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Structure of the native supercoiled flagellar hook as a universal joint


The Bacterial flagellar hook is a short supercoiled tubular structure made from a helical assembly of the hook protein FlgE. The hook acts as a universal joint that connects the flagellar basal body and filament, and smoothly transmits torque generated by the rotary motor to the helical filament propeller. In peritrichously flagellated bacteria, the hook allows the filaments to form a bundle behind the cell for swimming, and for the bundle to fall apart for tumbling. Here we report a native supercoiled hook structure at 3.6 Å resolution by cryoEM single particle image analysis of the polyhook. The atomic model built into the three-dimensional (3D) density map reveals the changes in subunit conformation and intersubunit interactions that occur upon compression and extension of the 11 protofilaments during their smoke ring-like rotation. These observations reveal how the hook functions as a dynamic molecular universal joint with high bending flexibility and twisting rigidity.


Bacterial motility is essential for their survival in ever changing environments inside and outside of host organisms and is also very important for their pathogenicity. Bacteria swim in viscous liquid environments by using the flagellum1,2,3. The flagellum is composed of about 30 different proteins and can be roughly divided into three parts: the basal body, the hook, and the filament. The basal body acts as a rotary motor powered by ion motive force across the cytoplasmic membrane as well as a protein export apparatus to construct the axial structure of the flagellum. The filament is a helical propeller, and it is a supercoiled form of a helical tubular assembly consisting of a few tens of thousands of flagellin molecules4. The hook is a relatively short axial segment working as a universal joint connecting the basal body and the filament for smooth transmission of motor torque to the filament oriented off-axis of the motor5,6.

The structure of hook has been studied by combining the atomic model of a core fragment of Salmonella enterica hook protein FlgE solved by X-ray crystallography and a relatively low-resolution (~15 Å) three-dimensional (3D) density map of Salmonella polyhook in the straight form analyzed by electron cryomicroscopy (cryoEM) helical image analysis, and it has given a deep insight into the universal joint mechanism7. However, the supercoiled structure of the hook presented in this study7 was an approximate model based on the atomic model of the straight hook without its inner core domain and EM observations of supercoiled polyhook by freeze–dry and Pt/Pd shadow cast8. The atomic model of Salmonella straight hook became more complete and reliable several years later by a higher-resolution 3D density map obtained by advanced techniques of cryoEM helical image analysis that made it possible to visualize most of the secondary structures of subunit proteins within a week or so from data collection to image analysis9. With further advances in cryoEM technologies, we recently obtained the structure of the straight hook from Salmonella at 4.1 Å resolution by cryoEM helical image analysis, built a complete atomic model, and clarified in detail the intra- and intermolecular interactions that are important for hook assembly10. Although this opened up the possibility to build a far more reliable and complete model of the supercoiled hook than the previous one7, it was still desirable to directly visualize the structure of the native supercoiled hook by cryoEM single-particle image analysis without enforcing any symmetry.

Here we report the native supercoiled hook structure at 3.6 Å resolution obtained by cryoEM single-particle image analysis of the Salmonella polyhook. The atomic model built into the density map shows the actual changes in subunit conformation and intersubunit interactions upon compression and extension of the 11 protofilaments that occur during their smoke ring-like rotation and allow the hook to function as a dynamic molecular universal joint with high bending flexibility and twisting rigidity.


Structure of the native supercoiled hook

We isolated polyhooks from a fliK-deficient mutant strain of Salmonella, SJW880 (ref. 11), which produces polyhooks that are structurally identical to the native hook but grows as long as 1 µm12. We plunge froze a holey carbon grid loaded with this sample solution kept at a room temperature at least for a few hours before plunging into liquid ethane to keep the polyhooks in the native supercoiled form. The polyhooks were observed in motion-corrected images (Fig. 1a), and about 35 nm long tubular segments were extracted with 90% overlap between the consecutive segments to obtain two-dimensional (2D) class averages, which clearly show helical arrays of FlgE subunits in different views (Fig. 1b). Then the 3D image was reconstructed from 157,334 such segment images (Fig. 1c). The resolution was 3.6 Å at a Fourier shell correlation of 0.143 (Supplementary Fig. 1).

Fig. 1

Structure of native supercoiled hook. a A cryoEM image of ice-embedded native supercoiled polyhook. Scale bar, 20 nm. b Class averages by 2D classification. c Reconstructed density map and atomic models of FlgE subunits in ribbon representation colored in rainbow from the N- to C-terminus. d A density map of supercoiled polyhook extended to the length of one helical pitch.

To estimate the helical pitch and radius of the supercoil, we built a long 3D density map of the polyhook by extending this short segment map to a length of one helical pitch of the supercoil (Fig. 1d, Supplementary Movie 1). The supercoil was left-handed with a helical pitch of 129 nm and a diameter of 33 nm. Supercoiled forms of Salmonella polyhooks have been studied by EM with negative stain as well as freeze–dry and Pt/Pd shadow-cast to avoid flattening, under different solution conditions by changing pH and temperature8. The polyhook under neutral pH at room temperature was called “Normal”, and it was a right-handed supercoil with a helical pitch of 95 nm and a diameter of 35 nm. Somehow, the structure of the native polyhook we obtained is more similar to their “Left-handed” with a helical pitch of 60–100 nm and a diameter of 5–35 nm formed under pH 2–5 and at a temperature lower than 15 °C, but no such large variations in the helical pitch and diameter are observed in our cryoEM images. So we believe the supercoil of the native hook is left-handed as is now shown in the near-atomic resolution structure revealed by cryoEM.

Based on this cryoEM map, we built atomic models of FlgE for 26 subunits that cover more than two turns of the 1-start helix of its helical assembly (Fig. 1c). The model of FlgE consists of three domains, D0, D1, and D2, arranged from the inner core to the outer surface of the hook, just as previously modeled7,9. But we were also able to build a model for residues 24–71 including domain Dc as a long β-hairpin (Ser 3–Phe 60) and an extended chain (Thr 61–Gly 71) formed by the region connecting the N-terminal α-helix of domain D0 and domain D1 as well as an extended chain connecting domain D1 to the C-terminal α-helix of domain D0 (Gly 358–Asp 366) (Supplementary Fig. 2). These complete atomic models of FlgE were all similar to the one in the straight hook structure10.

Differences of subunit conformations between protofilaments

The hook is made of 11 protofilaments9,13, just like the flagellar filament connecting to the distal end of the hook through two junction proteins4. Since the paths of the protofilaments are nearly parallel to the tubular axis of the hook, the protofilament length varies from one to the other. Accordingly, the subunit conformation gradually changes along the circumference from one protofilament to the next due to the supercoiled nature of the native hook structure, although the conformations of subunits are nearly identical within each protofilament. So, although the conformations of the 26 subunits we built into the map were all similar to one another, we identified 11 distinct conformations among them, one for each protofilament (Supplementary Fig. 3). These 11 distinct conformations are all realized by slightly different arrangements of the three domains but the domain conformations are well preserved (Supplementary Fig. 4). The color-coded distances between Cα atoms of corresponding residues of the axially neighboring subunits within each protofilament clearly visualize the curvature of the supercoiled hook (Fig. 2a). The short, middle, and long distances are colored from blue to orange, where the shortest distance was 36.9 Å in protofilament 7, and the longest one was 56.7 Å in protofilament 1 as numbered in the upper panel. These distances change as a function of the radius, and the average distances measured over Cα atoms in domains D2 were 38.4 and 53.6 Å, those in domains D1 were 40.6 and 50.4 Å, and those in domains D0 were 42.7 and 48.8 Å, respectively, in protofilament 7 and 1 (Supplementary Fig. 5). The subunit distance along the protofilament is 45.6 Å in the straight form of the hook9, which is close to the averages of these sets of paired two distances, indicating that the curvature of the native hook is formed by elastic bending deformation.

Fig. 2

Conformational differences of FlgE subunits depending on the protofilament position. a End-on and side views of the supercoiled hook color-coded for the distance between corresponding residues of neighboring subunits along each protofilament. Each of the 11 protofilaments are numbered from 1 to 11, with protofilament 1 for the longest (extended) and 6 and 7 for the shortest (compressed). In end-on view, just one subunit is shown for each protofilament for clarity. b Superimposition of FlgE subunits from protofilaments 1, 3 and 5 (left) and from protofilaments 7, 9 and 11 (right). c Changes in position and orientation of domains D1 and D2 relative to D0 by its superposition. Color codes are in a gradient from blue for shortest (compressed) to orange for the longest (extended).

When the atomic models of FlgE in 11 different conformations are superimposed to each other, their gradual changes from one protofilament to the next are shown clearly (Fig. 2b, Supplementary Movie 2). However, the superpositions of corresponding domains show almost no changes in their conformations as mentioned above (Supplementary Fig. 4). When the two subunit conformations in the shortest and longest protofilaments are compared by superposing the D0 domains, domain D1 shifts up by 5 Å and tilts by 4°, and domain D2 tilts by 24° in addition, in order to achieve an overall subunit length extension of 14.7 Å (Fig. 2c). Thus, the compression and extension of each protofilament during the smoke ring-like rotation is achieved by changing relative domain orientations of FlgE while maintaining the conformation of each domain.

Dynamic changes in intermolecular interactions

The smooth compression and extension of the protofilament are achieved also by dynamic changes in intersubunit interactions. The overall changes of intersubunit interactions can be depicted well by comparing two sets of models, each consisting of an array of four neighboring subunits (Fig. 3a), in which the middle two subunits are from the shortest and longest protofilaments, respectively (Fig. 3b). Domains D0 and Dc form one compact domain D0–Dc consisting of the N- and C-terminal α-helices and a long β-hairpin (residues 1–71 and 358–402), and this domain is tilted by about 17° from the tubular axis of the hook. Within each protofilament, the bottom of the N-terminal helix of the upper subunit is located on the top of the C-terminal helix with relatively large gaps of 6.3 and 12.5 Å in the short and long protofilaments, respectively (Fig. 3c). The bottom of the C-terminal helix of the upper subunit axially overlaps with the top of the C-terminal helix of the lower subunit to allow their mutual sliding for protofilament compression and extension (Fig. 3c, d). The relative disposition of the C-terminal helices between the neighboring protofilaments is well maintained between subunits 0 and 5 but shows a slight axial shift between subunits 0 and 6 and a larger axial shift between subunits 0 and 11 (Fig. 3d). Residues Gly 329–Asp 330 of subunit 0 at the tip of a short β-hairpin of domain D1 interact with residues Ala 39–Asp 40 of subunit 5 in the distal part of the long β-hairpin of domain Dc, and this interaction does not change by protofilament compression and extension (Fig. 4a), indicating the importance of the long β-hairpin of domain Dc for the structural stability of the hook, as predicted from the straight hook structure10 and found by deletion mutation experiments14.

Fig. 3

Structural changes upon protofilament compression and extension. a Subunit array with number labels and the directions of the three major helical lines in the overall structure of the supercoiled hook. Only domain D2 is colored in rainbow from its N- to C-terminus to make it stand out. b Conformations and intersubunit interactions of four neighboring subunits around the shortest (compressed) and longest (extended) protofilaments. A reference subunit is labeled 0 and the three neighboring subunits are labeled 5, 6 and 11 according to the three major helical directions of −5-, 6- and 11-start, respectively. c The difference in the gap distance between the D0 domains along the protofilament for the shortest and longest. In b and c, FlgE subunits in ribbon representation are colored in rainbow from the N- to C-terminus. d Superimposition of the C-terminal helices of subunits around the shortest (blue) and longest (orange) protofilaments.

Fig. 4

Changes in intersubunit interactions upon protofilament compression and extension. a Constant interactions between domain D1 of subunit 0 and domain D0–Dc of subunit 5. b Relative sliding shift between domain D1 of subunit 0 and domain D1 of subunit 6. c Constant interactions between the D2 domains of subunits 0 and 6 along the 6-start helical directions on the surface of the hook. d Relative sliding shift along the protofilament between domain D2 of subunit 0 and the triangular loop of domain D1 of subunit 11. The arrowheads indicate the triangular loop. color codes of the ribbon diagrams are the same as Fig. 2, blue for the shortest (compressed) and orange for the longest (extended) protofilament.

The D1 domains form a mesh structure in the −5-, 6-, and 11-start helical directions with some gaps9. These domain interactions stabilize the hook structure by maintaining the −5-start interactions while switching the 6-start interactions by an axial shift for protofilament compression and extension. Constant interactions are seen between residues Leu 101–Glu 103 of subunit 0 with Ala 320–Asn 321 and Gln 337–Ser 339 of subunit 5 (Fig. 4a), but the interactions between Ser 87–Asn 88 of subunit 6 and Gly 348–Gly 350 of subunit 0 are present only in the compressed form (Fig. 4b, blue).

The D2 domains form a six-stranded helical array on the surface of the hook by their tight interactions along the 6-start helical direction (Fig. 4c) regardless of the protofilament length. The residues involved are Ser 159–Thr 160, Asp 204–Asn 205, Glu 233–Asn 234, and Gln 268–Thr 270 of subunit 0 with Leu 142–Ala 145, Ser 188–Asn 191, Asn 251–Ala 253, and Lys 284–Asp 287 of subunit 6. The close packing interactions between the D2 domains of the neighboring 6-start helical array on the inner side of the curved supercoiled hook were predicted to stabilize the native supercoiled hook structure7, and this was confirmed by a mutation experiment showing that the hook becomes straight by the deletion of domain D2 while keeping the bending flexibility to work as a universal joint15. We now see these interactions in the present structure (Fig. 1c). Domain D2 of subunit 0 maintains an axial intersubunit interaction along the protofilament with the triangular loop (Gly 117–Pro 135) of domain D1 of subunit 11, and molecular dynamics simulation of the previous protofilament model showed a relatively large axial sliding upon compression and extension of the protofilament7. This is also confirmed in the present structure (Fig. 4d, Supplementary Movie 3), indicating the importance of this dynamic intersubunit axial interaction for the bending flexibility of the hook while keeping its structural stability, as was also suggested by a mutation study16.

The stable interdomain interactions unperturbed by the protofilament compression and extension as well as variable interdomain dispositions that allow the hook to take supercoil conformations can be quantitatively measured from the distances between Cα atoms of corresponding residues from each of the 11 subunits in distinct conformations to their neighboring subunits in the −5, 6, and 11 major helical directions (Fig. 3a, b). The measured distances are depicted by color coding in Supplementary Fig. 6. In the 11-start interactions (Supplementary Fig. 6a), the tip of the C-terminal helix has the minimum standard deviation, and domain D2 shows the largest standard deviation, indicating that the bottom of the C-terminal helix is the pivot point for subunit tilt for hook bending. In the −5-start direction (Supplementary Fig. 6b), domain D0 and the left half of domain D1 show small standard deviations. In the 6-start direction (Supplementary Fig. 6c), the four-stranded β-sheet on the outside of domain D2 shows a smallest standard deviation because of their stable interactions along the 6-start helical line. Thus, the hook structure is composed of three radial layers formed by the D0–Dc, D1 and D2 domains, and the stable interdomain interactions in different helical directions in each of the three layers as well as the flexible connections between the layers are the basic design architecture of the hook to work as a molecular universal joint while maintaining the rigid tubular structure against twisting for transmitting motor torque to the filament (Fig. 5, Supplementary Movie 4).

Fig. 5

Three-layered architecture and the atomic model of the native hook. a The tube, mesh, and spring layers of the hook structure are colored pink, yellow, and cyan, respectively. b The complete atomic model of the native hook (rainbow) with the flagellar basal body (gray) consisting of the C ring, MS ring, and LP ring from the bottom to the top where the rod encapsulated inside the LP ring is directly connected to the bottom of the hook.


The flagellar rod protein FlgG of Salmonella shows considerable sequence and structural similarities to the D0, Dc, and D1 domains of FlgE, but does not have a domain corresponding to domain D2 of Salmonella FlgE17,18. In contrast to the hook however, the rod is straight, rigid, and functions as the drive shaft of the flagellar motor. This difference in the mechanical properties results from the FlgG-specific 18-residue insertion in domain Dc, as was confirmed by an experiment in which the insertion of this sequence into FlgE made the hook straight and rigid19. FlgE of Campylobacter jejuni possesses a similar 17-residue insertion, and this insertion makes the β-hairpin of domain Dc much longer than that of Salmonella FlgE20. This β-hairpin was named L-stretch and occupies the gap formed by three D1 domains of subunits 0, 6, and 11 (ref. 20), possibly contributing to the higher stiffness of the Campylobacter hook. The corresponding gap in the Salmonella hook is much smaller in the compressed protofilaments (Fig. 6), suggesting that its bending flexibility is allowed by the absence of the tip of this long β-hairpin formed by 17-residue insertion. This also explains how the insertion of the FlgG-specific 18-residues into Salmonella FlgE makes the hook straight and rigid19. The inserted residues are likely to form the long β-hairpin in the L-stretch conformation just as that of Campylobacter FlgE to fill the gap to prevent protofilament compression in the hook made of the insertion mutant of FlgE. Thus, this gap is essential for the bending flexibility of the hook.

Fig. 6

The gap formed by three D1 domains of subunit 0, 6, and 11. a Structural comparison of FlgE from Salmonella (blue and yellow) and Campylobacter (red, PDB-ID:5JXL) by superposition of domain D0. bd The gaps formed by three D1 domains around the shortest (b) and the longest (c) protofilament of the native supercoiled hook of Salmonella, and of the straight hook of Campylobacter (d). In d, the loop in green filling the gap is the tip of the L-stretch of domain Dc of subunit 16.

Many different filamentous structures have been studied by cryoEM image analysis but the sample needed to have a straight form with a helical symmetry by mutations or changing solution conditions. However, current cryoEM methodologies allow the reconstruction of structures from native supercoils at near-atomic resolution without strict helical symmetry. Another structure of Salmonella hook in a supercoiled form has recently been solved independently by another group21. The different helical pitch of their supercoiled hook structure 996 Å21 compared with 1290 Å reported here indicates that the supercoiled hook observed under pH 3.5 is one of the polymorphic supercoiled forms that appear under different solution conditions8. Interestingly, the close packing interactions between the D2 domains of the neighboring 6-start helical array on the inner side of the supercoiled hook are clearly different between these two structures, strongly supporting that the close packing interactions between the D2 domains is responsible for the formation of polymorphic supercoiled hook structure as previously proposed7. So, this is another demonstration of the power of the cryoEM technique in revealing physiologically meaningful macromolecular structures and their polymorphic formation mechanisms. Elucidating the mechanism of polymorphic supercoiling of the flagellar filament switching between left- and right-handed helical propellers for chemotaxis-driven run and tumble of bacterial cell swimming, which is distinct from that of the hook we presented here, is now within reach.


Sample preparation

A Salmonella polyhook strain, SJW880, was used to prepare polyhooks22 for cryoEM observation. The cells were grown in 5 l culture, harvested in the late-logarithmic stage, and collected by centrifugation at 4,600g for 10 min. The pellets were resuspended in 240 ml of an ice-cold buffer containing 0.5 M sucrose and 50 mM Tris/HCl (pH 8.0). EDTA and lysozyme were added to final concentrations of 10 mM and 0.1 mg ml−1, respectively. After the solution was stirred for 30 min, resulting spheroplasts were lysed by adding Triton X-100 and MgSO4 to final concentrations of 1% and 10 mM, respectively, and the solution was stirred again on ice for 1 h. Unlysed cells and cell debris were removed by centrifugation at 15,000g for 20 min, and pH of the supernatant was adjusted to 10.5 by adding 5 M NaOH. The lysate was spun down by centrifugation at 60,000g for 60 min, and the pellet was resuspended in Buffer C (10 mM Tris-HCl, 5 mM EDTA, 1% Triton X-100). The polyhook-basal body was collected from a fraction of 20–50% sucrose density-gradient centrifugation in Buffer C. After centrifugation at 60,000g for 60 min, the pellet was resuspended in 25 mM Tris-HCl pH 8.0, 100 mM NaCl23. To prepare the native supercoiled polyhook, the purified sample was incubated overnight at room temperature.

Data collection

A 2.4 μl sample solution was applied onto a glow discharged holey carbon grid (Quantifoil R1.2/1.3 Mo grid, Quantifoil Micro Tools, Germany), and the grid was plunge-frozen into liquid ethane by Vitrobot mark IV (Thermo Fisher Science, USA) with a blotting time of 3 s at 18 °C and 90% humidity. All the data collection was performed on a prototype of CRYO ARM 200 (JEOL, Japan) equipped with a thermal field-emission electron gun operated at 200 kV, an Ω-type energy filter with a 20 eV slit width and a K2 Summit direct electron detector camera (Gatan, USA). An automated data acquisition program, JADAS (JEOL, Japan), was used to collect cryoEM image data, and pre-processing, motion correction, and CTF estimation were carried out in real-time by the Gwatch image processing pipeline software we developed. Movie frames were recorded using the K2 Summit camera at a calibrated magnification of ×45,579 corresponding to a pixel size of 1.097 Å with a defocus range from −0.6 to −1.8 μm. The data were collected with a total exposure of 10 s fractionated into 50 frames, with a total dose of ~50 electrons Å−2 in counting mode. A total of 1702 movies were collected.

Image processing

Motion correction was carried out by MotionCor2 (ref. 24), and the CTF parameters were estimated by Gctf25. Polyhook images were automatically selected by RELION 3.0 (ref. 26) as a helical object, and they were segmented into a box of 320 × 320 pixels with 90% overlap. After performing 2D classification for 1,029,196 such segmented images by RELION 3.0, the best particles were selected from the result. After ab-initio reconstruction from 323,254 segment images for five classes, 157,334 segment images of the best two classes were merged and subjected (Supplementary Fig. 7) to homogeneous refinement in cryoSPARC27. CTF refinement was carried out by RELION 3.0 using converted data from the cryoSPARC file format to the RELION file format. Although the resolution obtained by cryoSPARC was 3.07 Å, the FSC curve did not reach 0.0 before the Nyquist frequency due to redundant information by the 90% overlap of image segment boxes used for particle extraction. By editing the star file with RELION to avoid the use of redundant information in each half of the image data set for 3D image reconstruction, the final resolution was 3.6 Å as measured by RELION. The final map was sharpened using a negative B-factor of 125 by cryoSPARC. Atomic model building was performed by COOT28, and then PHENIX29 was used for real-space refinement. All the images of the 3D maps and models used in this paper were prepared by UCSF Chimera30.

Reporting Summary

Further information on research design is available in the Nature Research Reporting Summary linked to this article.

Data availability

The cryoEM volume has been deposited in the Electron Microscopy Data Bank under accession code EMD-9952, and the atomic coordinates have been deposited in the Protein Data Bank under accession code 6K9Q []. Other data are available from the corresponding author upon reasonable request.

Code availability

The pipeline program Gwatch for efficient cryoEM image data collection is available at


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We thank Miki Kinoshita for analyzing the flgE sequence and Tohru Minamino for discussions and critically reading the manuscript. This work has been supported by JSPS KAKENHI Grant Number 25000013 to K.N. and 18K06155 to T.M. and also supported by Platform Project for Supporting Drug Discovery and Life Science Research (BINDS) from AMED under Grant Number JP19am0101117 to K.N., by the Cyclic Innovation for Clinical Empowerment (CiCLE) Grant Number JP17pc0101020 from AMED to K.N., and by JEOL YOKOGUSHI Research Alliance Laboratories of Osaka University to K.N.

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T.K. and K.N. conceived the project. T.M. and P.H. prepared the native hook sample. T.K. carried out data collection and structural analysis. T.K., F.M., and K.N. studied the structure and analyzed the conformational changes and intermolecular interactions of FlgE in the native hook structure. K.N. supervised this project. All authors discussed the results, and T.K., F.M., and K.N. wrote the manuscript on the basis of discussion with T.M. and P.H.

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Correspondence to Keiichi Namba.

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Kato, T., Makino, F., Miyata, T. et al. Structure of the native supercoiled flagellar hook as a universal joint. Nat Commun 10, 5295 (2019).

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