Refined structure of porcine pepsinogen at 1.8 A resolution

The molecular structure of porcine pepsinogen at 1.8 A resolution has been determined by a combination of molecular replacement and multiple isomorphous phasing techniques. The resulting structure was refined by restrained-parameter least-squares methods. The final R factor [formula: see text] is 0.164 for 32,264 reflections with I greater than or equal to sigma (I) in the resolution range of 8.0 to 1.8 A. The model consists of 2785 protein atoms in 370 residues, a phosphoryl group on Ser68 and 238 ordered water molecules. The resulting molecular stereochemistry is consistent with a well-refined crystal structure with co-ordinate accuracy in the range of 0.10 to 0.15 A for the well-ordered regions of the molecule (B less than 15 A2). For the enzyme portion of the zymogen, the root-mean-square difference in C alpha atom co-ordinates with the refined porcine pepsin structure is 0.90 A (284 common atoms) and with the C alpha atoms of penicillopepsin it is 1.63 A (275 common atoms). The additional 44 N-terminal amino acids of the prosegment (Leu1p to Leu44p, using the letter p after the residue number to distinguish the residues of the prosegment) adopt a relatively compact structure consisting of a long beta-strand followed by two approximately orthogonal alpha-helices and a short 3(10)-helix. Intimate contacts, both electrostatic and hydrophobic interactions, are made with residues in the pepsin active site. The N-terminal beta-strand, Leu1p to Leu6p, forms part of the six-stranded beta-sheet common to the aspartic proteinases. In the zymogen the first 13 residues of pepsin, Ile1 to Glu13, adopt a completely different conformation from that of the mature enzyme. The C alpha atom of Ile1 must move approximately 44 A in going from its position in the inactive zymogen to its observed position in active pepsin. Electrostatic interactions of Lys36pN and hydrogen-bonding interactions of Tyr37pOH, and Tyr90H with the two catalytic aspartate groups, Asp32 and Asp215, prevent substrate access to the active site of the zymogen. We have made a detailed comparison of the mammalian pepsinogen fold with the fungal aspartic proteinase fold of penicillopepsin, used for the molecular replacement solution. A structurally derived alignment of the two sequences is presented.     

Refined structure of dienelactone hydrolase at 1.8 A

The structure of dienelactone hydrolase (DLH) from Pseudomonus sp. B13, after stereochemically restrained least-squares refinement at 1.8 A resolution, is described. The final molecular model of DLH has a conventional R value of 0.150 and includes all but the carboxyl-terminal three residues that are crystallographically disordered. The positions of 279 water molecules are included in the final model. The root-mean-square deviation from ideal bond distances for the model is 0.014 A and the error in atomic co-ordinates is estimated to be 0.15 A. DLH is a monomeric enzyme containing 236 amino acid residues and is a member of the beta-ketoadipate pathway found in bacteria and fungi. DLH is an alpha/beta protein containing seven helices and eight strands of beta-pleated sheet. A single 4-turn 3(10)-helix is seen. The active-site Cys123 residues at the N-terminal end of an alpha-helix that is peculiar in its consisting entirely of hydrophobic residues (except for a C-terminal lysine). The beta-sheet is composed of parallel strands except for strand 2, which gives rise to a short antiparallel region at the N-terminal end of the central beta-sheet. The active-site cysteine residue is part of a triad of residues consisting of Cys123, His202 and Asp171, and is reminiscent of the serine/cysteine proteases. As in papain and actinidin, the active thiol is partially oxidized during X-ray data collection. The positions of both the reduced and the oxidized sulphur are described. The active site geometry suggests that a change in the conformation of the native thiol occurs upon diffusion of substrate into the active site cleft of DLH. This enables nucleophilic attack by the gamma-sulphur to occur on the cyclic ester substrate through a ring-opening reaction.     

The structure of cytochrome c3 from Desulfovibrio vulgaris Miyazaki at 2.5 A resolution

The structure of tetraheme cytochrome c3 isolated from Desulfovibrio vulgaris Miyazaki has been determined at 2.5 A resolution by an X-ray diffraction method. Protein phases were computed by the multiple isomorphous replacement method using the native and four heavy atom derivatives, anomalous scattering measurements of the latter being considered. The mean figure of merit was 0.77. Four heme groups are exposed on the surface of the molecule. There are some short helical segments in the polypeptide chain, and hair-pin turns are often observed at glycine and alanine residues.     

Crystal structure of Azotobacter cytochrome c5 at 2.5 A resolution

The crystal structure of cytochrome c5 from Azotobacter vinelandii has been solved and refined to an R value of 0.29 at 2.5 A resolution. The structure of the oxidized protein was solved using a monoclinic crystal form. The structure was solved by multiple isomorphous replacements, re-fit to a solvent-leveled multiple isomorphous replacement map, and refined by restrained least squares. The structure reveals monomers associated about the crystallographic 2-fold axis by hydrophobic contacts at the "exposed heme edge". The overall conformation for the monomer is similar to that of Pseudomonas aeruginosa cytochrome c551. However, relative to a common heme conformation, c5 and c551 differ by an average of 6.8 A over 82 alpha-carbon positions and the propionates of c5 are much more exposed to solvent. The shortest heme--heme contact at the "dimer" interface is 6.3 A (Fe to Fe 16.4 A). Alignment of c5 and c551 shows that the two cytochromes, in spite of sequence differences, have remarkably similar charge distributions. A disulfide stacks on a tyrosine between the N- and C-terminal helices.     

Refined crystal structure of the complex of subtilisin BPN' and Streptomyces subtilisin inhibitor at 1.8 A resolution

The crystal structure of subtilisin BPN' complexed with a proteinaceous inhibitor SSI (Streptomyces subtilisin inhibitor) was refined at 1.8 A resolution to an R-factor of 0.177 with a root-mean-square deviation from ideal bond lengths of 0.014 A. The work finally established that the SSI-subtilisin complex is a Michaelis complex with a distance between the O gamma of active Ser221 and the carbonyl carbon of the scissile peptide bond being an intermediate value between a covalent bond and a van der Waals' contact, 2.7 A. This feature, as well as the geometry of the catalytic triad and the oxyanion hole, is coincident with that found in other highly refined crystal structures of the complex of subtilisin Novo, subtilisin Carlsberg, bovine trypsin or Streptomyces griseus protease B with their proteinaceous inhibitors. The enzyme-inhibitor beta-sheet interaction is composed of two separate parts: that between the P1-P3 residues of SSI and the 125-127 chain segment (the "S1-3 site") of subtilisin and that between the P4-P6 residues of SSI and th 102-104 chain segment (the "S4-6 site") of subtilisin. The latter beta-interaction is unique to subtilisin. In contrast, the beta-sheet interaction previously found in the complex of subtilisin Novo and chymotrypsin inhibitor 2 or in the complex of subtilisin Carlsberg and Eglin C is distinct from the present complex in that the two types of beta-interactions are not separate. As for the flexibility of the molecules comprising the present complex, the following observations were made by comparing the B-factors for free and complexed SSI and comparing those for free and complexed subtilisin BPN'. The rigidification of the component molecules upon complex formation occurs in a very localized region: in SSI, the "primary" and "secondary" contact regions and the flanking region; in subtilisin BPN', the S1-3 and S4-6 sites and the flanking region.     

Refined structure of glutathione reductase at 1.54 A resolution

The crystal structure of human glutathione reductase has been established at 1.54 A resolution using a restrained least-squares refinement method. Based on 77,690 independent reflections of better than 10 A resolution, a final R-factor of 18.6% was obtained with a model obeying standard geometry within 0.025 A in bond lengths and 2.4 degrees in bond angles. The final 2Fo-Fc electron density map allows for the distinction of carbon, nitrogen and oxygen atoms with temperature factors below about 25 A2. Apart from 461 amino acid residues and the prosthetic group FAD, the model contains 524 solvent molecules, about 118 of which can be considered an integral part of the enzyme. The largest solvent cluster is at the dimer interface and contains 104 interconnected solvent molecules, part of which are organized in a warped sheet-like structure. The main-chain dihedral angles are well-concentrated in the allowed regions of the Ramachandran plot. The spread of dihedral angles in beta-pleated sheets is much larger than in alpha-helices and especially in alpha-helix cores, indicating the higher plasticity of beta-structures. The analysis revealed a large amount of 3(10)-helix. The side-chain conformations cluster at the staggered positions, and show well-defined preferences. Also, a mobility gradient is observed for side-chains. Non-polar and polar side-chains show average temperature factor increases per bond of 10% and 25%, respectively. A number of alternative conformations of internal side-chains, in particular serines and methionines, have been detected. The extended FAD molecule also shows a mobility gradient between the very rigid flavin (mean value of B) = 8.7 A2) and the more mobile adenine (mean value of B = 16.2 A2). The entire active center is particularly well ordered, with temperature factors around 10 A2. The dimer interface consists of a rigid contact area, which is well conserved in the Escherichia coli enzyme, and a flexible area that is not. Altogether, the buried surfaces at the crystal contacts are half as large as at the dimer interface, but less specific. The refined structure shows clearly that there are no buried cations compensating the charge of the pyrophosphate moiety of FAD. The flavin deviates slightly from standard geometry, which is possibly caused by the polypeptide environment. In contrast to an earlier interpretation, atom N5 of the flavin can accommodate a proton, and it is conceivable that this proton proceeds to the redox-active disulfide.(ABSTRACT TRUNCATED AT 400 WORDS)     

Refined crystal structure of carboxypeptidase A at 1.54 A resolution

The crystal structure of bovine carboxypeptidase A (Cox) has been refined at 1.54 A resolution using the restrained least-squares algorithm of Hendrickson & Konnert (1981). The crystallographic R factor (formula; see text) for structure factors calculated from the final model is 0.190. Bond lengths and bond angles in the carboxypeptidase A model have root-mean-square deviations from ideal values of 0.025 A and 3.6 degrees, respectively. Four examples of a reverse turn like structure (the "Asx" turn) requiring an aspartic acid or asparagine residue are observed in this structure. The Asx turn has the same number of atoms as a reverse turn, but only one peptide bond, and the hydrogen bond that closes the turn is between the Asx side-chain CO group and a main-chain NH group. The distributions of CO-N and NH-O hydrogen bond angles in the alpha-helices and beta-sheet structures of carboxypeptidase A are centered about 156 degrees. A total of 192 water molecules per molecule of enzyme are included in the final model. Unlike the hydrogen bonding geometry observed in the secondary structure of the enzyme, the CO-O(wat) hydrogen bond angle is distributed about 131 degrees, indicating the role of the lone pair electrons of the carbonyl oxygen in the hydrogen bond interaction. Twenty four solvent molecules are observed buried within the protein. Several of these waters are organized into hydrogen-bonded chains containing up to five waters. The average temperature factor for atoms in carboxypeptidase A is 8 A2, and varies from 5 A2 in the center of the protein, to over 30 A2 at the surface.     

Conformation change of cytochrome c. I. Ferrocytochrome c structure refined at 1.5 A resolution

Tuna ferrocytochrome c has been crystallographically refined at a resolution of 1.5 Å using the Diamond real-space method followed by Jack-Levitt restrained energy and reciprocal space refinement, monitoring progress continuously with superimposed Fourier and difference Fourier maps: The final R factor for cytochrome plus 53 solvent molecules, using 13,840 reflections with intensities greater than 2 σ, is 17·3%. The overall structure remains as described earlier (Takano et al., 1977), but structural details have been clarified to the point where meaningful comparison can be made with the oxidized molecule (following paper). Main and side-chain flexibility as judged by isotropic temperature parameters correlate with position in the molecule, with greatest flexibility at external chain loops. The haem group is held tightly in place by its attachments and neighbours, and is deformed slightly into a saddle shape. The iron does not deviate significantly from the best mean plane of the haem, and bond lengths to ligands are as expected from model compounds.A water molecule buried in the haem crevice is bonded to Asn52, Tyr67 and Thr78, the latter two being bonded also to Met80 and the outer haem propionate. It is proposed that this buried water molecule is involved in the reduction of ferricytochrome c by chromous ion, and the reactions of Tyr67 with KI₃ and tetranitromethane. Two other buried water molecules occur beneath the 20's loop at the right, and within the 40's loop at the bottom. Reasonable if tentative functional assignments can be made for all 24 of the evolutionarily invariant residues in the cytochrome molecule.     

Refined structure of alpha beta-tubulin at 3.5 A resolution.

We present a refined model of the alpha beta-tubulin dimer to 3.5 A resolution. An improved experimental density for the zinc-induced tubulin sheets was obtained by adding 114 electron diffraction patterns at 40-60 degrees tilt and increasing the completeness of structure factor amplitudes to 84.7 %. The refined structure was obtained using maximum-likelihood including phase information from experimental images, and simulated annealing Cartesian refinement to an R-factor of 23.2 and free R-factor of 29.7. The current model includes residues alpha:2-34, alpha:61-439, beta:2-437, one molecule of GTP, one of GDP, and one of taxol, as well as one magnesium ion at the non-exchangeable nucleotide site, and one putative zinc ion near the M-loop in the alpha-tubulin subunit. The acidic C-terminal tails could not be traced accurately, neither could the N-terminal loop including residues 35-60 in the alpha-subunit. There are no major changes in the overall fold of tubulin with respect to the previous structure, testifying to the quality of the initial experimental phases. The overall geometry of the model is, however, greatly improved, and the position of side-chains, especially those of exposed polar/charged groups, is much better defined. Three short protein sequence frame shifts were detected with respect to the non-refined structure. In light of the new model we discuss details of the tubulin structure such as nucleotide and taxol binding sites, lateral contacts in zinc-sheets, and the significance of the location of highly conserved residues.     

Family of cytochrome c7-type proteins from Geobacter sulfurreducens: structure of one cytochrome c7 at 1.45 A resolution

The structure of a cytochrome c(7) (PpcA) from Geobacter sulfurreducens was determined by X-ray diffraction at 1.45 A resolution; the R factor is 18.2%. The protein contains a three-heme core that is surrounded by 71 amino acid residues. An unusual feature of this cytochrome is that it has 17 lysine residues, but only nine hydrophobic residues that are larger than alanine. The details of the structure are described and compared with those of cytochrome c(7) from Desulfuromonas acetoxidans and with cytochromes c(3). The two cytochrome c(7) molecules have sequences that are 46% identical, but the arrangements of the hemes in the two structures differ; the rms deviation of all alpha-carbons is 2.5 A. These cytochromes can reduce various metal ions. The reduction site of the chromate ion in D. acetoxidans is occupied by a sulfate ion in the crystal structure of PpcA. We identified four additional homologues of cytochrome c(7) in the G. sulfurreducens genome and three polymers of c(7)-type domains. Of the polymers, two have four repeats and one has nine repeats. On the basis of sequence alignments, one of the hemes in each of the cytochrome c(7)-type domains does not have the bis-histidine coordination. The packing of the molecules in the crystal structure of PpcA suggests that the polymers have an elongated conformation and might form a "nanowire".     

Refined structure of spinach glycolate oxidase at 2 A resolution

The amino acid sequence of glycolate oxidase from spinach has been fitted to an electron density map of 2.0 A nominal resolution and the structure has been refined using the restrained parameter least-squares refinement of Hendrickson and Konnert. A final crystallographic R-factor of 18.9% was obtained for 32,888 independent reflections from 5.5 to 2 A resolution. The geometry of the model, consisting of 350 amino acid residues, the cofactor flavin mononucleotide and 298 solvent molecules, is close to ideal with root-mean-square deviations of 0.015 A in bond lengths and 2.6 degrees in bond angles. The expected trimodal distribution with preference for staggered conformation is obtained for the side-chain chi 1-angles. The core of the subunit is built up from the eight beta-strands in the beta/alpha-barrel. This core consists of two hydrophobic layers. One in the center is made up of residues pointing in from the beta-strands towards the barrel axis and the second, consisting of two segments of residues, pointing out from the beta-strands towards the eight alpha-helices of the barrel and pointing from the helices towards the strands. The hydrogen bond pattern for the beta-strands in the beta/alpha-barrel is described. There are a number of residues with 3(10)-helix conformation, in particular there is one left-handed helix. The ordered solvent molecules are organized mainly in clusters. The average isotropic temperature factor is quite high, 27.1 A2, perhaps a reflection of the high solvent content in the crystal. The octameric glycolate oxidase molecule, which has 422 symmetry, makes strong interactions around the 4-fold axis forming a tight tetramer, but only weak interactions between the two tetramers forming the octamer.     

Conformation change of cytochrome c. II. Ferricytochrome c refinement at 1.8 A and comparison with the ferrocytochrome structure

The X chromosomal nucleolus organizer of Drosophila hydei contains about 500 ribosomal RNA genes. The 28 S rRNA coding region of about 50% of these genes is interrupted by an intervening sequence of 6.0 × 10³ base-pairs. Restriction enzyme analysis revealed that more than 90% of the rRNA genes with intervening sequences are present as one or a few clusters within the X chromosomal nucleolus organizer. Furthermore, even though X chromosomal rRNA genes show several distinct size classes of non-transcribed spacers, the cluster of repeating units containing an intervening sequence has major spacer lengths of 4.4 × 10³ and 4.6 × 10³ base-pairs; spacers 5.1 × 10³ base-pairs in length are mainly linked with genes lacking the intervening sequence.     

Tuna cytochrome c at 2.0 A resolution. I.Ferricytochrome structure analysis.

The crystal structure of oxidized cytochrome c from tuna hearts has been solved by x-ray diffraction to a resolution of 2.0 A, using four isomorphous heavy atom derivatives. The crystals, space group P43, have 2 independent cytochrome molecules in the asymmetric repeating unit. No significant difference is seen between these 2 molecules, aside from conformations of a few surface side chains. The molecular folding observed is essentially that reported for tuna ferrocytochrome c. In particular, the ring of phenylalanine 83 lies against the heme group and closes the heme crevice, and is not swung out into the surroundings as had been believed from the 2.8 A horse ferricytochrome c structure.     

Tuna cytochrome c at 2.0 A resolution. II. Ferrocytochrome structure analysis.

The x-ray crystal structure analysis of tuna ferrocytochrome c has been extended from 2.45 to 2.0 A resolution. The overall folding is unchanged and is the same as has been reported for tuna ferricytochrome c (Swanson R., Trus, B.L., Mandel, N., Mandel, G., Kallai, O.B., and Dickerson, R.E. (1977) J. Biol. Chem. 252, 759-755). No significant structural differences are observed between oxidation states. Difference map studies using reoxidized crystals of ferrocytochrome c confirm the absence of a conformation change. A detailed analysis of hydrogen bonding shows the presence of six beta or 310 bends of type II with obligatory glycines in the 3rd residue position. This explains 6 of the 10 nearly invariant glycines in the molecule. Close packing contacts account for three more, and only the invariant glycine 1 remains a mystery.     

Crystal structure of yeast cytochrome c peroxidase refined at 1.7-A resolution

The crystal structure of cytochrome c peroxidase (EC 1.11.1.5) has been refined to an R factor of 0.20 computed for all reflections to 1.7 A. The refined molecular model includes 263 bound water molecules and allows for x-ray scattering by amorphous solvent. The mean positional error in atomic coordinates is estimated to lie between 0.12 and 0.21 A. Two factors are identified which may account for the ability of the enzyme to stabilize high-oxidation states of the heme iron during catalysis: 1) the proximal histidine forms a hydrogen bond with a buried aspartic acid side chain, Asp-235; and 2) the heme environment is more polar than in the cytochromes c or globins, owing to the presence of the partially buried side-chain of Arg-48 and five water molecules bound in close proximity to the heme. Two of these occupy the presumed peroxide-binding site. Two candidates are likely for the side chain that is oxidized to a free radical during formation of Compound I: 1) Trp-51, which rests 3.3 A above the heme plane in close proximity (2.7 A) to the sixth coordination position; and 2) Met-172, which is 3.7 A from the heme. Nucleophilic stabilization of the methionyl cation radical may be possible via Asp-235. His-181 is found to lie coplanar with the heme in a niche between the two propionates near the suspected cytochrome c-binding site. A network of hydrogen bonds involving this histidine may provide a preferred pathway for electron transfer between hemes.     

Cytochrome c3 from Desulfovibrio gigas: crystal structure at 1.8 A resolution and evidence for a specific calcium-binding site.

Crystals of the tetraheme cytochrome c3 from sulfate-reducing bacteria Desulfovibrio gigas (Dg) (MW 13 kDa, 111 residues, four heme groups) were obtained and X-ray diffraction data collected to 1.8 A resolution. The structure was solved by the method of molecular replacement and the resulting model refined to a conventional R-factor of 14.9%. The three-dimensional structure shows many similarities to other known crystal structures of tetraheme c3 cytochromes, but it also shows some remarkable differences. In particular, the location of the aromatic residues around the heme groups, which may play a fundamental role in the electron transfer processes of the molecule, are well conserved in the cases of hemes I, III, and IV. However, heme II has an aromatic environment that is completely different to that found in other related cytochromes c3. Another unusual feature is the presence of a Ca2+ ion coordinated by oxygen atoms supplied by the protein within a loop near the N-terminus. It is speculated that this loop may be stabilized by the presence of this Ca2+ ion, may contribute to heme-redox perturbation, and might even be involved in the specificity of recognition with its redox partner.     

Refined structure of dimeric diphtheria toxin at 2.0 A resolution.

The refined structure of dimeric diphtheria toxin (DT) at 2.0 A resolution, based on 37,727 unique reflections (F > 1 sigma (F)), yields a final R factor of 19.5% with a model obeying standard geometry. The refined model consists of 523 amino acid residues, 1 molecule of the bound dinucleotide inhibitor adenylyl 3'-5' uridine 3' monophosphate (ApUp), and 405 well-ordered water molecules. The 2.0-A refined model reveals that the binding motif for ApUp includes residues in the catalytic and receptor-binding domains and is different from the Rossmann dinucleotide-binding fold. ApUp is bound in part by a long loop (residues 34-52) that crosses the active site. Several residues in the active site were previously identified as NAD-binding residues. Glu 148, previously identified as playing a catalytic role in ADP-ribosylation of elongation factor 2 by DT, is about 5 A from uracil in ApUp. The trigger for insertion of the transmembrane domain of DT into the endosomal membrane at low pH may involve 3 intradomain and 4 interdomain salt bridges that will be weakened at low pH by protonation of their acidic residues. The refined model also reveals that each molecule in dimeric DT has an "open" structure unlike most globular proteins, which we call an open monomer. Two open monomers interact by "domain swapping" to form a compact, globular dimeric DT structure. The possibility that the open monomer resembles a membrane insertion intermediate is discussed.     

Refined structure of porcine cytosolic adenylate kinase at 2.1 A resolution

The crystal structure of porcine cytosolic adenylate kinase has been established at 2.1 A resolution using a restrained least-squares refinement method. Based on 11,251 independent reflections of better than 10 A resolution, a final R-factor of 19.3% was obtained with a model obeying standard geometry within 0.026 A in bond lengths and 3.3 degrees in bond angles. In comparison with the previous structure at 3 A resolution, there is a significant improvement. The high resolution structure has been used to rationalize the strictly conserved residues in the adenylate kinase family. Among these is the glycine-rich loop, which forms a giant anion hole accommodating a sulfate ion which mimics a phosphoryl group of a substrate. Such a structure seems to occur in a large group of mononucleotide binding proteins. Moreover, a conserved cis-proline has been detected in the active center. A structural comparison with the complex between adenylate kinase from yeast and a substrate-analog at medium resolution indicates that this kinase performs appreciable mechanical movements during a catalytic cycle. The reported structure presumably represents an open form of the enzyme, similar to that in solution in the absence of substrates. However, since there are large intermolecular contacts in the crystal, some deviation from the solution structure has to be expected.     

Refined structure of southern bean mosaic virus at 2.9 A resolution

The T = 3 capsid of southern bean mosaic virus is analyzed in detail. The beta-sheets of the beta-barrel folding motif that form the subunits show a high degree of twist, generated by several beta-bulges. Only 34 water molecules were identified in association with the three quasi-equivalent subunits, most of them on the external viral surface. Subunit contacts related by quasi-3-fold axes are similar, are dominated by polar interactions and have almost identical calcium binding sites. There is no metal ion on the quasi-3-fold axis, as previously reported. Subunits related by quasi-2-fold and icosahedral 2-fold axes have different contacts but nevertheless display almost identical interactions between the antiparallel helices alpha A. A dipole-dipole type interaction between these helices may produce an energetically stable hinge that allows two types of dimers in a T = 3 assembly. The temperature factor distribution, the hydrogen-bonding pattern, and the contacts across the icosahedral 2-fold axes suggest that one of the dimer types is present in the intact virion and probably also in solution; the other is produced only during capsid assembly. Interactions along the 5-fold axes are mainly polar and possibly form an ion channel. The beta-sheet structures of the three subunits can be superimposed with considerable precision. Significant relative distortions between quasi-equivalent subunits occur mainly in helices and loops. The two dimeric forms and the subunit distortions are the consequence of the non-equivalent subunit environments in the capsid.