Conformational classification of functional nucleic acids.

The kink parameters would provide the tolerant aspect for irregular helical structure of nucleic acid. Using these kink parameters, the classification of conformation space was carried for the functional nucleic acid molecules. The kink parameters could afford us the simple structural aspects about the constructive parts of functional molecules. Local elastic kink phenomena can be classified by rod like models with the combination of kink parameters. The constructive parts, such as the stable tetra nucleotides loop, U-turn conformation and adenosine platform, were selected and the statistical analyses were carried on the parameters calculated by program BIOCON.     

Ligand-induced domain rearrangement of fatty acid beta-oxidation multienzyme complex

The quaternary structure of a fatty acid beta-oxidation multienzyme complex, catalyzing three sequential reactions, was investigated by X-ray crystallographic and small-angle X-ray solution scattering analyses. X-ray crystallography revealed an intermediate structure of the complex among the previously reported structures. However, the theoretical scattering curves calculated from the crystal structures remarkably disagree with the experimental profiles. Instead, an ensemble of the atomic models, which were all calculated by rigid-body optimization, reasonably explained the experimental data. These structures significantly differ from those in the crystals, but they maintain the substrate binding pocket at the domain boundary. Comparisons among these structures indicated that binding of 3-hydroxyhexadecanoyl-CoA or nicotinamide adenine dinucleotide induces domain rearrangements in the complex. The conformational changes suggest the structural events occurring during the chain reaction catalyzed by the multienzyme complex.     

Protein disorder: conformational distribution of the flexible linker in a chimeric double cellulase

The structural properties of the linker peptide connecting the cellulose-binding module to the catalytic module in bimodular cellulases have been investigated by small-angle x-ray scattering. Since the linker and the cellulose-binding module are relatively small and cannot be readily detected separately, the conformation of the linker was studied by means of an artificial fusion protein, Cel6BA, in which an 88-residue linker connects the large catalytic modules of the cellulases Cel6A and Cel6B from Humicola insolens. Our data showed that Cel6BA is very elongated with a maximum dimension of 178 A, but could not be described by a single conformation. Modeling of a series of Cel6BA conformers with interdomain separations ranging between 10 A and 130 A showed that good Guinier and P(r) profile fits were obtained by a weighted average of the scattering curves of all the models where the linker follows a nonrandom distribution, with a preference for the more compact conformers. These structural properties are likely to be essential for the function of the linker as a molecular spring between the two functional modules. Small-angle x-ray scattering therefore provides a unique tool to quantitatively analyze the conformational disorder typical of proteins described as natively unfolded.     

The SAXS solution structure of RF1 differs from its crystal structure and is similar to its ribosome bound cryo-EM structure

Bacterial class I release factors (RFs) are seen by cryo-electron microscopy (cryo-EM) to span the distance between the ribosomal decoding and peptidyl transferase centers during translation termination. The compact conformation of bacterial RF1 and RF2 observed in crystal structures will not span this distance, and large structural rearrangements of RFs have been suggested to play an important role in termination. We have collected small-angle X-ray scattering (SAXS) data from E. coli RF1 and from a functionally active truncated RF1 derivative. Theoretical scattering curves, calculated from crystal and cryo-EM structures, were compared with the experimental data, and extensive analyses of alternative conformations were made. Low-resolution models were constructed ab initio, and by rigid-body refinement using RF1 domains. The SAXS data were compatible with the open cryo-EM conformation of ribosome bound RFs and incompatible with the crystal conformation. These conclusions obviate the need for assuming large conformational changes in RFs during termination.     

High state of order of isolated bacterial lipopolysaccharide and its possible contribution to the permeation barrier property of the outer membrane.

The conformational properties of the isolated S form of Salmonella sp. lipopolysaccharide (LPS), of Re mutant LPS, and of free lipid A were investigated by using X-ray diffraction and conformational energy calculations. The data obtained showed that LPS in a dried, in a hydrated, and probably also in an aqueous dispersion state is capable of forming bilayered lamellar arrangements similar to phospholipids. From the bilayer packing periodicities, a geometrical model of the extensions of the LPS regions lipid A, 2-keto-3-deoxyoctulosonic acid, and O-specific chain along the membrane normal could be calculated. Furthermore, the lipid A component was found to assume a remarkably high ordered conformation: its fatty acid chains were tightly packed in a dense hexagonal lattice with a center-to-center distance of 0.49 nm. The hydrophilic backbone of lipid A showed a strong tendency to form domains in the membrane, resulting in a more or less parallel arrangement of lipid A units. According to model calculations, the hydrophilic backbone of lipid A appears to be oriented approximately 45 degrees to the membrane surface, which would lead to a shed roof-like appearance of the surface structure in the indentations of which the 2-keto-3-deoxyoctulosonic acid moiety would fit. In contrast, the O-specific chains assume a low ordered, heavily coiled conformation. Comparison of these structural properties with those known for natural phospholipids in biological membranes indicates that the high state of order of the lipid A portion of LPS might be an important factor in the structural role and permeation barrier functions of LPS in the outer membrane of gram-negative bacteria.     

Small-angle X-ray studies of the human immunoglobulin molecule Kol.

The conformation of the human immunoglobulin molecul Kol [IgG I, kappa2 gamma2, Gm(f)+] was studied by small-angle X-ray scattering in 0.15 M NaCl solution. The radius of gyration was found to be 5.84 +/- 0.04 nm, the volume 329 +/- 15 nm3 and the molecular weight 150 000 +/- 10 000. Information on the overall shape was obtained by comparing the experimental scattering curve with the calculated curves for various models. The models were obtained by arranging the models found for the Fab and Fc fragments of the same immunoglobulin molecule in a different manner. A model which fits all the date and the form of the experimental scattering curve is presented.     

Small-angle diffuse x-ray scattering on fine muscle filaments

Theoretical small-angle diffuse scattering curves from muscle thin filament models have been calculated. The curves reveal a maximum at 115' scattering angle. It has been shown that the maximum is due to the pitch of F-actin helix. Theoretical curves are in good agreement with the earlier obtained curves of small-angle diffuse scattering from F-actin dilute solutions.     

Molecular Morphology of Eukaryotic Class-1 Translation Termination Factor eRF1 in Solution

The integral structural parameters and the shape of the molecule of human translation termination factor eRF1 were determined from the small-angle X-ray scattering in solution. The molecular shapes were found by bead modeling with nonlinear minimization of the root-mean-square deviation of the calculated from the experimental scattering curve. Comparisons of the small-angle scattering curves computed for atomic-resolution structures of eRF1 with the experimental data on scattering from solution testified that the crystal and the solution conformations are close. In the ribosome, the distance between the eRF1 motifs GGQ and NIKS must be shorter than in crystal or solution (75 versus 100–107 Å). Therefore, like its bacterial counterpart RF2, the eukaryotic eRF1 must change its conformation as it binds to the ribosome. The conformational mobility of eukaryotic and prokaryotic class-1 release factors is another feature making them functionally akin to tRNA.     

Molecular morphology of eukaryotic class I translation termination factor eRF1 in solution

The integral structural parameters and the shape of the molecule of human translation termination factor eRF1 were determined from the small-angle X-ray scattering in solution. The molecular shapes were found by bead modeling with nonlinear minimization of the root-mean-square deviation of the calculated from the experimental scattering curve. Comparisons of the small-angle scattering curves computed for atomic-resolution structures of eRF1 with the experimental data on scattering from solution testified that the crystal and the solution conformations are close. In the ribosome, the distance between the eRF1 motifs GGQ and NIKS must be shorter than in crystal or solution (75 versus 107-112 A). Therefore, like its bacterial counterpart RF2, the eukaryotic eRF1 must change its conformation as it binds to the ribosome. The conformational mobility of eukaryotic and prokaryotic class-1 release factors is another feature making them functionally akin to tRNA.     

On the conformation of serine-specific transfer RNA. Studies by small-angle X-ray scattering and ultraviolet absorption of the molecule in solution.

The scattered X-ray intensities from dilute solutions of tRNASer (yeast) in 0.1 M Soerensen buffer at pH 7.0 were measured at 25 degrees C. The radius of gyration, molecular weight and volume were determined. A model equivalent in scattering is given. The change of the conformation of tRNASer by heating was followed by small-angle X-ray measurements and ultraviolet absorption in a temperature range 20-70 degrees C. The molecule begins to unfold at about 40 degrees C and 70 degrees C has a random coil conformation. Addition of magnesium stabilizes the tRNASer molecule. The reversibility of the melting process was also studied by both methods. An interesting effect was found by ultraviolet absorption: by heating the tRNASer solutions to 55 degrees C and 60 degrees C and subsequently slowly cooling, the melting curves lie at higher absorption values than the corresponding cooling curves. The small-angle data and optical properties of tRNASer are compared with those of tRNAPhe which has already been thoroughly investigated.     

Conformational statistics of pectin substances in solution by a Metropolis Monte Carlo study

Using a Metropolis Monte Carlo algorithm, various average properties of several pectic polysaccharide models were calculated based on the conformational energies for parent disaccharides. The relaxed potential energy surfaces of disaccharides were calculated using the CHARMm force field. Solvent effects were evaluated by calculating a solvation energy for each conformational state by estimating contributions from a cavity formation, and from the electrostatic and dispersion interactions between solvent and solute molecules. The behavior of the mean characteristic ratio, the squared radius of gyration, and the persistence length versus chain length is discussed for various structural models, temperature, and solvent. It is found that the unrefined model of the alternating co-polymer polygalacto-galacturonic acid in vacuum is consistent with the experimentally measured dimension of pectin in salt excess. This model is used to generate computer images of the characteristic conformation of pectin chain.     

X-ray-scattering of turkey skeletal-muscle troponin C in solution at low pH.

The solution structure of troponin C from turkey skeletal muscle was studied at low pH by small-angle X-ray-scattering. We find that troponin C at pH 5.3 in the presence of Mg2+ has a triaxial radius of gyration and maximum dimension comparable with those of the crystallized protein. However, the relative disposition of domains is more similar to that found for the highly homologous rabbit protein in solution at pH 7.4.     

Small-angle neutron-scattering and electron microscope studies of the chicken liver fatty acid synthase

A structural model for the chicken liver fatty acid synthase is proposed based on electron microscope and small-angle neutron-scattering studies of the enzyme. The model has the overall appearance of two side by side cylinders with dimensions of 160 X 146 X 73 A, with each subunit 160 A in length and 73 A in diameter. The model was constructed by dividing each cylinder into three domains having lengths of 32, 82, and 46 A, with the domain structures in the two subunits being related to each other by a dyad axis. The model is consistent with chemical cross-linking studies which indicated that the subunits are arranged in a head to tail fashion. The cross-linking studies further showed that the beta-ketoacyl synthase active site contains a cysteine and a pantetheine residue from adjacent subunits. It is proposed that the domains which catalyze the addition of C2 units from malonate to the growing fatty acid chain lie in the crevice between the two subunits and that the two independent sets of fatty acid-synthesizing centers lie on the major axis of the model on opposite ends of the molecular dyad.     

The polyprotein and FAR lipid binding proteins of nematodes: shape and monomer/dimer states in ligand-free and bound forms

Nematodes produce two classes of small, helix-rich fatty acid- and retinol-binding proteins whose structures and in vivo functions remain to be elucidated. These are the polyprotein allergens (NPA) and the FAR proteins. The solution properties of recombinant forms of these proteins from parasitic [Ascaris suum (As) and Onchocerca volvulus (Ov)] and free-living [Caenorhabditis elegans (Ce)] nematodes have been examined. Analytical ultracentrifugation (AUC) showed that, contrary to previous findings, the rAs-NPA-1A polyprotein unit (approximately 15 kDa) is a monomer, and this stoichiometry is unaltered by ligand (oleic acid) binding. The rOv-FAR-1 and rCe-FAR-5 proteins differ in that the former forms a tight dimer and the latter a monomer, and these oligomeric states are also unaffected by ligand binding or protein concentration. Sedimentation equilibrium experiments showed that the partial specific volume v of the unliganded proteins agree well with the value calculated from amino acid composition extrapolated to experimental temperature, and was unaffected upon ligand binding. Data from small-angle X-ray scattering (SAXS) indicated that both of the monomeric proteins rAs-NPA-1A and rCe-FAR-5 are globular, although slightly elongated and flattened. These data are in good agreement with shapes predicted from sedimentation velocity experiments and hydrodynamic bead modelling. On the basis of functional and secondary structural homology with the ligand-binding domain of the retinoic acid receptor RXRalpha, de novo atomic resolution structures for rAs-NPA-1A and rCe-FAR-5 have been constructed which are consistent with the SAXS and hydrodynamic data.     

Small and medium-angle X-ray analysis of bacterial lipoteichoic acid phase structure.

X-ray scattering analysis was performed on various types of bacterial lipoteichoic acid in solution. The X-ray data show that all samples investigated were characterized by a similar micellar ultrastructure (hydrophilic moiety on the outside) with a fatty acid chain conformation of the disordered, alpha-type at all temperatures between 5 degrees-53 degrees C. The size distribution of Staphylococcus aureus lipoteichoic acid micelles was sufficiently homogeneous to determine their size and some related molecular parameters by detailed small-angle X-ray scattering analysis. Nearly independent of the degree of D-alanine substitution and the ionic strength of the aqueous dispersion, an average micelle contained about 150 lipoteichoic acid molecules arranged in a spherical assembly with a diameter of about 22 nm, whereby the hydrophilic region occupied an outer shell of about 8.5 nm thickness. Based on the average chain length of lipoteichoic acid, it could be estimated that each glycerophosphate residue contributed by about 0.34 nm to the thickness of the hydrophilic shell as compared to a theoretical value of approximately 0.8 nm for a fully extended chain conformation, indicating a highly coiled conformation of the hydrophilic chain. The bearing of these findings on the properties of membrane-associated and secreted lipoteichoic acids is discussed.     

Molecular dynamics effects on protein electrostatics

Electrostatic calculations have been carried out on a number of structural conformers of tuna cytochrome c. Conformers were generated using molecular dynamics simulations with a range of solvent simulating, macroscopic dielectric formalisms, and one solvent model that explicitly included solvent water molecules. Structures generated using the lowest dielectric models were relatively tight, with side chains collapsed on the surface, while those from the higher dielectric models had more internal and external fluidity, with surface side chains exploring a fuller range of conformational space. The average structure generated with the explicitly solvated model corresponded most closely with the crystal structure. Individual pK values, overall titration curves, and electrostatic potential surfaces were calculated for average structures and structures along each simulation. Differences between structural conformers within each simulation give rise to substantial changes in calculated local electrostatic interactions, resulting in pK value fluctuations for individual sites in the protein that vary by 0.3-2.0 pK units from the calculated time average. These variations are due to the thermal side chain reorientations that produce fluctuations in charge site separations. Properties like overall titration curves and pH dependent stability are not as sensitive to side chain fluctuations within a simulation, but there are substantial effects between simulations due to marked differences in average side chain behavior. These findings underscore the importance of proper dielectric formalism in molecular dynamics simulations when used to generate alternate solution structures from a crystal structure, and suggest that conformers significantly removed from the average structure have altered electrostatic properties that may prove important in episodic protein properties such as catalysis.     

Prediction of the structural response of the femoral shaft under dynamic loading using subject-specific finite element models

The goal of this study was to predict the structural response of the femoral shaft under dynamic loading conditions using subject-specific finite element (SS-FE) models and to evaluate the prediction accuracy of the models in relation to the model complexity. In total, SS-FE models of 31 femur specimens were developed. Using those models, dynamic three-point bending and combined loading tests (bending with four different levels of axial compression) of bare femurs were simulated, and the prediction capabilities of five different levels of model complexity were evaluated based on the impact force time histories: baseline, mass-based scaled, structure-based scaled, geometric SS-FE, and heterogenized SS-FE models. Among the five levels of model complexity, the geometric SS-FE and the heterogenized SS-FE models showed statistically significant improvement on response prediction capability compared to the other model formulations whereas the difference between two SS-FE models was negligible. This result indicated the geometric SS-FE models, containing detailed geometric information from CT images with homogeneous linear isotropic elastic material properties, would be an optimal model complexity for prediction of structural response of the femoral shafts under the dynamic loading conditions. The average and the standard deviation of the RMS errors of the geometric SS-FE models for all the 31 cases was 0.46 kN and 0.66 kN, respectively. This study highlights the contribution of geometric variability on the structural response variation of the femoral shafts subjected to dynamic loading condition and the potential of geometric SS-FE models to capture the structural response variation of the femoral shafts.     

Interpretation of the small-angle X-ray diffraction of collagen in view of the primary structure of the alpha1 chain.

The small-angle X-ray diffraction pattern of collagen has been calculated using the sequence of the alpha 1 chain and a Hodge-Petruska scheme for the packing of the collagen molecules. The molecular stagger giving the best fit of calculated-to observed structure factors has been found to be 236 or 237 amino acid residues for three tendon collagens. But this result depends on the appoximation that the molecular conformation is uniform throughout the molecule. A comparison of the observed and calculated electron density profiles in axial projection leads to a corrected model, in which the COOH-terminal telopeptide is contracted in a way suggesting a saddle-shaped electron density distribution near the collagenase site.     

Structural stability of soybean lipoxygenase-1 in solution as probed by small angle X-ray scattering

Soybean lipoxygenase-1 (LOX-1) is used widely as a model for studying the structural and functional properties of the homologous family of lipoxygenases. The crystallographic structure revealed that LOX-1 is organized in a beta-sheet N-terminal domain and a larger, mostly helical, C-terminal domain. Here, we describe the overall structural characterization of native unliganded LOX-1 in solution, using small angle X-ray scattering (SAXS). We show that the scattering pattern of the unliganded enzyme in solution does not display any significant difference compared with that calculated from the crystal structure, and that models of the overall shape of the protein calculated ab initio from the SAXS pattern provide a close envelope to the crystal structure. These data, demonstrating that LOX-1 has a compact structure also in solution, rule out any major motional flexibility of the LOX-1 molecule in aqueous solutions. In addition we show that eicosatetraynoic acid, an irreversible inhibitor of lipoxygenase used to mimic the effect of substrate binding, does not alter the overall conformation of LOX-1 nor its ability to bind to membranes. In contrast, the addition of glycerol (to 5%, v/v) causes an increase in the binding of the enzyme to membranes without altering its catalytic efficiency towards linoleic acid nor its SAXS pattern, suggesting that the global conformation of the enzyme is unaffected. Therefore, the compact structure determined in the crystal appears to be essentially preserved in these various solution conditions. During the preparation of this article, a paper by M. Hammel and co-workers showed instead a sharp difference between crystal and solution conformations of rabbit 15-LOX-1. The possible cause of this difference might be the presence of oligomers in the rabbit lipoxygenase preparations.     

Clustering of amino acids for protein secondary structure prediction

Simple hidden Markov models are proposed for predicting secondary structure of a protein from its amino acid sequence. Since the length of protein conformation segments varies in a narrow range, we ignore the duration effect of length distribution, and focus on inclusion of short range correlations of residues and of conformation states in the models. Conformation-independent and -dependent amino acid coarse-graining schemes are designed for the models by means of proper mutual information. We compare models of different level of complexity, and establish a practical model with a high prediction accuracy.