Three-dimensional reconstruction of the flagellar hook from Caulobacter crescentus

The structure of the bacterial flagellar hook produced by a mutant of Caulobacter crescentus was studied by electron microscopy, optical diffraction, and digital image processing techniques. The helical surface lattice of the hook is defined by a single, right-handed genetic helix having a pitch of about 23 Å, an axial rise per subunit of 4 Å and an azimuthal angle between subunits of 64·5 °. The lattice is also characterized by intersecting families of 5-start, 6-start and long-pitch 11-start helices. These helical parameters are remarkably similar to those determined for the flagellar filaments from several strains of gram-negative bacteria. The technique of three-dimensional image reconstruction (DeRosier & Klug, 1968) was applied to nine of the better preserved specimens and the diffraction data from five of these were correlated and averaged and used to generate an average three-dimensional model of the hook. The pattern of density modulations in the three-dimensional model is suggestive of an elongated, curved shape for the hook subunit (100 Å × 25 Å × 25 Å). The subunits are situated in the lattice of the polyhook such that their long axes are tilted about 45 ° with respect to the hook axis. The subunits appear to make contact with each other along the 6-start helices at a radius of 80 Å and also along the 11-start helices at a radius of 65 Å. Few structural features are revealed at radii between 15 å and 45 Å and, therefore, we are unable to decide to what extent the hook subunits extend into this region. The most striking characteristic of the model is the presence of deep, broad, continuous 6-start helical grooves extending from an inner radius of about 50 Å to the perimeter of the particle at 105 Å radius. Normal hooks usually appear curved in electron micrographs and sometimes so are the mutant hooks; the prominent 6-start grooves appear to allow for bending with minimal distortion of matter in the outer regions of the hook. A round stain-filled channel about 25 Å in diameter runs down the center of the polyhook. Such a channel supports a model for flagellar assembly in which flagellin subunits travel through the interior of the flagellum to the growing distal end of the filament.     

Structural repeats and evolution of tobacco mosaic virus coat protein and RNA

The three-dimensional structure of the tobacco mosaic virus (TMV) coat protein disk suggests a possible pathway for the early evolution of the virus self-assembly mechanism.The coat protein contains a 2-fold repeated structural pattern in the folding of both its four alpha helices (A,B,C,D), which run alternately forward and back along the radius of the disk, and the four-stranded antiparallel pleated sheet which links these helices to the hydrophobic girdle at the outer rim of the disk. Helices A and B can be approximately superposed on C and D by a screw rotation about a molecular pseudo-dyad axis which lies nearly parallel to the plane of the protein disk. This operation relates 29 pairs of α-carbon positions with a root-mean-square deviation of 1.77 Å. A second pseudo-dyad in the pleated-sheet region relates 14 more atom pairs with a deviation of 2.32 Å and forms a distorted continuation of the relationship between the helices. The helix dyad also relates repeated pairs of functionally important amino acids which take part in intersubunit contacts.We have analysed these structural repeats and tested their significance by comparing them with repeats in other “helix quartet” proteins, cytochrome b⁵ and the hemerythrins, as well as with an irregular helix cluster in thermolysin. TMV is noticeably more repetitive than the others, including hemerythrin which is thought to have evolved by gene duplication.We propose that the primitive TMV coat protein was a dimeric structure of two smaller units paired about a 2-fold axis. Each unit was a pair of helices, linked at the inner radius of the virus rod by a short bend, where the RNA binding site formed, and connected at the outer radius by two short strands of beta sheet. A tandem gene duplication joined the two units and formed the present helix quartet. The flexible loop which now runs into the centre of the virus and connects helix C to helix D developed later. The assembly origin RNA may have evolved from part of the coat protein RNA which codes for this loop.     

Conformational calculations on the Ala14-Pro27 LCI segment of rabbit skeletal myosin

In order to define the conformational characteristics of a singular Ala¹⁴-Pro²⁷ segment in myosin LC1, conformational calculations were performed using the Simplex algorithm of Nelder and Mead (Computer J. 7 (1965) 308–313) in the ACME program proposed by Tournarie (J. Appl. Cryst. 6 (1973) 309–346). The (Ala-Pro) n = 1 unit was assigned a given conformation x; the conformation energy was then minimized for n = 1 to n = 7 by adjusting structural parameters (angle values). Similarly, 13 different possible conformations were optimized and compared, showing that a (β₂R)₇ conformation is favored by about 20 kcal per mol over the next most probable conformation (C₇R)₇. In the β₂R conformation, the (Ala-Pro)₇ segment is a wide helix, 15 Å in length and 8.65 Å in diameter, while the C₇R conformation results in a semi-extended structure of 25 Å long, with an approximate diameter of 6 Å. These characteristics are in agreement with available experimental data and putative functions of the LC1 N-terminus.     

f-Element/crown ether complexes. 26. Crystallization of two hydrated forms of hydrogen bonded complexes of NdCl3·nH2O and 15-crown-5. Crystal structures of [Nd(OH2)9]Cl3·15-crown-5·H2O and [NdCl2(OH2)6]Cl·15-crown-5

When slowly evaporated, the reaction of NdCl₃· nH₂O with 15-crown-5 in a 3:1 mixture of acetonitrile:methanol produces two crystalline hydrates. The decahydrate, [Nd(OH₂)₉]Cl₃·15-crown-5·H₂O, is orthorhombic, P2₁2₁2₁, with (at −150 °C) a = 10.571(4), b = 15.220(7), c = 15.686(7) Å, and D_calc = 1.71 g cm⁻³ for Z = 4. These crystals are stable to the moisture in air. Each Nd is nine-coordinate with tricapped trigonal prismatic geometry. The nine coordinated water molecules are hydrogen bonded to two symmetry related crown ethers, all three chloride ions, and the tenth water molecule. The crown has a total of six hydrogen bonds, four on one side (two to a single oxygen atom) and two on the other. This ether exhibits conformational disorder. The hexahydrate, [NdCl₂(OH₂)₆]Cl·15-crown-5 is deliquescent, dissolving in air and recrystallizing as [NdCl₂(OH₂)₆]Cl. Crystals of this complex are monoclinic, P2₁/n, with (at 20 °C) a = 9.821(3), b = 16.978(9), c = 12.849(8) Å, β = 94.06(5)°, and D_calc = 1.80 g cm⁻³ for Z = 4. The Nd atom exists in a distorted dodecahedral geometry with one chlorine in an A site and one in a B site. The coordinated chlorine atoms accept hydrogen bonds producing polymeric zigzag hydrogen bonded chains along c. The third noncoordinated chloride ion accepts four hydrogen bonds, three from one formula unit and one from a second formula unit related by a unit translation along a. The crown ethers accept five hydrogen bonds, two on one side, and three on the other, thus separating the zigzag chains along b.     

f-Element/crown ether complexes. 1. Synthesis and structure of [Y(OH2)8]Cl3·(15-crown-5)

The crystal and molecular structure of [Y(OH₂)₈]Cl₃·(15-crown-5) has been determined by single- crystal X-ray diffraction. The complex crystallizes in the monoclinic space group P2₁/n with Z = 4. Lattice parameters are a = 9.202(2), b = 17.247(3), c = 15.208(3) Å, and β = 92.39(2)°. The structure was solved by Patterson and Fourier techniques and refined by least-squares to a final conventional R value of 0.081. The Y(III) ion is eight coordinate, bonded to the oxygen atoms of the eight water molecules. Three of the water molecules are hydrogen bonded to crown ether molecules. The three chloride ions participate in hydrogen bonds with the remaining five water molecules. The YO(water) distances range from 2.322(6) to 2.432(7) Å and average 2.37(4) Å. The average O(water)···Cl and O(water)···O(crown) hydrogen bonded separations are 3.08(4) and 2.76(7) Å, respectively.     

The three-dimensional structure of mitochondrial aspartate aminotransferase at 4.5 A resolution

An X-ray crystallographic study at 4.5 Å resolution has been carried out with triclinic crystals of chicken mitochondrial aspartate aminotransferase.In the electron density map, the enzyme is clearly visible as an isologous α₂-dimer (105 Å × 60 Å × 50 Å) in which the subunits are associated about a molecular 2-fold axis. Each subunit of dimensions 70 Å × 50 Å × 40 Å contains at least seven helices, one of which is about 50 Å long.Difference maps have revealed the positions of the pyridoxyl and the phosphate moieties of the coenzyme as well as the general substrate binding area. The active sites are on opposite sides of the dimer, about 30 Å apart and close to the intersubunit boundary, so that probably both subunits contribute to each active site. An isolated chain segment, passing in front of the active site and ending in contact with the neighbouring subunit is interpreted as one of the chain termini.     

Structural studies of bacteriophage lambda heads and proheads by small angle X-ray diffraction.

We have examined a series of lambda proheads and mature structures by small angle X-ray diffraction. This technique yields spherically averaged density distributions and some information about surface organization of particles in solution.We find that gpE ² of proheads and heads forms shells with one of two radii; A^?, B^?, groE^?, and Nu3^? proheads have shells of radius 246 Å, while mature heads, urea-treated A^? proheads and C^? proheads have a radius of 300 Å. The expansion of proheads to mature heads is accompanied by a corresponding decrease in the thickness of the shell. groE^? proheads contain a core. This core is lost spontaneously from the structure and is only observed if the structures are fixed with glutaraldehyde prior to examination by X-ray diffraction or electron microscopy.C^? proheads expand to mature head size spontaneously. A preparation of C^? proheads which was fixed with glutaraldehyde at an early stage of the purification had the smaller, prohead radius. Unfixed particles from this preparation expanded to the mature head size after further purification and standing in the cold for several days. This result suggests that gpC may be involved in regulating head expansion.The radii of the protein shells of mature heads are identical for a series of phages that contain between 78% and 105% of the wild-type complement of DNA, and this radius is the same as that of proheads expanded in the absence of DNA. These results with phage lambda indicate that assembly of a double shell structure composed of coat and scaffolding protein, followed by expansion to a larger shell containing only coat protein is a general feature of the morphogenesis of dsDNA phages.     

Small-angle X-ray scattering studies of Escherichia colil-asparaginase

Small angle X-ray scattering studies on Escherichia colil-asparaginase solutions show that the enzyme has a radius of gyration of 34.0 Å ± 0.5 Å at pH 7. The radius of gyration of the dissociated monomer is 16.0 Å ± 1.0 Å; it has the general shape of a prolate ellipsoid with an axial ratio of 1.4. A tetramer of four such ellipsoids arranged with 222 symmetry gives good agreement between measured and calculated radii of gyration if the distance between subunit centers is 43 Å. The tetramer dissociates on dilution below 1% and at pH values below 3.0. Acid-induced denaturation at pH 2.0 is irreversible in contrast to the reversible guanidine-HCl-induced denaturation.     

Geometry of experimentally observed RNA residues in tRNA and dinucleoside monophosphates: the effect of small variations in the backbone angles.

The polymerization of various experimentally observed conformers of RNA from tRNA and some dinucleoside monophosphates have been examined with a program that computes the basic helix parameters directly from the six backbone torsion angles ω′, ?′, ψ′, ψ, ?, ω to give n (= 360/θ), the number of residues per turn; h, the rise per residue; and r, the radius of the phosphate atoms from the helix axis. The single-stranded regions of tRNA that have A-form residues have a notably lower value of n than the double-stranded regions. The G-U “wobble” base pair is shown to be an energetically strained left-handed form. The A-form dinucleoside monophosphates also have a low value of n. A model of UpAl polymerized as a fourfold left-handed helix with the bases on the outside and phosphates on the inside is investigated for its sharp 90° turn angle characteristics. UpA2 cannot be polymerized due to a low values of h (1.31 Å) and r (2.72 Å), which cause steric hindering. An eightfold model of poly(rA) is discussed as are the nonhelical residues of tRNA. Finally, the effects of small changes in dihedral angles and bond lengths and angles on the helical parameters are investigated and discussed by way of explaining this behavior.     

Filamentous Bacterial viruses

The filamentous bacterial virus is a simple and well-characterized model system for studying how genetic information is transformed into molecular machines. The viral DNA is a single-stranded circle coding for about 10 proteins. The major viral coat protein is largely α-helical, with about 46 amino acid residues. Several thousand identical copies of this protein in a helical array form a hollow cylindrical tube 1–2μ long, of outer diameter 60 Å and inner diameter 20 Å, with the twisted circular DNA extending down the core of the tube. Before assembly, the viral coat protein spans the cell membrane, and assembly involves extrusion of the coat from the membrane. X-ray fibre diffraction patterns of the Pf 1 species of virus at 4°C, oriented in a strong magnetic field, give three-dimensional data to 4 Å resolution. An electron density map calculated from native virus and a single iodine derivative, using the maximum entropy technique, shows a helix pitch of 5.9 Å. This may indicate a stretched A-helix, or it may indicate a partially 3₁₀ helix conformation, resulting from the fact that the coat protein is an integral membrane protein before assembly, and is still in the hydrophobic environment of other coat proteins after assembly.     

Structure of human serum lipoproteins in solution. II. Small-angle x-ray scattering study of HDL and LDL.

Two human serum lipoprotein particles, HDL₃ and LDL, were studied in solution in solvents of variable density (NaBr in water) by small-angle X-ray scattering using a position-sensitive proportional counter. The data were analysed using the theoretical approach outlined in the accompanying paper (Luzzati et al., 1976). The structures of the particles were found to be independent of the salt concentration of the solution (i.e. the particles are impenetrable to NaBr). Density heterogeneities are negligible and size and shape heterogeneities appear to be small.The particle structures could be quantitatively described in terms of a set of parameters and of a few one-dimensional functions. The parameters are the volume, radius of gyration and surface area of the shape functions; the second moment and square average of the electron density contrast at buoyancy; the electron density level, volume, radius of gyration and surface area of the hydrocarbon and polar regions. The one-dimensional functions are: the distribution of chords, the spherical average of the shape function and of the electron density at buoyancy, and the fraction of each spherical shell occupied by the hydrocarbon and polar regions. These parameters and functions are internally consistent and agree with the chemical data confirming the assumptions made in their derivation.The results are compatible with the shape of the particle being compact and quasi-spherical although with deeply convoluted surfaces. They also indicate that the outer layers of the particles are occupied by the proteins and the polar groups of phospholipids and free cholesterol, and the cores by neutral lipids. The maximum diameters of the particles are 130Å and 280Å for HDL₃ and LDL, respectively, while the hydrocarbon cores have diameters of 80Å and 230Å, respectively. The solvent is considered to penetrate to 25Å from the center of the HDL₃ particle with a minimum solvation at a radius of 45Å. In the case of LDL, the solvent penetrates to 55Å from the center of the particle. The lipids in the cores of the particles, particularly the cholesterol esters, appear to display a micelle-like organization with the steroid nuclei segregated in regions distinct from those occupied by the hydrocarbon chains.Although the data are consistent with several aspects of previously proposed models, they indicate that the structures of the HDL₃ and LDL particles are more complex than previously believed.     

RNA double-helical fragments at atomic resolution: II. The crystal structure of sodium guanylyl-3′,5′-cytidine nonahydrate

The crystal structure of sodium guanylyl-3′,5′-cytidine (GpC) nonahydrate has been determined by X-ray diffraction procedures and refined to an R value of 0.054. GpC crystallizes with four molecules per monoclinic unit cell, space group C2, with cell dimensions: $\text{a = 21.460, b = 16.297, c = 9.332}\text{A}\text{?}\text{and}\text{β = 90.54 °}$. Two molecules of GpC related by the 2-fold axis of the crystal form a small segment of right-handed, anti-parallel double-helical RNA in the crystal. Guanine is paired to cytosine through three hydrogen bonds of lengths 2.91, 2.95 and 2.86 Å. The bases along each strand are heavily stacked at a distance of about 3.4 Å. The fragments form skewed flattened rods within the lattice by the inter-molecular stacking of guanines with each other and the stacking of cytosine with the guanosine Ol′atom. The sodium cations are bound only to the ionized phosphate groups in this structure and exhibit face-sharing octahedral co-ordination. The sodium cations serve to bridge the rods of GpC fragments and organize them into sheets within the crystal. There are 18 water molecules per double-helical fragment which are all part of the first co-ordination shell of nitrogen, oxygen or sodium atoms.     

Side-chain conformation in poly(γ-phenethyl-L-glutamate)

X-ray diffraction and energy-minimization results are reported for poly(γ-phenethyl-L -glutamate). Orthorhombic unit-cell parameters of drawn fibers are a = 15.4 Å, b = 26.6 Å, c = 54.4 Å. Atomic coordinates are derived for an α-helix peptide conformation that corresponds to a calculated side-chain internal energy minimum. The side-chain conformation correlates well with the electron density projection; the side chains wrap around the α-helical main chain with the phenethyl ester group directed toward the N-terminus. The para-axis of the benzene ring is inclined at an angle nearly nearly normal to the helix axis. The x-ray structure factors calculated for this model, when compared to the 10 observed structure factors, yield a crystallographic reliability index of R = 0.23.     

Small-angle x-ray scattering study of lysine transfer RNA ligase from yeast

The scattered X-ray intensities from dilute solutions of lysine transfer RNA ligase, in 0.1 m-phosphate buffer at pH 7.0, have been measured at 21 °. The radius of gyration R (37.5 Å), the molecular weight M (114,000), and the volume V (295,000 ų) were determined.A comparison between the scattering curves obtained from the enzyme and the theoretical scattering curves of different triaxial bodies shows that the shape of the molecule can be represented by an oblate ellipsoid with the semiaxes A = 62.7, B = 50.1 and $\text{C = 23.5}\text{A}\text{?}$.     

Studies on coenzyme binding to glyceraldehyde-3-phosphate dehydrogenase.

Tyrosyl-transfer RNA synthetase from Bacillus stearothermophilus has been crystallized as hexagonal plates, $\text{P3}{}_1\text{21, a = b = 64.6}\text{A}\text{?}\text{, c = 238.8}\text{A}\text{?}$, with the dimeric molecule (molecular weight, 90,000) occupying two crystallographic asymmetric units (Reid et al., 1973). Three heavy-atom derivatives have been identified and X-ray diffraction measurements have been made to 2.7 Å resolution, using the oscillation method. The three heavy-atom derivatives were methyl mercury (two sites, half occupied, 3 Å apart), uranyl acetate (single fully occupied site) and chloroplatinite PtCl₄^2? (three sites of differing occupancy). The results were used to compute an electron density map at 2.7 Å resolution, which shows the monomer as a unit of about 60 Å × 60 Å × 40 Å. The maximum dimension of the dimer is about 130 Å. Most of the polypeptide chain has been traced uniquely. It includes five α-helices more than 12 Å long and several shorter helices. A six-stranded pleated-sheet structure lies in the centre of each subunit. The catalytic site of the enzyme is believed to be adjacent to the mercury-binding group.     

Localization of repetitive and unique DNA sequences neighbouring the rabbit beta-globin gene

The structure of oxymyoglobin has been refined at 1·6 Å resolution, using diffractometer data collected at ?12 °C. The crystallographic R factor is 0·159, and the atomic positions are known to 0·1 Å accuracy in internal segments of the molecule.The iron atom lies 0·22(3) Å from the plane of the porphyrin, 0·25 Å closer than in deoxymyoglobin, and the F helix has moved by a similar amount. Oxygen binds to the iron in a bent, end-on arrangement, with FeOO = 115(5) ° and FeO = 1·83(6) Å. The mean FeN(porphyrin) bond length is 1·95(6) Å, 0·08 Å shorter than in deoxymyoglobin, but the difference is not significant compared to the experimental error. FeN_ε(His8F) is 2·07(6) Å, the same as in model compounds. Movements of the haem, iron, F helix and FG corner on oxygenation are similar to those found in the T-R state transition in haemoglobin, but are smaller in magnitude.     

Active and inactive state structures of unliganded Lactobacillus casei allosteric L‐lactate dehydrogenase

Lactobacillus casei L ‐lactate dehydrogenase (LCLDH) is activated through the homotropic and heterotropic activation effects of pyruvate and fructose 1,6‐bisphosphate (FBP), respectively, and exhibits unusually high pH‐dependence in the allosteric effects of these ligands. The active (R) and inactive (T) state structures of unliganded LCLDH were determined at 2.5 and 2.6 Å resolution, respectively. In the catalytic site, the structural rearrangements are concerned mostly in switching of the orientation of Arg171 through the flexible intersubunit contact at the Q‐axis subunit interface. The distorted orientation of Arg171 in the T state is stabilized by a unique intra‐helix salt bridge between Arg171 and Glu178, which is in striking contrast to the multiple intersubunit salt bridges in Lactobacillus pentosus nonallosteric L ‐lactate dehydrogenase. In the backbone structure, major structural rearrangements of LCLDH are focused in two mobile regions of the catalytic domain. The two regions form an intersubunit linkage through contact at the P‐axis subunit interface involving Arg185, replacement of which with Gln severely decreases the homotropic and hetertropic activation effects on the enzyme. These two regions form another intersubunit linkage in the Q‐axis related dimer through the rigid NAD‐binding domain, and thus constitute a pivotal frame of the intersubunit linkage for the allosteric motion, which is coupled with the concerted structural change of the four subunits in a tetramer, and of the binding sites for pyruvate and FBP. The unique intersubunit salt bridges, which are observed only in the R state structure, are likely involved in the pH‐dependent allosteric equilibrium. Proteins 2010. © 2009 Wiley‐Liss, Inc.