Real space refinement of acto-myosin structures from sectioned muscle

We have adapted a real space refinement protocol originally developed for high-resolution crystallographic analysis for use in fitting atomic models of actin filaments and myosin subfragment 1 (S1) to 3-D images of thin-sectioned, plastic-embedded whole muscle. The rationale for this effort is to obtain a refinement protocol that will optimize the fit of the model to the density obtained by electron microscopy and correct for poor geometry introduced during the manual fitting of a high-resolution atomic model into a lower resolution 3-D image. The starting atomic model consisted of a rigor acto-S1 model obtained by X-ray crystallography and helical reconstruction of electron micrographs. This model was rebuilt to fit 3-D images of rigor insect flight muscle at a resolution of 7 nm obtained by electron tomography and image averaging. Our highly constrained real space refinement resulted in modest improvements in the agreement of model and reconstruction but reduced the number of conflicting atomic contacts by 70% without loss of fit to the 3-D density. The methodology seems to be well suited to the derivation of stereochemically reasonable atomic models that are consistent with experimentally determined 3-D reconstructions computed from electron micrographs.     

Ferrochelatase activity in wild-type and mutant strains of Spirillum itersonii. Solubilization with chaotropic reagents

New low-angle X-ray diffraction data have been obtained from nerve myelin after rehydration. The X-ray patterns show the first six orders of diffraction of a lamellar repeat unit of about 100 Å. Direct methods of structure analysis have been used to determine uniquely the phases of the first three orders of diffraction. The electron density profile of rehydrated nerve myelin has been obtained on an absolute electron density scale and is compared with the electron density profile of normal nerve myelin at the same resolution of 16–17 Å. Possible electron-density profiles of rehydrated nerve myelin at a resolution of 8 Å are shown.     

Fibrinogen structure in projection at 18 A resolution. Electron density by co-ordinated cryo-electron microscopy and X-ray crystallography

Electron microscope images of frozen-hydrated crystals of a proteolytically modified fibrinogen show excellent preservation of the structure. An electron density map of the key centric projection of the crystal at 18 A resolution has been obtained by combining the phases derived from cryo-electron microscopy with X-ray amplitudes. Simulation methods developed in earlier studies have been used to interpret the map. In contrast to the earlier images, the map allows us to visualize the coiled-coil region of the molecule and possible substructure in the beta domains. The map also shows that there is a marked difference in density in the two regions corresponding to the molecular ends where the gamma domains interact. A possible interpretation of this finding is provided by assuming substructure in the gamma domains and the breaking of molecular symmetry where these domains interact. Some additional constraints useful for the determination of the three-dimensional structure were obtained from cryo-electron micrographs of a perpendicular view at 25 A resolution. Implications of this working model for the molecular length and contacts in the filaments in both the crystal and fibrin are described. The data used here will be valuable as a starting point for obtaining the three-dimensional structure.     

Combined use of freeze-fracture electron microscopy and X-ray diffraction for the structure determination of three-dimensionally ordered specimens

The cubic phases of lipid-water systems have been studied by freeze-fracture electron microscopy. The preservation of the sample structure following cryofixation was verified by low temperature X-ray diffraction. Different types of fracture planes were identified; all display highly ordered two-dimensional domains, each subdivided into sub-domains related to each other by displacements and rotations related to the symmetry of the space group. The images were filtered using cross-correlation averaging techniques and the filtered images were compared to the corresponding planar sections of the electron density maps. Several conclusions were drawn: 1) when properly cryofixed, as assessed by low temperature X-ray diffraction, the structure of the sample was well preserved in the replicas; 2) the symmetry of the space group was faithfully reflected in the electron microscope images; 3) the crystallographic orientations of the most frequently identified'fracture planes coincided with those of the most intense X-ray reflections indicating that the fracture propagates, preferentially, in regions where the electron density variations are the largest; 4) when different structural models are compatible with X-ray diffraction data, it is possible to determine the correct model by comparing the filtered images with sections of the corresponding electron density maps; and 5) this approach constitutes a new and powerful tool of general interest for the low resolution study of three-dimensionally ordered specimens.     

Quantitation of molecular densities by cryo-electron microscopy. Determination of the radial density distribution of tobacco mosaic virus.

We have determined the absolute mass and radial scattering density distribution of tobacco mosaic virus in the frozen-hydrated state by energy-filtered low-dose bright-field transmission electron microscopy. The absolute magnitude of electron scattering from tobacco mosaic virus in 150 nm of ice was within 3.0% of that predicted, with inelastic scattering accounting for approximately 80% of the scattering contrast. In order to test the accuracy of the radial reconstruction, a computer model of tobacco mosaic virus was built from the atomic co-ordinates assuming uniform solvent density. The validity of the model was confirmed by comparison of X-ray scattering and predictions of the model (R factor = 0.05). First-order corrections for the microscope contrast transfer function were necessary and sufficient for conversion of the cryo-electron microscopy images into accurate representations of the mass density. At 1.9 nm resolution the compensated reconstruction and model had density peaks of similar magnitude at 2.4, 4.2, 6.0 and 7.8 nm radius and a central hole of 2 nm radius. Equatorial Fourier transforms of the corrected electron images were in excellent agreement with predictions of the model (R factor = 0.12). Thus, the uniform solvent approximation was adequate at 1.9 nm resolution to describe quantitatively X-ray scattering in liquid water and electron imaging in vitreous ice. This is the first demonstration that cryo-electron microscopy images can be used to quantitate the absolute mass, mass per unit length and internal density distributions of proteins and nucleic acids.     

Densitometry from digitized images of X-radiographs: Methodology for measurement of coral skeletal density

Skeletons of massive coral colonies contain annual density bands that are revealed by X-radiography of slices cut along growth axes. These bands allow measurement of skeletal growth parameters such as annual extension rate and annual calcification rate. Such measurements have been important in understanding coral growth, in assessing environmental impacts and in recovering proxy environmental information. Measurements of coral calcification rate from annual density banding require measurements of skeletal density along tracks across skeletal slices and, until now, such density measurements have depended upon specialized and expensive equipment. Here, we describe a straightforward, inexpensive and accurate technique for measuring skeletal density from digitized images of X-radiographs of coral skeletal slices. An aragonitic step-wedge was included in each X-radiograph of a coral slice together with two aluminium bars positioned along the anode-cathode axis. Optical density was measured along tracks across the X-ray images of these different objects. The aragonite step-wedge provided a standard for converting optical density to skeletal density. The aluminium bars were used to correct for the heel effect—a variation in the intensity of the X-ray beam along the anode-cathode axis that would, otherwise, introduce large errors into measurements of skeletal density. Exposure was found to vary from X-radiographs to X-radiograph, necessitating the inclusion of the calibration standards in each X-radiograph of a coral slice. Results obtained using this technique compared well with results obtained by direct gamma densitometry of skeletal slices.     

Structure of fully hydrated fluid phase DMPC and DLPC lipid bilayers using X-ray scattering from oriented multilamellar arrays and from unilamellar vesicles

Quantitative structures of the fully hydrated fluid phases of dimyristoylphosphatidylcholine (DMPC) and dilauroylphosphatidylcholine (DLPC) were obtained at 30 degrees C. Data for the relative form factors F(q(z)) for DMPC were obtained using a combination of four methods. 1), Volumetric data provided F(0). 2), Diffuse x-ray scattering from oriented stacks of bilayers provided relative form factors |F(q(z))| for high q(z), 0.22 < q(z) < 0.8 A(-1). 3), X-ray scattering from extruded unilamellar vesicles with diameter 600 A provided |F(q(z))| for low q(z), 0.1 < q(z) < 0.3 A(-1). 4), Previous measurements using a liquid crystallographic x-ray method provided |F(2 pi h/D)| for h = 1 and 2 for a range of nearly fully hydrated D-spacings. The data from method 4 overlap and validate the new unilamellar vesicles data for DMPC, so method 4 is not required for DLPC or future studies. We used hybrid electron density models to obtain structural results from these form factors. Comparison of the model electron density profiles with that of gel phase DMPC provides areas per lipid A, 60.6 +/- 0.5 A(2) for DMPC and 63.2 +/- 0.5 A(2) for DLPC. Constraints on the model provided by volume measurements and component volumes obtained from simulations put the electron density profiles rho(z) and the corresponding form factors F(q(z)) on absolute scales. Various thicknesses, such as the hydrophobic thickness and the steric thickness, are obtained and compared to literature values.     

Structure of porcine heart cytoplasmic malate dehydrogenase: combining X-ray diffraction and chemical sequence data in structural studies

The amino acid sequence of cytoplasmic malate dehydrogenase (sMDH) has been determined by a combination of X-ray crystallographic and chemical sequencing methods. The initial molecular model incorporated an "X-ray amino acid sequence" that was derived primarily from an evaluation of a multiple isomorphous replacement phased electron density map calculated at 2.5-A resolution. Following restrained least-squares crystallographic refinement, difference electron density maps were calculated from model phases, and attempts were made to upgrade the X-ray amino acid sequence. The method used to find the positions of peptides in the X-ray structure was similar to those used for studying protein homology and was shown to be successful for large fragments. For sMDH, X-ray methods by themselves were insufficient to derive a complete amino acid sequence, even with partial chemical sequence data. However, for this relatively large molecule at medium resolution, the electron density maps were of considerable help in determining the linear position of peptide fragments. The N-acetylated polypeptide chain of sMDH has 331 amino acids and has been crystallographically refined to an R factor of 19% for 2.5-A resolution diffraction data.     

Effect of the fluctuations in electron density within a globular protein on the excess small-angle X-ray scattering

Excess small angle X-ray scattering in solvents of differing electron density has been calculated from the crystal structures obtained for rubredoxin, trypsin inhibitor, myogen, ferricytochrome c₂, ribonuclease S, lysozyme, nuclease, myoglobin, α-chymotrypsin, elastase, subtilisin, carboxypeptidase A, thermolysin, methemoglobin, deoxyhemoglobin, and a single polypeptide chain of M₄ lactate dehydrogenase. The scattering curves for each protein can be reproduced by the sum of three curves, with the weighting of the three curves depending on the electron density of the solvent. The radius of gyration obtained from the small angle X-ray scattering by globular proteins in aqueous solution will usually exceed the values defined by the shape of the macromolecule. Deviations for certain of the proteins cited are calculated to be as large as 6%. These deviations arise from the tendency for the amino acid residues with low electron density to be situated closer to the center of the protein than the amino acid residues of high electron density. An upper limit of 19% is obtained for the discrepancy between the radius of gyration defined by the shape of a spherical globular protein of typical amino acid composition and the apparent radius of gyration measured for that protein in water by small angle X-ray scattering.     

Helical structure of P pili from Escherichia coli. Evidence from X-ray fiber diffraction and scanning transmission electron microscopy.

The structure of the P pili from Escherichia coli has been studied using X-ray fiber diffraction and scanning transmission electron microscopy (STEM). Analysis of the fiber diffraction data indicates that the pili are constituted largely of structural subunits arranged helically with approximately 33 subunits in 10 turns in an axial repeat of 244.5 +/- 1.8 A. Radial electron density distributions calculated from equatorial diffraction data and STEM data indicate that the pili are about 65 A in diameter with a small central cavity roughly 15 A across. The principal protein component of the pili is PapA, which has a molecular weight of 16.5 kDa. Assuming that each subunit consists of a single PapA molecule, the mass-per-unit-length of the pili predicted from the X-ray data is 2.23 kDa/A. Measurements of mass-per-unit-length were also made through the analysis of STEM images. These measurements indicate a value of 2.13 +/- 0.14 kDa/A. STEM images demonstrated the presence of thin, thread-like structures emerging from the ends of pili and spanning breaks in the pili structure. These structures, which have been observed under other conditions, have been termed fibrillae. In the STEM images the fibrillae appear about 20 A in diameter. The mass-per-unit-length of the fibrillae was estimated using the STEM data to be 0.4 kDa/A. These data are consistent with the fibrillae representing an unwound or unraveled form of the pili proteins overstretched to about five times the length they would have in the intact pili.     

Structure of the 300A chromatin filament: X-ray diffraction from oriented samples

X-ray diffraction patterns have been obtained from partially oriented samples of 300A chromatin filaments. The chromatin was prepared by methods that preserve its structure, and conditions were found in which the 300A filaments spontaneously form ordered aggregates, so that it was not necessary to pull fibers. The diffraction patterns show a meridional band at 110A, and equatorial bands at 340, 57, 37, and 27A. These patterns, together with patterns calculated from the known 7A electron density map of the nucleosome core particle, imply side-to-side packing of nucleosomes in the direction of the 300A filament, and radial packing around it. These results are consistent with the "solenoid" model of Finch and Klug, and are inconsistent with many other proposed models.     

xRing—An R package to identify and measure tree-ring features using X-ray microdensity profiles

Climate influences tree-ring density and ring-density variables extracted from X-ray images have been widely used for climate reconstructions. The R package xRing was developed to identify and measure tree rings on X-ray microdensity profiles automatically. This package is available for free and it offers functions to visualize and calibrate X-ray images, to detect tree-ring borders and to identify earlywood-latewood transition using wood density variations at the inter- and the intra-ring scale. The most important functions are calibrateFilm, detectRings, correctRings, detectEwLw, and getDensity. Outputs of these functions are S3 objects, for which specific methods are provided, including plot and print. The non-linear relationship between optical density of the film and wood density is defined by the function calibrateFilm. The function detectRings detects tree rings using wood density profiles as input. This function uses the difference between local maximum and minimum values to identify tree-ring borders automatically. The correctRings function is used to call a Graphical User Interface (GUI) to visualize and to correct tree-ring borders manually. After correcting tree-ring borders, the detectEwLw function is used to compute earlywood and latewood widths by dividing rings according to relative intra-ring density changes. The getDensity function computes for each tree ring the minimum (maximum) density and the mean earlywood, latewood and whole-ring density. Finally, a list with dataframes with tree-ring width and density variables can be obtained using the function getRwls. One of the major advantages of xRing package is that requires little knowledge of R language, but at the same time it can be easily changed or adapted by experienced users.     

A system for the three-dimensional construction,manipulation and display of microbiological models

A system is described for building up serial sections into a three dimensional structure, incorporating density, that can be displayed and then further manipulated by rotation about three orthogonal axes. The initial application was to produce a computer model of a protein structure and to compare the diverse images obtained from rotation with the two dimensional images observed in related electron micrographs. To obtain sufficient contrast in the electron microscope images of protein structures, the specimens need to be stained and since this can cause some deformation of the observed images, it is also necessary to simulate the possible effects of stain on the protein model. Because of the need to compare numerous orientations of the combined model, techniques are available either for speeding up the comparison or for obtaining better accuracy. The methods have been applied to the interpretation of electron micrograph images of microbiological specimens, where the three dimensional structure of the specimen is an important aid in understanding its biological function, but the techniques are also applicable to more general serial reconstruction requirements.     

The structure of DNA as deduced from fiber X-ray crystallography

X-ray diffraction patterns obtained experimentally for fibers, together with their chemical structures, can be analyzed theoretically in terms of an integral equation. The partially unknown electron density function can be solved by iteration. This mathematical technique has been applied with success to study the secondary structures of DNA fibers.     

Interpretation of the meridional X-ray diffraction pattern from collagen fibrils in corneal stroma

The low angle X-ray diffraction pattern from corneal stroma can be interpreted as arising from the equivalent of sharp meridional reflections due to the packing of molecules along the collagen fibrils and an equatorial pattern due to the packing of these fibrils within lamellae.Axial electron density profiles for corneal collagen fibrils have been produced by combining intensity data from the meridional pattern with two independent sets of phases. The first set was obtained using an electron microscopical technique, whereas the second set consisted of calculated tendon collagen phases given in the literature. Substantial agreement between the two electron density profiles was found.A quantitative analysis of the difference between the electron density profiles of rat tail tendon and corneal collagen showed that the step between the gap and overlap regions is smaller in cornea than in tendon. This is probably due to the binding of non-collagenous material in the gap region as occurs in bone and other tissue. Two peaks corresponding to regions where electron density is greater in the cornea are situated at the gap/overlap junctions. A third region where the corneal collagen is more electron dense is located near the centre of the gap region. The proximity of these peaks to the positions of hydroxylysine residues along the fibril axis suggests that they may be the major sites at which sugars are bound to corneal collagen.     

生物三维电子显微学进入全新高速发展时期

生物三维电子显微学主要由三个部分组成——电子晶体学、单颗粒技术和电子断层成像术,其结构解析对象的尺度范围介于x射线晶体学与光学显微镜之间,适合从蛋白质分子结构到细胞和组织结构的解析。以冷冻电镜技术与三维重构技术为基础的低温电子显微学代表了生物电子显微学的前沿。低温单颗粒技术对于高度对称的病毒颗粒的解析最近已达到3．8A分辨率,正在成为解析分子量很大的蛋白质复合体高分辨结构的有效技术手段。低温电子断层成像技术目前对于真核细胞样品的结构解析已达到约40A的分辨率,在今后5年有望达到20A。这样,把x射线晶体学、NMR以及电镜三维重构获得的蛋白质分子及复合体的高分辨率的结构,锚定到较低分辨率的电子断层成像图像中,从而在细胞水平上获得高精确的蛋白质空间定位和原子分辨率的蛋白质相互作用的结构信息。这将成为把分子水平的结构研究与细胞水平的生命活动衔接起来的可行途径。     

Low dose electron microscopy of the crotoxin complex thin crystal

The crotoxin complex from Crotalus d. terrificus rattlesnake venom was crystallized in the form of thin platelets. These crystals were prepared by the glucose embedding technique and examined by low dose electron microscopy. Electron diffraction patterns and images have been recorded to 2.2 and 4.5 A, respectively. By a combination of electron and X-ray diffraction techniques, the space group of this crystal was determined to be P4(2)22 with eight crotoxin complex molecules in one unit cell with dimensions of 38.8 A x 38.8 A x 256.8 A. The Patterson maps and the symmetry reliability factors calculated from the electron diffraction intensities clearly showed the existence of three types of electron diffraction patterns in different crystals. The phases in the computer-calculated transform of the low dose images also show the variation in symmetry among crystals. These phenomena are explained by the presence of crystals consisting of one-half, three-quarter and one unit cell in thickness. The interpretation of the computer reconstructed two-dimensional density map was limited, partly because of the similarity in density between the protein and the embedding glucose and partly because of the non-uniqueness in relating projected structure to the three-dimensional structure.     

Crystallization and Analyses of Crystals of Various Chemotypes of R-Form Lipopolysaccharides from Salmonella Spp.

Various chemotypes (Re, Rd₂, Rd₁P^–, Rd₁, RcP^–, Rc, Rb₃, Rb₂, Rb₁, and Ra) of R-form lipopolysaccharides (LPSs) of Salmonella spp. were crystallized by treatment with 70% ethanol containing 250 mM MgCl₂, and crystals of the LPSs were observed electron microscopically and analyzed by electron diffraction and synchrotron X-ray diffraction. All the LPSs tested formed three-dimensional crystals showing very similar shapes; hexagonal plate, solid column, discoid, square or rectangular plate, lozenge plate and truncated hexangular or rectangular pyramid forms. Electron diffraction patterns from the hexagonal plate crystals of all these LPSs obtained by electron irradiation from the direction perpendicular to the basal plane showed that they consist of hexagonal lattices with the lattice constant of 4.62 Å. The crystals of all the LPSs thus formed gave ring-like X-ray diffraction patterns because of their small sizes. The long-axis values were calculated from the X-ray diffraction patterns from crystals of all the LPSs in the low-angle region and they corresponded roughly to the length of the proposed primary chemical structures of the R cores of the LPSs. The volume occupied by a single molecule of all the LPSs were calculated from the molecular weights based on the proposed structures and the crystallographic data obtained by electron diffraction, X-ray diffraction, and density determination.     

Structure of photosynthetic membranes of Euglena using X-ray diffraction

Novel X-ray diffraction results of membranes from chloroplasts of Euglena are presented, together with freeze-etch images obtained concurrently. Conditions were found for sharp lamellar reflections corresponding to ordered stacking of thylakoids. The periodicity measured by diffraction agrees well with that observed by microscopy. Intensities of diffraction were analysed in order to calculate the electron density distributions across the membranes. Some arguments in favour of the preferred phases of the reflection are given. The distributions indicate firstly the presence of 25 Å-wide regions where the hydrocarbon chains of the membrane lipids are concentrated. This result is discussed in terms of structural models for the chloroplast membrane. Comparison with results of freeze-etching indicates where in the density distribution are the regons inside and outside the membrane sacs. Secondly, the density distributions show maxima on the outside of the membranes only, corresponding possibly to an asymmetrical distribution of lipids.