Symmetry types, systems and their multiplicity in the structure of adenovirus capsid. II. Rotational facet groups of five-, three- and two-fold symmetry axes

The icosahedral adenovirus capsid has three rotational symmetry axes of different types. The six five-fold, ten three-fold and the fifteen two-fold axes have two superficial points each, altogether 62. The axes determine the number and location of the identical rotational facet groups and that during the different rotational phases which other regular facets and with what multiplicity shall be covered by them. The number of rotational facets of the five-, three- and two-fold rotational symmetry axes is 4, 6.66 and 10, respectively. In all the three cases, there are two kinds of possible arrangements of the facets. During the rotation--when the facets of the facet group placed on one by one to the neighbouring identical facet groups--at the five-fold axes, the facets of the rotational facet group get into cover position 12 times with all the 20 regular capsid facets, 20 times at the three-fold axes, and 30 times at the two-fold axes in a way that a different facet combination (facet hit) falls to every facet, and the original symmetry is not disturbed. After all, this means 240, 400 and 600 facet combinations, i.e. multiplicity in case of five-, three- and two-fold symmetry axes respectively, and these numbers correspond with that of the theoretically possible variations. The same results can be calculated by multiplying the number of real rotations of the capsid bringing the body into itself, i.e. the number 60 with the number of facets contributing to the five-, three- and two-fold rotational phases. The other way of the determination of multiplicity takes into account that all the facet groups of the capsid rotate simultaneously during all the rotational phases, and this multiplies the number of multiplicity with the number of the rotational types five-, three- and two-fold which result in one and the same multiplicity number in the case of five-, three- and two-fold symmetry, alike 1200. Perpendicular to the five-fold symmetry axes with the line of intersection drawn horizontally in the middle along the 6 geodetic ribbon like motifs a regular decagonal intersection forms and the capsid can be cut into two equal parts, in which the polypeptides show a 72 degree rotation from each other, but with a proper rotation the polypeptides get into a congruent position, which means 300 or 600 specific facet combinations. The capsid similar to the icosahedron has also 15 virtual mirror planes which divide the capsid into two, identically arranged halves, forming six right angle triangles on each facet, altogether 120 smaller rectangular so-called Mobius-triangles on the surface. In the three-fold symmetry axis of the facets, these triangles in two separate groups of three can be rotated symmetrically with 120 degrees according to the orientation of the polypeptide subunits in a way that the hexon and other polypeptides too nearly cover each other. Consequently, the adenovirus capsid is a symmetrically arranged body in which several various symmetry types and symmetry systems can be found and their structural symmetry elements exist simultaneously and covering each other. The icosahedral symmetry types and systems are valid and functional simultaneously and in parallel with great multiplicity, but the existence of more than 1500 structural elements in several depth levels, their order of location and distribution make the symmetry of the capsid richer and more complex.     

Electron microscopy of the Mo-Fe-protein from Azotobacter vinelandii nitrogenase

The quaternary structure of the Mo-Fe-protein from Azotobacter vinelandii has been studied by electron microscopy. A model of the molecule of the Mo-Fe-protein has been proposed: two alpha subunits are displaced relative to two beta subunits along a twofold axis, so the molecule can be characterized by the point-group pseudosymmetry 222. Computer averaging of the images showed that one of the projections of the molecule could be characterized by twofold rotational symmetry. Micrographs of nitrogenase recombined complex (Mo-Fe-protein + Fe-protein) have been obtained. They showed particles close in size and form to the Mo-Fe-protein molecule. Therefore, it has been proposed that the Fe-protein could be situated in the central cavity of Mo-Fe-protein.     

The shape of L-arabinose isomerase from Escherichia coli.

L-Arabinose isomerase, EC 5.3.1.4, catalyzes the conversion of L-arabinose to L-ribulose, the first step in the catabolism of L-arabinose by Escherichia coli B/r. Patrick and Lee (1969) J. Biol. Chem. 244, 4277--4283) demonstrated that native L-arabinose isomerase is composed of six identical subunits of approximately Mr = 60,000. In this paper we describe an electron microscopy study of the arrangement of the six identical subunits. The isomerase is seen in two distinctly different orientations. The first has three subunits visible, with a 3-fold axis of symmetry, corresponding to a face-on view of two stacked, eclipsed trimers. The second orientation is rectangular in shape with 2-fold symmetry; suggesting a side-on view of the stacked trimers. The six identical subunits are thus arranged with D3 symmetry as in a trigonal prism. Measurements were made on the maximum profile of the three 2-fold axes of symmetry of the face-on orientations, and of both the long and short dimensions of the side-on orientation. The best estimate for the maximum profile of the 2-fold axes of symmetry of the face-on view is 106 +/- 8 A, using glutamine synthetase as an internal size standard. Measurements from micrographs of the isomerase alone, using an external magnification calibration, give the following results: for the maximum profile of the three 2-fold axes of symmetry of the face-on view, 132 +/- 7 A; for the long axis of the side-on view, 136 +/- 10 A; and for the short axis, 105 +/- 6 A. These measurements are consisting with the interpretation of the profiles as representing two different orientations of the L-arabinose isomerase.     

Tilt aftereffects generated by symmetrical dot patterns with two or four axes of symmetry

This paper follows from studies by Joung, van der Zwan and Latimer (2000) in which symmetrical dot patterns with one axis of symmetry were used to produce tilt aftereffects (TAEs). The present paper investigates TAE functions produced by symmetrical dot patterns with multiple axes of symmetry. In Experiments 1 and 2, TAE functions produced by dot patterns with two axes of symmetry were compared with TAE functions produced by line stimuli arranged in the same orientation and location as the axes of symmetry in the dot patterns. Similar functions were found. In Experiments 3 and 4, functions produced by dot patterns with four axes of symmetry were compared with functions produced by line stimuli arranged in the same orientation and location as the four axes of symmetry. Again, similar functions were found. These experiments demonstrate that line stimuli and dot stimuli produce similar TAE functions. The implications of these results are discussed.     

Dissociation of the Octameric Enolase from S. Pyogenes - One Interface Stabilizes Another

Most enolases are homodimers. There are a few that are octamers, with the eight subunits arranged as a tetramer of dimers. These dimers have the same basic fold and same subunit interactions as are found in the dimeric enolases. The dissociation of the octameric enolase from S. pyogenes was examined, using NaClO₄, a weak chaotrope, to perturb the quaternary structure. Dissociation was monitored by sedimentation velocity. NaClO₄ dissociated the octamer into inactive monomers. There was no indication that dissociation of the octamer into monomers proceeded via formation of significant amounts of dimer or any other intermediate species. Two mutations at the dimer-dimer interface, F137L and E363G, were introduced in order to destabilize the octameric structure. The double mutant was more easily dissociated than was the wild type. Dissociation could also be produced by other salts, including tetramethylammonium chloride (TMACl) or by increasing pH. In all cases, no significant amounts of dimers or other intermediates were formed. Weakening one interface in this protein weakened the other interface as well. Although enolases from most organisms are dimers, the dimeric form of the S. pyogenes enzyme appears to be unstable.     

Quaternary structure of apoferritin: the rotation function at 9 A resolution

The rotation function has been calculated for apoferritin using data at 9 Å resolution obtained from cubic crystals, space group F432, and compared with rotation functions of possible alternative model structures consisting of (a) 24 subunits at the vertices of a snub-cube (octahedral symmetry) and (b) 20 subunits at the vertices of a pentagonal dodecahedron (icosahedral symmetry). The apoferritin rotation function, like that of the 24 subunit model, had large peaks only on the crystallographic rotation axes. The 20 subunit model gave peaks on non-crystallographic axes, which were not observed with apoferritin. It is concluded that apoferritin molecules consist of 24 subunits arranged in 432 (octahedral) symmetry as suggested by the space group.     

High order quaternary arrangement confers increased structural stability to Brucella sp. lumazine synthase

The penultimate step in the pathway of riboflavin biosynthesis is catalyzed by the enzyme lumazine synthase (LS). One of the most distinctive characteristics of this enzyme is the structural quaternary divergence found in different species. The protein exists as pentameric and icosahedral forms, built from practically the same structural monomeric unit. The pentameric structure is formed by five 18-kDa monomers, each extensively contacting neighboring monomers. The icosahedrical structure consists of 60 LS monomers arranged as 12 pentamers giving rise to a capsid exhibiting icosahedral 532 symmetry. In all lumazine synthases studied, the topologically equivalent active sites are located at the interfaces between adjacent subunits in the pentameric modules. The Brucella sp. lumazine synthase (BLS) sequence clearly diverges from pentameric and icosahedric enzymes. This unusual divergence prompted us to further investigate its quaternary arrangement. In the present work, we demonstrate by means of solution light scattering and x-ray structural analyses that BLS assembles as a very stable dimer of pentamers, representing a third category of quaternary assembly for lumazine synthases. We also describe by spectroscopic studies the thermodynamic stability of this oligomeric protein and postulate a mechanism for dissociation/unfolding of this macromolecular assembly. The higher molecular order of BLS increases its stability 20 degrees C compared with pentameric lumazine synthases. The decameric arrangement described in this work highlights the importance of quaternary interactions in the stabilization of proteins.     

Preliminary crystallographic data and quaternary structural implications of the central subunit of the multi-subunit complex transcarboxylase

The hexameric central subunit (Mr = 360,000) of the multi-subunit complex transcarboxylase has been crystallized by bulk dialysis against 250 mM-sodium acetate (pH 5.5). The crystals are cubic, a = 193.1 A, space group P4(1)32 or enantiomorph. The number of molecules per unit cell is four and was deduced from the density of the crystals (1.10 g cm-3) and the mother liquor (1.01 g cm-3) and the specific volume of the protein calculated from molecular dimensions obtained from electron microscopy studies. Four molecules per cell requires the central subunits to lie on 3-fold axes, which are perpendicular to 2-fold rotation axes, so that the molecules satisfy 32 symmetry giving one subunit as the asymmetric unit. Of the four possible models that have been considered for the quaternary structure of transcarboxylase, only that with antiparallel subunits, two sets of isologous binding sites and D3 symmetry is in agreement with the symmetry requirements of the cubic crystals.     

pH-controlled quaternary states of hexameric DnaB helicase

DnaB is the major helicase in the Escherichia coli replisome. It is a homohexameric enzyme that interacts with many other replisomal proteins and cofactors. It is usually loaded onto a single strand of DNA at origins of replication from its complex with its loading partner DnaC, then translocates in the 5' to 3' direction, unwinding duplex DNA in an NTP-driven process. Quaternary polymorphism has been described for the DnaB oligomer, a feature it has in common with some other hexameric helicases. In the present work, electron microscopy and in- depth rotational analysis studies of negatively stained specimens has allowed the establishment of conditions that govern the transition between the two different rotational symmetry states (C(3) and C(6)) of DnaB. It is shown: (a) that the pH value of the sample buffer, within the physiological range, dictates the quaternary organisation of the DnaB oligomer; (b) that the pH-induced transition is fully reversible; (c) that the type of adenine nucleotide complexed to DnaB, whether hydrolysable or not, does not affect its quaternary architecture; (d) that the DnaB.DnaC complex exists only as particles with C(3) symmetry; and (e) that DnaC interacts only with DnaB particles that have C(3) symmetry. Structural consequences of this quaternary polymorphism, as well as its functional implications for helicase activity, are discussed.     

Controlling quaternary structure assembly: subunit interface engineering and crystal structure of dual chain avidin

Dual chain avidin (dcAvd) is an engineered avidin form, in which two circularly permuted chicken avidin monomers are fused into one polypeptide chain. DcAvd can theoretically form two different pseudotetrameric quaternary assemblies because of symmetry at the monomer-monomer interfaces. Here, our aim was to control the assembly of the quaternary structure of dcAvd. We introduced the mutation I117C into one of the circularly permuted domains of dcAvd and scanned residues along the 1-3 subunit interface of the other domain. Interestingly, V115H resulted in a single, disulfide locked quaternary assembly of dcAvd, whereas I117H could not guide the oligomerisation process even though it stabilised the protein. The modified dcAvd forms were found to retain their characteristic pseudotetrameric state both at high and low pH, and were shown to bind D-biotin at levels comparable to that of wild-type chicken avidin. The crystal structure of dcAvd-biotin complex at 1.95 Angstroms resolution demonstrates the formation of the functional dcAvd pseudotetramer at the atomic level and reveals the molecular basis for its special properties. Altogether, our data facilitate further engineering of the biotechnologically valuable dcAvd scaffold and gives insights into how to guide the quaternary structure assembly of oligomeric proteins.     

A large particle associated with the perimeter of the nuclear pore complex

The three-dimensional structure of the nuclear pore complex has been determined to a resolution of approximately 90 A by electron microscopy using nuclear envelopes from Xenopus oocytes. It is shown to be an assembly of several discrete constituents arranged with octagonal symmetry about a central axis. There are apparent twofold axes perpendicular to the octad axis which suggest that the framework of the pore complex is constructed from two equal but oppositely facing halves. The half facing the cytoplasm is in some instances decorated by large particles, similar in appearance and size to ribosomes.     

EM single particle analysis of the ATP-dependent BchI complex of magnesium chelatase: an AAA+ hexamer

BchI, belonging to the AAA+ -protein family, forms the enzyme magnesium chelatase together with BchD and BchH. This enzyme catalyses the insertion of Mg2+ into protoporphyrin IX upon ATP hydrolysis. Previous studies have indicated that BchI forms ATP-dependent complexes and it is a member of the AAA+ -protein family (ATPases associated with various cellular activities) and it was suggested based on structural homology that the BchI formed hexameric complexes. AAA+ -proteins are Mg2+ -dependent ATPases that normally form oligomeric ring complexes in the presence of ATP. Single particle analysis of fully formed ring complexes of BchI observed by negative staining EM indicate that the BchI has strong 6- and 2-fold rotational symmetries and a weaker 4-fold rotational symmetry which are reminiscent of DNA helicase. A 2D average of the fully formed BchI-ATP ring complex is presented here from images of the complex obtained from negative staining EM. Other complexes are also observed in the EM micrographs and the class averages of these are indicative of the fragility and dynamic nature of the BchI complex which has been reported and they are suggestive of partially circular complexes with six or less protomers per particle. The resolution of the average circular complex is estimated at approximately 30A and it is similar in shape and size to an atomic resolution hexameric model of BchI rendered at 30A.     

Serine acetyltransferase from Escherichia coli is a dimer of trimers

Equilibrium sedimentation studies show that the serine acetyltransferase (SAT) of Escherichia coli is a hexamer. The results of velocity sedimentation and quasi-elastic light scattering experiments suggest that the identical subunits are loosely packed and/or arranged in an ellipsoidal fashion. Chemical cross-linking studies indicate that the fundamental unit of quaternary structure is a trimer. The likelihood, therefore, is that in solution SAT exists as an open arrangement of paired trimers. Crystals of SAT have 32 symmetry, consistent with such an arrangement, and the cell density function is that expected for a hexamer. Electron microscopy with negative staining provides further evidence that SAT has an ellipsoidal subunit organization, the dimensions of the particles consistent with the proposed paired trimeric subunit arrangement. A bead model analysis supports the view that SAT has a low packing density and, furthermore, indicates that the monomers may have an ellipsoidal shape. Such a view is in keeping with the ellipsoidal subunit shape of trimeric LpxA, an acyltransferase with which SAT shares contiguous repeats of a hexapeptide motif.     

The molecular shape of dopamine beta-hydroxylase from chromaffin granules of bovine adrenal medulla

The structural features of the soluble dopamine beta-hydroxylase from chromaffin granules of bovine adrenal medulla were studied using negative staining and platinum shadowing electron microscopic methods. The enzyme was shown to be highly asymmetric as suggested in earlier hydrodynamic studies. The tetramer of the enzyme appeared as four subunits arranged in the shape of a planar rose with an estimated width of 15 nm. A minimum thickness of 3.0 nm for the enzyme monomer was calculated from the shadow length of unidirectionally shadowed molecules. A model composed of four oblate ellipsoid monomers in a tetrameric rose arrangement is proposed for the shape of the dopamine beta-hydroxylase molecule. Two monomers associate edge to edge to form an in-plane dimer and two dimers associate side-by-side with their respective long axes at a slight angle to form a tetramer. Theoretical calculations based on the model are consistent with previous hydrodynamic studies.     

Symmetry, homology, and phrasing in the recognition of helical regulatory sequences in DNA.

Regulatory regions in DNA which have been sequenced have generally been found to contain one or more axes of two-fold rotational symmetry. If this symmetry is to be maintained in the helical sequence, the axis of rotation must be aligned with one of the two dyad axes of the helix. This is equivalent to saying that the rotational symmetry of the sequence can only be seen from certain viewing points in a circuit about the helix. More surprising is the fact that new symmetrical sequence arrangements can be seen at +/- 36 degrees, +/- 72 degrees, +/- 108 degrees, and +/- 144 degrees relative to the point at which the rotational symmetry is seen. This "amplification" of symmetry suggests a three-dimensional approach to sequence analysis. A specific reading frame, suggested by the geometry of the helix, is examined with regard to its elucidation of intra- and inter-sequence homologies. Two sequences are thus identified as being recurrent in a number of different regulatory sequences.     

The DnaB.DnaC complex: a structure based on dimers assembled around an occluded channel

Replicative helicases are motor proteins that unwind DNA at replication forks. Escherichia coli DnaB is the best characterized member of this family of enzymes. We present the 26 A resolution three-dimensional structure of the DnaB hexamer in complex with its loading partner, DnaC, obtained from cryo-electron microscopy. Analysis of the volume brings insight into the elaborate way the two proteins interact, and provides a structural basis for control of the symmetry state and inactivation of the helicase by DnaC. The complex is arranged on the basis of interactions among DnaC and DnaB dimers. DnaC monomers are observed for the first time to arrange as three dumb-bell-shaped dimers that interlock into one of the faces of the helicase. This could be responsible for the freezing of DnaB in a C(3) architecture by its loading partner. The central channel of the helicase is almost occluded near the end opposite to DnaC, such that even single-stranded DNA could not pass through. We propose that the DnaB N-terminal domain is located at this face.     

A dissection of specific and non-specific protein-protein interfaces

We compare the geometric and physical-chemical properties of interfaces involved in specific and non-specific protein-protein interactions in crystal structures reported in the Protein Data Bank. Specific interactions are illustrated by 70 protein-protein complexes and by subunit contacts in 122 homodimeric proteins; non-specific interactions are illustrated by 188 pairs of monomeric proteins making crystal-packing contacts selected to bury more than 800 A2 of protein surface. A majority of these pairs have 2-fold symmetry and form "crystal dimers" that cannot be distinguished from real dimers on the basis of the interface size or symmetry. The chemical and amino acid compositions of the large crystal-packing interfaces resemble the protein solvent-accessible surface. These interfaces are less hydrophobic than in homodimers and contain much fewer fully buried atoms. We develop a residue propensity score and a hydrophobic interaction score to assess preferences seen in the chemical and amino acid compositions of the different types of interfaces, and we derive indexes to evaluate the atomic packing, which we find to be less compact at non-specific than at specific interfaces. We test the capacity of these parameters to identify homodimeric proteins in crystal structures, and show that a simple combination of the non-polar interface area and the fraction of buried interface atoms assigns the quaternary structure of 88% of the homodimers and 77% of the monomers in our data set correctly. These success rates increase to 93-95% when the residue propensity score of the interfaces is taken into consideration.     

Quaternary structure of uridine phosphorylase from E. coli K-12]

Uridine phosphorylase was isolated from E. coli K-12 cells in a homogeneous state. The molecular mass of the enzyme as determined by gel filtration corresponds, approximately, to a hexamer made up of 27.5 kDa monomers. Evidence for the hexameric structure of uridine phosphorylase was obtained by electron microscopy with numerical treatment of the images. The six monomers within the enzyme molecule are arranged in two layers, three monomers in each, at the apices of a triangular antiprism with a point group symmetry of 32.     

Crystal structures of Cratylia floribunda seed lectin at acidic and basic pHs. Insights into the structural basis of the pH-dependent dimer-tetramer transition

Structural determinants underlaying the pH-dependent dimer-tetramer transition of Diocleinae lectins were investigated from the structures of Cratylia floribunda seed lectin crystallized in conditions where it exist as a dimer (pH 4.6) or as a tetramer (pH 8.5). The acidic (aCFL) and the basic (bCFL) tetramers superimpose with overall r.m.s.d. of 0.53 A, though interdimer contacts are drastically reduced in aCFL, and the r.m.s.d. for the superposition of the 117-120 loops of aCFL vs. the bCFL tetramer is 1.29 A. Our data support the view that His51 plays a role in determining the conformation of the central cavity loops and that interdimer contacts involving ordered loop residues stabilize the canonical, pH-dependent tetramer. In the bCFL tetramer, hydrogen bonds between Asn118 and Thr120 of monomers A and D and residues Ser66, Ser108, Ser110, and Thr49 of the opposite monomer stabilize the canonical, pH-dependent tetrameric lectin structure. In CFL, Asn131 makes intradimer contacts with Asn122 and Ala123. In comparison, His131 in Dioclea grandiflora lectin establishes a network of interdimer interactions bridging the four central loops of the pH-independent tetramer. Our data provide new insights into the participation of specific amino acid residues in the mechanism of the quaternary association of Diocleinae lectins.