High-resolution electron cryomicroscopy of macromolecular assemblies

Electron cryomicroscopy is a high-resolution imaging technique that is particularly appropriate for the structural determination of large macromolecular assemblies, which are difficult to study by X-ray crystallography or NMR spectroscopy. For some biological molecules that form two-dimensional crystals, the application of electron cryomicroscopy and image reconstruction can help elucidate structures at atomic resolution. In instances where crystals cannot be formed, atomic-resolution information can be obtained by combining high-resolution structures of individual components determined by X-ray crystallography or NMR with image-derived reconstructions at moderate resolution. This can provide unique and crucial information on the mechanisms of these complexes. Finally, image reconstructions can be used to augment X-ray studies by providing initial models that facilitate phasing of crystals of large macromolecular machines such as ribosomes and viruses.     

The reconstruction of structure from electron micrographs of randomly oriented particles

A new method for enhancing and reconstructing the three dimensional structure of randomly oriented particles from their electron micrographs is developed. The method requires as an input many pictures of randomly oriented identical particles. The analysis is based on the calculation and accumulation of the spatial correlation of the densities on the electron micrographs, from which the spherical harmonic coefficients of the structure can be found. The process of enhancement of the spatial correlation and the averaging out of background noise enables reconstructions by use of pictures with low signal-to-noise ratio. The theory is presented and implemented in a computer program package. Simulated electron micrographs of ellipses, rods and a model of hexameric glutamate dehydrogenase are analyzed to demonstrate reconstructions using the computer programs.     

Use of frozen-hydrated axonemes to assess imaging parameters and resolution limits in cryoelectron tomography

Using a 400-kV cryoelectron microscope, we have obtained tomographic reconstructions of frozen-hydrated sea urchin axonemes with 8-10-nm resolution, as assessed by detection of characteristic components including doublet microtubules, radial spokes, central sheath projections, and outer dynein arms. We did not detect the inner dynein arms or the microtubule lattice. The 1/(8 nm) and 1/(16 nm) layer lines are consistently present in power spectra of both projection images and tomographic reconstructions. Strength and detection of the layer lines are dependent upon total electron dose and defocus. Both layer lines are surprisingly resistant to electron doses of up to 11000 electrons/nm(2). We present a summary of resolution considerations in cryoelectron tomography and conclude that the fundamental limitation is the total electron dose required for statistical significance. The electron dose can be fractionated among the numerous angular views in a tomographic data set, but there is an unavoidable fourth-power dependence of total dose on target resolution. Since higher-resolution features are more beam-sensitive, this dose requirement places an ultimate limit on the resolution of individual tomographic reconstructions. Instrumental and computational strategies to circumvent this limitation are discussed.     

Dual-axis electron tomography of biological specimens: Extending the limits of specimen thickness with bright-field STEM imaging

The absence of imaging lenses after the specimen in the scanning transmission electron microscope (STEM) enables electron tomography to be performed in the STEM mode on micrometer-thick plastic-embedded specimens without the deleterious effect of chromatic aberration, which limits spatial resolution and signal-to-noise ratio in conventional TEM. Using Monte Carlo calculations to simulate electron scattering from gold nanoparticles situated at the top and bottom surfaces of a plastic section, we assess the optimal acquisition strategy for axial bright-field STEM electron tomography at a beam-energy of 300keV. Dual tilt-axis STEM tomography with optimized axial bight-field detector geometry is demonstrated by application to micrometer-thick sections of beta cells from mouse pancreatic islet. The quality of the resulting three-dimensional reconstructions is comparable to that obtained from much thinner (0.3-micrometer) sections using conventional TEM tomography. The increased range of specimen thickness accessible to axial STEM tomography without the need for serial sectioning enables the 3-D visualization of more complex and larger subcellular structures.     

An approach to examining model dependence in EM reconstructions using cross-validation

Reference bias refers to a common problem in fitting experimental data to an initial model. Given enough free parameters, a good fit of any experimental data to the model can be obtained, even if the experimental data contain only noise. Reference-based alignment methods used in electron microscopy (EM) are subject to this type of bias, in that images containing pure noise can regenerate the reference. Cross-validation is based on the idea that the experimental data used to assess the validity of the fitting should not be the same data as were used to do the fitting. Here we present the application of cross-validation to one form of reference-based alignment: 3D-projection matching in single-particle reconstructions. Our results show that reference bias is indeed present in reconstructions, but that the effect is small for real data compared to that for random noise, and that this difference in behavior is magnified, rather than diminished, during iterative refinement.     

Exploring vitreous cryo-section-induced compression at the macromolecular level using electron cryo-tomography; 80S yeast ribosomes appear unaffected

Vitreous cryo-section-induced compression influences the interpretation and the reliability of electron microscopy images and tomographic reconstructions. Previous studies of this deformation have been focused at the cellular level where considerable compression occurs, yet the degree of possible intracellular macromolecular deformation has remained unclear. Here, electron cryo-tomographic reconstructions of vitreous cryo-sections show that 80S ribosomes, both intracellular and in an isolated state, appear able to resist section-induced compression. Our observations indicate that vitreous section-induced compression is non-uniform between whole cells that have been sectioned and their intracellular macromolecular complexes. We conclude that electron cryo-tomography of vitreous cryo-sections, in spite of section-induced compression, is a suitable technique for charting the structural organization of cellular nanomachines, such as ribosomes, in a cellular environment.     

Low-resolution density maps from atomic models: how stepping "back" can be a step "forward"

Atomic-resolution structures have had a tremendous impact on modern biological science. Much useful information also has been gleaned by merging and correlating atomic-resolution structural details with lower-resolution (15-40 A), three-dimensional (3D) reconstructions computed from images recorded with cryo-transmission electron microscopy (cryoTEM) procedures. One way to merge these structures involves reducing the resolution of an atomic model to a level comparable to a cryoTEM reconstruction. A low-resolution density map can be derived from an atomic-resolution structure by retrieving a set of atomic coordinates editing the coordinate file, computing structure factors from the model coordinates, and computing the inverse Fourier transform of the structure factors. This method is a useful tool for structural studies primarily in combination with 3D cryoTEM reconstructions. It has been used to assess the quality of 3D reconstructions, to determine corrections for the phase-contrast transfer function of the transmission electron microscope, to calibrate the dimensions and handedness of 3D reconstructions, to produce difference maps, to model features in macromolecules or macromolecular complexes, and to generate models to initiate model-based determination of particle orientation and origin parameters for 3D reconstruction.     

Classification and three-dimensional reconstruction of unevenly distributed or symmetry mismatched features of icosahedral particles

Methods for the three-dimensional reconstruction of icosahedral particles, such as spherical viruses, from electron micrographs are well established. These methods take advantage of the 60-fold symmetry of the icosahedral group. Several features within these particles, however, may deviate from icosahedral symmetry. Examples include viral genomes, symmetry mismatched vertex proteins, unique DNA packaging vertices, flexible proteins, and proteins that are present at less than 100% occupancy. Such asymmetrically distributed features are smeared in the final density map when icosahedral symmetry is applied. Here, we describe a novel approach to classifying, analysing, and obtaining three-dimensional reconstructions of such features. The approach uses the orientation information derived from the icosahedral orientation search to facilitate multivariate statistical analysis and to limit the orientational degrees of freedom for reconstruction. We demonstrate the application of this approach to images of Kelp fly Virus. In this case, each virion may have two different types of fivefold vertex. We use our approach to produce independent reconstructions of the two types of vertex.     

Electron tomography reveals diverse conformations of integrin alphaIIbbeta3 in the active state

We used electron tomography to determine the three-dimensional (3D) structure of integrin alphaIIbbeta3 in the active state. We found that we obtained better density maps when we reconstructed a 3D volume for each individual particle in the tilt series rather than to extract the particle-containing subvolumes from a 3D reconstruction of the entire specimen area. The 3D tomographic reconstructions of 100 particles revealed that activated alphaIIbbeta3 adopts many different conformations. An average of all the individual 3D reconstructions nicely accommodated the crystal structure of the alphaVbeta3 headpiece, confirming the locations assigned to the alpha- and beta-subunit in the density map. The most striking finding of our study is the structural flexibility of the lower leg of the beta-subunit as opposed to the conformational stability of the leg of the alpha-subunit. The good fit of the atomic structure of the betaI domain and the hybrid domain in the active state showed that the hybrid domain swings out, and most particles used for tomography are in the active state. Multivariate statistical analysis and classification applied to the set of 3D reconstructions revealed that more than 90% reconstructions are grouped into the classes that show the active state. Our results demonstrate that electron tomography can be used to classify complexes with a flexible structure such as integrins.     

Low-Resolution Density Maps from Atomic Models: How Stepping “Back” Can Be a Step “Forward”

Atomic-resolution structures have had a tremendous impact on modern biological science. Much useful information also has been gleaned by merging and correlating atomic-resolution structural details with lower-resolution (15–40 Å), three-dimensional (3D) reconstructions computed from images recorded with cryo-transmission electron microscopy (cryoTEM) procedures. One way to merge these structures involves reducing the resolution of an atomic model to a level comparable to a cryoTEM reconstruction. A low-resolution density map can be derived from an atomic-resolution structure by retrieving a set of atomic coordinates editing the coordinate file, computing structure factors from the model coordinates, and computing the inverse Fourier transform of the structure factors. This method is a useful tool for structural studies primarily in combination with 3D cryoTEM reconstructions. It has been used to assess the quality of 3D reconstructions, to determine corrections for the phase-contrast transfer function of the transmission electron microscope, to calibrate the dimensions and handedness of 3D reconstructions, to produce difference maps, to model features in macromolecules or macromolecular complexes, and to generate models to initiate model-based determination of particle orientation and origin parameters for 3D reconstruction.     

Quantitative self-organizing maps for clustering electron tomograms

Tomography emerges as a powerful methodology for determining the complex architectures of biological specimens that are better regarded from the structural point of view as singular entities. However, once the structure of a sufficiently large number of singular specimens is solved, quite possibly structural patterns start to emerge. This latter situation is addressed here, where the clustering of a set of 3D reconstructions using a novel quantitative approach is presented. In general terms, we propose a new variant of a self-organizing neural network for the unsupervised classification of 3D reconstructions. The novelty of the algorithm lies in its rigorous mathematical formulation that, starting from a large set of noisy input data, finds a set of "representative" items, organized onto an ordered output map, such that the probability density of this set of representative items resembles at its possible best the probability density of the input data. In this study, we evaluate the feasibility of application of the proposed neural approach to the problem of identifying similar 3D motifs within tomograms of insect flight muscle. Our experimental results prove that this technique is suitable for this type of problem, providing the electron microscopy community with a new tool for exploring large sets of tomogram data to find complex patterns.     

Estimating alignment errors in sets of 2-D images

We describe a robust and accurate method for the estimation of alignment errors for a set of two-dimensional images, in the case where the true pattern is unknown. The intended application of the proposed method is cryo-electron microscopy, where two-dimensional views of individual proteins in random orientations are observed in the electron microscope at low signal-to-noise ratio. By representing images in the basis of Fourier-harmonic coordinates and constructing averages and average intensities, we demonstrate that the variances of translation and rotational errors as well as of the Gaussian noise can be recovered. This machinery therefore allows one to isolate the various categories of errors that impede the quality of results in single particle reconstructions into constituent parts: translational errors, rotational errors, and additive noise.     

Toward understanding the structure and interactions of microtubules and motor proteins

To obtain an overall three-dimensional picture of the interaction between microtubules and the motor proteins of the kinesin family it will be necessary to take account of both atomic resolution structures obtained by X-ray crystallography and medium resolution reconstructions obtained by electron cryomicroscopy. We examine the problems associated with obtaining the required structural information from electron micrographs of vitreous ice-embedded microtubules decorated with motor domains. We find that the minus-end directed motor, ncd, decorates microtubules with an 80 Å periodicity as for kinesin. Our theoretical analysis and experiments with ncd illustrate the difficulty in determining unambiguously the surface lattice organization by diffraction analysis of micrographs. 3D reconstructions of decorated microtubules are required to accurately locate the motor domains. Helical diffraction theory is not usually applicable because microtubules are cylindrical structures that rarely have complete helical symmetry. We propose using a back-projection method based on the long pitch helices formed by individual protofilaments. Model reconstructions show that this approach is feasible. © 1995 Wiley-Liss, Inc.     

Web portal to an image database for high-resolution three-dimensional reconstruction

The exponential increase of image data in high-resolution reconstructions by electron cryomicroscopy (cryoEM) has posed a need for efficient data management solutions in addition to powerful data processing procedures. Although relational databases and web portals are commonly used to manage sequences and structures in biological research, their application in cryoEM has been limited due to the complexity in accomplishing the dual tasks of interacting with proprietary software and simultaneously providing data access to users without database knowledge. Here, we report our results in developing web portal to SQL image databases used by the Image Management and Icosahedral Reconstruction System (IMIRS) to manage cryoEM images for subnanometer-resolution reconstructions. Fundamental issues related to the design and deployment of web portals to image databases are described. A web browser-based user interface was designed to accomplish data reporting and other database-related services, including user authentication, data entry, graph-based data mining, and various query and reporting tasks with interactive image manipulation capabilities. With an integrated web portal, IMIRS represents the first cryoEM application that incorporates both web-based data reporting tools and a complete set of data processing modules. Our examples should thus provide general guidelines applicable to other cryoEM technology development efforts.     

Biomedical potential of silver nanoparticles synthesized from calli cells of Citrullus colocynthis (L.) Schrad

Background

Transmission electron microscopy (TEM) remains an important technique to investigate the size, shape and surface characteristics of particles at the nanometer scale. Resulting micrographs are two dimensional projections of objects and their interpretation can be difficult. Recently, electron tomography (ET) is increasingly used to reveal the morphology of nanomaterials (NM) in 3D. In this study, we examined the feasibility to visualize and measure silica and gold NM in suspension using conventional bright field electron tomography.

Results

The general morphology of gold and silica NM was visualized in 3D by conventional TEM in bright field mode. In orthoslices of the examined NM the surface features of a NM could be seen and measured without interference of higher or lower lying structures inherent to conventional TEM. Segmentation by isosurface rendering allowed visualizing the 3D information of an electron tomographic reconstruction in greater detail than digital slicing. From the 3D reconstructions, the surface area and the volume of the examined NM could be estimated directly and the volume-specific surface area (VSSA) was calculated. The mean VSSA of all examined NM was significantly larger than the threshold of 60 m²/cm³. The high correlation between the measured values of area and volume gold nanoparticles with a known spherical morphology and the areas and volumes calculated from the equivalent circle diameter (ECD) of projected nanoparticles (NP) indicates that the values measured from electron tomographic reconstructions are valid for these gold particles.

Conclusion

The characterization and definition of the examined gold and silica NM can benefit from application of conventional bright field electron tomography: the NM can be visualized in 3D, while surface features and the VSSA can be measured.     

Direct electron detection yields cryo-EM reconstructions at resolutions beyond 3/4 Nyquist frequency

One limitation in electron cryo-microscopy (cryo-EM) is the inability to recover high-resolution signal from the image-recording media at the full-resolution limit of the transmission electron microscope. Direct electron detection using CMOS-based sensors for digitally recording images has the potential to alleviate this shortcoming. Here, we report a practical performance evaluation of a Direct Detection Device (DDD®) for biological cryo-EM at two different microscope voltages: 200 and 300 kV. Our DDD images of amorphous and graphitized carbon show strong per-pixel contrast with image resolution near the theoretical sampling limit of the data. Single-particle reconstructions of two frozen-hydrated bacteriophages, P22 and ε15, establish that the DDD is capable of recording usable signal for 3D reconstructions at about 4/5 of the Nyquist frequency, which is a vast improvement over the performance of conventional imaging media. We anticipate the unparalleled performance of this digital recording device will dramatically benefit cryo-EM for routine tomographic and single-particle structural determination of biological specimens.     

Automatic alignment of transmission electron microscope tilt series without fiducial markers

Accurate image alignment is needed for computing three-dimensional reconstructions from transmission electron microscope tilt series. So far, the best results have been obtained by using colloidal gold beads as fiducial markers. If their use has not been possible for some reason, the only option has been the automatic cross-correlation-based registration methods. However, the latter methods are inaccurate and, as we will show, inappropriate for the whole problem. Conversely, we propose a novel method that uses the actual 3D motion model but works without any fiducial markers in the images. The method is based on matching and tracking some interest points of the intensity surface by first solving the underlying geometrical constraint of consecutive images in the tilt series. The results show that our method is near the gold marker alignment in the level of accuracy and hence opens the way for new opportunities in the analysis of electron tomography reconstructions, especially when markers cannot be used.     

Single particle reconstructions of the transferrin-transferrin receptor complex obtained with different specimen preparation techniques

The outcome of three-dimensional (3D) reconstructions in single particle electron microscopy (EM) depends on a number of parameters. We have used the well-characterized structure of the transferrin (Tf)-transferrin receptor (TfR) complex to study how specimen preparation techniques influence the outcome of single particle EM reconstructions. The Tf-TfR complex is small (290kDa) and of low symmetry (2-fold). Angular reconstitution from images of vitrified specimens does not reliably converge on the correct structure. Random conical tilt reconstructions from negatively stained specimens are reliable, but show variable degrees of artifacts depending on the negative staining protocol. Alignment of class averages from vitrified specimens to a 3D negative stain reference model using FREALIGN largely eliminated artifacts in the resulting 3D maps, but not completely. Our results stress the need for critical evaluation of structures determined by single particle EM.     

Applications of a bilateral denoising filter in biological electron microscopy

Due to the sensitivity of biological sample to the radiation damage, the low dose imaging conditions used for electron microscopy result in extremely noisy images. The processes of digitization, image alignment, and 3D reconstruction also introduce additional sources of noise in the final 3D structure. In this paper, we investigate the effectiveness of a bilateral denoising filter in various biological electron microscopy applications. In contrast to the conventional low pass filters, which inevitably smooth out both noise and structural features simultaneously, we found that bilateral filter holds a distinct advantage in being capable of effectively suppressing noise without blurring the high resolution details. In as much, we have applied this technique to individual micrographs, entire 3D reconstructions, segmented proteins, and tomographic reconstructions.     

Confocal scanning light microscopy of the Escherichia coli nucleoid: comparison with phase-contrast and electron microscope images.

The nucleoid of living and OsO4- or glutaraldehyde-fixed cells of Escherichia coli strains was studied with a phase-contrast microscope, a confocal scanning light microscope, and an electron microscope. The trustworthiness of the images obtained with the confocal scanning light microscope was investigated by comparison with phase-contrast micrographs and reconstructions based on serially sectioned material of DNA-containing and DNA-less cells. This comparison showed higher resolution of the confocal scanning light microscope as compared with the phase-contrast microscope, and agreement with results obtained with the electron microscope. The effects of fixation on the structure of the nucleoid were studied in E. coli B/r H266. Confocal scanning light micrographs and electron microscopic reconstructions showed that the shape of the nucleoid remained similar after OsO4 or glutaraldehyde fixation; however, the OsO4 nucleoid appeared to be somewhat smaller and more centralized within the cell.