in polycrystalline amino acids: II. Alanine, isoleucine, leucine, methionine, norleucine, threonine and valine , 1976 .

[29]  Sergio E. Wong,et al.  Methyl Motional Parameters in Crystalline l-Alanine: Molecular Dynamics Simulation and NMR , 2000 .

[30]  A. Gronenborn,et al.  Analysis of the backbone dynamics of interleukin-1.beta. using two-dimensional inverse detected heteronuclear nitrogen-15-proton NMR spectroscopy , 1990 .

[31]  D. M. Schneider,et al.  Fast internal main-chain dynamics of human ubiquitin. , 1992, Biochemistry.

[32]  N. Wolff,et al.  Internal motion time scales of a small, highly stable and disulfide-rich protein: A 15N, 13C NMR and molecular dynamics study , 1999, Journal of biomolecular NMR.

[33]  Arthur G. Palmer,et al.  NMR order parameters and free energy: an analytical approach and its application to cooperative calcium(2+) binding by calbindin D9k , 1993 .

[34]  Alexander D. MacKerell,et al.  All-atom empirical potential for molecular modeling and dynamics studies of proteins. , 1998, The journal of physical chemistry. B.

[35]  T. Darden,et al.  A smooth particle mesh Ewald method , 1995 .

[36]  D. Torchia,et al.  Methyl reorientation in polycrystalline amino acids and peptides: a deuteron NMR spin-lattice relaxation study , 1983 .

[37]  C. Dobson,et al.  Structural determinants of protein dynamics: analysis of 15N NMR relaxation measurements for main-chain and side-chain nuclei of hen egg white lysozyme. , 1995, Biochemistry.

[38]  H. Kessler,et al.  The solution structure and dynamics of human neutrophil gelatinase-associated lipocalin. , 1999, Journal of molecular biology.

[39]  Ronald M. Levy,et al.  NMR relaxation parameters in molecules with internal motion: exact Langevin trajectory results compared with simplified relaxation models , 1981 .

[40]  A J Wand,et al.  Insights into the local residual entropy of proteins provided by NMR relaxation , 1996, Protein science : a publication of the Protein Society.

[41]  L. Kay,et al.  Contributions to conformational entropy arising from bond vector fluctuations measured from NMR-derived order parameters: application to protein folding. , 1996, Journal of molecular biology.

[42]  L. Nilsson,et al.  A comparison of 15N NMR relaxation measurements with a molecular dynamics simulation: Backbone dynamics of the glucocorticoid receptor DNA‐binding domain , 1993, Proteins.

[43]  NMR spectroscopy and its application to biomedical research , 1996 .

[44]  T. Darden,et al.  Particle mesh Ewald: An N⋅log(N) method for Ewald sums in large systems , 1993 .

[45]  Bernard R. Brooks,et al.  New spherical‐cutoff methods for long‐range forces in macromolecular simulation , 1994, J. Comput. Chem..

[46]  M. Oobatake,et al.  Characterization of the internal motions of Escherichia coli ribonuclease HI by a combination of 15N-NMR relaxation analysis and molecular dynamics simulation: examination of dynamic models. , 1995, Biochemistry.

[47]  M. Karplus,et al.  Influence of rapid intramolecular motion on NMR cross-relaxation rates. A molecular dynamics study of antamanide in solution , 1992 .

[48]  B. Brooks,et al.  A 500 ps molecular dynamics simulation study of interleukin-1 beta in water. Correlation with nuclear magnetic resonance spectroscopy and crystallography. , 1992, Journal of molecular biology.

[49]  Roland L. Dunbrack,et al.  Molecular dynamics simulation of the proline conformational equilibrium and dynamics in antamanide using the CHARMM force field , 1993 .