Oligosaccharide order in a membrane-incorporated complex glycosphingolipid.

Galactosylceramide (GalCer) and the ganglioside, GM1, were 2H-labelled at C-6 (the hydroxymethyl moiety) of their single terminal galactosyl residues. Each deuterated glycosphingolipid was incorporated at a biologically relevant low concentration into multibilayers of 1-palmitoyl-2-oleoylphosphatidylcholine (POPC). 2H-NMR spectra of aqueous dispersions of GalCer-POPC in the liquid crystal phase were characteristic of restricted headgroup motion (ordering) with effective axial symmetry. The degree of headgroup ordering was analogous to that of GalCer in pure aqueous multibilayers (Skarjune, R. and Oldfield, E. (1979) Biochim. Biophys. Acta 556, 208-218). In the case of GM1, 2H-labelled in the terminal galactose residue of the pentasaccharide headgroup, the 2H-NMR spectra were remarkably like those of the simple glycolipid, GalCer. This suggests substantial restriction of motion about the glycosidic and sugar-ceramide bonds of the complex GM1 headgroup, and that both lipids have comparable degrees of orientational averaging (fluctuation) about the bilayer normal. The result is the first direct demonstration that headgroup orientational order can exist for a complex glycolipid incorporated into 'fluid' bilayer membranes. Such behaviour argues for the possibility of modulation of membrane receptor properties through surface effects on average headgroup orientation and conformation.     

Effect of calcium on the dynamic behavior of sialylglycerolipids and phospholipids in mixed model membranes. A 2H and 31P NMR study

DTSL, a sialic acid bearing glyceroglycolipid, has been deuteriated at the C3 position of the sialic acid headgroup and at the C3 position of the glycerol backbone. The glycolipid was studied as a neat dispersion and in multilamellar dispersions of DMPC (at a concentration of 5-10 mol % relative to phospholipid), using 2H and 31P NMR. The quadrupolar splittings, delta v Q, of the headgroup deuterons were found to differ in the neat and mixed dispersion, suggesting different headgroup orientations in the two systems. In DTSL-DMPC liposomes, two quadrupolar splittings were observed, indicating that the axial and equatorial deuterons make different angles with respect to the axis of motional averaging. The splittings originating from the equatorial and axial deuterons were found to increase and decrease with increasing temperature, respectively, indicating a temperature-dependent change in average headgroup orientation. Longitudinal relaxation times, T1Z, were found to be short (3-6 ms). The field dependence of T1Z suggests that more than one motion governs relaxation. At 30.7 MHz a T1Z minimum was observed at approximately 40 degrees C. At 46.1 MHz the T1Z values were longer and increased with temperature, demonstrating that the dominant rigid-body motions of the headgroup at this field are in the rapid motional regime (greater than 10(8) s-1). DTSL labeled at the glycerol C3 position was studied in DMPC multilamellar dispersions. Whereas two quadrupolar splittings have been observed for other glycolipids labeled at this position, only a single delta nu Q was observed. This shows that the orientation of the C2-C3 segment of DTSL relative to the bilayer normal differs from that of other glycolipids.(ABSTRACT TRUNCATED AT 250 WORDS)     

Determination of conformational properties of glycolipid head groups by 2H NMR of oriented multibilayers

The conformations and orientations of the glucose and glycerol moieties of a monoglucosyl lipid in hydrated bilayers have been determined in detail by deuterium nuclear magnetic resonance (2H NMR). Multibilayer membranes of 1,2-di-O-tetradecyl-3-O-(beta-D-glucopyranosyl)glycerol (DTGL), of dimyristoylphosphatidylcholine (DMPC), and of a mixture of DTGL and DMPC were oriented between glass plates. The glucolipid was selectively labeled with deuterium on the pyranose ring and at C3 of glycerol, whereas DMPC was labeled at the C4 position of the sn-2 chain. Quadrupolar splittings were measured as a function of the angle between the bilayer normal and the magnetic field direction. The results establish that the director of motional averaging, the direction about which motion and order are axially symmetric, is the bilayer normal for all the head group, the glycerol backbone, and the hydrophobic core. Segmental order parameters were determined to be 0.45, 0.65, and 0.40, respectively, for the various regions of DTGL in the membranes. The latter results indicate that there is some motion on the time scale of 10(5) s-1 about the C1'(glucose)-O-C3(glycerol) glycosidic bond but that its amplitude is very restricted. Comparison of 1H-decoupled and 1H-coupled 2H NMR spectra of the C3-labeled glycolipid gave estimates of the 2H-2H dipolar coupling between the deuterons at this position. The orientation of the glycerol C3 hydroxymethylene subunit was calculated relative to the bilayer normal, and the C2-C3 bond was found to be tilted away from the bilayer normal by 3 +/- 1 degree.(ABSTRACT TRUNCATED AT 250 WORDS)     

Glycosphingolipid headgroup orientation in fluid phospholipid/cholesterol membranes: similarity for a range of glycolipid fatty acids.

Galactosyl ceramide (GalCer) was labeled for nuclear magnetic resonance (NMR) spectroscopy by replacement of a hydrogen atom at C6 of the galactose residue with deuterium. Wideline 2H NMR of [d1]GalCer permitted consideration of a mechanism traditionally entertained for cell surface recognition site modulation: that the nature of the fatty acid attached to the sphingosine backbone of glycosphingolipids (GSLs) importantly influences carbohydrate headgroup orientation. Comparison was made among various glycolipid fatty acids by altering hydroxylation, saturation, and chain length. Studies were carried out in unsonicated bilayer membranes mimicking several important characteristics of cell plasma membranes: fluidity, low GSL content, predominant [sn-2]monounsaturated phosphatidylcholine (PC) (1-palmitoyl-2-oleoyl PC), and the presence of cholesterol. Spectroscopy was performed on samples over a range of temperatures, which included the physiological. 2H NMR spectra of [d1]GalCer having 18-carbon saturated fatty acid (stearic acid), cis-9-unsaturated fatty acid (oleic acid), D- and L-stereoisomers of alpha-OH stearic acid, or 24-carbon saturated fatty acid (lignoceric acid) were importantly similar. This argues that for GSLs dispersed as minor components in fluid membranes, variation of the glycolipid fatty acid does not provide as much potential for direct conformational modulation of the carbohydrate portion as has sometimes been assumed. However, there was some evidence of motional differences among the species studied. The 2H NMR spectra that were obtained proved to be more complex than was anticipated. Their features could be approximated by assuming a combination of axially symmetric and axially asymmetric glycolipid motions. Presuming the appropriateness of such a analysis, at a magnetic field of 3.54 T (23.215 MHz), the experimental spectra suggested predominantly asymmetric motional contributions. At the higher field of 11.7 T (76.7 MHz, equivalent to a proton frequency of 500 MHz), spectra indicated dominance by axially symmetric rotational modes. There was also evidence of some bilayer orientation in the stronger magnetic field. The unusual observation of spectral differences between the two magnetic field strengths may involve a diamagnetic response to high field on the part of some liposome physical characteristics.     

Analysis of phi and chi 1 torsion angles for hen lysozyme in solution from 1H NMR spin-spin coupling constants

Three-bond 3JHN alpha coupling constants have been determined for 106 residues and 3J alpha beta coupling constants have been measured for 57 residues of the 129-residue protein hen egg white lysozyme. These NMR data have been compared with torsion angles defined in the tetragonal and the triclinic crystal forms of the protein. For most residues the measured 3JHN alpha values were consistent with the phi torsion angles found in both crystal forms; the RMS difference between the coupling constants calculated by using the tetragonal crystal structure phi angles and the experimental 3JHN alpha values is 0.88 Hz. Thus there appears to be no significant averaging of the phi torsion angle either in the interior or at the surface of the protein. For 41 of the residues where 3J alpha beta coupling constants have been determined, the values are consistent with a single staggered conformation about the chi 1 torsion angle and there is complete agreement between the NMR data in solution and the torsion angles defined in the crystalline state. In contrast, for the other 16 residues where 3J alpha beta coupling constant values have been measured, the data indicate extensive motional averaging about the chi 1 torsion angle. These residues occur largely on the surface of the protein and examination of the crystal structures shows that many of these residues adopt a different conformation in the triclinic and tetragonal crystal forms and have high crystallographic temperature factors. It appears, however, that in solution conformational flexibility of the side chains of surface residues is significantly more pronounced than in individual crystal structures.     

Glycolipid membrane surface structure: orientation, conformation, and motion of a disaccharide headgroup

The orientation of the disaccharide headgroup of a lactose-containing lipid, 3-O-(4-O-beta-D-galactopyranosyl-beta-D-glucopyranosyl)-1,2-di-O-tetrade cyl-sn- glycerol (DTLL), relative to the surface of bilayer membranes has been determined via 2H NMR. The lactosyl headgroup is extended away from the membrane surface into the aqueous phase. The headgroup motion has axial symmetry as evidenced by the spectral line shape and order parameter tensor. 2H NMR of oriented multibilayers of DTLL confirms that the director of motional averaging is the bilayer normal. The two sugar residues have segmental order parameters S (glucose, 0.53; galactose, 0.51) which indicate that the headgroup fluctuates about the bilayer normal as a rigid unit. 2H spin-lattice relaxation times T1z for deuterons on each of the two sugar rings are similar, indicating further that there is no substantial motion about the disaccharide linkage within the headgroup. The magnitude of the relaxation times (4 ms) suggests that the rigid body motions of the headgroup are approaching the Larmor frequency; however, they increase with increasing temperature, indicating that the motions are rapid enough to be in the fast motional regime (omega o2 tau c2 less than 1). The conformation about the galactose-glucose intersaccharide linkage, calculated from the 2H NMR data, is shown to differ substantially from those found in X-ray diffraction studies of crystalline lactose and high-resolution NMR studies of methyl lactoside in nonviscous solution. The orientations of the hydroxymethyl groups in the headgroup have been calculated from the 2H NMR data. For the galactosyl residue the data are consistent with the presence of more than one rotamer about the C5"-C6" bond which are in fast exchange on the 2H NMR time scale. The hydroxymethyl group of the glucose residue exists in two rotameric forms about the C5'-C6' bond which have relative populations of ca. 2:1 and which are in slow exchange on the 2H NMR time scale (10(-5) s). The two rotamers differ from those deduced from X-ray crystallography of crystalline lactose and 13C NMR studies of methyl lactoside in solution.     

Solution conformations of d(CGTACG)2 determined from NMR experiments

The conformations of all the nucleotides in the hexamer d(CGTACG)2 have been determined using time-dependent one- and two-dimensional nuclear Overhauser enhancements (NOEs) and the program NUCFIT (see previous article). The glycosidic torsion angles are well determined, the fraction of the C2' endo state for the sugar puckers is less well determined, and the pseudorotation phase angle is poorly determined by the NOEs. The average glycosidic torsion angle is -107 +/- 9 degrees, and the deoxyriboses of the purine residues have a higher fraction of the C2' endo state than those of the pyrimidine residues. There is good agreement between the one- and two-dimensional NOE data. Of the helical parameters, the local rise and twist are moderately well determined, but the roll and tilt of the bases are not well described. The overall structure belongs to the B family of conformations, as previously described by Gronenborn et al. (Biochem. J. (1984) 221, 723-736), but there are significant differences which can be ascribed to the improved treatment of the spin-diffusion and motional averaging possible with the program NUCFIT. The results obtained using NUCFIT are compared with those from restrained energy minimisation calculations using distance restraints obtained from NUCFIT.     

Characterization by 1H NMR of glycosidic conformations in the tetramolecular complex formed by d(GGTTTTTGG).

We have conducted two dimensional NOESY studies on the molecule d(G2T5G2) to characterize the structure of the tetramolecular complex previously identified by calorimetric and spectroscopic studies (1). Analysis of the NOE and exchange cross peaks observed in the NOESY spectra establishes the formation of structured conformations at low temperature (5 degrees C). Significantly, within each strand of these structured conformations, the G1 and G8 residues adopt syn glycosidic torsion angles, while the G2 and G9 residues adopt anti glycosidic torsion angles. Consequently, any structure proposed for the tetramolecular complex of d(G2T5G2) must have alternating G(syn) and G(anti) glycosidic torsion angles within each strand. The implications of this observation for potential structures of the tetramolecular complex of d(G2T5G2) are discussed.     

Solution conformation of d-CTCGAGCTCGAG by two-dimensional NMR: conformational heterogeneity at XhoI cleavage site

Nonexchangeable proton resonances in the 500-MHz NMR spectrum of d-CTCGAGCTCGAG have been assigned by using two-dimensional correlated spectroscopy (COSY) and nuclear Overhauser enhancement spectroscopy (NOESY). 1H-1H coupling constants (J) in the deoxyribose rings have been measured by analyzing intensity and multiplet patterns in the phase-sensitive omega 1-scaled COSY spectra. A modification of the J-resolved technique, called amplitude-modulated J-resolved spectroscopy, has been described and used to increase the accuracy of J measurements. Absorption mode omega 1-scaled NOESY spectra at mixing times in the range 50-200 ms have been analyzed to monitor spin diffusion. A 50-ms spectrum has been used to estimate several interproton distances. The coupling constant and distance data have been used to arrive at sequence-specific sugar geometries and glycosidic torsion angles. The backbone structure has been refined by model building using the FRODO program, employing the sugar geometries and glycosidic torsion angles discussed above. The molecule shows interesting sequence-dependent variations in the structure. The cleavage site of the restriction enzyme XhoI exhibits unique differences in the sugar geometry and backbone torsion angles.     

Vicinal coupling constants and protein dynamics

The effects of motional averaging on the analysis of vicinal spin-spin coupling constants derived from proton NMR studies of proteins have been examined. Trajectories obtained from molecular dynamics simulations of bovine pancreatic trypsin inhibitor and of hen egg white lysozyme were used in conjunction with an expression for the dependence of the coupling constant on the intervening dihedral angle to calculate the time-dependent behavior of the coupling constants. Despite large fluctuations, the time-average values of the coupling constants are not far from those computed for the average structure in the cases where fluctuations occur about a single potential well. The calculated differences show a high correlation with the variation in the magnitude of the fluctuations of individual dihedral angles. For the cases where fluctuations involve multiple sites, large differences are found between the time-average values and the average structure values for the coupling constants. Comparison of the simulation results with the experimental trends suggests that side chains with more than one position are more common in proteins than is inferred from X-ray results. It is concluded that for the main chain, motional effects do not introduce significant errors where vicinal coupling constants are used in structure determinations; however, for side chains, the motional average can alter deductions about the structure. Accurately measured coupling constants are shown to provide information concerning the magnitude of dihedral angle fluctuations.     

Intra- and intermolecular interactions of phospholipid headgroups within a two-dimensional hexagonal lattice

Using different types of atom-atom potential functions the energetically most stable conformations of glycero-phosphatidylethanolamine (GPE) in a two-dimensional hexagonal lattice were calculated. The results show that the conformational behaviour of the phospholipid headgroups is determined mainly by the intramolecular electrostatic repulsion between the phosphate group ester oxygen lone pairs. The best agreement with X-ray torsion angles was obtained reducing the CNDO-APSG net atomic charges by a factor of $\text{3}{}^{\mathrm{<mtext>?</mtext><mtext>1</mtext><mtext>2</mtext>}}$. The energetically preferred regions of headgroup torsion angles give a molecular model of the headgroup reorientational processes in agreement with NMR results.     

Dynamics of glycolipids in the liquid-crystalline state. 2H NMR study.

It has been shown previously that two types of motion are adequate to describe the partially relaxed 2H NMR line shapes (inversion recovery experiment) for the backbone portion of the glycolipid 1,2-di-O-tetradecyl-3-O-(beta-D-glucopyranosyl)-sn-glycerol (beta-DTGL) in the highly ordered gel phase (Auger, M.A., D. Carrier, I.C.P. Smith, and H. C. Jarrell. 1990. J. Am. Chem. Soc. 112:1373-1381). This study extends the latter investigation to the more fluid liquid-crystalline phase, where more complex motions are anticipated. Analyses of the powder line shapes and oriented sample relaxation data for both the glycerol backbone and head group regions of this lipid have been performed. The dynamics of glycerol at the C3 position in the gel state have been described by large angle jumps about the C2-C3 bond with a correlation time in the fast-limit motional regime (omega o tau c much less than 1) and site populations 0.46, 0.34, and 0.20. The present data show that in the liquid-crystalline phase the internal jump rate is maintained, and two additional motions are necessary to describe the dependence of the relaxation rate on the orientation of the director with respect to the magnetic field direction. These are rotation about the molecular long axis with a correlation time in the slow-limit motional regime very near to the T1 minimum (omega o tau c approximately 0.65), and molecular fluctuations about the order director (modeled by a Maier-Saupe restoration potential). This treatment was also extended to the glucose head group where additional segmental motion about the glycosidic bond has been reported previously. While the two motions dominating relaxation at the glycerol C3 segment reproduce the general relaxation features of the glucose head group, the results suggest that additional motion about the glycosidic linkage must be present. This study is a stringent test of the motional model chosen earlier because relaxation data were obtained at two 2H NMR frequencies using two relaxation experiments (T1Z and T1Q) and two types of sample preparation (oriented and dispersed multibilayers). The results strongly uphold the choice of model and indicate the utility of both oriented samples and the T1Q experiment.     

Vibrational approach to the dynamics of an α-helix

The dynamics of a finite α-helix have been studied in the harmonic approximation by a vibrational analysis of the atomic motions about their equilibrium positions. The system were represented by an empirical potential energy function, and all degrees of freedom (bond lengths, bond angles, and torsional angles) were allowed to vary. The complete results were compared with a more restrictive model in which the peptide dihedral angle was kept rigid; also, a model potential excluding hydrogen bonds was examined. Thermal fluctuations in the backbone dihedral angles ? and ψ are 12° to 15°. The fluctuations of adjacent dihedral angles are highly correlated, and the correlation pattern is affected by the flexibility of the peptide dihedral angle. Time-dependent autocorrelations in the motion of ? and ψ appear to decay due to dephasing in less than 1 psec, while the motions of the carbonyl oxygen and amide hydrogens out of the peptide plane are more harmonic. Length fluctuations have been evaluated and exhibit a strong end effect; the calculated elastic modulus is in agreement with other values. Rigid and adiabatic total energy surfaces corresponding to dihedral angle rotations in the middle of the helix have been obtained and compared with the quadratic approximation to those surfaces. The magnitudes and correlations between the fluctuations obtained by averaging over the adiabatic energy surface most closely resemble the vibrational results. Of particular interest is the fact that hydrogen bonds play a relatively small role in the local dihedral angle fluctuations, though the hydrogen bonds are important in the energy of overall length changes.     

Modeling of arabinofuranose and arabinan,II. Nmr and Conformational analysis of arabinobiose and arabinan

The disaccharide arabinobiose (5-O -α-L -arabinofuranosyl-α-L -arabinofuranose) constitutes the basic repeating structures found in such polysaccharides as arabinan or in the side chains of the hairy regions of pectins. The conformational behavior of aqueous arabinobiose has been investigated by high resolution nmr and computerized molecular modeling. The complete conformational analysis of the, disaccharide has been achieved with the MM3 molecular mechanics methods using the flexible residue method. In this study, both the puckering of the arabinofuranose, rings and the orientations about the glycosidic torsion angles ?, ψ, and ω; were considered. Some insights into conformational transitions were obtained through molecular dynamics simulation using the CHARMM force field. In parallel, transient nuclear Overhauser effects at 400.13 MHz and long-range vicinal homonuclear and heteronuclear coupling constants have been measured. The theoretical nmr data were calculated taking into account all accessible conformations and using averaging methods for both slow and fast internal motions models. The data do not support a single conformational model, and only conformational averaging yields the excellent agreement between the observed and simulated parameters. Within the potential energy surfaces computed for the disaccharide, several low energy conformers can be identified. When these conformations are extrapolated to regular polysaccharide structures, they generate chains of arabinan displaying right- and left-handed chirality and a wide range of repeating units per turn of helix. © 1994 John Wiley & Sons, Inc.     

Assessing the effects of time and spatial averaging in 15N chemical shift/15N-1H dipolar correlation solid state NMR experiments

The effect of time and spatial averaging on ¹⁵N chemical shift/¹H-¹⁵N dipolar correlation spectra, i.e., PISEMA spectra, of -helical membrane peptides and proteins is investigated. Three types of motion are considered: (a) Librational motion of the peptide planes in the -helix; (b) rotation of the helix about its long axis; and (c) wobble of the helix about a nominal tilt angle. A 2ns molecular dynamics simulation of helix D of bacteriorhodopsin is used to determine the effect of librational motion on the spectral parameters. For the time averaging, the rotation and wobble of this same helix are modelled by assuming either Gaussian motion about the respective angles or a uniform distribution of a given width. For the spatial averaging, regions of possible ¹⁵N chemical shift/¹H-¹⁵N dipolar splittings are computed for a distribution of rotations and/or tilt angles of the helix. The computed spectra show that under certain motional modes the ¹⁵N chemical shift/¹H-¹⁵N dipolar pairs for each of the residues do not form patterns which mimic helical wheel patterns. As a result, the unambiguous identification of helix tilt and helix rotation without any resonance assignments or on the basis of a single assignment may be difficult.     

Membrane orientation of the N-terminal segment of alamethicin determined by solid-state 15N NMR.

Alamethicin was synthesized with 15N incorporated into alanine at position 6 in the peptide sequence. In dispersions of hydrated dimyristoylphosphatidylcholine, solid-state 15N NMR yields an axially symmetric powder pattern indicating that the peptide is reorienting with a single axis of symmetry when associated with lamellar lipids. When incorporated into bilayers that are uniformly oriented with the bilayer normal parallel to the B(o) field, the position of the observed 15N chemical shift is 171 ppm. This is coincident with the sigma parallel to edge of the axially symmetric powder pattern for non-oriented hydrated samples. Thus the axis of motional averaging lies along the bilayer normal. Two-dimensional separated local field spectra were obtained that provide a measure of the N-H dipolar coupling in one dimension and the 15N chemical shift in the other. These data yield a dipolar coupling of 17 kHz corresponding to an average angle of 24 degrees for the N-H bond with respect to the B(o) field axis. An analysis of the possible structures and orientations that could produce the observed spectral parameters show that these values are consistent with an alpha-helical conformation inserted along the bilayer normal.     

Conformational analysis and molecular dynamics simulation of α-(1 → 2) and α-(1 → 3) linked rhamnose oligosaccharides: Reconciliation with optical rotation and NMR experiments

Molecular mechanics and dynamics calculations were carried out on the disaccharides α-L-Rhap-(1 → 2)-α-L-Rhap-(1 → OMe) (1) and α-L-Rhap-(1 → 3)-α-L-Rhap-(1 OMe) (2), and the trisaccharide α-L-Rhap-(1 → 2)-α-L-Rhap-(1 → 3)-α-L-Rhap-(1 → OMe) (3). The semiflexible conformational behavior of these molecules was characterized by the occupation of a combination of different glycosidic linkage and side-chain conformational positions whose relative occupations were sensitive to dielectric screening. Molecular dynamics simulations of the trisaccharide 3 showed little difference between the linkage conformations in the trisaccharide and the component disaccharides 1 and 2. Experimental optical rotation data of 1 and 2 were obtained as a function of temperature in varying solvents. The molecular models were combined with the semiempirical theory of Stevens and Sathyanarayana to yield calculated optical rotations. Interpretation of the data of both 1 and 2 implied that a combination of conformations, both in glycosidic and side-chain positions, could explain the experimental data. Solvents effects were important in influencing the conformational mix and averaged optical rotation. Three-bond heteronuclear coupling constants ³J_{C, H} were obtained for the glycosidic linkages of 1 and 2 in D₂O and DMSO. Analysis of the coupling constants with a Karplus curve showed that small reductions in the glycosidic torsion angles of the conformations of the models used here of ca. 10°–15° in ϕ and 5°–10° in ψ were required to give better agreement with experiment; a combination of conformations for both 1 and 2 was consistent with the data. There was a negligible influence on the coupling constants of 1 on changing the solvent from D₂O to DMSO. © 1997 John Wiley & Sons, Inc.     

Three-dimensional static modeling of the lumbar spine

This paper presents three-dimensional static modeling of the human lumbar spine to be used in the formation of anatomically-correct movement patterns for a fully cable-actuated robotic lumbar spine which can mimic in vivo human lumbar spine movements to provide better hands-on training for medical students. The mathematical model incorporates five lumbar vertebrae between the first lumbar vertebra and the sacrum, with dimensions of an average adult human spine. The vertebrae are connected to each other by elastic elements, torsional springs and a spherical joint located at the inferoposterior corner in the mid-sagittal plane of the vertebral body. Elastic elements represent the ligaments that surround the facet joints and the torsional springs represent the collective effect of intervertebral disc which plays a major role in balancing torsional load during upper body motion and the remaining ligaments that support the spinal column. The elastic elements and torsional springs are considered to be nonlinear. The nonlinear stiffness constants for six motion types were solved using a multiobjective optimization technique. The quantitative comparison between the angles of rotations predicted by the proposed model and in the experimental data confirmed that the model yields angles of rotation close to the experimental data. The main contribution is that the new model can be used for all motions while the experimental data was only obtained at discrete measurement points.     

Structure and dynamics of alpha-tocopherol in model membranes and in solution: a broad-line and high-resolution NMR study

Nuclear magnetic resonance has been applied to study the conformational dynamics of alpha-tocopherol (vitamin E) in solution and in model membranes. In nonviscous solution, 1H nuclear magnetic resonance (NMR) showed that alpha-tocopherol is in rapid equilibrium between two or more puckered conformers of its heterocyclic ring. The most likely conformers to be so involved are the two half-chair forms. Deuterium NMR spectra of specifically deuteriated alpha-tocopherol in multilamellar dispersions of egg phosphatidylcholine, measured in the liquid-crystalline state, were characteristic of axially symmetric motional averaging. The orientation of the rotational axis within the molecular framework was determined. Studies on oriented multilamellar membranes revealed that this axis is perpendicular to the surface of the membrane. The profile of quadrupolar splittings along the hydrophobic tail does not have a plateau, in contrast to that of the fatty acyl chains of the membrane lipids. Longitudinal relaxation times (T1) were short. The presence of a minimum in their temperature dependence shows that molecular motion with an effective correlation time tau eff approximately equal to 3 X 10(-9)s is responsible for relaxation. However, the temperatures and absolute values of the minima depend on the position of the deuterium in the molecule, demonstrating that tau eff represents a complex blend of motions.