Matthews coefficient probabilities: Improved estimates for unit cell contents of proteins,DNA, and protein-nucleic acid complex crystals

Estimating the number of molecules in the crystallographic asymmetric unit is one of the first steps in a macromolecular structure determination. Based on a survey of 15641 crystallographic Protein Data Bank (PDB) entries the distribution of V(M), the crystal volume per unit of protein molecular weight, known as Matthews coefficient, has been reanalyzed. The range of values and frequencies has changed in the 30 years since Matthews first analysis of protein crystal solvent content. In the statistical analysis, complexes of proteins and nucleic acids have been treated as a separate group. In addition, the V(M) distribution for nucleic acid crystals has been examined for the first time. Observing that resolution is a significant discriminator of V(M), an improved estimator for the probabilities of the number of molecules in the crystallographic asymmetric unit has been implemented, using resolution as additional information.     

Structure of tropomyosin at 9 angstroms resolution.

We have used molecular replacement followed by a highly parameterized refinement to determine the structure of tropomyosin crystals to a resolution to 9 A. The shape, coiled-coil structure and interactions of the molecules in the crystals have been determined. These crystals have C2 symmetry with a = 259.7 A, b = 55.3 A, c = 135.6 A and beta = 97.2 degrees. Because of the unusual distribution of intensity in X-ray diffraction patterns from these crystals, it was possible to solve the rotation problem by inspection of qualitative aspects of the diffraction data and to define unequivocally the general alignment of the molecules along the (332) and (3-32) directions of the unit cell. The translation function was then solved by a direct search procedure, while electron microscopy of a related crystal form indicated the probable location of molecular ends in the asymmetric unit, as well as the anti-parallel arrangement. The structural model we have obtained is much clearer than that obtained previously with crystals of extraordinarily high solvent content and shows the two alpha-helices of the coiled coil over most of the length of the molecules and establishes the coiled-coil pitch at 140(+/- 10) A. Moreover, the precise value of the coiled-coil pitch varies along the molecule, probably in response to local variations in the amino acid sequence, which we have determined by sequencing the appropriate cDNA. The crystals are constructed from layers of tropomyosin filaments. There are two molecules in the crystallographic asymmetric unit and the molecules within a layer are bent into an approximately sinusoidal profile. Molecules in consecutive layers in the crystal lie at an angle relative to one another as found in crystalline arrays of actin and myosin rod. There are three classes of interactions between tropomyosin molecules in the spermine-induced crystals and these give some insights into the molecular interactions between coiled-coil molecules that may have implications for assemblies such as muscle thick filaments and intermediate filaments. In interactions within a layer, the geometry of coiled-coil contacts is retained, whereas in contacts between molecules in adjacent layers the coiled-coil geometry varies and these interactions instead appear to be dominated by the repeating pattern of charged zones along the molecule.     

Supramolecular complex formation and crystallization of isocitrate dehydrogenase from Thermus thermophilus HB8: preliminary studies with X-Ray crystallography and atomic force microscopy

Atomic force microscopy (AFM) observation of a crystal surface of the thermostable isocitrate dehydrogenase (ICDH) from a thermophilic eubacterium, Thermus thermophilus HB8, suggested that the crystal consists of huge homo-complexed ellipsoidal bodies of the protein, with averaged long- and short-axis diameters of 18.6 nm and 10.9 nm respectively. Thick diamond-shaped crystals of about 0.4 mm on the longest axis were obtained by the vapor diffusion method from a solution of 100 mM sodium cacodylate, pH 6.6-8.4, containing 1.4 M sodium acetate as the precipitate, and diffracted X-rays at 3.7 A resolution. The crystals belonged to the monoclinic lattice type with space group C2 and had cell dimensions of a=495.5, b=189.2, c=336.2 A, and beta=126.4 degrees , indicating that an asymmetric unit contained more than 33 molecules with a molecular mass of 54.2 kDa. Calculations based on data obtained by the X-ray method showed good agreement with AFM observation. These results suggest the possibility that the residing T. thermophilus HB8 ICDH molecules are piled one on top another as a preformed supramolecular nano-architecture in the crystal lattice. The system appears suitable for further investigation using a bottom-up approach to the self-associated construction of nano-architectures with proteins.     

X-ray structure analysis of 3,11,17-trioxoandrostane-5 alpha-carbonitrile and of 17 alpha-ethoxycarbonyloxy-3-oxoandrost-4-ene-17-carbonitrile.

The crystal and molecular structures of the title compounds were determined by x-ray diffractometric analysis. Torsion angles and puckering parameters are reported for both compounds. In 1 the 5 alpha-cyano group influences the A-ring conformation. The carbonate ester 3 crystallizes in the monoclinic P2(1) space group with two molecules (I and II) in the asymmetric unit. The D-ring conformation is to some extent different between I and II.     

沉淀剂类型对蛋白质晶体分子堆积的影响

以不对称单位只有一个分子的牛胰核糖核酸酶和T4溶菌酶晶体为材料,着重研究了无机盐、有机溶剂和PEG三类不同的沉淀剂对晶体分子堆积的影响,经研究发现两种蛋白质中用无机盐做沉淀剂的晶型几乎都含有面积较大的二次轴对称接触面和较少的相邻分子数,同时其含有的参与接触的非极性残基集中分布于二次轴对称接触面,而盐键则在二次轴对称接触面上分布稀少。用有机溶剂作沉淀剂的晶型却含有面积较小的非二次轴对称接触面和较多的相含分子数,而参与接触的非极性残基和直键在各个非二次轴对称接触面上随机分布,用PEG作沉淀剂的晶型其分子堆积特征总体上类似于用有机溶剂作沉淀剂的晶型,但个别晶型具有与用无机盐做沉淀剂的晶型相似的分子堆积特征,以上结果提示,用三类沉淀剂得到的不同的分子堆积特征可能与三类沉淀剂不同的诱导结晶机理密切相关。     

Surface processes in the crystallization of turnip yellow mosaic virus visualized by atomic force microscopy.

In situ atomic force microscopy (AFM) was used to investigate surface evolution during the growth of single crystals of turnip yellow mosaic virus (TYMV). Growth of the (101) face of TYMV crystals proceeded by two-dimensional nucleation. The molecular structure of the step edges and adsorption of individual virus particles and their aggregates on the crystalline surface were recorded. The surfaces of individual virions within crystals were visualized and seen to be quite distinctive with the hexameric and pentameric capsomers of the T = 3 capsids being clearly resolved. This, so far as we are aware, is the first direct visualization of the capsomere structure of a virus by AFM. In the course of recording the in situ development of the crystals, a profound restructuring of the surface arrangement was observed. This transformation was highly cooperative in nature, but the transitions were unambiguous and readily explicable in terms of an organized loss of classes of virus particles from specific lattice positions. In some cases areas of a single crystal surface were recorded in which were captured successive phases of the transition. We believe this provides the first visual record of a cooperative restructuring of the surface of a supramolecular crystal.     

Cellobiohydrolase hydrolyzes crystalline cellulose on hydrophobic faces

Biodegradation of plant biomass is a slow process in nature, and hydrolysis of cellulose is also widely considered to be a rate-limiting step in the proposed industrial process of converting lignocellulosic materials to biofuels. It is generally known that a team of enzymes including endo- and exocellulases as well as cellobiases are required to act synergistically to hydrolyze cellulose to glucose. The detailed molecular mechanisms of these enzymes have yet to be convincingly elucidated. In this report, atomic force microscopy (AFM) is used to image in real-time the structural changes in Valonia cellulose crystals acted upon by the exocellulase cellobiohydrolase I (CBH I) from Trichoderma reesei. Under AFM, single enzyme molecules could be observed binding only to one face of the cellulose crystal, apparently the hydrophobic face. The surface roughness of cellulose began increasing after adding CBH I, and the overall size of cellulose crystals decreased during an 11-h period. Interestingly, this size reduction apparently occurred only in the width of the crystal, whereas the height remained relatively constant. In addition, the measured cross-section shape of cellulose crystal changed from asymmetric to nearly symmetric. These observed changes brought about by CBH I action may constitute the first direct visualization supporting the idea that the exocellulase selectively hydrolyzes the hydrophobic faces of cellulose. The limited accessibility of the hydrophobic faces in native cellulose may contribute significantly to the rate-limiting slowness of cellulose hydrolysis.     

Crystal structure of human epidermal growth factor and its dimerization.

Epidermal growth factor (EGF) is a typical growth-stimulating peptide and functions by binding to specific cell-surface receptors and inducing dimerization of the receptors. Little is known about the molecular mechanism of EGF-induced dimerization of EGF receptors. The crystal structure of human EGF has been determined at pH 8.1. There are two human EGF molecules A and B in the asymmetric unit of the crystals, which form a potential dimer. Importantly, a number of residues known to be indispensable for EGF binding to its receptor are involved in the interface between the two EGF molecules, suggesting a crucial role of EGF dimerization in the EGF-induced dimerization of receptors. In addition, the crystal structure of EGF shares the main features of the NMR structure of mouse EGF determined at pH 2.0, but structural comparisons between different models have revealed new detailed features and properties of the EGF structure.     

The crystal structure of ribonuclease B at 2.5-A resolution

The glycosylated form of bovine pancreatic ribonuclease, RNase B, was crystallized from polyethylene glycol 4000 at low ionic strength in space group C2 with unit cell dimensions of a = 101.81 A, b = 33.36 A, c = 73.60 A, and beta = 90.4 degrees. The crystals, which contained two independent molecules of RNase B as the asymmetric unit, were solved by a combination of multiple isomorphous replacement and molecular replacement approaches. The structures of the two molecules were refined to 2.5-A resolution and a conventional R factor of 0.22 using a constrained-restrained least squares procedure (CORELS). Complexes were also investigated of RNase B plus ruthenium pentaamine and between RNase B and a substrate analogue iodouridine. The polypeptide backbones of the two molecules of RNase B in the asymmetric unit were found to be statistically identical and their differences from RNase A to be statistically insignificant. The carbohydrate chains of both molecules extended into solvent cavities in the crystal lattice and appear to be disordered for the most part. The oligosaccharides appear to exert no influence on the structure of the protein. Iodouridine was observed to bind identically in the pyrimidine site of both RNase B molecules and in a way apparently the same as that previously observed for RNase A. Ruthenium pentaamine bound at histidine 105 of both RNase B molecules in the asymmetric unit, but at a number of secondary sites as well. An array of bound ions was observed by Fo-Fc difference Fourier syntheses. These ions were proximal to lysine and arginine residues at the surface of the proteins while a pair of strong ion binding sites were seen to fall exactly in the active site clefts of both RNase B molecules in the asymmetric unit.     

Crystal structures of active and inactive conformations of a caliciviral RNA-dependent RNA polymerase.

The structure of the RNA-dependent RNA polymerase (RdRP) from the rabbit hemorrhagic disease virus has been determined by x-ray crystallography to a 2.5-A resolution. The overall structure resembles a "right hand," as seen before in other polymerases, including the RdRPs of polio virus and hepatitis C virus. Two copies of the polymerase are present in the asymmetric unit of the crystal, revealing active and inactive conformations within the same crystal form. The fingers and palm domains form a relatively rigid unit, but the thumb domain can adopt either "closed" or "open" conformations differing by a rigid body rotation of approximately 8 degrees. Metal ions bind at different positions in the two conformations and suggest how structural changes may be important to enzymatic function in RdRPs. Comparisons between the structures of the alternate conformational states of rabbit hemorrhagic disease virus RdRP and the structures of RdRPs from hepatitis C virus and polio virus suggest novel structure-function relationships in this medically important class of enzymes.     

Generation of initial molecular dynamics configurations in arbitrary geometries and in parallel

A computational pre-processing tool for generating initial configurations of molecules for molecular dynamics simulations in geometries described by a mesh of unstructured arbitrary polyhedra is described. The mesh is divided into separate zones and each can be filled with a single crystal lattice of atoms. Each zone is filled by creating an expanding cube of crystal unit cells, initiated from an anchor point for the lattice. Each unit cell places the appropriate atoms for the user-specified crystal structure and orientation. The cube expands until the entire zone is filled with the lattice; zones with concave and disconnected volumes may be filled. When the mesh is spatially decomposed into portions for distributed parallel processing, each portion may be filled independently, meaning that the entire molecular system never needs to fit onto a single processor, allowing very large systems to be created. The computational time required to fill a zone with molecules scales linearly with the number of cells in the zone for a fixed number of molecules, and better than linearly with the number of molecules for a fixed number of mesh cells. Our tool, molConfig, has been implemented in the open source C++ code OpenFOAM.     

T4溶菌酶晶体分子堆积的研究

以不对称单位中只有一个分子的１０种不同晶型的Ｔ４溶菌酶晶体为材料,对晶体中的分子堆积进行了研究,结果表明,在溶剂含量较高的晶型中,非极性基团在接触面积中所占的比例略高于溶剂含量较低的晶型,而其极性和带电荷基团在接触面积中所占的比例略低于溶剂含量较低的晶型。溶剂含量较高的晶型多含有晶体学二重轴,二重轴相关的分子间的接触与其他接触相比,含有较少的极性相互作用。这些结果说明溶剂含量的高低可能是由不同结晶     

Structure of oxidized thioredoxin to 4 with 5 A resolution

The structure of the oxidized form of Escherichia coli thioredoxin, space group C2, has been determined from X-ray crystallographic data, to a resolution of 4.5 Å using two heavy-atom derivatives, platinum diaminedichloride and 3-pyridyl mercuric chloride. The electron density maps show the molecular shape and the packing of the thioredoxin molecules as well as the positions of the cupric ions necessary for crystallization of thioredoxin. The shape of the thioredoxin molecule is ellipsoidal with approximate dimensions 25 Å × 34 Å × 35 Å. The two thioredoxin molecules in the asymmetric unit appear very similar. They are related by a translation vector with components (0, 0.1, 0.5) along the axis of the unit cell and not by a 2-fold rotation axis. Each of the two molecules in the asymmetric unit belongs to separate infinite layers of molecules parallel to the xy plane. The basic unit in these layers is a dimer formed by interaction of two thioredoxin molecules across the crystallographic 2-fold axis. The structural role of the cupric ions in the crystal lattice is to bridge these dimers within the layers.     

Structure of holo-glyceraldehyde-3-phosphate dehydrogenase from Bacillus stearothermophilus at 1.8 A resolution

The structure of holo-glyceraldehyde-3-phosphate dehydrogenase from Bacillus stearothermophilus has been crystallographically refined at 1.8 A resolution using restrained least-squares refinement methods. The final crystallographic R-factor for 93,120 reflexions with F greater than 3 sigma (F) is 0.177. The asymmetric unit of the crystal contains a complete tetramer, the final model of which incorporates a total of 10,272 unique protein and coenzyme atoms together with 677 bound solvent molecules. The structure has been analysed with respect to molecular symmetry, intersubunit contacts, coenzyme binding and active site geometry. The refined model shows the four independent subunits to be remarkable similar apart from local deviations due to intermolecular contacts within the crystal lattice. A number of features are revealed that had previously been misinterpreted from an earlier 2.7 A electron density map. Arginine at position 195 (previously thought to be a glycine) contributes to the formation of the anion binding sites in the active site pocket, which are involved in binding of the substrate and inorganic phosphates during catalysis. This residue seems to be structurally equivalent to the conserved Arg194 in the enzyme from other sources. In the crystal both of the anion binding sites are occupied by sulphate ions. The ND atom of the catalytically important His176 is hydrogen-bonded to the main-chain carbonyl oxygen of Ser177, thus fixing the plane of the histidine imidazole ring and preventing rotation. The analysis has revealed the presence of several internal salt-bridges stabilizing the tertiary and quaternary structure. A significant number of buried water molecules have been found that play an important role in the structural integrity of the molecule.     

Enzymatic degradation of monolayer for poly(lactide) revealed by real-time atomic force microscopy: effects of stereochemical structure, molecular weight, and molecular branches on hydrolysis rates

The influences of the stereochemical structure, the molecular weight, and the number of molecular branches for poly(lactide) (PLA) on enzymatic hydrolysis rates of PLA monolayers were studied by atomic force microscopy (AFM) and the Langmuir-Blodgett (LB) technique. Monolayers of six kinds of PLA with different molecular weights, stereochemical structure, and numbers of molecular branches were prepared by LB techniques and then characterized by AFM in air. The PLA molecules covered homogeneously with a silicon substrate and did not form lamellar crystals in the monolayer. We determined the initial hydrolysis rate of PLA monolayers in presence of proteinase K by volumetric analysis from the continuous AFM height images. The presence of D-lactyl unit reduced the hydrolysis rate of the monolayer. The hydrolysis rate for the linear PLLA samples increased with a decrease in the molecular weight. In contrast, the rates of erosion for branched PLLA monolayers were independent of the molecular weight of samples. The erosion rate of branched PLLA monolayers was found to be dependent on the average molecular weight of PLLA segment in branched molecules, not on the overall molecular weight of samples. From these results, furthermore, the hydrolysis mode of PLAs by proteinase K is discussed.     

Streptavidin 2D Crystal Substrates for Visualizing Biomolecular Processes by Atomic Force Microscopy

Flat substrate surfaces are a key to successful imaging of biological macromolecules by atomic force microscopy (AFM). Although usable substrate surfaces have been prepared for still imaging of immobilized molecules, surfaces that are more suitable have recently been required for dynamic imaging to accompany the progress of the scan speed of AFM. In fact, the state-of-the-art high-speed AFM has achieved temporal resolution of 30 ms, a capacity allowing us to trace molecular processes played by biological macromolecules. Here, we characterize three types of streptavidin two-dimensional crystals as substrates, concerning their qualities of surface roughness, uniformity, stability, and resistance to nonspecific protein adsorption. These crystal surfaces are commonly resistant to nonspecific protein adsorption, but exhibit differences in other properties to some extent. These differences must be taken into consideration, but these crystal surfaces are still useful for dynamic AFM imaging, as demonstrated by observation of calcium-induced changes in calmodulin, GroES binding to GroEL, and actin polymerization on the surfaces.     

Amphipathic structure of theonellapeptolide-Id, a hydrophobic tridecapeptide lactone from the Okinawa marine sponge Theonella swinhoei

Theonellapeptolide-Id (TNLP), a cyclic tridecapeptide lactone, was crystallized from dimethylformamide-water solution. In the asymmetric unit, two peptide molecules were combined with solvent molecules, and the total molecular weight was over 3000 Dalton. The crystal structure including solvent molecules was finally determined at 0.80 A resolution using synchrotron radiation. The conformations of two independent molecules were similar to each other and were also similar to the previously reported structure (Doi, Ishida, Kobayashi, Deschamps and Flippen-Anderson, 1999, Acta Crystallogr Sect C, 55, 796-798). About 13 hydrated water molecules were found at disordered 19 sites; they were located at a certain region to avoid contact with aliphatic side-chains of peptolide in the crystal. The spatial disposition of the solvent molecules and peptides subsequently caused the formation of the amphipathic layer.     

The atomic resolution crystal structure of the YajL (ThiJ) protein from Escherichia coli: a close prokaryotic homologue of the Parkinsonism-associated protein DJ-1

The Escherichia coli protein YajL (ThiJ) is a member of the DJ-1 superfamily with close homologues in many prokaryotes. YajL also shares 40% sequence identity with human DJ-1, an oncogene and neuroprotective protein whose loss-of-function mutants are associated with certain types of familial, autosomal recessive Parkinsonism. We report the 1.1 angstroms resolution crystal structure of YajL in a crystal form with two molecules in the asymmetric unit. The structure of YajL is remarkably similar to that of human DJ-1 (0.9 angstroms C(alpha) RMSD) and both proteins adopt the same dimeric structure. The conserved cysteine residue located in the "nucleophile elbow" is oxidized to either cysteine sulfenic or sulfinic acid in the two molecules in the asymmetric unit, and a mechanism for this oxidation is proposed that may be valid for other proteins in the DJ-1 superfamily as well. Rosenfield difference matrix analysis of the refined anisotropic displacement parameters in the YajL structure reveals significant differences in the intramolecular flexibility of the two non-crystallographic symmetry-related molecules in the asymmetric unit. Lastly, a comparison of the crystal structures of the four different E.coli members of the DJ-1 superfamily indicates that the variable oligomerization in this superfamily is due to a combination of protein-specific insertions into the core fold that form specific interfaces while occluding others plus optimization of residues in the structurally invariant regions of the core fold that facilitate protein-protein interactions.     

A flavodoxin that is required for enzyme activation: the structure of oxidized flavodoxin from Escherichia coli at 1.8 A resolution.

In Escherichia coli, flavodoxin is the physiological electron donor for the reductive activation of the enzymes pyruvate formate-lyase, anaerobic ribonucleotide reductase, and B12-dependent methionine synthase. As a basis for studies of the interactions of flavodoxin with methionine synthase, crystal structures of orthorhombic and trigonal forms of oxidized recombinant flavodoxin from E. coli have been determined. The orthorhombic form (space group P2(1)2(1)2(1), a = 126.4, b = 41.10, c = 69.15 A, with two molecules per asymmetric unit) was solved initially by molecular replacement at a resolution of 3.0 A, using coordinates from the structure of the flavodoxin from Synechococcus PCC 7942 (Anacystis nidulans). Data extending to 1.8-A resolution were collected at 140 K and the structure was refined to an Rwork of 0.196 and an Rfree of 0.250 for reflections with I > 0. The final model contains 3,224 non-hydrogen atoms per asymmetric unit, including 62 flavin mononucleotide (FMN) atoms, 354 water molecules, four calcium ions, four sodium ions, two chloride ions, and two Bis-Tris buffer molecules. The structure of the protein in the trigonal form (space group P312, a = 78.83, c = 52.07 A) was solved by molecular replacement using the coordinates from the orthorhombic structure, and was refined with all data from 10.0 to 2.6 A (R = 0.191; Rfree = 0.249). The sequence Tyr 58-Tyr 59, in a bend near the FMN, has so far been found only in the flavodoxins from E. coli and Haemophilus influenzae, and may be important in interactions of flavodoxin with its partners in activation reactions. The tyrosine residues in this bend are influenced by intermolecular contacts and adopt different orientations in the two crystal forms. Structural comparisons with flavodoxins from Synechococcus PCC 7942 and Anaebaena PCC 7120 suggest other residues that may also be critical for recognition by methionine synthase.