Internal motions of carbohydrates as probed by comparative molecular modeling and nuclear magnetic resonance of ethyl β‐lactoside

The realization that conformational flexibility must be incorporated into the description of the structural and dynamical behavior of carbohydrates has stimulated the quest for an appropriate force field and associated parameterization capable of dealing with the many specific features of these molecules. Accordingly, we set out to evaluate the capacity of very different force fields to reproduce a series of experimental spectral data such as optical rotatory dispersion, coupling constants, and nuclear Overhauser effects. NOESY volumes and long‐range homonuclear and heteronuclear vicinal coupling constants were measured at 400.13 MHz. Optical rotation measurements were also performed on ethyl β‐lactoside. The conformational behavior of ethyl β‐lactoside was investigated in three different molecular mechanics force fields leading to three complete ensembles of theoretical conformations, which were used for evaluating these statistically averaged observables. The calculations of optical rotation followed a recent model based on interacting oscillators. Coupling constants were calculated using the appropriate sets of Karplus‐type equations, and theoretical nuclear magnetic resonance (NMR) relaxation data were obtained for models which account for either slow or fast internal motions. The calculated potential energy surfaces were shown to be dependent on the type of force field, even in the case of such a simple disaccharide. They differ in several respects, including the number and location of low‐energy conformers and the shallowness of the dominant primary region. It was possible to assess the different time‐averaged orientations about the glycosidic linkage of the three force fields from the fit obtained for the interglycosidic heteronuclear coupling constants. Poor fits between theoretical and experimental NOESY volumes were observed for all three force fields when the slow internal motion model was used, while a greatly improved fit was obtained when the fast internal motions model was applied. It has been shown that the motional model established from NOESY data is analogous to the one obtained from molecular dynamics simulations. The quality of the fit for the NOESY data varies with the force fields and corroborates the classification obtained from heteronuclear coupling. © 1995 by John Wiley & Sons, Inc.

[1]  C. A. Duda,et al.  Solution conformation of sucrose from optical rotation , 1991 .

[2]  J. Brady,et al.  A revised potential-energy surface for molecular mechanics studies of carbohydrates. , 1988, Carbohydrate research.

[3]  J. Kroon,et al.  Conformational analysis of methyl beta-cellobioside by ROESY NMR spectroscopy and MD simulations in combination with the CROSREL method. , 1993, Carbohydrate research.

[4]  L. Poppe,et al.  NMR spectroscopy of hydroxyl protons in supercooled carbohydrates , 1994, Nature Structural Biology.

[5]  P. Bennema,et al.  Crystal structure, polarity and morphology of 4-O-β-d-galactopyranosyl-α-d-glucopyranose monohydrate (α-lactose monohydrate): a redetermination , 1984 .

[6]  O. Kamo,et al.  Determination of long-range proton-carbon 13 coupling constants with selective two-dimensional INEPT , 1986 .

[7]  A. Imberty,et al.  Molecular modelling of protein-carbohydrate interactions. Docking of monosaccharides in the binding site of concanavalin A. , 1991, Glycobiology.

[8]  C. W. von der Lieth,et al.  Solution conformation of mono‐ and difucosyllactoses as revealed by rotating‐frame NOE‐based distance mapping and molecular mechanics and molecular dynamics calculations , 1992 .

[9]  T. Sixma,et al.  Refined structure of Escherichia coli heat-labile enterotoxin, a close relative of cholera toxin. , 1993, Journal of molecular biology.

[10]  Norman L. Allinger,et al.  Molecular mechanics. The MM3 force field for hydrocarbons. 1 , 1989 .

[11]  S B Engelsen,et al.  Conformations of disaccharides by empirical force field calculations. Part V: Conformational maps of beta-gentiobiose in an optimized consistent force field. , 1993, International journal of biological macromolecules.

[12]  M. Hricovíni,et al.  Detection of internal motions in oligosaccharides by 1H relaxation measurements at different magnetic fields. , 1992, Biochemistry.

[13]  T. Sixma,et al.  Crystal structure of a cholera toxin-related heat-labile enterotoxin from E. coli , 1991, Nature.

[14]  Dieter Suter,et al.  Two-dimensional chemical exchange and cross-relaxation spectroscopy of coupled nuclear spins , 1981 .

[15]  A. Ejchart,et al.  A 13C T1 study of conformational and molecular mobility of mono‐ and difucosyllactoses , 1992 .

[16]  T. Rutherford,et al.  Characterization of the extent of internal motions in oligosaccharides. , 1993, Biochemistry.

[17]  J. Brady,et al.  The role of hydrogen bonding in carbohydrates: molecular dynamics simulations of maltose in aqueous solution , 1993 .

[18]  Jeremy P. Carver,et al.  Experimental structure determination of oligosaccharides , 1991 .

[19]  S. Pérez Theoretical Aspects of Oligosaccharide Conformation , 1993 .

[20]  Homans Sw,et al.  A molecular mechanical force field for the conformational analysis of oligosaccharides: comparison of theoretical and crystal structures of Man alpha 1-3Man beta 1-4GlcNAc. , 1990 .

[21]  H. Berendsen,et al.  ALGORITHMS FOR MACROMOLECULAR DYNAMICS AND CONSTRAINT DYNAMICS , 1977 .

[22]  E. S. Stevens,et al.  A semiempirical theory of the optical activity of saccharides. , 1987, Carbohydrate research.

[23]  B. J. Hardy,et al.  Modeling in Crystal Structure Analysis of Polysaccharides , 1990 .

[24]  C. Bugg,et al.  Calcium binding to carbohydrates. Crystal structure of a hydrated calcium bromide complex of lactose. , 1973, Journal of the American Chemical Society.

[25]  Norman L. Allinger,et al.  A molecular mechanics force field (MM3) for alcohols and ethers , 1990 .

[26]  C. A. Duda,et al.  Conformational properties of β-(1→4)-D-galactan determined from chiroptical measurements , 1991 .

[27]  W. Hutton,et al.  Spatial aspects of homonuclear, proton NMR cross-relaxation. 1. The effects of molecular shape and internal motion , 1990 .

[28]  J. Brady Theoretical studies of oligosaccharide structure and conformational dynamics , 1991 .

[29]  N. Sharon,et al.  Structure of a legume lectin with an ordered N-linked carbohydrate in complex with lactose. , 1991, Science.

[30]  D. C. Fries,et al.  Structural chemistry of carbohydrates. III. Crystal and molecular structure of 4-O-β-d-galactopyranosyl-α-d-glucopyranose monohydrate (α-lactose monohydrate) , 1971 .

[31]  S. Pérez,et al.  Conformational analysis of 4,1',6'-trichloro-4,1',6'-trideoxy-galacto-sucrose (Sucralose) by a combined molecular-modeling and NMR spectroscopy approach , 1993 .

[32]  G. Bodenhausen,et al.  Evidence for dipolar cross-correlation from triple-quantum-filtered two-dimensional exchange NMR spectroscopy , 1988 .

[33]  G. Batta,et al.  Determination of Long Range Proton Carbon Coupling Constants by Modified Semi-Selective Two-Dimensional Inept: An Application in Stereochemical Analysis of Saccharides , 1989 .

[34]  L. Poppe,et al.  Chemical shift anisotropy of the anomeric protons in α‐ and β‐D‐glucose , 1993 .

[35]  I. Tvaroška,et al.  An attempt to derive a new Karplus-type equation of vicinal proton-carbon coupling constants for COCH segments of bonded atoms , 1989 .

[36]  A. Warshel,et al.  Consistent Force Field for Calculations of Conformations, Vibrational Spectra, and Enthalpies of Cycloalkane and n‐Alkane Molecules , 1968 .

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

[38]  Igor Tvaroŝka,et al.  Anomeric and Exo-Anomeric Effects in Carbohydrate Chemistry , 1989 .

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

[40]  L. Verlet Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules , 1967 .

[41]  C. Beevers,et al.  The structure of a-lactose monohydrate , 1971 .

[42]  J. Robertus,et al.  Structure of ricin B‐chain at 2.5 Å resolution , 1991, Proteins.

[43]  M. Barfield Nuclear spin-spin coupling via nonbonded interactions. 1. Conformational and substituent effects on vicinal carbon-13-proton and carbon-13-carbon-13 coupling constants , 1980 .

[44]  E. S. Stevens,et al.  Potential energy surfaces of cellobiose and maltose in aqueous solution: a new treatment of disaccharide optical rotation , 1989 .

[45]  L. Poppe,et al.  The rigidity of sucrose : just an illusion ? , 1992 .

[46]  M. L. Hayes,et al.  Methyl β-lactoside: 600-MHz 1H- and 75-MHz 13C-n.m.r. studies of 2H- and 13C-enriched compounds , 1982 .

[47]  K. Hirotsu,et al.  The Crystal and Molecular Structure of -Lactose , 1974 .

[48]  J. Markley,et al.  Rotational Spectral Density Functions for Aqueous Sucrose: Experimental Determination Using 13C NMR , 1986 .

[49]  J. Tropp Dipolar relaxation and nuclear Overhauser effects in nonrigid molecules: The effect of fluctuating internuclear distances , 1980 .

[50]  G J Williams,et al.  The Protein Data Bank: a computer-based archival file for macromolecular structures. , 1977, Journal of molecular biology.

[51]  C. A. Duda,et al.  Lactose conformation in aqueous solution from optical rotation , 1990 .

[52]  M. Delaforge,et al.  A conformational exploration of the protonated and unprotonated macrolide antibiotic roxithromycin: comparative study by molecular dynamics and NMR spectroscopy in solution , 1992 .

[53]  R. Brüschweiler,et al.  Molecular dynamics monitored by cross‐correlated cross relaxation of spins quantized along orthogonal axes , 1992 .

[54]  J. Jiménez‐Barbero,et al.  The conformation of the monomethyl ethers of methyl beta-lactoside in D2O and Me2SO-d6 solutions. , 1993, Carbohydrate research.

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

[56]  Jan Kroon,et al.  Solvent effect on the conformation of the hydroxymethyl group established by molecular dynamics simulations of methyl‐β‐D‐glucoside in water , 1990 .

[57]  H. Kovacs,et al.  Motional properties of two disaccharides in solutions as studied by carbon-13 relaxation and NOE outside the extreme narrowing region , 1989 .

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

[59]  C. Bugg,et al.  A lactone–calcium chloride heptahydrate complex , 1973 .

[60]  C. Bush,et al.  Molecular dynamics simulations and the conformational mobility of blood group oligosaccharides , 1990, Biopolymers.

[61]  F. D. Leeuw,et al.  The relationship between proton-proton NMR coupling constants and substituent electronegativities—I : An empirical generalization of the karplus equation , 1980 .

[62]  D. Doddrell,et al.  Theory of Nuclear Overhauser Enhancement and 13C–1H Dipolar Relaxation in Proton‐Decoupled Carbon‐13 NMR Spectra of Macromolecules , 1972 .

[63]  C. Post Internal motional averaging and three-dimensional structure determination by nuclear magnetic resonance. , 1992, Journal of molecular biology.

[64]  F. Bates Circular of the Bureau of Standards no. 440:: polarimetry, saccharimetry and the sugars , 1942 .

[65]  Jens Ø. Duus,et al.  A Conformational Study of Hydroxymethyl Groups in Carbohydrates Investigated by 1H NMR Spectroscopy , 1994 .

[66]  A. French,et al.  Exploration of disaccharide conformations by molecular mechanics , 1993 .

[67]  Organon Scientific Commission on Biochemical Nomenclature , 1987 .

[68]  T. Yui,et al.  Conformational analysis of chitobiose and chitosan , 1994 .

[69]  C. Hervé du Penhoat,et al.  Internal motion in carbohydrates as probed by n.m.r. spectroscopy. , 1993, International journal of biological macromolecules.

[70]  E. S. Stevens Solution conformation of maltose from optical rotation: A procedure for evaluating carbohydrate force fields , 1992 .

[71]  S. Homans,et al.  Application of restrained minimization, simulated annealing and molecular dynamics simulations for the conformational analysis of oligosaccharides. , 1992, Glycobiology.

[72]  S. Barondes,et al.  X-ray crystal structure of the human dimeric S-Lac lectin, L-14-II, in complex with lactose at 2.9-A resolution. , 1994, The Journal of biological chemistry.

[73]  I. Tvaroška,et al.  The conformational analysis of methyl beta-xylobioside: effect of choice of potential functions. , 1993, Carbohydrate research.