Domain structure of cellobiohydrolase II as studied by small angle X-ray scattering: close resemblance to cellobiohydrolase I

Evidence for a domain structure of cellobiohydrolase II (CBH II, 58 kDa) from Trichoderma reesei (Teeri et al., 1987; Tomme et al., 1988) is corroborated by results from SAXS experiments. They indicate a 'tadpole' structure for the intact CBH II in solution (Dmax = 21.5 +/- 0.5 nm; Rg = 5.4 +/- 0.1 nm) and a more isotropic, ellipsoid shape for the core protein (Dmax = 6.0 +/- 0.3 nm; Rg = 2.1 +/- 0.1 nm). The latter was obtained by partial proteolysis with papain which cleaves the native CBH II to give two fragments (Tomme et al., 1988): the core (45 kDa) with the active (hydrolytic) domain and a smaller fragment (11 kDa) coinciding with the tail part of the model and containing the binding domain for unsoluble cellulose. This peptide fragment is conserved in most cellulolytic enzymes from Trichoderma reesei (Teeri et al., 1987). It contains a conserved region (block A) and glycosylated parts (blocks B and B' duplicated and located N-terminally in CBH II). In spite of different domain arrangements in CBH I (blocks B-A at C-terminals) SAXS measurements (Abuja et al., 1988) indicate similar tertiary structures for both cellobiohydrolases although discrete differences in the tail parts exist.     

Structural and functional domains of cellobiohydrolase I from trichoderma reesei

Limited proteolysis (papain) of the cellobiohydrolase I (CBH I, 65 kDa) from Trichoderma reesei led to the seperation of two functional domains: a core protein (55 kDa) containing the active site, and a C-terminal glycopeptide (10 kDa) implicated in binding to the insoluble matrix (cellulose). The quaternary structures of the intact CBH I and its core in solution are now compared by small angle X-ray scattering (SAXS) measurements. The molecular parameters derived for the core (Rg=2.09 nm, D_max=6.5 nm) and for the intact enzyme (Rg=4.27 nm, D_max=18 nm) indicate very different shapes. The resulting models show a tadpole-like structure for the intact enzyme where the isotropic part coincides with the core protein and the flexible tail part should be identified with the C-terminal glycopeptide. Thus in this enzyme, functional differentiation is reflected in structural peculiarities.Abbreviations SAXS small angle X-ray scattering - SDS-PAGE SDS-polyacrylamide gel electrophoresis - IEF-PAG polyacrylamide gel isoelectric focusing; cellobiohydrolase (CBH, 1,4--glucan cellobio hydrolase (E.C.3.2.1.91)) - D_max maximum diameter - Rg radius of gyration     

Small angle x-ray scattering studies on adenovirus type 2 hexon

Adenovirus type 2 hexons have been studied in solution by small angle X-ray scattering, and the following molecular parameters determined: radius of gyration (Rg) = 4.9 nm, molecular weight (M) = 310.000, invariant volume (Vinv) = 630 mn3, maximal distance (Dmax) = 14.5--15.5 nm. A diffraction pattern was obtained up to an angular increment of h = 2.5 nm-1. Various models for the hexon have been explored by calculating the diffraction pattern from the Debye formula for 1200 spheres arranged to define the scattering volume of each model. Models were first built according to electron micrographic results. Later, preliminary results of a crystallographic study were used for model building. The experimental pattern and the pattern resulting from the model determined by crystallographic methods were compared and showed good agreement.     

X-ray scattering study of hagfish protease inhibitor, a protein structurally related to complement and alpha 2-macroglobulin.

A protease inhibitor from hagfish blood plasma, homologous to human alpha 2-macroglobulin, has been studied in solution using small-angle X-ray scattering; the radius of gyration, R, was found to be 7.0 nm, the molecular weight 340,000 +/- 20,000, and the largest distance within the molecule, Dmax, 22 nm. When the inhibitor reacts with chymotrypsin, its 1:1 chymotrypsin complex is found to be more compact than the native molecule, R = 6.1 nm. A very similar conformational change is observed after the protein is reacted with methylamine. The data are consistent with models consisting of two equal elliptic cylinders with the same size as the one used as a model for the complement proteins C3 and C4 [cf. Osterberg et al. (1989) Eur. J. Biochem. 183, 507-511]. In the model for the native protein, these cylinders are arranged in an extended form, and in the one for the methylamine derivative (or chymotrypsin complex), they are closer together so that the projection of their elliptic surfaces forms an angle of about 70 degrees. These models for the hagfish protease inhibitor were expanded to models for the twice as large human alpha 2-macroglobulin using symmetry operations, and the resulting alpha 2-macroglobulin models were found to agree with those emerged from earlier studies involving electron microscopy and X-ray scattering methods.     

Structural and conformational analysis of scorpion (Buthus sindicus) hemocyanin using low resolution techniques

Blue oxygen binding protein hemocyanin from scorpion Buthus sindicus has been investigated using low resolution techniques. The native protein is a polymer of eight different types of subunits arranged in four cubic hexameric form (4x6-mers) as previously annotated using a combination of various types of chromatographic and electrophoretic techniques. In addition, both "top face" as well as the "side view" of the native assembly has also been identified from the negatively stained specimens using transmission electron microscopy confirming the overall structural features of arthropodan hemocyanins. These results are also supported from data obtained from another low resolution technique i.e. Small Angle X-ray scattering (SAXS). SAXS results under oxygenated and deoxygenated states represent a validation case for this technique with key conformational changes of Rg 88.0 --> 86.0 A; +/- 1% (Dmax 280.0 --> 290.0 A; +/- 2%), respectively suggesting that the oxygenated hemocyanin is longer then the deoxygenated hemocyanin by almost 2 A;. Likewise, active conformations of the purified structural and functional subunit Bsin1 under oxygenated and deoxygenated states also determined by SAXS measurements revealed a Rg value of 25.2 --> 25.7 A; +/- 1% (Dmax 75.0 --> 75.5 A; +/- 2%), respectively suggesting very little or no contribution of the individual subunit in the overall conformational change in the native assembly during molecular breathing. Preliminary molecular shapes for the oxy-molecules, calculated directly from the scattering profile-alone in a model-independent procedure, superimpose well on other closely related known three-dimensional structures of the same size. Structural and functional aspects of the native as well as purified subunit and the application of these low resolution techniques like transmission electron microscopy and Small Angle X-ray scattering have been discussed.     

Conformation of human IgG subclasses in solution. Small-angle X-ray scattering and hydrodynamic studies

The structure of six human myeloma proteins: IgG1(Bal), IgG2(Klu), IgG3(Bak), IgG3(Het), IgG4(Kov) and IgG4(Pol), was studied in solution using small-angle X-ray scattering and hydrodynamic methods. For IgG1(Bal) and IgG3(Het) the experimental data, including radius of gyration (Rg degree), radii of gyration of the cross-section (Rq1, Rq2), intrinsic viscosity [eta], sedimentation coefficient (S degree 20,w) and molecular mass, were interpreted in terms of structural models based on the Fab and Fc conformations, observed in crystal, by varying the relative positions of the Fab and Fc parts, i.e. their relative angles and distances. The values Rg degree = (6.00 +/- 0.05) nm, S degree 20,w = (6.81 +/- 0.10) S and [eta] = 0.0062 +/- 0.0005 cm3/mg obtained for IgG1(Bal) are compatible with a planar model in which the angle between the Fab arms is about 120 degrees. For IgG3(Het) the following data were obtained: Rg degree = (4.90 +/- 0.05) nm, S degree 20,w = (6.32 +/- 0.01) S and [eta] = (0.0065 +/- 0.0005) cm3/mg. The apparent contradiction between the higher molecular mass and lower Rg degree and S degree 20,w values for IgG3(Het) in comparison to IgG1(Bal) can be resolved by proposing a 'non-planar' (tetrahedral) molecular shape, in which the long hinge peptide is in a folded conformation and the two Fab and Fc parts are in a closely packed arrangement. In this model the angle between the two Fab arms is about 90 degrees, in the average position. The X-ray scattering and hydrodynamic behaviour of the IgG2 and IgG4 types of antibodies appeared to be similar to IgG1(Bal). The parameters of the two IgG3 proteins are similar while they are different to the others.     

Small angle x-ray study on the structure of active and inactive ribulose bisphosphate carboxylase from Alcaligenes eutrophus. Evidence for a configurational change

Two small angle x-ray scattering curves have been obtained from active and inactive ribulose 1,5-bisphosphate carboxylase from Alcaligenes eutrophus. The radius of gyration was calculated to be R = 47.8 +/- 0.1 nm for the active enzyme and R = 49.2 +/- 0.1 nm for the inactive enzyme. The maximum particle dimension amounts to 13.5 +/- 0.5 nm for the active and 15.7 +/- 0.5 nm for the inactive enzyme. A model of the active carboxylase is presented. It is in good agreement with models derived from electron microscopical data. Model calculations for the inactive enzyme show some evidence for a configurational change.     

On the distribution and packing of RNA and protein ribosomes.

From the analysis of the measured radii of gyration of the RNA (Rg = 6.6 +/- 0.3 nm) and protein (Rg = 10.2 +/- 0.5 nm) components of the 50-S subparticle of Escherichia coli ribosomes it is concluded that proteins containing a large amount of hydrodynamically bound water are located on the periphery of the tightly packed RNA. We found that the common features of the measured X-ray scattering curves of the E. coli 70-S ribosome, its 30-S and 50-S subparticles and wheat 80-S ribosomes in the region of scattering angles corresponding to scattering vectors mu from 1 to 5 nm-1 reflect features of the RNA compact packing. A hypothesis is proposed that the compact packing of RNA helices in the range of Bragg distances of 4.5--2.0 nm is a general structural feature of all ribosomal particles.     

X-ray scattering by single-headed heavy meromyosin. Cleavage of the myosin head from the rod does not change its shape

Low angle X-ray scattering from heavy meromyosin (HMM) and from single-headed heavy meromyosin (sHMM) have been examined to determine if the heads of myosin change shape when cleaved from the rod to form subfragment 1 (S1). The scattering intensities of intact HMM and sHMM were compared with those of their chymotryptic digestion products, S1 and subfragment 2 (S2). As the data with HMM were complicated by scattering between the two heads, the more extensive analysis was done with sHMM. Pseudo-Guinier plots of intact and digested sHMM, over the angular range used previously for S1, were linear and showed a difference in apparent radius of gyration (Rg) of only 0.07 +/- 0.04 nm. The absolute apparent Rg value of sHMM was 3.2 +/- 0.2 nm, which is comparable to the radius of gyration reported previously for S1 alone. A plot of the fractional differences in scattering intensities of intact and digested sHMM was flat to a reciprocal spacing of at least 1/3.5 nm-1. These results indicate that the head portions of sHMM and S1 have very similar structures at low resolution. Scattering curves for various models of sHMM and mixtures of S1 and S2 were calculated and the fractional difference plots of scattering intensities were made to determine how sensitive this type of analysis is to changes in the shape of the head. Changes in Rg of 0.1 nm or greater gave detectably non-flat difference plots. Thus, the X-ray scattering of sHMM (and HMM) demonstrated that differences in structure between the head of myosin and isolated S1 are likely to be small. Current controversies over myosin head structure are discussed in light of this result.     

Small angle neutron scattering studies of C8 and C9 and their interactions in solution.

Small angle neutron scattering (SANS) results revealed that contrary to most reports C9 is not a globular protein. Its radius of gyration (Rg) at pH 8 and an ionic strength of 0.5 is 32.2 +/- 1.4 A increasing to 35 A at physiologic ionic strength. In contrast, C8, which has a 2.2-fold larger mass, has a similar Rg value [34.6 +/- 1.6 A]. Calibration plots of Rg vs. M(r) indicate that native C8 is a spherical protein whereas native C9 is elongated. From previous reports it was known that native C8 and C9 associate in solutions of low ionic strength. SANS results confirmed this observation but also demonstrated that C8-C9 heterodimers are already formed at physiologic ionic strength. The dimeric complex is globular [Rg = 40 +/- 0.8 A] indicating that the proteins associate side-by-side rather than end-to-end. In contrast, in presence of the drug Suramin, a potent inhibitor of the assembly of the C5b-9 complex, C9 forms a complex with twice the molecular mass that is still elongated (Rg = 48.8 +/- 0.8 A), suggesting that in this case the protein dimerizes end-to-end via a bridging Suramin molecule.     

Neutron scattering study of the (gamma-B) catalytic domains of complement proteases activated C1r and C1s

The catalytic domains of activated C1r and C1s, comprising the C-terminal region of the A chain (gamma), disulphide-linked to the B chain, were obtained by limited proteolysis of the native proteases with chymotrypsin and plasmin, respectively, and studied by small angle neutron scattering. For activated C1s (gamma-B), a molar mass of 45,000 +/- 5000 g/mol, and a relatively large radius of gyration (Rg) of 28 +/- 1 A were determined, excluding a single globular domain. The corresponding values for activated C1r (gamma-B)2 (90,000 g/mol, Rg = 34 +/- 1 A) are consistent with a dimer involving the loose packing of two (gamma-B) subunits. Various models of the dimer are discussed in the light of neutron scattering and other data.     

Small-angle X-ray scattering on malate synthase from baker's yeast. The native substrate-free enzyme and enzyme-substrate complexes.

Malate synthase from baker's yeast has been investigated in solution by the small-angle X-ray scattering technique. Size, shape and structure of the native substrate-free enzyme and of various enzyme-substrate complexes have been determined. As the enzyme was found to be rather unstable against X-rays, several precautions as well as sophisticated evaluation procedures had to be adopted to make sure that the results were not influenced by radiation damage. These included use of low primary intensity, short time of measurement, the presence of high concentrations of dithiothreitol, combined use of the conventional slit-collimation system and the new cone-collimation system. 1. For the native substrate-free enzyme the following molecular parameters could be established: radius of gyration R = 3.96 +/- 0.02 nm, maximum particle diameter D = 11.2 +/- 0.6 nm, radius of gyration of the thickness Rt = 1.04 +/- 0.04 nm, molecular weight Mr = 187000 +/- 3000, correlation volume Vc = 338 +/- 5 nm3, hydration x = 0.35 +/- 0.02 g/g, mean intersection length - l = 5.0 +/- 0.2 nm. Comparison of the experimental scattering curve with theoretical curves for various models showed that the enzyme is equivalent in scattering to an oblate ellipsoid of revolution rather than to a circular cylinder. The semiaxes of this ellipsoid are a = b = 6.06 nm and c = 2.21 nm. Thus with an axial ratio of about 1:0.36 the enzyme is of very anisometric shape. 2. Binding of the substrates (acetyl-CoA, glyoxylate) or the substrate analogue pyruvate causes slight structural changes of the enzyme. These changes are reflected mainly by a slight decrease of the radius of gyration (0.3--1.3%, as established both with the slit-smeared and the desmeared curves). Concomitantly there occurs a decrease of the maximum particle diameter and an increase of the radius of gyration of the thickness. These changes imply an increase of the axial ratio by 2.2--6.9%, i.e. substrate binding induces a decrease of anisometry. While the particle volume appears to be unchanged on binding glyoxylate or its analogue pyruvate, binding of acetyl-CoA causes slight changes of this parameter. In a similar manner the binding of acetyl-CoA leads to a slight enhancement of the molecular weight; this increase corresponds to the binding of 2.7 +/- 1 molecules of acetyl-CoA.     

Molecular characterisation of soybean polysaccharides: an approach by size exclusion chromatography, dynamic and static light scattering methods

Water soluble polysaccharides from soybean (SSPS) have a pectin-like structure and are used as stabilisers in acidified beverages. Physicochemical properties such as structure, molecular weight and shape or conformation are primary factors controlling their functional properties. Two soybean polysaccharides, a native SSPS and a modified SSPS treated with beta-(1-->4)-D-galactosidase (GPase/SSPS) were studied by dynamic and static light scattering (DLS, SLS) and size exclusion chromatography (SEC). Consecutive filtrations using a range of membrane pore size removed a small fraction of macromolecular aggregates from dilute polysaccharide solutions with relatively little effect on the major component molecules as monitored by DLS and SEC measurements. Access to aggregate-free dilute solutions of SSPS and GPase/SSPS allowed the direct measurement of molecular characteristics. SLS results showed that SSPS had a weight average molecular weight of (645+/-11)x 10(3)g/mol and a radius of gyration, Rg, of (23.5+/-2.8)nm. By comparing R(g) with the hydrodynamic radius, Rh (21.1+/-0.5 nm) obtained from DLS, the structural parameter rho (Rg/Rh) was found to be 1.1, suggesting that SSPS has an overall globular shape due to a highly branched structure. The modified SSPS had a significantly lower molecular weight (287+/-18)x 10(3)g/mol but a similar radius of gyration (23.2+/-1.7 nm). The structure parameter rho of GPase/SSPS was higher (rho=1.3) because of a smaller hydrodynamic radius (17.7+/-1.8 nm). This suggests that GPase/SSPS has a much less branched structure yet still differs significantly from a linear random coil conformation (rho=1.7-2.0). The results derived from SLS and DLS are in agreement with the conclusions obtained from a chemical analysis where the reduction of molecular weight of GPase/SSPS was caused by the cleavage of galactan side chains.     

Structure of the myosin head in solution and the effect of light chain 2 removal.

Structural properties of rabbit skeletal myosin head (S1) and the influence of the DTNB light chain (LC2) on the size and shape of myosin heads in solution were investigated by small angle x-ray scattering. The LC2 deficient myosin head, S1 (-LC2), and the S1 containing LC2 light chain, S1 (+LC2) were studied in parallel. The respective values of the radius of gyration were found to be (40.2 +/- 0.5) A and (46.7 +/- 1) A, while the maximum dimension was (190 +/- 15) A for both species. The large difference between the two Rg values suggest that LC2 is located close to one extremity of the myosin head, in agreement with most electron microscopy observations. All models derived from the x-ray scattering pattern of the native myosin head share a common overall morphology, showing two main regions, an asymmetric globular portion which tapers smoothly into a thinner domain of roughly equivalent length making an angle of approximately 60 degrees, with a contour length of approximately 210 A.     

Structural properties of human glycodelin A in water and in water-alcohol mixtures: a comparison with bovine beta-lactoglobulin A.

Human glycodelin A (GdA) is a glycoprotein that is highly homologous to bovine beta-lactoglobulin A (beta-LgA) because the amino acid sequences are 50-60% identical. The structural characteristics of human GdA and beta-LgA were compared in water and 2-propanol/water solutions. Circular dichroism spectra reveal that in water the two proteins have a very similar beta-sheet secondary structure. In the presence of 2-propanol/water mixtures (up to 50% v/v) the alpha-helix structure of both proteins increases. A further increase in the alcohol percentage of the solvent (up to 80% v/v 2-propanol) causes the formation of a new folded tertiary structure containing mainly beta-sheet features. Synchrotron radiation small angle X-ray scattering indicates that, in a neutral pH aqueous solution, GdA is a dimer. Its radius of gyration value (Rg), 25.1+/-0.4 A, is greater than that of beta-LgA (21.1+/-0.3 A), probably because of the contribution of polysaccharides bound to Asn-28 and Asn-63 residues of GdA. Conversely, small angle X-ray scattering and gel permeation chromatography data on GdA in 2-propanol have revealed a massive aggregation of the protein.     

Neutron small angle scattering of matched proteoliposomes with incorporated F0F1 ATPase complex from Rhodospirillum rubrum FR1. An approach to the structure of membrane proteins in their natural environment

Purified F0F1 ATPase from Rhodospirillum rubrum FR1 has been incorporated into lipid vesicles from the partially deuterated phospholipid dimyristoylglycerophosphocholine (DMPC-D54). These proteoliposomes were able to carry out energy transducing reactions. The incorporation of the membrane protein was controlled by freeze fracture electron microscopy. A method for structural research of the membrane protein in its natural environment has been developed by means of neutron small angle scattering. Using the contrast variation technique, the lipid part of the proteoliposomes was matched by adding an appropriate amount of D2O to the solvent. Thus the neutron scattering profile of F0F1 ATPase incorporated into vesicles was separated from the neutron scattering of the liposome. F0F1 ATPase incorporated in a lipid bilayer, as well as the free enzyme, yields a radius of gyration of Rg = 6.0 +/- 0.1 nm which leads to an overall diameter of 15.5 nm. This result suggests that the monomeric form of F0F1 ATPase is incorporated in DMPC-D54 membranes at 20 degrees C.     

Direct comparison of the crystal and solution structure of xylanase from Trichoderma longibrachiatum

The small angle X-ray scattering (SAXS) data of xylanase XYNII (endo-1,4-beta-xylan xylanohydrolase EC 3.2.1.8) from Trichoderma longibrachiatum, an enzyme catalysing the reaction of accidental hydrolysis of beta-1,4-D-xylosidic linkages of xylan, were recorded for protein solution using synchrotron radiation. The experimental data were compared with those of theoretical scattering calculated on the basis of the known crystal structure. The radius of gyration measured by SAXS (RG = 1.7 nm) was about 3.5% larger and the maximum dimension in the distance distribution function about 5 % larger than the corresponding values calculated on the basis of the crystal structure.     

SAXS study of crotapotin at low pH.

The structure of crotapotin, a protein extracted, from the venom of the Crotalus durissus terrificus, in solution at pH = 1.5, was studied by SAXS. The experimental results yield structural parameter values of the molecular radius of gyration Rg = 13.6 A, volume v = 16.2 x 10(3) A3 A3 and maximal dimension Dmax = 46 A. The distance distribution function deduced from the scattering measurements is consistent with an overall molecular shape of an oblate ellipsoid of revolution with asymmetry parameter v = 0.45.     

Use of analytical gel chromatography to analyze tertiary and quaternary structural changes in E. coli aspartate transcarbamylase

E. coli aspartate transcarbamylase (ATCase) is a large (310 kDa) protein that undergoes major changes in quaternary structure when substrates and regulatory nucleotides bind. We have used analytical gel chromatography to detect quaternary structure changes in both the holoenzyme and its catalytic subunit (c3), to characterize the quaternary structure of single site mutant proteins and to monitor urea-induced dissociation and unfolding of c3. Binding of the bisubstrate analog PALA (N-(phosphonacetyl)-L-aspartate) to ATCase and c3 has been shown to alter s20.w by -3.3% and + 1.4%, respectively [Howlett, G.J. and Schachman, H.K. (1977), Biochemistry 23, 5077-5083]. The corresponding changes in the chromatographic partition coefficient (sigma) are -2.6 +/- 0.3% and 5.5 +/- 1.9% on Sephacryl S400HR and S200, respectively. Partition coefficients of mutant ATCases with single site mutations in the c chain differ from those of the wild-type protein by +/- 0.5% in small zone experiments; for example, mutations Arg 269----Gly and Glu 239----Gln alter the partition coefficient by 0.4% and -0.5%, respectively. The partition coefficient of mutant Glu 50----Gln is identical to the wild type enzyme. In the presence of saturating PALA, partition coefficients of Glu 50----Gln and Arg 269----Gly, but not Glu 239----Gln are identical to those of the wild type. Results for Glu 239----Gln are consistent with measurements of activity, small angle X-ray scattering and sedimentation coefficient that indicate that mutations at this site shift the quaternary structure towards the R state [Ladjimi and Kantrowitz (1988), Biochemistry 27, 276-83; Vachette and Hervé, cited by Kantrowitz and Lipscomb (1988), Science 241, 669-674; Newell and Schachman (1988), FASEB J. 2, A551]. Results for Glu 50----Gln are also consistent with measurements of activity (Ladjimi et al. (1988), Biochemistry 27, 268-276). The changes in tertiary and quaternary structure that result from urea-induced denaturation of c3 result in larger changes in the partition coefficient. Dissociation into folded monomers in 1-1.75 M urea is accompanied by a 4.6% increase in partition coefficient, while denaturation at greater than 5 M urea gives rise to a 43% decrease on S-300 Sephacryl. The bisubstrate analog PALA suppresses dissociation and increases the cooperativity of the unfolding reaction.     

Solution structures of dimeric kinesin and ncd motors

The dimeric structure of the members of the kinesin family of motor proteins determines the individual characteristics of their microtubule-based motility. Crystal structures for ncd and kinesin dimers, which move in opposite directions on microtubules, show possible states of these dimers with ADP bound but give no information about these dimers in solution. Here, low-angle X-ray and neutron scattering were used to investigate their solution structures. Scattering profiles of Drosophila ncd 281-700 (NCD281) and human kinesin 1-420 (hKIN420) were compared with models made from the crystallographically determined structures of NCD281 and rat kinesin 1-379 (rKIN379). From the low-angle region it was found that the radius of gyration (Rg) of NCD281 is 3.60 +/- 0.075 nm, which is in agreement with the crystallography-based model. Scattering by longer ncd constructs (NCD250 and NCD224) is also well fit by the appropriate crystallography-based models. However, the measured Rg of hKIN420, 4.05 +/- 0.075 nm, is significantly smaller than that of the crystallography-based model. In addition, the overall scattering pattern of NCD281 is well fit by the model, but that of hKIN420 is poorly fit. Model calculations indicate that the orientation of the catalytic cores is different from that observed in the rKIN379 crystal structure. Like the crystal structure, the best-fitting models do not show 2-fold symmetry about the neck axis; however, their overall shape more resembles a mushroom than the "T"-like orientation of the catalytic cores found in the crystal structure. The center of mass separations of the catalytic cores in the best-fitting models are 0.7-1 nm smaller than in the crystal structure.