ABSTRACT
Ribonucleotide reductases (RNRs) use a conserved radical-based mechanism to catalyze the conversion of ribonucleotides to deoxyribonucleotides. Within the RNR family, class Ib RNRs are notable for being largely restricted to bacteria, including many pathogens, and for lacking an evolutionarily mobile ATP-cone domain that allosterically controls overall activity. In this study, we report the emergence of a distinct and unexpected mechanism of activity regulation in the sole RNR of the model organism Bacillus subtilis. Using a hypothesis-driven structural approach that combines the strengths of small-angle X-ray scattering (SAXS), crystallography, and cryo-electron microscopy (cryo-EM), we describe the reversible interconversion of six unique structures, including a flexible active tetramer and two inhibited helical filaments. These structures reveal the conformational gymnastics necessary for RNR activity and the molecular basis for its control via an evolutionarily convergent form of allostery.
Subject(s)
Allosteric Site/genetics , Bacterial Proteins/genetics , Ribonucleotide Reductases/genetics , Allosteric Regulation/genetics , Bacillus subtilis/genetics , Bacillus subtilis/metabolism , Bacterial Proteins/chemistry , Bacterial Proteins/metabolism , Bacterial Proteins/ultrastructure , Cryoelectron Microscopy , Crystallography, X-Ray , Evolution, Molecular , Models, Molecular , Protein Structure, Quaternary/genetics , Ribonucleotide Reductases/chemistry , Ribonucleotide Reductases/metabolism , Ribonucleotide Reductases/ultrastructure , Ribonucleotides/metabolism , Scattering, Small AngleABSTRACT
The protein quality control network (pQC) plays critical roles in maintaining protein and cellular homeostasis, especially during stress. Lon is a major pQC AAA+ protease, conserved from bacteria to human mitochondria. It is the principal enzyme that degrades most unfolded or damaged proteins. Degradation by Lon also controls cellular levels of several key regulatory proteins. Recently, our group determined that Escherichia coli Lon, previously thought to be an obligate homo-hexamer, also forms a dodecamer. This larger assembly has decreased ATPase activity and displays substrate-specific alterations in degradation compared with the hexamer. Here we experimentally probe the physical hexamer-hexamer interactions and the biological roles of the Lon dodecamer. Using structure prediction methods coupled with mutagenesis, we identified a key interface and specific residues within the Lon N domain that participates in an intermolecular coiled coil unique to the dodecamer. With this knowledge, we made a Lon variant (LonVQ ) that forms a dodecamer with increased stability, as determined by analytical ultracentrifugation and electron microscopy. Using this altered Lon, we characterize the Lon dodecamer's activities using a panel of substrates. Lon dodecamers are clearly functional, and complement critical lon- phenotypes but also exhibit altered substrate specificity. For example, the small heat shock proteins IbpA and IbpB are only efficiently degraded well by the hexamer. Thus, by elucidating the intermolecular contacts connecting the hexamers, we are starting to illuminate how dodecamer formation versus disassembly can alter Lon function under conditions where controlling specific activities and substrate preferences of this key protease may be advantageous.
Subject(s)
ATPases Associated with Diverse Cellular Activities/chemistry , ATPases Associated with Diverse Cellular Activities/metabolism , Humans , Protein Domains , Substrate SpecificityABSTRACT
The cystic fibrosis transmembrane conductance regulator (CFTR) anion channel, crucial to epithelial salt and water homeostasis, and defective due to mutations in its gene in patients with cystic fibrosis, is a unique member of the large family of ATP-binding cassette transport proteins. Regulation of CFTR channel activity is stringently controlled by phosphorylation and nucleotide binding. Structural changes that underlie transitions between active and inactive functional states are not yet fully understood. Indeed the first 3D structures of dephosphorylated, ATP-free, and phosphorylated ATP-bound states were only recently reported. Here we have determined the structure of inactive and active states of a thermally stabilized CFTR, the latter with a very high channel open probability, confirmed after reconstitution into proteoliposomes. These structures, obtained at nominal resolution of 4.3 and 6.6 Å, reveal a unique repositioning of the transmembrane helices and regulatory domain density that provide insights into the structural transition between active and inactive functional states of CFTR. Moreover, we observe an extracellular vestibule that may provide anion access to the pore due to the conformation of transmembrane helices 7 and 8 that differs from the previous orthologue CFTR structures. In conclusion, our work contributes detailed structural information on an active, open state of the CFTR anion channel.
Subject(s)
Adenosine Triphosphate/metabolism , Cryoelectron Microscopy/methods , Cystic Fibrosis Transmembrane Conductance Regulator/metabolism , Cystic Fibrosis Transmembrane Conductance Regulator/ultrastructure , Animals , Chickens , Ion Channel Gating , PhosphorylationABSTRACT
KATP channels are metabolic sensors that couple cell energetics to membrane excitability. In pancreatic ß-cells, channels formed by SUR1 and Kir6.2 regulate insulin secretion and are the targets of antidiabetic sulfonylureas. Here, we used cryo-EM to elucidate structural basis of channel assembly and gating. The structure, determined in the presence of ATP and the sulfonylurea glibenclamide, at ~6 Å resolution reveals a closed Kir6.2 tetrameric core with four peripheral SUR1s each anchored to a Kir6.2 by its N-terminal transmembrane domain (TMD0). Intricate interactions between TMD0, the loop following TMD0, and Kir6.2 near the proposed PIP2 binding site, and where ATP density is observed, suggest SUR1 may contribute to ATP and PIP2 binding to enhance Kir6.2 sensitivity to both. The SUR1-ABC core is found in an unusual inward-facing conformation whereby the two nucleotide binding domains are misaligned along a two-fold symmetry axis, revealing a possible mechanism by which glibenclamide inhibits channel activity.
Subject(s)
Cryoelectron Microscopy , Potassium Channels, Inwardly Rectifying/metabolism , Potassium Channels, Inwardly Rectifying/ultrastructure , Sulfonylurea Receptors/metabolism , Sulfonylurea Receptors/ultrastructure , Adenosine Triphosphate/metabolism , Glyburide/metabolism , Humans , Models, Molecular , Protein Conformation , Protein MultimerizationABSTRACT
Lamina-associated polypeptide 1 (LAP1) resides at the nuclear envelope and interacts with Torsins, poorly understood endoplasmic reticulum (ER)-localized AAA+ ATPases, through a conserved, perinuclear domain. We determined the crystal structure of the perinuclear domain of human LAP1. LAP1 possesses an atypical AAA+ fold. While LAP1 lacks canonical nucleotide binding motifs, its strictly conserved arginine 563 is positioned exactly where the arginine finger of canonical AAA+ ATPases is found. Based on modeling and electron microscopic analysis, we propose that LAP1 targets Torsin to the nuclear envelope by forming an alternating, heterohexameric (LAP1-Torsin)3 ring, in which LAP1 acts as the Torsin activator. The experimental data show that mutation of arginine 563 in LAP1 reduces its ability to stimulate TorsinA ATPase hydrolysis. This knowledge may help scientists understand the etiology of DYT1 primary dystonia, a movement disorder caused by a single glutamate deletion in TorsinA.
Subject(s)
Membrane Proteins/metabolism , Molecular Chaperones/metabolism , Nuclear Envelope/metabolism , Nuclear Proteins/metabolism , Adenosine Triphosphatases/genetics , Adenosine Triphosphatases/metabolism , Amino Acid Sequence , Arginine/chemistry , Arginine/genetics , Arginine/metabolism , Binding Sites/genetics , Crystallography, X-Ray , Cytoskeletal Proteins , Dystonic Disorders/genetics , Dystonic Disorders/metabolism , Humans , Membrane Proteins/chemistry , Membrane Proteins/genetics , Microscopy, Electron , Models, Molecular , Molecular Chaperones/chemistry , Molecular Chaperones/genetics , Molecular Sequence Data , Mutation , Nuclear Proteins/chemistry , Nuclear Proteins/genetics , Protein Binding , Protein Multimerization , Protein Structure, Tertiary , Sequence Homology, Amino AcidABSTRACT
ATP-dependent proteases maintain protein quality control and regulate diverse intracellular functions. Proteasomes are primarily responsible for these tasks in the archaeal and eukaryotic domains of life. Even the simplest of these proteases function as large complexes, consisting of the 20S peptidase, a barrel-like structure composed of four heptameric rings, and one or two AAA+ (ATPase associated with a variety of cellular activities) ring hexamers, which use cycles of ATP binding and hydrolysis to unfold and translocate substrates into the 20S proteolytic chamber. Understanding how the AAA+ and 20S components of these enzymes interact and collaborate to execute protein degradation is important, but the highly dynamic nature of prokaryotic proteasomes has hampered structural characterization. Here, we use electron microscopy to determine the architecture of an archaeal Cdc48 â 20S proteasome, which we stabilized by site-specific cross-linking. This complex displays coaxial alignment of Cdc48 and 20S and is enzymatically active, demonstrating that AAA+ unfoldase wobbling with respect to 20S is not required for function. In the complex, the N-terminal domain of Cdc48, which regulates ATP hydrolysis and degradation, packs against the D1 ring of Cdc48 in a coplanar fashion, constraining mechanisms by which the N-terminal domain alters 20S affinity and degradation activity.
Subject(s)
Adenosine Triphosphatases/chemistry , Cell Cycle Proteins/chemistry , Proteasome Endopeptidase Complex/chemistry , Thermoplasma/enzymology , Adenosine Triphosphatases/metabolism , Adenosine Triphosphatases/ultrastructure , Adenosine Triphosphate/metabolism , Animals , Cell Cycle Proteins/metabolism , Cell Cycle Proteins/ultrastructure , Cross-Linking Reagents/metabolism , Enzyme Stability , Hydrolysis , Mice , Models, Molecular , Negative Staining , Proteasome Endopeptidase Complex/metabolism , Proteasome Endopeptidase Complex/ultrastructure , Protein Binding , Protein Structure, Tertiary , Valosin Containing ProteinABSTRACT
Nucleocytoplasmic transport is mediated by nuclear pore complexes (NPCs) embedded in the nuclear envelope. About 30 different proteins (nucleoporins, nups) arrange around a central eightfold rotational axis to build the modular NPC. Nup188 and Nup192 are related and evolutionary conserved, large nucleoporins that are part of the NPC scaffold. Here we determine the structure of Nup188. The protein folds into an extended stack of helices where an N-terminal 130 kDa segment forms an intricate closed ring, while the C-terminal region is a more regular, superhelical structure. Overall, the structure has distant similarity with flexible S-shaped nuclear transport receptors (NTRs). Intriguingly, like NTRs, both Nup188 and Nup192 specifically bind FG-repeats and are able to translocate through NPCs by facilitated diffusion. This blurs the existing dogma of a clear distinction between stationary nups and soluble NTRs and suggests an evolutionary relationship between the NPC and the soluble nuclear transport machinery. DOI:http://dx.doi.org/10.7554/eLife.00745.001.
Subject(s)
Nuclear Pore Complex Proteins/metabolism , Saccharomyces cerevisiae Proteins/metabolism , Models, Molecular , Nuclear Pore Complex Proteins/chemistry , Saccharomyces cerevisiae Proteins/chemistry , Structure-Activity RelationshipABSTRACT
Lon is an ATPase associated with cellular activities (AAA+) protease that controls cell division in response to stress and also degrades misfolded and damaged proteins. Subunits of Lon are known to assemble into ring-shaped homohexamers that enclose an internal degradation chamber. Here, we demonstrate that hexamers of Escherichia coli Lon also interact to form a dodecamer at physiological protein concentrations. Electron microscopy of this dodecamer reveals a prolate structure with the protease chambers at the distal ends and a matrix of N domains forming an equatorial hexamer-hexamer interface, with portals of â¼45 Å providing access to the enzyme lumen. Compared with hexamers, Lon dodecamers are much less active in degrading large substrates but equally active in degrading small substrates. Our results support a unique gating mechanism that allows the repertoire of Lon substrates to be tuned by its assembly state.
Subject(s)
Escherichia coli Proteins/chemistry , Escherichia coli/enzymology , Models, Molecular , Multienzyme Complexes/chemistry , Protease La/chemistry , Protein Conformation , Proteolysis , Blotting, Western , Chromatography, Gel , Escherichia coli Proteins/genetics , Escherichia coli Proteins/metabolism , Lasers , Microscopy, Electron , Multienzyme Complexes/metabolism , Mutation, Missense/genetics , Protease La/genetics , Protease La/metabolism , Scattering, Radiation , UltracentrifugationABSTRACT
Double-stranded RNA (dsRNA) viruses transcribe and replicate RNA within an assembled, inner capsid particle; only plus-sense mRNA emerges into the intracellular milieu. During infectious entry of a rotavirus particle, the outer layer of its three-layer structure dissociates, delivering the inner double-layered particle (DLP) into the cytosol. DLP structures determined by X-ray crystallography and electron cryomicroscopy (cryoEM) show that the RNA coils uniformly into the particle interior, avoiding a "fivefold hub" of more structured density projecting inward from the VP2 shell of the DLP along each of the twelve 5-fold axes. Analysis of the X-ray crystallographic electron density map suggested that principal contributors to the hub are the N-terminal arms of VP2, but reexamination of the cryoEM map has shown that many features come from a molecule of VP1, randomly occupying five equivalent and partly overlapping positions. We confirm here that the electron density in the X-ray map leads to the same conclusion, and we describe the functional implications of the orientation and position of the polymerase. The exit channel for the nascent transcript directs the nascent transcript toward an opening along the 5-fold axis. The template strand enters from within the particle, and the dsRNA product of the initial replication step exits in a direction tangential to the inner surface of the VP2 shell, allowing it to coil optimally within the DLP. The polymerases of reoviruses appear to have similar positions and functional orientations.
Subject(s)
Capsid/chemistry , Rotavirus/enzymology , Viral Core Proteins/chemistry , Viral Core Proteins/metabolism , Cryoelectron Microscopy , Crystallography, X-Ray , Image Processing, Computer-Assisted , Models, Molecular , RNA, Double-Stranded/genetics , RNA, Messenger/genetics , RNA, Viral/genetics , Rotavirus/chemistry , Rotavirus/genetics , Rotavirus/ultrastructure , Viral Core Proteins/genetics , Virus AssemblyABSTRACT
The contrast observed in images of frozen-hydrated biological specimens prepared for electron cryo-microscopy falls significantly short of theoretical predictions. In addition to limits imposed by the current instrumentation, it is widely acknowledged that motion of the specimen during its exposure to the electron beam leads to significant blurring in the recorded images. We have studied the amount and direction of motion of virus particles suspended in thin vitrified ice layers across holes in perforated carbon films using exposure series. Our data show that the particle motion is correlated within patches of 0.3-0.5 µm, indicating that the whole ice layer is moving in a drum-like motion, with accompanying particle rotations of up to a few degrees. Support films with smaller holes, as well as lower electron dose rates tend to reduce beam-induced specimen motion, consistent with a mechanical effect. Finally, analysis of movies showing changes in the specimen during beam exposure show that the specimen moves significantly more at the start of an exposure than towards its end. We show how alignment and averaging of movie frames can be used to restore high-resolution detail in images affected by beam-induced motion.
Subject(s)
Cryoelectron Microscopy/methods , Image Processing, Computer-Assisted/methodsABSTRACT
The comparison of a pair of electron microscope images recorded at different specimen tilt angles provides a powerful approach for evaluating the quality of images, image-processing procedures, or three-dimensional structures. Here, we analyze tilt-pair images recorded from a range of specimens with different symmetries and molecular masses and show how the analysis can produce valuable information not easily obtained otherwise. We show that the accuracy of orientation determination of individual single particles depends on molecular mass, as expected theoretically since the information in each particle image increases with molecular mass. The angular uncertainty is less than 1° for particles of high molecular mass (~50 MDa), several degrees for particles in the range 1-5 MDa, and tens of degrees for particles below 1 MDa. Orientational uncertainty may be the major contributor to the effective temperature factor (B-factor) describing contrast loss and therefore the maximum resolution of a structure determination. We also made two unexpected observations. Single particles that are known to be flexible showed a wider spread in orientation accuracy, and the orientations of the largest particles examined changed by several degrees during typical low-dose exposures. Smaller particles presumably also reorient during the exposure; hence, specimen movement is a second major factor that limits resolution. Tilt pairs thus enable assessment of orientation accuracy, map quality, specimen motion, and conformational heterogeneity. A convincing tilt-pair parameter plot, where 60% of the particles show a single cluster around the expected tilt axis and tilt angle, provides confidence in a structure determined using electron cryomicroscopy.
Subject(s)
Adenosine Triphosphatases/ultrastructure , Cryoelectron Microscopy , Image Processing, Computer-Assisted , Virion/ultrastructure , Yeasts/ultrastructure , beta-Galactosidase/ultrastructure , Animals , Cattle , Rotavirus/chemistryABSTRACT
Non-enveloped viruses of different types have evolved distinct mechanisms for penetrating a cellular membrane during infection. Rotavirus penetration appears to occur by a process resembling enveloped-virus fusion: membrane distortion linked to conformational changes in a viral protein. Evidence for such a mechanism comes from crystallographic analyses of fragments of VP4, the rotavirus-penetration protein, and infectivity analyses of structure-based VP4 mutants. We describe here the structure of an infectious rotavirus particle determined by electron cryomicroscopy (cryoEM) and single-particle analysis at about 4.3 Å resolution. The cryoEM image reconstruction permits a nearly complete trace of the VP4 polypeptide chain, including the positions of most side chains. It shows how the two subfragments of VP4 (VP8(*) and VP5(*)) retain their association after proteolytic cleavage, reveals multiple structural roles for the ß-barrel domain of VP5(*), and specifies interactions of VP4 with other capsid proteins. The virion model allows us to integrate structural and functional information into a coherent mechanism for rotavirus entry.
Subject(s)
Capsid Proteins/genetics , Models, Molecular , Rotavirus/ultrastructure , Virion/ultrastructure , Virus Internalization , Cell Membrane/metabolism , Cryoelectron Microscopy , Crystallography , Protein Structure, Secondary , Rotavirus/metabolismABSTRACT
Rotaviruses, major causes of childhood gastroenteritis, are nonenveloped, icosahedral particles with double-strand RNA genomes. By the use of electron cryomicroscopy and single-particle reconstruction, we have visualized a rotavirus particle comprising the inner capsid coated with the trimeric outer-layer protein, VP7, at a resolution (4 A) comparable with that of X-ray crystallography. We have traced the VP7 polypeptide chain, including parts not seen in its X-ray crystal structure. The 3 well-ordered, 30-residue, N-terminal "arms" of each VP7 trimer grip the underlying trimer of VP6, an inner-capsid protein. Structural differences between free and particle-bound VP7 and between free and VP7-coated inner capsids may regulate mRNA transcription and release. The Ca(2+)-stabilized VP7 intratrimer contact region, which presents important neutralizing epitopes, is unaltered upon capsid binding.
Subject(s)
Cryoelectron Microscopy/methods , Rotavirus/ultrastructure , Virion/ultrastructure , Antigens, Viral/chemistry , Antigens, Viral/metabolism , Antigens, Viral/ultrastructure , Calcium/metabolism , Capsid Proteins/chemistry , Capsid Proteins/metabolism , Capsid Proteins/ultrastructure , Crystallography, X-Ray , Models, Biological , Models, Molecular , Protein Multimerization , Protein Structure, Quaternary , Rotavirus/metabolism , Viral Core Proteins/chemistry , Viral Core Proteins/metabolism , Viral Core Proteins/ultrastructure , Virion/metabolismABSTRACT
A low beam intensity, low electron dose imaging method has been developed for single-particle electron cryo-microscopy (cryo-EM). Experiments indicate that the new technique can reduce beam-induced specimen movement and secondary radiolytic effects, such as "bubbling". The improvement in image quality, especially for multiple-exposure data collection, will help single-particle cryo-EM to reach higher resolution.
Subject(s)
Cryoelectron Microscopy/methods , Image Processing, Computer-Assisted/methods , Tobacco Mosaic Virus/ultrastructureABSTRACT
The treatment of helical objects as a string of single particles has become an established technique to resolve their three-dimensional (3D) structure using electron cryo-microscopy. It can be applied to a wide range of helical particles such as viruses, microtubules and helical filaments. We have made improvements to this approach using Tobacco Mosaic Virus (TMV) as a test specimen and obtained a map from 210,000 asymmetric units at a resolution better than 5 A. This was made possible by performing a full correction of the contrast transfer function of the microscope. Alignment of helical segments was helped by constraints derived from the helical symmetry of the virus. Furthermore, symmetrization was implemented by multiple inclusions of symmetry-related views in the 3D reconstruction. We used the density map to build an atomic model of TMV. The model was refined using a real-space refinement strategy that accommodates multiple conformers. The atomic model shows significant deviations from the deposited model for the helical form of TMV at the lower-radius region (residues 88 to 109). This region appears more ordered with well-defined secondary structure, compared with the earlier helical structure. The RNA phosphate backbone is sandwiched between two arginine side-chains, stabilizing the interaction between RNA and coat protein. A cluster of two or three carboxylates is buried in a hydrophobic environment isolating it from neighboring subunits. These carboxylates may represent the so-called Caspar carboxylates that form a metastable switch for viral disassembly. Overall, the observed differences suggest that the new model represents a different, more stable state of the virus, compared with the earlier published model.
Subject(s)
Cryoelectron Microscopy , Tobacco Mosaic Virus/ultrastructure , Viral Proteins/chemistry , Viral Proteins/ultrastructure , Virion/ultrastructure , Hydrogen Bonding , Models, Biological , Models, Molecular , Protein Structure, Secondary , RNA, Viral/chemistry , RNA, Viral/ultrastructure , Reproducibility of Results , Static ElectricityABSTRACT
SIGNATURE is a particle selection system for molecular electron microscopy. It applies a hierarchical screening procedure to identify molecular particles in EM micrographs. The user interface of the program provides versatile functions to facilitate image data visualization, particle annotation and particle quality inspection. The system design emphasizes both functionality and usability. This software has been released to the EM community and has been successfully applied to macromolecular structural analyses.
Subject(s)
Algorithms , Cryoelectron Microscopy/methods , Pattern Recognition, Automated/methods , Computational Biology , Hemocyanins/chemistry , Spectrum Analysis/methodsABSTRACT
The axial proteins of the bacterial flagellum function as a drive shaft, universal joint, and propeller driven by the flagellar rotary motor; they also form the putative protein export channel. The N- and C-terminal sequences of the eight axial proteins were predicted to form interlocking alpha-domains generating an axial tube. We report on an approximately 1-nm resolution map of the hook from Salmonella typhimurium, which reveals such a tube made from interdigitated, 1-nm rod-like densities similar to those seen in maps of the filament. Atomic models for the two outer domains of the hook subunit were docked into the corresponding outermost features of the map. The N and C termini of the hook subunit fragment are positioned next to each other and face toward the axis of the hook. The placement of these termini would permit the residues missing in the fragment to form the rod-like features that form the core domain of the hook. We also fit the hook atomic model to an approximately 2-nm resolution map of the hook from Caulobacter crescentus. The hook protein sequence from C. crescentus is largely homologous to that of S. typhimurium except for a large insertion (20 kDa). According to difference maps and our fitting, this insertion is found on the outer surface of the hook, consistent with our modeling of the hook.
Subject(s)
Bacterial Proteins/chemistry , Salmonella typhimurium/chemistry , Amino Acid Sequence , Models, Molecular , Molecular Sequence Data , Protein Structure, SecondaryABSTRACT
The bacterial flagellum is a motile organelle, and the flagellar hook is a short, highly curved tubular structure that connects the flagellar motor to the long filament acting as a helical propeller. The hook is made of about 120 copies of a single protein, FlgE, and its function as a nano-sized universal joint is essential for dynamic and efficient bacterial motility and taxis. It transmits the motor torque to the helical propeller over a wide range of its orientation for swimming and tumbling. Here we report a partial atomic model of the hook obtained by X-ray crystallography of FlgE31, a major proteolytic fragment of FlgE lacking unfolded terminal regions, and by electron cryomicroscopy and three-dimensional helical image reconstruction of the hook. The model reveals the intricate molecular interactions and a plausible switching mechanism for the hook to be flexible in bending but rigid against twisting for its universal joint function.
Subject(s)
Bacterial Proteins/chemistry , Salmonella typhimurium/chemistry , Bacterial Proteins/ultrastructure , Computer Simulation , Cryoelectron Microscopy , Crystallography, X-Ray , Models, Molecular , Peptide Fragments/chemistry , Peptide Fragments/ultrastructure , Pliability , Protein Structure, Quaternary , Protein Subunits/chemistryABSTRACT
A real-space structure refinement method, originally developed for macromolecular X-ray crystallography, has been applied to protein structure analysis by electron microscopy (EM). This method simultaneously optimizes the fit of an atomic model to a density map and the stereo-chemical properties of the model by minimizing an energy function. The performance of this method is characterized at different resolution and signal-to-noise ratio conditions typical for EM electron density maps. A multi-resolution scheme is devised to improve the convergence of the refinement on the global energy minimum. Applications of the method to various model systems are demonstrated here. The first case is the arrangement of FlgE molecules in the helical filament of flagellar hook, in which refinement with segmented rigid bodies improves the density correlation and reduces severe van der Waals contacts among the symmetry-related subunits. The second case is a conformational analysis of the NSF AAA ATPase in which a multi-conformer model is used in the refinement to investigate the arrangement of the two ATPase domains in the molecule. The third case is a docking simulation in which the crystal structure of actin and the NOE data from NMR experiments on the dematin headpiece are combined with a low-resolution EM density map to generate an atomic model of the F-actin-dematin headpiece structure.
Subject(s)
Crystallography, X-Ray/methods , Microscopy, Electron/methods , Vesicular Transport Proteins , Actins/chemistry , Bacterial Proteins/chemistry , Biophysical Phenomena , Biophysics , Blood Proteins/chemistry , Carrier Proteins/chemistry , Electrons , Ligands , Models, Molecular , N-Ethylmaleimide-Sensitive Proteins , Protein Conformation , Protein Folding , Protein Structure, Secondary , Protein Structure, TertiaryABSTRACT
M-reps (formerly called DSLs) are a multiscale medial means for modeling and rendering 3D solid geometry. They are particularly well suited to model anatomic objects and in particular to capture prior geometric information effectively in deformable models segmentation approaches. The representation is based on figural models, which define objects at coarse scale by a hierarchy of figures - each figure generally a slab representing a solid region and its boundary simultaneously. This paper focuses on the use of single figure models to segment objects of relatively simple structure. A single figure is a sheet of medial atoms, which is interpolated from the model formed by a net, i.e., a mesh or chain, of medial atoms (hence the name m-reps), each atom modeling a solid region via not only a position and a width but also a local figural frame giving figural directions and an object angle between opposing, corresponding positions on the boundary implied by the m-rep. The special capability of an m-rep is to provide spatial and orientational correspondence between an object in two different states of deformation. This ability is central to effective measurement of both geometric typicality and geometry to image match, the two terms of the objective function optimized in segmentation by deformable models. The other ability of m-reps central to effective segmentation is their ability to support segmentation at multiple levels of scale, with successively finer precision. Objects modeled by single figures are segmented first by a similarity transform augmented by object elongation, then by adjustment of each medial atom, and finally by displacing a dense sampling of the m-rep implied boundary. While these models and approaches also exist in 2D, we focus on 3D objects. The segmentation of the kidney from CT and the hippocampus from MRI serve as the major examples in this paper. The accuracy of segmentation as compared to manual, slice-by-slice segmentation is reported.