Helical structure of unidirectionally shadowed metal replicas of cyanide hydratase from Gloeocercospora sorghi

The helical filaments of the cyanide hydratase from Gloeocercospora sorghi have been reconstructed in three dimensions from freeze dried, unidirectionally shadowed specimens using iterative real-space helical reconstruction. The average power spectrum of all selected images has three clear reflections on different layer lines. The reconstruction is complicated by the fact that three possible indexing schemes are possible and reconstructions using the starting symmetries based on each of these indexing schemes converge on three-dimensional volumes which appear plausible. Because only one side is visible in shadowed specimens, it is necessary to examine the phases from a single filament by cryo-electron microscopy in order to make an unequivocal assignment of the symmetry. Because of the novel nature of the reconstruction method used here, conventional cryo-EM methods were also used to determine a second reconstruction, allowing us to make comparisons between the two. The filament is shown to have a left-handed one-start helix with D(1) symmetry, 5.46 dimers per turn and a pitch of 7.15nm. The reconstruction suggests the presence of an interaction across the groove not previously seen in nitrilase helical fibres.     

Structure of two-dimensional crystals of membrane-bound Na,K-ATPase as analyzed by correlation averaging

The structure of two-dimensional crystals of membrane-bound Na,K-ATPase from rabbit kidney has been analyzed with a correlation averaging procedure. Two principally different crystal forms are observed with p1 and p21 symmetry, respectively. In the p1 form the averaged projection structure shows a triangular shaped protein domain interpreted as a protomer (alpha beta-unit) of Na,K-ATPase. In the p21-form the stain-deficient area is extended toward a twofold symmetry axis. The results are in good agreement with a previous analysis where Fourier methods were applied to well ordered crystals of pig kidney Na,K-ATPase and illustrate that the correlation averaging procedure can be used for the analysis of membrane crystals of Na,K-ATPase showing curved lattice lines.     

Structural polymorphism in bacterial EspA filaments revealed by cryo-EM and an improved approach to helical reconstruction

The traditional Fourier-Bessel approach to three-dimensional reconstruction from electron microscopic (EM) images of helical polymers involves averaging over filaments, assuming a homogeneous structure and symmetry. We have used a real-space reconstruction approach to study the EspA filaments formed by enteropathogenic E. coli. In negative stain, the symmetry of these filaments is ambiguous, and we suggest that such ambiguities may be more prevalent than realized. Using cryo-EM of frozen-hydrated filaments, we find that these filaments have a fixed twist with 5.6 subunits per turn but an axial rise per subunit that varies from about 3.6 A to 5.6 A. Reconstructions at approximately 15 A resolution show a switching between the more compressed and extended filaments in the packing of putative alpha helices around the hollow lumen. Outside of a crystal, where there is nothing to maintain long-range order, the structural polymorphism in helical polymers may be much greater than has been assumed.     

Structure of Na+,K+-ATPase at 11-A resolution: comparison with Ca2+-ATPase in E1 and E2 states

Na+,K+-ATPase is a heterodimer of alpha and beta subunits and a member of the P-type ATPase family of ion pumps. Here we present an 11-A structure of the heterodimer determined from electron micrographs of unstained frozen-hydrated tubular crystals. For this reconstruction, the enzyme was isolated from supraorbital glands of salt-adapted ducks and was crystallized within the native membranes. Crystallization conditions fixed Na+,K+-ATPase in the vanadate-inhibited E2 conformation, and the crystals had p1 symmetry. A large number of helical symmetries were observed, so a three-dimensional structure was calculated by averaging both Fourier-Bessel coefficients and real-space structures of data from the different symmetries. The resulting structure clearly reveals cytoplasmic, transmembrane, and extracellular regions of the molecule with densities separately attributable to alpha and beta subunits. The overall shape bears a remarkable resemblance to the E2 structure of rabbit sarcoplasmic reticulum Ca2+-ATPase. After aligning these two structures, atomic coordinates for Ca2+-ATPase were fit to Na+,K+-ATPase, and several flexible surface loops, which fit the map poorly, were associated with sequences that differ in the two pumps. Nevertheless, cytoplasmic domains were very similarly arranged, suggesting that the E2-to-E1 conformational change postulated for Ca2+-ATPase probably applies to Na+,K+-ATPase as well as other P-type ATPases.     

SPRING – An image processing package for single-particle based helical reconstruction from electron cryomicrographs

Helical reconstruction from electron cryomicrographs has become a routine technique for macromolecular structure determination of helical assemblies since the first days of Fourier-based three-dimensional image reconstruction. In the past decade, the single-particle technique has had an important impact on the advancement of helical reconstruction. Here, we present the software package SPRING that combines Fourier based symmetry analysis and real-space helical processing into a single workflow. One of the most time-consuming steps in helical reconstruction is the determination of the initial symmetry parameters. First, we propose a class-based helical reconstruction approach that enables the simultaneous exploration and evaluation of many symmetry combinations at low resolution. Second, multiple symmetry solutions can be further assessed and refined by single-particle based helical reconstruction using the correlation of simulated and experimental power spectra. Finally, the 3D structure can be determined to high resolution. In order to validate the procedure, we use the reference specimen Tobacco Mosaic Virus (TMV). After refinement of the helical symmetry, a total of 50,000 asymmetric units from two micrographs are sufficient to reconstruct a subnanometer 3D structure of TMV at 6.4 Å resolution. Furthermore, we introduce the individual programs of the software and discuss enhancements of the helical reconstruction workflow. Thanks to its user-friendly interface and documentation, SPRING can be utilized by the novice as well as the expert user. In addition to the study of well-ordered helical structures, the development of a streamlined workflow for single-particle based helical reconstruction opens new possibilities to analyze specimens that are heterogeneous in symmetries.     

Essays on the application of nonclassical symmetries to natural biomorphs

The following symmetries are conventionally termed "nonclassical": conformal symmetry, inversion symmetry, Mikheev homology, curvilinear symmetry, colour symmetry, and antisymmetry. These symmetries are applicable to biomorphs differing in linear dimensions and proportions (such as the shells of bivalves, crustaceans, diatoms, etc.) and to such three-dimensional biomorphs as gastropod shells. These three-dimensional objects used to be substituted so far with two-dimensional images. The shift transformation causing inhomogeneous deformations is discussed in the framework of Mikheev homologies. Antisymmetry and colour symmetry are discussed by the example of flowers, duckweed plants, and the crustacean chela. Early stages of cleavage, like colloid crystals, may be represented as polyhedrons. They have Euler characteristics and face symbols, and, because of this, stages of cleavage may have symmetries of crystals. Mastering nonclassical symmetries may promote the progress of biosymmetrics. The potential of discrete (arithmetical) biomorphology in taxonomy and the potential of continuous (geomertical) biomorphology in biosymmetrics are discussed.     

Structure of HIV-1 Capsid Assemblies by Cryo-electron Microscopy and Iterative Helical Real-space Reconstruction

Cryo-electron microscopy (cryo-EM), combined with image processing, is an increasingly powerful tool for structure determination of macromolecular protein complexes and assemblies. In fact, single particle electron microscopy¹ and two-dimensional (2D) electron crystallography² have become relatively routine methodologies and a large number of structures have been solved using these methods. At the same time, image processing and three-dimensional (3D) reconstruction of helical objects has rapidly developed, especially, the iterative helical real-space reconstruction (IHRSR) method³, which uses single particle analysis tools in conjunction with helical symmetry. Many biological entities function in filamentous or helical forms, including actin filaments⁴, microtubules⁵, amyloid fibers⁶, tobacco mosaic viruses⁷, and bacteria flagella⁸, and, because a 3D density map of a helical entity can be attained from a single projection image, compared to the many images required for 3D reconstruction of a non-helical object, with the IHRSR method, structural analysis of such flexible and disordered helical assemblies is now attainable.In this video article, we provide detailed protocols for obtaining a 3D density map of a helical protein assembly (HIV-1 capsid⁹ is our example), including protocols for cryo-EM specimen preparation, low dose data collection by cryo-EM, indexing of helical diffraction patterns, and image processing and 3D reconstruction using IHRSR. Compared to other techniques, cryo-EM offers optimal specimen preservation under near native conditions. Samples are embedded in a thin layer of vitreous ice, by rapid freezing, and imaged in electron microscopes at liquid nitrogen temperature, under low dose conditions to minimize the radiation damage. Sample images are obtained under near native conditions at the expense of low signal and low contrast in the recorded micrographs. Fortunately, the process of helical reconstruction has largely been automated, with the exception of indexing the helical diffraction pattern. Here, we describe an approach to index helical structure and determine helical symmetries (helical parameters) from digitized micrographs, an essential step for 3D helical reconstruction. Briefly, we obtain an initial 3D density map by applying the IHRSR method. This initial map is then iteratively refined by introducing constraints for the alignment parameters of each segment, thus controlling their degrees of freedom. Further improvement is achieved by correcting for the contrast transfer function (CTF) of the electron microscope (amplitude and phase correction) and by optimizing the helical symmetry of the assembly.     

Patch averaging of electron images of GP3*I crystals with variable thickness.

The combination of Fourier and correlation averaging techniques with multivariate statistical analysis and classification, a method known as patch averaging, is used to analyze untilted and tilted images of negatively stained GP32*I crystals, which exhibit variable thicknesses in a single crystal. Within a single image, coherent areas of the same apparent thickness can be distinguished from areas of differing thicknesses. Analysis using the phase relationships among symmetry-related reflections from reconstituted images obtained from untilted micrographs confirms the ability of the method to classify these variable thicknesses properly. Furthermore, the phases from some of the reconstituted images obtained from both untilted and tilted micrographs were found to match well with the phases in a previously determined three-dimensional data set of this crystal with pg symmetry along the crystallographic b axis. These results indicate the utility of the patch averaging procedures in the structural determination of protein crystals with different thicknesses.     

Interactions between Ca2+-ATPase and the pentameric form of phospholamban in two-dimensional co-crystals

Phospholamban (PLB) physically interacts with Ca(2+)-ATPase and regulates contractility of the heart. We have studied this interaction using electron microscopy of large two-dimensional co-crystals of Ca(2+)-ATPase and the I40A mutant of PLB. Crystallization conditions were derived from those previously used for thin, helical crystals, but the addition of a 10-fold higher concentration of magnesium had a dramatic effect on the crystal morphology and packing. Two types of crystals were observed, and were characterized both by standard crystallographic methods and by electron tomography. The two crystal types had the same underlying lattice, which comprised antiparallel dimer ribbons of Ca(2+)-ATPase molecules previously seen in thin, helical crystals, but packed into a novel lattice with p22(1)2(1) symmetry. One crystal type was single-layered, whereas the other was a flattened tube and therefore double-layered. Additional features were observed between the dimer ribbons, which were substantially farther apart than in previous helical crystals. We attributed these additional densities to PLB, and built a three-dimensional model to show potential interactions with Ca(2+)-ATPase. These densities are most consistent with the pentameric form of PLB, despite the use of the presumed monomeric I40A mutant. Furthermore, our results indicate that this pentameric form of PLB is capable of a direct interaction with Ca(2+)-ATPase.     

S-layer protein from Thermus thermophilus HB8 assembles into porin-like structures

The cells of the extreme thermophile Thermus thermophilus are surounded by a regular layer (S-layer) built up by a protein with an apparent molecular mass of 100 kDa (P100). From purified membrane fractions, three different class of two-dimensional crystals can be obtained by following alternative extractive procedures. One of these crystals, with p6 symmetry, clearly represents the native S-layer detected by freeze etching on whole cells, while the other two, showing p2 and p3 symmetries respectively, closely resemble aggregates of bacterial porins. We demonstrate here by limited protreolysis and Western blotting the surprising fact that the protein component of the three crystals is the P100 protein. Our biochemical data also show how this protein forms Ca²⁺-stabilized trimers in each crystal, which support the structural analysis that points to p3 units as the common structural block in all of them, and again resembles the situation found in bacterial porins.     

Surface topography and molecular stoichiometry of the mitochondrial channel, VDAC, in crystalline arrays.

The mitochondrial outer membrane contains a protein, called VDAC, that forms large aqueous pores. In Neurospora crassa outer membranes, VDAC forms two-dimensional crystalline arrays whose size and frequency can be greatly augmented by lipase treatment of these membranes (C. Mannella, Science 224, 165, 1984). Fourier filtration and surface reconstruction of freeze-dried/shadowed (45 degrees) arrays produced detailed images of two populations of crystals, whose lattices are mirror images of each other. Most likely, this technique has revealed both surfaces of the same two-dimensional crystal with lattice parameters: a = 12.3 +/- 0.1 nm, b = 11.2 +/- 0.1 nm, and theta = 109 +/- 1 degree. Three-dimensional reconstructions of the surface reliefs on both sides of the crystal show them to be very similar. The majority of the protein forming the channel appears to be at or below the level of the membrane. To address the issue of the number of 30-kDa polypeptides that form a VDAC channel, measurements of mass per unit area were carried out by analyzing scanning transmission electron micrographs of unstained, freeze-dried arrays. The crystal form used for mass analysis contained the same motif of six stain-accumulating centers per unit cell, with p2 symmetry as in the oblique configuration, but it had a different orientation relative to the lattice lines. These data yielded a surface density of 1.9 +/- 0.2 kDa/nm2, indicating that there is a one-to-one ratio between VDAC polypeptides and the channels visualized in filtered electron micrographs, and that VDAC membrane crystals contain 68% protein and 32% lipid by mass.     

The structure of Photosystem I from the thermophilic cyanobacterium Synechococcus sp. determined by electron microscopy of two-dimensional crystals.

The structure of the Photosystem I (PS I) complex from the thermophilic cyanobacterium Synechococcus sp. has been investigated by electron microscopy and image analysis of two-dimensional crystals. Crystals were obtained from isolated PS I by removal of detergents with Bio-Beads. After negative staining, either single layers or two superimposed layers with a rotational different orientation were observed. The layers have a rectangular unit cell of 16.0 x 15.0 nm, which contains two PS I monomers. The monomers are arranged alternating up and down in each layer. For double-layer crystals, the images of the two layers could be separately processed by a combination of Fourier-peak-filtering and correlation averaging. Features in the two-dimensional plane can be seen with a resolution up to 1.5-1.8 nm. A model for the PS I structure was obtained by combining three-dimensional reconstructions from three tilt-series. The model shows an asymmetric PS I complex. On one side (presumably the stromal side) there is a 3 nm high ridge. This is most likely comprised of the psaC, psaD and psaE subunits. The other side (presumably the lumenal side) is rather flat, but in the center there is a 3 nm deep indentation, which possibly separates partly the two large subunits psaA and psaB.     

Crystals of Lumbricus erythrocruorin

Lumbricus terrestris erythrocruorin, a 3.9 X 10(6) Mr respiratory protein, has been crystallized in four different forms. Despite the high molecular symmetry apparent from images in electron micrographs, only one crystal form expresses any molecular symmetry as crystallographic symmetry. The lattice parameters provide upper limits on the molecular dimensions of 267 A X 308 A X 172 A (1 A = 0.1 nm), which agree well with dimensions obtained from electron micrographs of negatively stained molecules. We have collected diffraction data to 5.5 A from type III crystals and have begun a structural analysis.     

Crystallographic analysis of acrosomal bundle from Limulus sperm

The acrosomal process of Limulus sperm contains a bundle of filaments composed of actin and a 102 kDa protein in a 1:1 molar ratio. The structure of the bundle in true discharge was investigated by electron cryomicroscopy, X-ray scattering and crystallographic image analysis. A bundle can be characterized as a quasi-crystal with continuously varying views along the bundle axis. Each segment of the bundle is found to obey the symmetry of space group P1, with a = b = 147 A, c = 762 A, alpha = 90 degrees, beta = 90.6 degrees, gamma = 120 degrees. A unit cell contains a helical repeat of the filament with a selection rule following that of an actin filament. A 24 A projection map based on the h0l view was reconstructed after averaging 5300 unit cells from six electron images. Filaments in this projection are well separated and clearly display a 21 screw symmetry. This screw symmetry results from the helical parameters of the bundle filament and is found to be a non-crystallographic symmetry element present in the unit cell. Our structural analysis has led to the proposal that the assembly of a stable bundle with a defined maximum diameter can be controlled by the crystallographic packing of the twisted filaments.     

Visualization of alpha-helices in tobacco mosaic virus by cryo-electron microscopy

We have used tobacco mosaic virus (TMV) as a test specimen, in order to develop techniques for the analysis of high-resolution structural detail in electron micrographs of biological assemblies with helical symmetry. It has previously been shown that internal details of protein structure can be visualized by processing electron micrographs of unstained specimens of extended two-dimensional crystalline arrays. However, the techniques should in principle be applicable to other periodic specimens, such as assemblies with helical symmetry. We show here that data to spacings better than 10 A can be retrieved from electron images of frozen hydrated TMV. The three-dimensional computed map agrees well with that derived from X-ray diffraction and shows the two pairs of alpha-helices forming the core of the coat subunit, the C alpha-helix and the viral RNA. The results demonstrate that it is possible to determine detailed internal structure in helical particles.     

Spatial disorders and computational cures

Image averaging provides a powerful method for enhancing the yield of interpretable information from electron micrographs of biological macromolecules. However, as originally conceived, the full benefit of averaging is achieved only with perfectly ordered two-dimensional crystals. More recent developments, reviewed here, allow one to rectify disordered lattices, straighten randomly bent filaments, and combine multiple images of free-standing particles, thus extending the advantages of image averaging to virtually every class of macromolecular specimen.     

Analysis of symmetry and three-dimensional reconstruction of thin gp32*I crystals.

Thin, multilayered crystals of gp32*I were analyzed by negative stain electron microscopy and image processing. Images of untilted crystals exhibited different projection symmetries and structural motifs. Systematic analysis of these images categorized the projections into four types. Areas producing the type 1 projection were reconstructed in three-dimensions from four tilt series containing 111 images. The three-dimensional data has excellent p121 plane group symmetry and reveals that the gp32*I molecule contains two large domains linked together by a small domain. Computer simulations utilizing projection data suggested that the type 2 and 3 projections arise from superposition of type 1 projections related by a 21 screw axis along the projection axis. The three-dimensional reconstruction was utilized in a final simulation that explained the occurrence of the fourth type of projection. This work provides a firm foundation for future high-resolution analysis of the crystal by electron cryomicroscopy.     

Projection structure of a plant vacuole membrane aquaporin by electron cryo-crystallography

The water channel protein alpha-TIP is a member of the major intrinsic protein (MIP) membrane channel family. This aquaporin is found abundantly in vacuolar membranes of cotyledons (seed storage organs) and is synthesized during seed maturation. The water channel activity of alpha-TIP can be regulated by phosphorylation, and the protein may function in seed desiccation, cytoplasmic osmoregulation, and/or seed rehydration. Alpha-TIP was purified from seed meal of the common bean (Phaseolus vulgaris) by membrane fractionation, solubilization in diheptanoylphosphocholine and anion-exchange chromatography. Upon detergent removal and reconstitution into lipid bilayers, alpha-TIP crystallized as helical tubes. Electron cryo-crystallography of flattened tubes demonstrated that the crystals exhibit plane group p2 symmetry and c222 pseudosymmetry. Since the 2D crystals with p2 symmetry are derived from helical tubes, we infer that the unit of crystallization on the helical lattice is a dimer of tetramers. A projection density map at a resolution of 7.7 A revealed that alpha-TIP assembles as a 60 A x 60 A square tetramer. Each subunit is formed by a heart-shaped ring comprised of density peaks which we interpret as alpha-helices. The similarity of this structure to mammalian plasma membrane MIP-family proteins suggests that the molecular design of functionally analogous and genetically homologous aquaporins is maintained between the plant and animal kingdoms.     

Subunit symmetry of tetrameric phosphorylase a

Native crystallographic data of tetrameric phosphorylase a crystals, space group P2₁; have been collected photographically to 3 å resolution. These data have been used in Patterson search methods in reciprocal and real space.The tetramers were found to exhibit molecular 222 symmetry. The cross vector between the centres of the two symmetry related tetramers in the unit cell was determined by two different translation function methods.On the basis of these rotation and translation function results a model for the arrangement of monomers within the tetramer and of tetramers in the unit cell is proposed.The 222 symmetry of the tetrameric molecule is found only when high resolution diffraction data are included (i.e. higher than 6 å). At lower resolution other symmetries dominate.Calculations with the proposed model have shown that these spurious symmetries result from the nonspecific overlap of protein-protein and solvent-solvent cross vectors.These results emphasize the importance of high resolution data when noncrystallographic symmetry of globular proteins is studied.Extract from Dissertation, Technische UniversitÄt München.     

Review: electron crystallography: present excitement, a nod to the past, anticipating the future

From a modest beginning with negatively stained samples of the helical T4 bacteriophage tail, electron crystallography has emerged as a powerful tool in structural biology. High-resolution density maps, interpretable in terms of an atomic structure, can be obtained from specimens prepared as well-ordered, two-dimensional crystals, and the resolution achieved with helical specimens and icosahedral viruses is approaching the same goal. A hybrid approach to determining the molecular structure of complex biological assemblies is generating great interest, in which high-resolution structures that have been determined for individual protein components are fitted into a lower resolution envelope of the large complex. With this as background, how much more can be anticipated for the future? Considerable scope still remains to improve the quality of electron microscope images. Automation of data acquisition and data processing, together with the emergence of computational speeds of 10(12) floating point operations per second or higher, will make it possible to extend high-resolution structure determination into the realm of single-particle microscopy. As a result, computational alignment of single particles, i.e., the formation of "virtual crystals," can begin to replace biochemical crystallization. Since single-particle microscopy may remain limited to "large" structures of 200 to 300 kDa or more, however, smaller proteins will continue to be studied as helical assemblies or as two-dimensional crystals. The further development of electron crystallography is thus likely to turn increasingly to the use of single particles and small regions of ordered assemblies, emphasizing more and more the potential for faster, higher throughput.