Three-dimensional reconstruction from a single-exposure, random conical tilt series applied to the 50S ribosomal subunit of Escherichia coli

A fully automatic 3D reconstruction method using simulated annealing enables accurate posterioric angular assignment of protein projections

Single-particle analysis is a structure determining method using electron microscopic (EM) images, which does not require protein crystal. In this method, projections are picked up and used to reconstruct a three-dimensional (3D) structure. When the conical tilting method is not available, the particle images are usually classified and averaged to improve the signal-to-noise ratio. The Euler angles of these average images must be posteriorically assigned to create a primary 3D model. We developed a new, fully automatic unsupervised Euler angle assignment method, which does not require an initial 3D reference and which is applicable to asymmetric molecules. In this method, the Euler angle of each average image is initially set randomly and then automatically corrected in relation to those of the other averages by iterated optimizations using the Simulated Annealing (SA) algorithm. At each iteration, the 3D structure is reconstructed based on the current Euler angles and reprojected back in the average-input directions. A modified cross-correlation between each reprojection and its corresponding original average is then calculated. The correlations are summed as a total 3D echo-correlation score to evaluate the Euler angles at this iteration. Then, one of the projections is selected, its Euler angle is changed randomly, and the score is also calculated. Based on the score change, judgment of whether to accept or reject the new angle is made using the SA algorithm, which is introduced to overcome the local minimums. After a certain number of iterations of this process, the angles of all averages converge so as to create a reliable primary 3D model. This echo-correlated 3D reconstruction with simulated annealing also has potential for wide application to general 3D reconstruction from various types of 2D images.

The structural basis for regulated assembly and function of the transcriptional activator NtrC

In two-component signal transduction, an input triggers phosphorylation of receiver domains that regulate the status of output modules. One such module is the AAA+ ATPase domain in bacterial enhancer-binding proteins that remodel the sigma(54) form of RNA polymerase. We report X-ray solution scattering and electron microscopy structures of the activated, full-length nitrogen-regulatory protein C (NtrC) showing a novel mechanism for regulation of AAA+ ATPase assembly via the juxtaposition of the receiver domains and ATPase ring. Accompanying the hydrolysis cycle that is required for transcriptional activation, we observed major order-disorder changes in the GAFTGA loops involved in sigma(54) binding, as well as in the DNA-binding domains.

The three-dimensional structure of complex I from Yarrowia lipolytica: a highly dynamic enzyme

The structure of complex I from Yarrowia lipolytica was determined by three-dimensional electron microscopy. A random conical data set was collected from deep stain embedded particles. More than 14000 image pairs were analyzed. Through extensive classification combined with three-dimensional reconstruction, it was possible for the first time to show a much more detailed substructure of the complex. The peripheral arm is subdivided in at least six domains. The membrane arm shows two major protrusions on its matrix facing side and exhibits a channel like feature on the side facing the cytoplasm. Structures resembling a tether connecting the subunits near the catalytic center with the protrusions of the membrane arm provide a second connection between matrix and membrane domain.

Electron microscopic structure of purified, active gamma-secretase reveals an aqueous intramembrane chamber and two pores

Gamma-secretase is an intramembrane-cleaving aspartyl protease required for the normal development of metazoans because it processes Notch within cellular membranes to release its signaling domain. More than two dozen additional substrates of diverse functions have been reported, including the Notch ligands Delta and Jagged, N- and E-cadherins, and a sodium channel subunit. The protease is causally implicated in Alzheimer's disease because it releases the neurotoxic amyloid beta-peptide (Abeta) from its precursor, APP. Gamma-secretase occurs as a large complex containing presenilin (bearing the active site aspartates), nicastrin, Aph-1, and Pen-2. Because the complex contains at least 18 transmembrane domains, crystallographic approaches to its structure are difficult and remote. We recently purified the human complex essentially to homogeneity from stably expressing mammalian cells. Here, we use EM and single-particle image analysis on the purified enzyme, which produces physiological ratios of Abeta40 and Abeta42, to obtain structural information on an intramembrane protease. The 3D EM structure revealed a large, cylindrical interior chamber of approximately 20-40 A in length, consistent with a proteinaceous proteolytic site that is occluded from the hydrophobic environment of the lipid bilayer. Lectin tagging of the nicastrin ectodomain enabled proper orientation of the globular, approximately 120-A-long complex within the membrane and revealed approximately 20-A pores at the top and bottom that provide potential exit ports for cleavage products to the extra- and intracellular compartments. Our reconstructed 3D map provides a physical basis for hydrolysis of transmembrane substrates within a lipid bilayer and release of the products into distinct subcellular compartments.

The orthogonal tilt reconstruction method: An approach to generating single-class volumes with no missing cone for ab initio reconstruction of asymmetric particles

Generating reliable initial models is a critical step in the reconstruction of asymmetric single-particles by 3D electron microscopy. This is particularly difficult to do if heterogeneity is present in the sample. The Random Conical Tilt (RCT) method, arguably the most robust presently to accomplish this task, requires significant user intervention to solve the "missing cone" problem. We present here a novel approach, termed the orthogonal tilt reconstruction method, that eliminates the missing cone altogether, making it possible for single-class volumes to be used directly as initial references in refinement without further processing. The method involves collecting data at +45 degrees and -45 degrees tilts and only requires that particles adopt a relatively large number of orientations on the grid. One tilted data set is used for alignment and classification and the other set--which provides views orthogonal to those in the first--is used for reconstruction, resulting in the absence of a missing cone. We have tested this method with synthetic data and compared its performance to that of the RCT method. We also propose a way of increasing the level of homogeneity in individual 2D classes (and volumes) in a heterogeneous data set and identifying the most homogeneous volumes.

Localization of the coactivator Cdh1 and the cullin subunit Apc2 in a cryo-electron microscopy model of vertebrate APC/C

The anaphase-promoting complex/cyclosome (APC/C) is a ubiquitin ligase with essential functions in mitosis, meiosis, and G1 phase of the cell cycle. APC/C recognizes substrates via coactivator proteins such as Cdh1, and bound substrates are ubiquitinated by E2 enzymes that interact with a hetero-dimer of the RING subunit Apc11 and the cullin Apc2. We have obtained three-dimensional (3D) models of human and Xenopus APC/C by angular reconstitution and random conical tilt (RCT) analyses of negatively stained cryo-electron microscopy (cryo-EM) preparations, have determined the masses of these particles by scanning transmission electron microscopy (STEM), and have mapped the locations of Cdh1 and Apc2. These proteins are located on the same side of the asymmetric APC/C, implying that this is where substrates are ubiquitinated. We have further identified a large flexible domain in APC/C that adopts a different orientation upon Cdh1 binding. Cdh1 may thus activate APC/C both by recruiting substrates and by inducing conformational changes.

Quaternary polymorphism of replicative helicase G40P: structural mapping and domain rearrangement

Quaternary polymorphism is a distinctive structural feature of the DnaB family of replicative DNA hexameric helicases. The Bacillus subtilis bacteriophage SPP1 gene 40 product (G40P) belongs to this family. Three different quaternary states have been described for G40P homohexamers, two of them with C(3) symmetry, and the other with C(6) symmetry. We present three-dimensional reconstructions of the different architectures of G40P hexamers and a variant lacking the N-terminal domain. Comparison of the G40P and the deletion mutant structures sheds new light on the functional roles of the N and C-terminal domains, at the same time that it allows the direct structural mapping of these domains. Based on this new information, hybrid EM/X-ray models are presented for all the different symmetries. These results suggest that quaternary polymorphism of hexameric helicases may be implicated in the translocation along the DNA.

Oligomeric structure of the carnitine transporter CaiT from Escherichia coli

The carnitine transporter CaiT from Escherichia coli belongs to the betaine, choline, and carnitine transporter family of secondary transporters. It acts as an L-carnitine/gamma-butyrobetaine exchanger and is predicted to span the membrane 12 times. Unlike the other members of this transporter family, it does not require an ion gradient and does not respond to osmotic stress (Jung, H., Buchholz, M., Clausen, J., Nietschke, M., Revermann, A., Schmid, R., and Jung, K. (2002) J. Biol. Chem. 277, 39251-39258). The structure and oligomeric state of the protein was examined in detergent and in lipid bilayers. Blue native gel electrophoresis indicated that CaiT was a trimer in detergent solution. This result was further supported by gel filtration and cross-linking studies. Electron microscopy and single particle analysis of the protein showed a triangular structure of three masses or two parallel elongated densities. Reconstitution of CaiT into lipid bilayers yielded two-dimensional crystals that indicated that CaiT was a trimer in the membrane, similar to its homologue BetP. The implications of the trimeric structure on the function of CaiT are discussed.

Structural roles for human translation factor eIF3 in initiation of protein synthesis

Protein synthesis in mammalian cells requires initiation factor eIF3, a approximately 750-kilodalton complex that controls assembly of 40S ribosomal subunits on messenger RNAs (mRNAs) bearing either a 5'-cap or an internal ribosome entry site (IRES). Cryo-electron microscopy reconstructions show that eIF3, a five-lobed particle, interacts with the hepatitis C virus (HCV) IRES RNA and the 5'-cap binding complex eIF4F via the same domain. Detailed modeling of eIF3 and eIF4F onto the 40S ribosomal subunit reveals that eIF3 uses eIF4F or the HCV IRES in structurally similar ways to position the mRNA strand near the exit site of 40S, promoting initiation complex assembly.

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.

Particle picking by segmentation: a comparative study with SPIDER-based manual particle picking

Boxing hundreds of thousands of particles in low-dose electron micrographs is one of the major bottle-necks in advancing toward achieving atomic resolution reconstructions of biological macromolecules. We have shown that a combination of pre-processing operations and segmentation can be used as an effective, automatic tool for identifying and boxing single-particle images. This paper provides a brief description of how this method has been applied to a large data set of micrographs of ice-embedded ribosomes, including a comparative analysis of the efficiency of the method. Some results on processing micrographs of tripeptidyl peptidase II particles are also shown. In both cases, we have achieved our goal of selecting at least 80% of the particles that an expert would select with less than 10% false positives.

ATPase-dependent cooperative binding of ORC and Cdc6 to origin DNA

Binding of Cdc6 to the origin recognition complex (ORC) is a key step in the assembly of a pre-replication complex (pre-RC) at origins of DNA replication. ORC recognizes specific origin DNA sequences in an ATP-dependent manner. Here we demonstrate cooperative binding of Saccharomyces cerevisiae Cdc6 to ORC on DNA in an ATP-dependent manner, which induces a change in the pattern of origin binding that requires the Orc1 ATPase. The reaction is blocked by specific origin mutations that do not interfere with the interaction between ORC and DNA. Single-particle reconstruction of electron microscopic images shows that the ORC-Cdc6 complex forms a ring-shaped structure with dimensions similar to those of the ring-shaped MCM helicase. The ORC-Cdc6 structure is predicted to contain six AAA+ subunits, analogous to other ATP-dependent protein machines. We suggest that Cdc6 and origin DNA activate a molecular switch in ORC that contributes to pre-RC assembly.

High-yield expression, reconstitution and structure of the recombinant, fully functional glutamate transporter GLT-1 from Rattus norvegicus

The glutamate transporter GLT-1 from Rattus norvegicus was expressed at high level in BHK cells using the Semliki Forest virus expression system. BHK cells infected with viral particles carrying the GLT-1 gene exhibited 30-fold increased aspartate uptake compared to control cells. The expression level of GLT-1 as determined by binding of labelled substrate to membrane preparations was about 3.5 x 10(6) functional transporters per cell, or 61 pmol GLT-1 per milligram of membrane protein. Purification of the His-tagged protein by Ni2+-NTA affinity chromatography enabled the routine production and purification of milligram quantities of fully functional transporter. Transport activity required reducing conditions and the addition of extra lipid throughout the purification. The apparent molecular mass of the recombinant transporter was 73 kDa or 55 kDa, corresponding to the glycosylated and non-glycosylated form, respectively. Both forms were active upon separation on a lectin column and reconstitution into liposomes. Glycosylated and non-glycosylated GLT-1 were transported to the plasma membrane with equal efficiency. Our results show that N-glycosylation does not affect the trafficking or the transport activity of GLT-1. The low-resolution structure of GLT-1 was determined by electron microscopy and single particle reconstruction.

The TatA component of the twin-arginine protein transport system forms channel complexes of variable diameter

The Tat system mediates Sec-independent transport of folded precursor proteins across the bacterial plasma membrane or the chloroplast thylakoid membrane. Tat transport involves distinct high-molecular-weight TatA and TatBC complexes. Here we report the 3D architecture of the TatA complex from Escherichia coli obtained by single-particle electron microscopy and random conical tilt reconstruction. TatA forms ring-shaped structures of variable diameter in which the internal channels are large enough to accommodate known Tat substrate proteins. This morphology strongly supports the proposal that TatA forms the protein-conducting channel of the Tat system. One end of the channel is closed by a lid that might gate access to the channel. On the basis of previous protease accessibility measurements, the lid is likely to be located at the cytoplasmic side of the membrane. The observed variation in TatA diameter suggests a model for Tat transport in which the number of TatA protomers changes to match the size of the channel to the size of the substrate being transported. Such dynamic close packing would provide a mechanism to maintain the membrane permeability barrier during transport.

Structural studies of the human PBAF chromatin-remodeling complex

ATP-dependent chromatin remodeling is one of the central processes responsible for imparting fluidity to chromatin and thus regulating DNA transactions. Although knowledge on this process is accumulating rapidly, the basic mechanism (or mechanisms) by which the remodeling complexes alter the structure of a nucleosome is not yet understood. Structural information on these macromolecular machines should aid in interpreting the biochemical and genetic data; to this end, we have determined the structure of the human PBAF ATP-dependent chromatin-remodeling complex preserved in negative stain by electron microscopy and have mapped the nucleosome binding site using two-dimensional (2D) image analysis. PBAF has an overall C-shaped architecture--with a larger density to which two smaller knobs are attached--surrounding a central cavity; one of these knobs appears to be flexible and occupies different positions in each of the structures determined. The 2D analysis of PBAF:nucleosome complexes indicates that the nucleosome binds in the central cavity.

Three-dimensional architecture of phycobilisomes fromNostoc flagelliformerevealed by single particle electron microscopy

Phycobilisomes are protein complexes that harvest light and transfer energy to the photo system. Here, the three dimensional structure of intact phycobilisomes from Nostoc flagelliforme is studied by a combination of negative stain electron microscopy and cryo-electron microscopy. Results show that the intact phycobilisomes are composed of a tricylindrical core and six rods. Each allophycocyanin cylinder presents a double-layered structure when viewed from the side and a triangular shape when viewed from the top. These characteristics indicate that allophycocyanin trimers in the intact phycobilisomes are arranged into hexameric oligomers in a parallel manner.

Signaling conformations of the tall cytokine receptor gp130 when in complex with IL-6 and IL-6 receptor

gp130 is a shared cytokine signaling receptor and the founding member of the 'tall' class of cytokine receptors. A crystal structure of the ligand-binding domains of gp130 in complex with human interleukin-6 (IL-6) and its a-receptor (IL-6Ralpha) revealed a hexameric architecture in which the gp130 membrane-distal regions were approximately 100 A apart, in contrast to the close apposition seen between short cytokine receptor complexes. Here we used single-particle EM to visualize the entire extracellular hexameric IL-6-IL-6Ralpha-gp130 complex, containing all six gp130 domains. The structure reveals that gp130 is bent such that the membrane-proximal domains of gp130 are close together at the cell surface, enabling activation of intracellular signaling. Variation in the receptor bend angles suggests a possible conformational transition from open to closed states upon ligand binding; this transition is probably representative of the other tall cytokine receptors.

Domain structure of separase and its binding to securin as determined by EM

After the degradation of its inhibitor securin, separase initiates chromosome segregation during the metaphase-to-anaphase transition by cleaving cohesin. Here we present a density map at a resolution of 25 A of negatively stained separase-securin complex. Based on labeling data and sequence analysis, we propose a model for the structure of separase, consisting of 26 ARM repeats, an unstructured region of 280 residues and two caspase-like domains, with securin binding to the ARM repeats.

Noise bias in the refinement of structures derived from single particles

One of the main goals in the determination of three-dimensional macromolecular structures from electron microscope images of individual molecules and complexes (single particles) is a sufficiently high spatial resolution, about 4 A, at which the interpretation with an atomic model becomes possible. To reach high resolution, an iterative refinement procedure using an expectation maximization algorithm is often used that leads to a more accurate alignment of the positional and orientational parameters for each particle. We show here the results of refinement algorithms that use a phase residual, a linear correlation coefficient, or a weighted correlation coefficient to align individual particles. The algorithms were applied to computer-generated data sets that contained projections from model structures, as well as noise. The algorithms show different degrees of over-fitting, especially at high resolution where the signal is weak. We demonstrate that the degree of over-fitting is reduced with a weighting scheme that depends on the signal-to-noise ratio in the data. The weighting also improves the accuracy of resolution measurement by the commonly used Fourier shell correlation. The performance of the refinement algorithms is compared to that using a maximum likelihood approach. The weighted correlation coefficient was implemented in the computer program FREALIGN.

Dynamics of antibodies from cryo-electron tomography

The issue of protein dynamics and its implications in the biological function of proteins are arousing greater and greater interest in molecular biology. In cryo-electron tomography experiments one takes several snapshots of a given biological macromolecule. In principle, a large enough collection of snapshots may then be used to calculate its equilibrium configuration in terms of the experimentally accessible degrees of freedom, and hence estimate its potential energy. Consequently, one could analyze the biological functions of biomolecules by directly accessing their dynamics. In this work, we analyze the results of cryo-electron tomography experiments on monoclonal murine IgG2a antibodies. With the aid of a novel software for image processing, we measure the equilibrium distribution of the angles which describe the configuration of the molecule. This helps us shed some critical light on recent results from X-ray crystallography. We then build a model of the antibody dynamics, which enables us to use the measured angular distribution in order to derive an explicit expression of the IgG potential energy. Finally, as a preliminary application of our results, we investigate the dynamical effects in the rate of formation of the antigen-antibody encounter complex. In particular, we suggest that the dynamics of antibodies operates in the direction of decreasing anticooperativity of the two antigen binding arms.

Unified 3-D structure and projection orientation refinement using quasi-Newton algorithm

We describe an algorithm for simultaneous refinement of a three-dimensional (3-D) density map and of the orientation parameters of two-dimensional (2-D) projections that are used to reconstruct this map. The application is in electron microscopy, where the 3-D structure of a protein has to be determined from a set of 2-D projections collected at random but initially unknown angles. The design of the algorithm is based on the assumption that initial low resolution approximation of the density map and reasonable guesses for orientation parameters are available. Thus, the algorithm is applicable in final stages of the structure refinement, when the quality of the results is of main concern. We define the objective function to be minimized in real space and solve the resulting nonlinear optimization problem using a Quasi-Newton algorithm. We calculate analytical derivatives with respect to density distribution and the finite difference approximations of derivatives with respect to orientation parameters. We demonstrate that calculation of derivatives is robust with respect to noise in the data. This is due to the fact that noise is annihilated by the back-projection operations. Our algorithm is distinguished from other orientation refinement methods (i) by the simultaneous update of the density map and orientation parameters resulting in a highly efficient computational scheme and (ii) by the high quality of the results produced by a direct minimization of the discrepancy between the 2-D data and the projected views of the reconstructed 3-D structure. We demonstrate the speed and accuracy of our method by using simulated data.

Conical tomography of freeze-fracture replicas: a method for the study of integral membrane proteins inserted in phospholipid bilayers

We have used conical tomography to study the structure of integral proteins in their phospholipid bilayer environments. Complete conical series were collected from replicas of the water channel aquaporin-0 (AQP0), a 6.6 nm side tetramer with a molecular weight of approximately 120 kDa that was purified and reconstituted in liposomes. The replicas were tilted at 38 degrees , 50 degrees or 55 degrees and rotated by 2.5 degrees , 4 degrees , or 5 degrees increments until completing 360 degrees turns. The elliptical paths of between 6 and 12 freeze-fracture particles aligned the images to a common coordinate system. Using the weighted back projection algorithm, small volumes of the replicas were independently reconstructed to reconstitute the field. Using the Fourier Shell Correlation computed from reconstructions of even and odd projections of the series, we estimated a resolution of 2-3 nm, a value that was close to the thickness of the replica (approximately 1.5 nm). The 3D reconstructions exhibited isotropic resolution along the x-y plane, which simplified the analysis of particles oriented randomly in the membrane plane. In contrast to reconstructions from single particles imaged using random conical tilt [J. Mol. Biol. 325 (2003) 210], the reconstructions using conical tomography allowed the size and shape of individual particles representing the AQP0 channel to be identified without averaging or imposing symmetry. In conclusion, the reconstruction of freeze-fracture replicas with electron tomography has provided a novel experimental approach for the study of integral proteins inserted in phospholipid bilayers.

Structure and function of CRSP/Med2; a promoter-selective transcriptional coactivator complex

The multi-subunit, human CRSP coactivator-also known as Mediator (Med)-regulates transcription by mediating signals between enhancer-bound factors (activators) and the core transcriptional machinery. Interestingly, different activators are known to bind distinct subunits within the CRSP/Med complex. We have isolated a stable, endogenous CRSP/Med complex (CRSP/Med2) that specifically lacks both the Med220 and the Med70 subunits. The three-dimensional structure of CRSP/Med2 was determined to 31 A resolution using electron microscopy and single-particle reconstruction techniques. Despite lacking both Med220 and Med70, CRSP/Med2 displays potent, activator-dependent transcriptional coactivator function in response to VP16, Sp1, and Sp1/SREBP-1a in vitro using chromatin templates. However, CRSP/Med2 is unable to potentiate activated transcription from a vitamin D receptor-responsive promoter, which requires interaction with Med220 for coactivator recruitment, whereas VDR-directed activation by CRSP/Med occurs normally. Thus, it appears that CRSP/Med may be regulated by a combinatorial assembly mechanism that allows promoter-selective function upon exchange of specific coactivator targets.

Distinct conformational states of nuclear receptor-bound CRSP-Med complexes

The human CRSP-Med coactivator complex is targeted by a diverse array of sequence-specific regulatory proteins. Using EM and single-particle reconstruction techniques, we recently completed a structural analysis of CRSP-Med bound to VP16 and SREBP-1a. Notably, these activators induced distinct conformational states upon binding the coactivator. Ostensibly, these different conformational states result from VP16 and SREBP-1a targeting distinct subunits in the CRSP-Med complex. To test this, we conducted a structural analysis of CRSP-Med bound to either thyroid hormone receptor (TR) or vitamin D receptor (VDR), both of which interact with the same subunit (Med220) of CRSP-Med. Structural comparison of TR- and VDR-bound complexes (at a resolution of 29 A) indeed reveals a shared conformational feature that is distinct from other known CRSP- Med structures. Importantly, this nuclear receptor-induced structural shift seems largely dependent on the movement of Med220 within the complex.

Three-Dimensional Electron Microscopy at Molecular Resolution

Emerging methods in cryo-electron microscopy allow determination of the three-dimensional architectures of objects ranging in size from small proteins to large eukaryotic cells, spanning a size range of more than 12 orders of magnitude. Advances in determining structures by "single particle" microscopy and by "electron tomography" provide exciting opportunities to describe the structures of subcellular assemblies that are either too large or too heterogeneous to be investigated by conventional crystallographic methods. Here, we review selected aspects of progress in structure determination by cryo-electron microscopy at molecular resolution, with a particular emphasis on topics at the interface of single particle and tomographic approaches. The rapid pace of development in this field suggests that comprehensive descriptions of the structures of whole cells and organelles in terms of the spatial arrangements of their molecular components may soon become routine.

The Kohonen self-organizing map: a tool for the clustering and alignment of single particles imaged using random conical tilt

An important step in determining the three-dimensional structure of single macromolecules is to bring common features in the images into register through alignment and classification. Here, we took advantage of the striking computational properties of the Kohonen self-organizing map (SOM) to align and classify images of channels obtained by random conical geometry into more homogeneous subsets. First, we used simulations with artificially created images to deduce simple geometrical rules governing the mapping of bounded (differing in size and shape) and unbounded (differing in in-plane orientation) variations in the output plane. Second, we measured the effect of noise on the accuracy of the algorithm to separate homogeneous subsets. Finally, we applied the rules ascertained in the previous steps to separate freeze-fracture images of the cytoplasmic and external domains of the small (approximately 118 kDa) aquaporin-0 water channel. Comparison with the results obtained from a similar input set using alignment-through-classification showed that both methods converged to stable classes exhibiting the same overall shapes (tetragonal and octagonal) for the cytoplasmic and external views of the channel. Processing with the SOM, however, was simplified by the utilization of the geometric rules governing the mapping of bounded and unbounded variations as well as the lack of subjectivity in selecting the reference images during alignment.

Three-dimensional structure of a pre-catalytic human spliceosomal complex B

Major structural changes occur in the spliceosome during its transition from the fully assembled complex B to the catalytically activated spliceosome. To understand the rearrangement, it is necessary to know the detailed three-dimensional structures of these complexes. Here, we have immunoaffinity-purified human spliceosomes (designated B Delta U1) at a stage after U4/U6.U5 tri-snRNP integration but before activation, and have determined the three-dimensional structure of B Delta U1 by single-particle electron cryomicroscopy at a resolution of approximately 40 A. The overall size of the complex is about 370 x 270 x 170 A. The three-dimensional structure features a roughly triangular body linked to a head domain in variable orientations. The body is very similar in size and shape to the isolated U4/U6.U5 tri-snRNP. This provides initial insight into the structural organization of complex B.

Freezing immunoglobulins to see them move

The issue of protein dynamics and its implications in the biological function of proteins are arousing greater and greater interest in different fields of molecular biology. In cryo-electron tomography experiments one may take several snapshots of a given biological macromolecule. In principle, a large enough collection of snapshots of the molecule may then be used to calculate its equilibrium configuration in terms of the experimentally accessible degrees of freedom and, hence, to estimate its potential energy. This information would be crucial in order to analyze the biological functions of biomolecules by directly accessing the relevant dynamical indicators. In this article, we analyze the results of cryo-electron tomography experiments performed on monoclonal murine IgG2a antibodies. We measure the equilibrium distribution of the molecule in terms of the relevant angular coordinates and build a mechanical model of the antibody dynamics. This approach enables us to derive an explicit expression of the IgG potential energy. Furthermore, we discuss the configuration space at equilibrium in relation to results from other techniques, and we set our discussion in the context of the current debate regarding conformation and flexibility of antibodies.

Negative Staining and Image Classification - Powerful Tools in Modern Electron Microscopy

Vitrification is the state-of-the-art specimen preparation technique for molecular electron microscopy (EM) and therefore negative staining may appear to be an outdated approach. In this paper we illustrate the specific advantages of negative staining, ensuring that this technique will remain an important tool for the study of biological macromolecules. Due to the higher image contrast, much smaller molecules can be visualized by negative staining. Also, while molecules prepared by vitrification usually adopt random orientations in the amorphous ice layer, negative staining tends to induce preferred orientations of the molecules on the carbon support film. Combining negative staining with image classification techniques makes it possible to work with very heterogeneous molecule populations, which are difficult or even impossible to analyze using vitrified specimens.

Three-dimensional structure of C complex spliceosomes by electron microscopy

The spliceosome is a multimegadalton RNA-protein machine that removes noncoding sequences from nascent pre-mRNAs. Recruitment of the spliceosome to splice sites and subsequent splicing require a series of dynamic interactions among the spliceosome's component U snRNPs and many additional protein factors. These dynamics present several challenges for structural analyses, including purification of stable complexes to compositional homogeneity and assessment of conformational heterogeneity. We have isolated spliceosomes arrested before the second chemical step of splicing (C complex) in which U2, U5 and U6 snRNAs are stably associated. Using electron microscopy, we obtained images of C complex spliceosomes under cryogenic conditions and determined a three-dimensional structure of a core complex to a resolution of 30 A. The structure reveals a particle of dimensions 27 x 22 x 24 nm with a relatively open arrangement of three primary domains.

Large T antigen on the simian virus 40 origin of replication: a 3D snapshot prior to DNA replication

Large T antigen is the replicative helicase of simian virus 40. Its specific binding to the origin of replication and oligomerization into a double hexamer distorts and unwinds dsDNA. In viral replication, T antigen acts as a functional homolog of the eukaryotic minichromosome maintenance factor MCM. T antigen is also an oncoprotein involved in transformation through interaction with p53 and pRb. We obtained the three-dimensional structure of the full-length T antigen double hexamer assembled at its origin of replication by cryoelectron microscopy and single-particle reconstruction techniques. The double hexamer shows different degrees of bending along the DNA axis. The two hexamers are differentiated entities rotated relative to each other. Isolated strands of density, putatively assigned to ssDNA, protrude from the hexamer-hexamer junction mainly at two opposite sites. The structure of the T antigen at the origin of replication can be understood as a snapshot of the dynamic events leading to DNA unwinding. Based on these results a model for the initiation of simian virus 40 DNA replication is proposed.

Structure of integrin alpha5beta1 in complex with fibronectin

The membrane-distal headpiece of integrins has evolved to specifically bind large extracellular protein ligands, but the molecular architecture of the resulting complexes has not been determined. We used molecular electron microscopy to determine the three-dimensional structure of the ligand-binding headpiece of integrin alpha5beta1 complexed with fragments of its physiological ligand fibronectin. The density map for the unliganded alpha5beta1 headpiece shows a 'closed' conformation similar to that seen in the alphaVbeta3 crystal structure. By contrast, binding to fibronectin induces an 'open' conformation with a dramatic, approximately 80 degrees change in the angle of the hybrid domain of the beta subunit relative to its I-like domain. The fibronectin fragment binds to the interface between the beta-propeller and I-like domains in the integrin headpiece through the RGD-containing module 10, but direct contact of the synergy-region-containing module 9 to integrin is not evident. This finding is corroborated by kinetic analysis of real-time binding data, which shows that the synergy site greatly enhances k(on) but has little effect on the stability or k(off) of the complex.

3D electron microscopy in the physical sciences: the development of Z-contrast and EFTEM tomography

The rapid advances in nanotechnology and the ever decreasing size of features in the microelectronics industry brings with it the need for advanced characterisation with high spatial resolution in two and three dimensions. Stereo microscopy allows some insight into the three-dimensional nature of an object but for true quantitative analysis, one has to turn to tomography as a way to reconstruct a three-dimensional object from a series of two-dimensional projections (images). X-ray tomography allow structures to be imaged at relatively large length scales, atom probe tomography at the atomic level. Electron tomography offers an intermediate resolution (of about 1nm) with a field of view of hundreds of nm making it ideal for the characterisation of many nanoscale devices. Whilst electron tomography has been used in the biological sciences for more than 30 years, it is only now being applied to the physical sciences. In this paper, we review the status of electron tomography, describe the basis behind the technique and some of the practicalities of recording and analysing data for tomographic reconstruction, particularly in regard to solving three-dimensional problems that are encountered in materials science at the nanometre level. We present examples of how STEM dark-field imaging and energy-filtered TEM can be used successfully to examine nearly all types of specimens likely to be encountered by the physical scientist.

Revisiting the structure of Alvinella pompejana hemoglobin at 20A resolution by cryoelectron microscopy

The hemoglobin of the polychaete worm Alvinella pompejana was reconstructed at 20A resolution from frozen-hydrated samples observed by electron microscopy according to the random conical tilt series method. This three-dimensional reconstruction was mirror-inverted with respect to a previous volume published by de Haas et al. in 1996. In order to explain this handedness discrepancy, various 3D reconstructions using different reference volumes were carried out showing that the choice of the first volume was the keystone during the refinement process. The 3D reconstruction volume of A. pompejana Hb presented structural features characteristic of annelid Hbs with two hexagonal layers each comprising six hollow globular subassemblies and a complex of non-heme linker chains. Moreover, the eclipsed conformation of the two hexagonal layers and a HGS architecture similar to that described for Arenicola marina Hb led to the conclusion that A. pompejana Hb belonged to the architectural type II according to the definition of Jouan et al. (2001). A comparison between this cryo-EM volume and X-ray crystallography density maps of Lumbricus terrestris type-I Hb (Royer et al., 2000) showed that the triple stranded coiled coil structures of linker chains were different. Based on this observation, a model was proposed to explain the eclipsed conformation of the two hexagonal layers of type-II Hbs.

Structure of functional single AQP0 channels in phospholipid membranes

Aquaporin-0 (AQP0) is the most prevalent intrinsic protein in the plasma membrane of lens fiber cells where it functions as a water selective channel and also participates in fiber-fiber adhesion. We report the 3D envelope of purified AQP0 reconstituted with random orientation in phospholipid bilayers as single particles. The envelope was obtained by combining freeze-fracture, shadowing and random conical tilt electron microscopy followed by single particle image processing. Two-dimensional analysis of 2547 untilted images produced eight class averages exhibiting "square" and "octagonal" shapes with a continuum of variation. We reconstructed in 3D five class averages that best described the data set. The reconstructions ("molds") appeared as metal cups exhibiting external and internal surfaces. We used the internal surface of the mold to calculate the "imprints" that represent the AQP0 particles protruding from the hydrophobic core of the phospholipid bilayer. The complete envelope of the channel, formed by joining the square and octagonal imprints, described accurately the size, shape, oligomeric state, orientation, and molecular weight of the AQP0 channel inserted in the phospholipid bilayer. Rigid body docking of the atomic model of the aquaporin-1 (AQP1) tetramer showed that the freeze-fracture envelope accounted for the conserved transmembrane domain (approximately 73% similarity between AQP0 and AQP1) but not for the amino and carboxyl termini. We suggest that the discrepancy might reflect differences in the location of the amino and carboxyl termini in the crystal and in the phospholipid bilayer.

The variance of icosahedral virus models is a key indicator in the structure determination: a model-free reconstruction of viruses, suitable for refractory particles

A model-free method to determine the three-dimensional structure of icosahedral viruses is described. The novel strategy is based upon the approximate principle that correct virus structures have high variance as do all other well-detailed structures, even wrong ones. The original projections of individual particles are reduced to a radius of 25 pixels and are used to compute single particle reconstruction models by assigning them 1800 different Euler triads. The variance of the models obtained from all projections is stored in maps and a decimation process is carried out. In a first stage, thresholds are adopted for the variance values, and in a second stage, carried out by correspondence analysis and classification, 30 clusters of models are sorted out. The clusters are refined to yield models contained in boxes of 64(3) voxels. The refined models with highest variance and closest similarity represent the correct solution. Once enlarged, these models can be used to align all available projections in their original scale in a customary projection-matching process. The method has proved successful in determining the structures of poliovirus, of the empty and filled capsids of L-A virus, and of a modified capsid of hepatitis B virus.

Structural biology of viruses by the combination of electron cryomicroscopy and X-ray crystallography

Recent developments in electron cryomicroscopy and image analysis have made it a powerful tool to investigate the structure, assembly, and dynamics of biological supramolecular assemblies. The subjects of study now include a variety of biological samples that may be homogeneous or heterogeneous, symmetric or nonsymmetric. The combination of this technique with X-ray crystallography plays an increasingly important role in structural biology and provides unique structural information for understanding large, complex biological systems. Here we provide an overview of the technologies and specific applications to virus structure and function.

A trajectory-based algorithm to determine and refine Euler angles of projections in three-dimensional microscopy. Improvements and tests

An improvement of the trajectory matching algorithm is presented, which is based on the use of the derivative of trajectories and of the projection of experimental sinogram lines in the factor space determined by sinogram lines of projections of a model. The algorithm performance is illustrated by use of different phantom structures, to show the effect of symmetry on trajectory matching. A GroEL complex has also been reconstructed from both cryo-negatively stained and unstained frozen-hydrated samples. The refinement of this structure has been carried out by the trajectory matching algorithm as well as by conventional cross-correlation methods. Slight differences among the two results are discussed. The improved trajectory matching algorithm, based on chi2 distances, runs much faster than correlation analysis and looks satisfactory as for the quality of the reconstructed structures.

Ultrastructural organization of lamprey reticulospinal synapses in three dimensions

The giant reticulospinal synapse in lamprey provides a unique model to study synaptic vesicle traffic. The axon permits microinjections, and the active zones are often separated from each other, which makes it possible to track vesicle cycling at individual release sites. However, the proportion of reticulospinal synapses with individual active zones ("simple synapses") is unknown and a quantitative description of their organization is lacking. Here, we report such data obtained by serial section analysis, intermediate-voltage electron microscopy, and electron tomography. The simple synapse was the most common type (78%). It consisted of one active zone contacting one dendritic process. The remaining synapses were "complex," mostly containing one vesicle cluster and two to three active zones synapsing with distinct dendritic shafts. Occasional axosomatic synapses with multiple active zones forming synapses with the same cell were also observed. The vast majority of active zones in all synapse types contained both chemical and electrotonic synaptic specializations. Quantitative analysis of simple synapses showed that the majority had active zones with a diameter of 0.8-1.8 microm. The number of synaptic vesicles and the height of the vesicle cluster in middle sections of serially cut synapses correlated with the active zone length within, but not above, this size range. Electron tomography of simple synapses revealed small filaments between the clustered synaptic vesicles. A single vesicle could be in contact with up to 12 filaments. Another type of filament, also associated with synaptic vesicles, emerged from dense projections. Up to six filaments could be traced from one dense projection.

Structure of the yeast RNA polymerase II holoenzyme: Mediator conformation and polymerase interaction

The holoenzyme formed by RNA polymerase II (RNAPII) and the Mediator complex is the target of transcriptional regulators in vivo. A three-dimensional structure of the yeast holoenzyme has been generated from electron microscopic images of single holoenzyme particles. Extensive changes in Mediator conformation required for interaction with RNAPII have been modeled by correlating the polymerase-bound and free Mediator structures. Determination of the precise orientation of the RNAPII in the holoenzyme indicates that Mediator contacts are centered on the RNAPII Rpb3/Rpb11 heterodimer, the eukaryotic homolog of the alpha(2) homodimer involved in transcription regulation in prokaryotes. Implications for the possible mechanism of transcription regulation by Mediator are discussed.

Single-particle imaging of macromolecules by cryo-electron microscopy

Cryo-electron microscopy (cryo-EM) of biological molecules in single-particle (i.e., unordered, nonaggregated) form is a new approach to the study of molecular assemblies, which are often too large and flexible to be amenable to X-ray crystallography. New insights into biological function on the molecular level are expected from cryo-EM applied to the study of such complexes "trapped" at different stages of their conformational changes and dynamical interactions. Important molecular machines involved in the fundamental processes of transcription, mRNA splicing, and translation are examples for successful applications of the new technique, combined with structural knowledge gained by conventional techniques of structure determination, such as X-ray crystallography and NMR.

Mapping histone fold TAFs within yeast TFIID

The transcription factor TFIID is a large multiprotein complex, composed of the TATA box-binding protein (TBP) and 14 TBP-associated factors (TAFs), which plays a key role in the regulation of gene expression by RNA polymerase II. The three-dimensional structure of yeast (y) TFIID, determined at approximately 3 nm resolution by electron microscopy and image analysis, resembles a molecular clamp formed by three major lobes connected by thin linking domains. The yTFIID is structurally similar to the human factor although the clamp appears more closed in the yeast complex, probably reflecting the conformational flexibility of the structure. Immunolabelling experiments showed that nine TAFs that contain the histone fold structural motif were located in three distinct substructures of TFIID. The distribution of these TAFs showed that the previously reported pair-wise interactions between histone fold domain (HFD)-containing TAFs are likely to occur in the native yTFIID complex. Most of the HFD-containing TAFs have been found in two distinct lobes, thus revealing an unexpected and novel molecular organization of TFIID.

Human CRSP interacts with RNA polymerase II CTD and adopts a specific CTD-bound conformation

Activation of gene transcription in mammalian cells requires several classes of coactivators that participate in different steps of the activation cascade. Using conventional and affinity chromatography, we have isolated a human coactivator complex that interacts directly with the C-terminal domain (CTD) of RNA polymerase II (Pol II). The CTD-binding complex is structurally and functionally indistinguishable from our previously isolated CRSP coactivator complex. The closely related, but transcriptionally inactive, ARC-L complex failed to interact with the CTD, indicating a significant biochemical difference between CRSP and ARC-L that may, in part, explain their functional divergence. Electron microscopy and three-dimensional single-particle reconstruction reveals a conformation for CTD-CRSP that is structurally distinct from unliganded CRSP or CRSP bound to SREBP-1a, but highly similar to CRSP bound to the VP16 activator. Together, our findings suggest that the human CRSP coactivator functions, at least in part, by mediating activator-dependent recruitment of RNA Pol II via the CTD.

A Bayesian method for classification of images from electron micrographs

Particle classification is an important component of multivariate statistical analysis methods that has been used extensively to extract information from electron micrographs of single particles. Here we describe a new Bayesian Gibbs sampling algorithm for the classification of such images. This algorithm, which is applied after dimension reduction by correspondence analysis or by principal components analysis, dynamically learns the parameters of the multivariate Gaussian distributions that characterize each class. These distributions describe tilted ellipsoidal clusters that adaptively adjust shape to capture differences in the variances of factors and the correlations of factors within classes. A novel Bayesian procedure to objectively select factors for inclusion in the classification models is a component of this procedure. A comparison of this algorithm with hierarchical ascendant classification of simulated data sets shows improved classification over a broad range of signal-to-noise ratios.

Striking conformational change suspected within the phosphoribulokinase dimer induced by interaction with GAPDH

A multitechnique approach was used to study the [glyceraldehyde-3-phosphate dehydrogenase](2 x 4)-[phosphoribulokinase](2 x 2) multienzymatic complex of the alga Chlamydomonas reinhardtii. On the one hand, each component of the complex was compared with known atomic structures of related enzymes or of similar enzymes originating from different organisms. On the other hand, the overall low resolution architecture of the whole complex was studied using cryoelectron microscopy and image processing techniques. The dimers of phosphoribulokinase are suspected to undergo a dramatic change in activity during a cycle of binding and detaching from tetramers of glyceraldehyde-3-phosphate dehydrogenase. This is likely supported by strong structural differences between the modeled phosphoribulokinase dimers and the counterpart in the three-dimensional reconstruction volume of the whole complex obtained from cryoelectron microscope images.

Three-dimensional architecture of the eukaryotic multisynthetase complex determined from negatively stained and cryoelectron micrographs

This study provides the first description of the three-dimensional architecture of the multienzyme complex of aminoacyl-tRNA synthetases. Reconstructions were calculated from electron microscopic images of negatively stained and frozen hydrated samples using three independent angular assignment methods. In all cases, volumes show an asymmetric triangular arrangement of protein domains around a deep central cavity. The structures have openings or indentations on most sides. Maximum dimensions are ca. 19x16x10 nm. The central cavity is 4 nm in diameter and extends two-thirds of the length of the particle.

Three-dimensional structure of phosphorylase kinase at 22 A resolution and its complex with glycogen phosphorylase b

Phosphorylase kinase (PhK) integrates hormonal and neuronal signals and is a key enzyme in the control of glycogen metabolism. PhK is one of the largest of the protein kinases and is composed of four types of subunit, with stoichiometry (alphabetagammadelta)(4) and a total MW of 1.3 x 10(6). PhK catalyzes the phosphorylation of inactive glycogen phosphorylase b (GPb), resulting in the formation of active glycogen phosphorylase a (GPa) and the stimulation of glycogenolysis. We have determined the three-dimensional structure of PhK at 22 A resolution by electron microscopy with the random conical tilt method. We have also determined the structure of PhK decorated with GPb at 28 A resolution. GPb is bound toward the ends of each of the lobes with an apparent stoichiometry of four GPb dimers per (alphabetagammadelta)(4) PhK. The PhK/GPb model provides an explanation for the formation of hybrid GPab intermediates in the PhK-catalyzed phosphorylation of GPb.

The first three-dimensional structure of phosphofructokinase from Saccharomyces cerevisiae determined by electron microscopy of single particles

Phosphofructokinaseis a key regulatory enzyme of the glycolytic pathway. We have determined the structure of this enzyme from Saccharomyces cerevisiae to a resolution of 2.0 nm. This is the first structure available for this family of enzymes in eukaryotic organisms. Phosphofructokinase is an octamer composed of 4alpha and 4beta subunits arranged in a dihedral point group symmetry D(2). The enzyme has a very open and elongated structure, with dimensions of 24 nm in length and 17 nm in width. The final structure, calculated from 0 degrees tilt projections of the molecule at random orientations using as reference the volume obtained by the random conical reconstruction technique in ice, has allowed us to discern the shapes of the subunits and their mutual arrangement in the octamer.