Structural insights into the regulation of SigB activity by RsbV and RsbW

Crystal structures and a SAXS envelope model of the RsbV–RsbW complex reveal that the RsbW tetramer forms a core structure to regulate SigB activity.


Introduction
Bacterial sigma factors recognize promoter elements and initiate transcription as key components of the bacterial RNA polymerase holoenzyme (Burgess et al., 1969;Saecker et al., 2011). Almost all bacteria harbor multiple sigma factors, each of which regulates the transcription of a group of genes known as a regulon, depending on its promoter-sequence preferences (Gross et al., 1998;Wö sten, 1998). To regulate the activity of sigma factors, anti-sigma factors suppress their partner sigma factors under normal growth conditions and release the sigma factors in response to specific signals; this differs for primary sigma factors, which initiate the transcription of housekeeping genes required for cellular maintenance under normal growth conditions (Paget, 2015).
Various mechanisms have been described in which antisigma factors suppress sigma factors and release them in response to stimuli (Paget, 2015). Many anti-sigma factors, including those for Escherichia coli SigE and Bacillus subtilis SigW, are degraded by regulated intramembrane proteolysis in response to extracellular signals, releasing their associated sigma factors (Barchinger & Ades, 2013;Heinrich et al., 2009). Some anti-sigma factors, such as those for E. coli Sig32 and Streptomyces coelicolor SigR, unleash sigma factors by changing their own conformation directly in response to stress signals (Chakraborty et al., 2014;Rajasekar et al., 2016;Chattopadhyay & Roy, 2002). Some anti-sigma factors, such as those for B. subtilis SigF and SigB, release their sigma factors by exchanging binding partners with anti-anti-sigma factors (Duncan et al., 1996;Magnin et al., 1997).
The anti-sigma factor RsbW releases SigB to induce SigBdependent transcription under specific stress conditions. More than 150 genes are transcribed by the SigB-associated RNA polymerase under diverse signals such as energy starvation, heat, salt and ethanol (Hecker & Vö lker, 2001;Hecker et al., 2007). Although energy and environmental stress signals activate different signaling pathways, both of the pathways commonly regulate the binding of the anti-anti-sigma factor RsbV to RsbW through the dephosphorylation of RsbV (Voelker et al., 1995(Voelker et al., , 1996Fig. 1). In these signaling pathways, energy stress activates the phosphatase RsbP via RsbQ (Vijay et al., 2000;Brody et al., 2001), while environmental stressors activate the phosphatase RsbU via a stressosome, a large protein complex composed of RsbS, RsbT and RsbR (Chen et al., 2003;Kuo et al., 2004). RsbP and RsbU dephosphorylate RsbV under stress conditions; RsbV then tightly binds to RsbW and triggers the release of SigB (Dufour & Haldenwang, 1994;Voelker et al., 1996). Conversely, in the absence of stress signals, RsbW phosphorylates RsbV and binds to SigB (Dufour & Haldenwang, 1994). That is, SigB activity is determined by the presence of the dominant kinase (RsbW) or phosphatase (RsbU and RsbP), which is determined by the environmental conditions (Voelker et al., 1995;Dufour & Haldenwang, 1994;Voelker et al., 1996). To understand the structural basis of how SigB activity is regulated by the antisigma factor RsbW and the anti-anti-sigma factor RsbV, we analyzed the molecular assembly of the RsbV-RsbW complex using multi-angle light scattering (MALS) and small-angle X-ray scattering (SAXS) envelope structures as well as the crystal structures.

Experimental procedures 2.1. Plasmid preparation, protein expression and purification
Genes encoding RsbV (residues 1-109), RsbW (residues 1-160) and SigB (residues 1-262) were amplified by polymerase chain reaction from the genomic DNA of B. subtilis strain 168. DNA encoding a 6ÂHis-thioredoxin-TEV protease cleavage site was pre-inserted upstream of the multi-cloning site (MCS) in the pETDuet-1 and pET-28b vectors (Merck Millipore, Billerica, Massachusetts, USA). A plasmid encoding both RsbV and RsbW was prepared by inserting rsbV and rsbW into MCS-1 and MCS-2, respectively, of the modified pETDuet-1 vector. The plasmid encoding SigB and RsbW was prepared by inserting rsbW and sigB into the modified pETDuet-1. Plasmids encoding RsbV or RsbW alone were prepared by inserting rsbV or rsbW into the modified pET-28b vector.
RsbW and 6ÂHis-thioredoxin-RsbV were expressed in E. coli strain BL21 Star (DE3) cells (Thermo Fisher Scientific, Waltham, Massachusetts, USA). The E. coli cells were transformed with the plasmid encoding both RsbV and RsbW and were cultured in Luria-Bertani medium at 37 C. When the optical density at 600 nm reached 0.6-0.7, protein expression was induced by adding 0.4 mM isopropyl -d-1-thiogalacto-pyranoside. After overnight culture at 20 C, the cells were harvested by centrifugation at 3000g for 10 min, resuspended in buffer A (20 mM HEPES pH 7.5, 0.2 M NaCl, 0.2 mM TCEP, 5% glycerol) and disrupted by sonication. Cell lysates were incubated with DNase I (Roche, Mannheim, Germany) and RNase A (Roche) at a concentration of 10 mg ml À1 for 30 min and then clarified by centrifugation at 20 000g. The RsbV-RsbW complex was purified by immobilized metalaffinity chromatography and size-exclusion chromatography (SEC). The clarified cell lysates were loaded onto a 5 ml HisTrap chelating column charged with nickel ion (GE Healthcare Life Sciences, Uppsala, Sweden). Proteins bound to the column were eluted with a concentration gradient of 0.05-0.5 M imidazole. Fractions containing 6ÂHis-thioredoxin-RsbV and RsbW were pooled and treated with TEV protease to isolate 6ÂHis-thioredoxin and RsbV. After complete cleavage, the protein solution was dialyzed in buffer A and was subjected to a nickel-charged resin to remove 6ÂHisthioredoxin. Next, the RsbV-RsbW complex was purified by two rounds of SEC using a Superdex 200 preparatory-grade column (GE Healthcare Life Sciences) pre-equilibrated with buffer A. Truncated RsbV-RsbW complexes and RsbW-SigB were expressed and purified as described above for full-length RsbV and RsbW. RsbV and RsbW alone were similarly expressed and purified following the same procedures, except that Superdex 75 preparatory-grade columns were used for SEC (GE Healthcare Life Sciences). For MALS and SAXS experiments, protein buffers were exchanged by SEC using a Superdex 200 analytical column (GE Healthcare Life Sciences).  Schematic of the SigB activation signaling pathway. SigB is released from RsbW in response to environmental and energy stresses, initiating signal transduction.
Next, the homology models were superimposed on the structure of the SpoIIAA-SpoIIAB complex (PDB entry 1til) to generate a model structure of the RsbV-RsbW complex. Initially, four RsbV-RsbW dimers were found by Phaser (McCoy et al., 2007) using a truncated model of the RsbV-RsbW dimer. A total of eight RsbV-RsbW dimers were built in the asymmetric unit. Model building and structure refinement were performed using phenix.refine (Afonine et al., 2012) and Coot (Emsley et al., 2010). The final model of the monoclinic crystal structure was refined to R and R free values of 20.8% and 29.0%, respectively, at 3.4 Å resolution. The hexagonal crystal structure of RsbV 1-104 -RsbW 5-145 was determined by MR using an RsbV-RsbW tetramer from the monoclinic crystal structure as a template. This final model was refined to R and R free values of 22.1% and 24.9%, respectively, at 3.1 Å resolution. The data-collection and refinement statistics are summarized in Table 1. Structural alignment, protein-protein interactions and surface area were analyzed using the DALI server (Holm & Laakso, 2016), LIGPLOT (Laskowski & Swindells, 2011) and PDBePISA (Krissinel & Henrick, 2007), respectively. Figures were drawn using PyMOL (version 1.8; Schrö dinger) and ALSCRIPT (Barton, 1993). The final coordinates and structure factors were deposited in the Protein Data Bank with PDB codes 6m36 for the monoclinic crystal structure and 6m37 for the hexagonal crystal structure.

Asymmetrical flow-field flow fractionation with MALS (AF4-MALS)
Protein molar mass was measured using an AF4-MALS instrument (Wyatt Technology, Santa Barbara, California, USA). The protein buffer for full-length RsbV-RsbW, RsbV 1-104 -RsbW 5-145 , RsbW and RsbW-SigB was phosphatebuffered saline (10 mM Na 2 HPO 4 , 1.8 mM KH 2 PO 4 , 2.7 mM KCl, 0.137 M NaCl pH 7.4), whereas that for RsbV was buffer A. The Eclipse DualTec AF4-MALS system was equipped with a standard channel (246 mm in length), spacer (350 mm in thickness) and regenerated cellulose membrane (10 kDa cutoff). 50 ml of each protein was injected into the AF4-MALS system, which had been pre-equilibrated with protein buffer. The eluates were fractionated in the channel using an out-flow rate of 0.6 ml min À1 and a cross-flow rate of 2.5 ml min À1 and were detected by an 18-angle DAWN HELEOS II. Data were analyzed by fitting the experimental light-scattering data as a Zimm model and were plotted using an EASI graph with an RI peak using the ASTRA 6.1 software (Wyatt Technology).

SAXS
SAXS data were collected on beamline 4C-SAXS II at Pohang Light Source II, Republic of Korea (PLS II-BL4C; Kim et al., 2017). The light from the storage ring of Pohang Light Source II was focused on the beamline by a vertical focusing toroidal mirror coated with rhodium, and the X-rays had a wavelength of 0.734 Å , which was selected using a Si(111) double-crystal monochromator. The size of the X-ray beam exposed to the sample stage was 0.15 mm (vertical) Â . Sample-to-detector distances were fixed at 100 and 400 cm, covering a scattering-vector magnitude range of 0.1 < q < 2.50 nm À1 (q = 4 sin /, where 2 is the scattering angle and is the X-ray wavelength). Proteins at concentrations of 2.5 and 5.0 mg ml À1 were injected into quartz capillary cells (outside diameter 1.5 mm and wall thickness 0.01 mm). Scattering patterns were recorded on a two-dimensional SX-165 charge-coupled detector (Rayonix, Evanston, Illinois, USA) by exposure to X-rays for 10 s, and six consecutive scattering images were collected by running the protein solution at a flow rate of 0.3 ml s À1 through capillary cells using a Microlab 600 advanced syringe pump (Hamilton, Reno, Nevada, USA). Scattering angles were calibrated using polystyrene-b-polyethylene-b-polybutadieneb-polystyrene block copolymer standards. The data were averaged radially and normalized to the intensity of the transmitted beam. The buffer scattering was subtracted from the protein scattering as background noise. The radius of gyration (R g,G ) was calculated by Guinier analysis of the scattering data (Strassburger et al., 1982). The pair distance distribution function p(r) was calculated by indirect Fourier transform using GNOM (Semenyuk & Svergun, 1991). The SAXS parameters are summarized in Table 2. The ab initio molecular envelopes were reconstructed under a P22 symmetry restraint using DAMMIF (Franke & Svergun, 2009). The theoretical SAXS curve of the crystal structure was calculated using CRYSOL (Svergun et al., 1995). To compare the overall shapes and dimensions, the crystal structure was superimposed onto reconstructed dummyresidue models using SUPCOMB (Kozin & Svergun, 2001). Overall structure of RsbW and RsbV. (a) Ribbon diagram and (b) topology model of the structure of RsbW. -Helices, -strands and loops are shown in purple, orange and red, respectively. The secondary structures are labeled 1-3 for helices, 1-5 for strands and 1-7 for loops. 5 between 3 and 3, which was not traced in the crystal structure, is shown in light gray. N and C represent the amino-terminus and carboxyl-terminus, respectively. (c) Ribbon diagram and (d) topology model of the structure of RsbV. The secondary structures are labeled a1-a3 for helices, b1-b5 for strands and l1-l7 for loops.

Results
3.1. Structure determination of the RsbV-RsbW complex B. subtilis RsbV and RsbW were co-expressed in E. coli and the complex was purified by nickel-affinity chromatography and SEC. Initially, the complex of full-length RsbV (residues 1-109) and RsbW (residues 1-160) was crystallized [Supplementary Fig. S1(a)], but the diffraction of this crystal was limited to 7 Å resolution. To improve the resolution limit, various truncated complexes of RsbV and RsbW were purified and crystallized. Of these, the complex of RsbV 1-104 (residues 1-104) and RsbW 5-145 (residues 5-145) formed plate-shaped monoclinic crystals [ Supplementary Fig. S1(b)]. Diffraction data were collected at 3.4 Å resolution and the crystal structure was determined by MR using a homology model of the RsbV-RsbW complex as a template. Residues 59-64 and 85-113 in RsbW were not visible and were not modeled in the electron density. Overall, eight heterodimers of RsbV and RsbW were built in the asymmetric unit. The R and R free values of the final model were 20.8% and 29.0%, respectively [ Supplementary Fig. S2(a) and Table 1].
RsbV and RsbW are homologs of SpoIIAA and SpoIIAB, respectively [Supplementary Figs. S3(a) and S3(b)]. The ADPbound form of the kinase SpoIIAB binds tightly to SpoIIAA (Duncan et al., 1996). To understand the crystal structure of ADP-bound RsbW in complex with RsbV, we obtained rodshaped hexagonal crystals of RsbV-RsbW in the presence of excess ADP [ Supplementary Fig. S1(c)] and determined the crystal structure at 3.1 Å resolution. Two heterodimers of RsbV and RsbW were built in the asymmetric unit and the final model was refined to an R and R free of 22.1% and 24.9%, respectively [ Supplementary Fig. S2(b) and Table 1]. However, residues 86-109 of RsbW corresponding to the ADP-binding loop of Geobacillus stearothermophilus SpoIIAB [ Supplementary Fig. S3(b)] were not visible in the electrondensity map. The ADP molecule was also not observed in the map around the ADP-binding loop. Thus, the crystal structure of RsbV-RsbW was found to be an apo form that did not contain ADP, even though the RsbV-RsbW complex was crystallized in the presence of excess ADP.

Overall structures of RsbV and RsbW monomers
The RsbW monomer in the crystal structures of RsbV-RsbW exhibits a two-layered / fold. One layer forms an antiparallel -sheet (1-5) and the other layer comprises three - helices (1-3) [Figs. 2(a) and 2(b)]. The ADP-binding loop 5 was not visible in the electron-density maps of both the monoclinic and hexagonal crystal structures [ Fig. 2(b) and Supplementary Fig. S4]. The RsbW monomers in the asymmetric units of the monoclinic and hexagonal crystals are highly similar to each other. The root-mean-square deviation (r.m.s.d.) values between the RsbW monomers ranged between 0.4 and 0.8 Å . Compared with known structures, G. stearothermophilus SpoIIAB (PDB entry 1thn) showed the highest similarity. The r.m.s.d. values between the structures of SpoIIAB and RsbW ranged between 1.4 and 1.5 Å for 106 C atoms.
The RsbV monomer has the canonical / fold of STAS proteins, which consists of a superhelix of threeturns (b2-a1, b3-a2 and b4-a3) with additional -strands (b1 and b5) at the N-and C-termini [Figs. 2(c) and 2(d)]. The RsbV monomers in the crystal structure of RsbV-RsbW are also highly similar to each other. The r.m.s.d. values between the RsbV monomers from monoclinic and hexagonal structures ranged between 0.4 and 0.8 Å . Compared with known structures, G. stearothermophilus SpoIIAA (PDB entry 1thn) was most similar to RsbV. The r.m.s.d. values between the structures of SpoIIAA and RsbV ranged between 1.4 and 1.5 Å for 100 C atoms.

Structure of the RsbV-RsbW tetramer
In the crystal structure of the SpoIIAA-SpoIIAB complex, SpoIIAB forms a homodimer and individual SpoIIAA monomers bind to the SpoIIAB monomers, forming a butterfly-shaped heterotetramer (Masuda et al., 2004). The asymmetric units of the hexagonal and monoclinic crystals contain one and four heterotetramers of RsbV-RsbW, respectively. The structures of the RsbV-RsbW tetramer superimpose on those of the SpoIIAA-SpoIIAB tetramer with r.m.s.d. values of 1.9-2.1 Å for 394 C atoms, indicating that the tetrameric assembly of RsbV-RsbW is highly similar to that of SpoIIAA-SpoIIAB ( Supplementary Fig. S5).
In the interface of the RsbW dimer (surface-1), the 1 helix and 1 strand directly mediate the dimerization, forming an extended / fold [ Fig. 3(a)]. The 1 strands of two RsbW monomers form a cross -sheet through backbone hydrogen bonds [ Fig. 3(b)]. The 1 helix of the RsbW monomer interacts with the 1 helix and 1 strand of the other RsbW monomer in a symmetric manner [ Fig. 3(c)]. The interactions in the monoclinic and hexagonal structures result in accessible surface-area burials of 748.5 and 786.5 Å 2 and free-energy  changes (ÁG) of À10.6 and À8.1 kcal mol À1 , respectively, indicating that surface-1 is a biological binding interface. Two RsbV monomers bind to both sides of the RsbW dimer to form the RsbV-RsbW tetramer. Overall, three -helices (1-3) in RsbW interact with the l2 loop, l4 loop and a3 helix of RsbV (Fig. 4). Arg23, Asp42, Lys44/Ser48, Glu49 and Tyr118 of RsbW form hydrogen bonds to Asp23, Arg84/ Arg87, Tyr53, Ser56 and Ile91 of RsbV, respectively [Figs. 4(b) and 4(c)]. In the interactions, Glu49 of RsbW directly interacts with Ser56 of RsbV, which is phosphorylated by RsbW. The interactions between RsbV and RsbW in the monoclinic and hexagonal crystal structures result in accessible surface-area burials of 735.7 and 753.0 Å 2 and ÁG values of À7.4 and À7.6 kcal mol À1 on average, respectively [ Fig. 4(a)]. Overall, the RsbV-RsbW tetramers in the asymmetric units of the hexagonal and monoclinic crystals form the basic unit for complex assembly.
The conformation of the SpoIIAB dimer changes slightly when it binds SigF rather than SpoIIAA (Supplementary Fig.  S5; Campbell et al., 2002;Masuda et al., 2004). When the RsbW dimer in the RsbV-RsbW tetramer was superimposed onto SpoIIAB, SpoIIAB in complex with SigF (1.3 Å for 213 C atoms) showed a lower r.m.s.d. value than that with SpoIIAA (1.8 Å for 210 C atoms). The angles between the 1 helix of one monomer and the 2 helix of the other monomer were calculated to be 54.9, 53.7 and 50.6 in the superimposed structures of RsbV-RsbW, SpoIIAB-SigF and SpoIIAB-SpoIIAA, respectively ( Supplementary Fig. S5). These analyses indicate that the conformation of the RsbW dimer is closer to that of SpoIIAB-SigF than to that of SpoIIAA-SpoIIAB.

Octameric assembly of RsbV-RsbW
SpoIIAA-SpoIIAB, which is homologous to RsbV-RsbW, forms a heterotetramer. In the crystal structures of RsbV-RsbW the conformation of the heterotetramer showed a significantly reduced free energy, indicating that the tetramer is a basic assembly unit of the RsbV-RsbW complex (Fig. 4). However, RsbV-RsbW was estimated to be an octamer by SEC (Supplementary Fig. S6). To confirm the oligomerization of RsbV-RsbW, we determined the molar mass of the complex using MALS. In AF4-MALS experiments, the molar mass of full-length RsbV-RsbW was calculated to be 114.5 kDa, which corresponds to an octamer that comprises four RsbV molecules and four RsbW molecules [ Fig. 5(a)]. The molar mass of the truncated complex (RsbV 1-104 -RsbW 5-145 ) used for structure determination was also close to the size of an octamer [97.0 kDa; Fig. 5(b)].
To confirm the octameric assembly of RsbV-RsbW, we performed SAXS experiments. The scattering data for RsbV-RsbW were collected by exposing protein solution flowing along a capillary tube to X-rays to minimize damage to the protein by X-rays, and multiple scattering images were averaged to reduce the background noise [ Fig. 6(a)]. The scattering curves in a low-q region (Guinier region) fitted well to a straight line, indicating that RsbV-RsbW is in a monodisperse state without aggregation or inter-particle interference effects [ Supplementary Fig. S7(a)]. The radius of gyration (R g ) calculated from the slope of the linear fit within the Guinier region (R g,G ) was slightly higher for RsbV-RsbW (34.90 Å ) than for RsbV 1-104 -RsbW 5-145 (32.21 Å ), which is in agreement with the molecular size, indicating that the two RsbV-RsbW complexes are in the same oligomeric state ( Table 2). The p(r) function, which is a histogram of distances between all possible pairs of atoms within a particle, was derived from the whole range of scattering data using indirect Fourier transformation. The maximum dimension (D max ) of the p(r) function was 114.0 Å , and R g,p(r) calculated from the p(r) function (35.91 Å ) was correlated with the value obtained from the Guinier fit (R g,G ) ( Table 2). The p(r) function of RsbV 1-104 -RsbW 5-145 was similar to that of RsbV-RsbW [ Fig. 6(b)], whereas the values of D max and R g,p(r) were slightly lower than those of RsbV-RsbW, consistent with the molecular size ( Table 2 133.6 and 108.7 kDa, respectively (Table 2), indicating that both RsbV-RsbW complexes form a hetero-octamer in solution, in agreement with the AF4-MALS result. Overall, the MALS and SAXS parameters showed that both RsbV-RsbW and RsbV 1-104 -RsbW 5-145 exist in an octameric conformation without aggregation in solution.
Next, we searched for the unit of the RsbV-RsbW complex forming an octamer in the crystal structures. The asymmetric unit in the monoclinic crystal of the RsbV-RsbW complex contains two ball-shaped octamers, each of which is composed of two tetramer units [ Supplementary Fig. S8(a)]. The b1 strand of RsbV mainly mediates the dimerization of the RsbV-RsbW tetramers [ Supplementary Fig. S8(b)]. Asn4 and Val7 in the b1 strand of RsbV form hydrogen bonds to Asn/ Asn17 and Lys33 in the other RsbV in a symmetric manner [ Supplementary Fig. S8(b)]. The RsbV dimer is predicted to make crystallographic contacts with an accessible surface-area burial of 392.9 Å 2 and an ÁG of 1.9 kcal mol À1 . Another octamer unit is observed in both the monoclinic and hexa-gonal crystal structures. In the crystal structures, the RsbV-RsbW octamer forms a ribbon-shaped structure. RsbW forms a tetrameric core and binds four RsbV monomers, each of which lies outside the RsbW core [ Supplementary Fig. S8(c)]. His57/Gly134 and His132 of RsbW form hydrogen bonds to His132 and His57/Gly134 of the other RsbW symmetrically, resulting in an accessible surface-area burial of 280.1 Å 2 and a ÁG of À1.9 kcal mol À1 (surface-2) [ Supplementary Fig.  S8(d)]. Because the two binding interfaces of RsbW mediate the symmetric interaction, an accessible surface area of 560.1 Å 2 is buried and the free energy is decreased by 3.8 kcal mol À1 on dimerization of the RsbW dimer. Overall, structural analyses showed that the ribbon-shaped octamer is more suitable than the ball-shaped octamer for biological assembly. Structure of the RsbV-RsbW tetramer. (a) Overall structure of the RsbV-RsbW tetramer drawn as a ribbon diagram in two different orientations. Each monomer is colored differently. Two RsbV monomers individually bind to both sides of the RsbW homodimer. (b, c) Interactions between RsbV and RsbW. Residues of RsbV and RsbW that participate in the interaction are drawn as brown and pale green stick models, respectively. The red and blue dotted lines represent hydrogen bonds and hydrophobic interactions, respectively. the crystal structure of RsbV-RsbW suggested that the ribbon-shaped assembly is a biological unit ( Supplementary  Fig. S8). In SAXS analysis, the p(r) function of RsbV-RsbW exhibits a near-symmetrical peak pattern with a tail, which is characteristic of a flattened globular conformation [ Fig. 6(b)]. The p(r) function calculated from the crystal structure of the ribbon-shaped octamer fits well with those from the SAXS data of RsbV-RsbW, whereas the p(r) function from the ballshaped octamer does not [ Fig. 6(b)]. To visualize the envelope structure of RsbV-RsbW complexes, ab initio models were reconstructed from the SAXS data of RsbV-RsbW. Multiple models were built, and the most probable models were selected to improve the reliability of the final model. The reconstructed models of RsbV-RsbW and RsbV 1-104 -RsbW 5-145 appear to be flat ribbon-shaped conformations, which overlap better with the crystal structure of a ribbonshaped octamer rather than that of a ball-shaped octamer [Fig. 6(c) and Supplementary Fig. S7(b)]. The SAXS envelope structures revealed that RsbV-RsbW forms a ribbon-shaped octamer mediated by surface-2.

Discussion
SigB is an alternative sigma factor that regulates transcription in B. subtilis in response to environmental and energy stresses. Its activity is inhibited by the direct binding of RsbW and is regulated by the binding-partner switching of RsbW to SigB or RsbV. In the present study, the crystal structures and SAXS envelope structure clearly showed that RsbV and RsbW assemble into an octamer in solution. Initially, the crystal structure of the RsbV-RsbW complex showed the formation of a butterfly-shaped tetramer with a significant reduction in free energy (Figs. 3 and 4). The tetrameric form coincides with previous reports showing that RsbW predominantly exists as a homodimer in solution (Dufour & Haldenwang, 1994;Delumeau et al., 2002), while SpoIIAA-SpoIIAB, which is homologous to RsbV-RsbW, forms a stable heterotetramer. However, RsbV and RsbW were calculated to be a monomer and a tetramer, respectively, in monodisperse forms in MALS experiments (Fig. 5). The tetrameric assembly of RsbW was not changed on binding to RsbV or SigB, indicating that RsbW forms the stable core of a homotetramer (Fig. 5). Consistently, structural analyses of RsbV-RsbW, supported by SAXS and MALS experiments, revealed that the unique octameric assembly of RsbV-RsbW was mediated by RsbW. RsbV-RsbW was calculated to be an octamer in solution, and a ribbon-shaped octamer in the crystal structures of RsbV-RsbW overlaps well with the SAXS envelope structure (Figs. 5 and 6 and Supplementary Fig. S8). In the crystal structure of the RsbV-RsbW octamer, the two surface-2s strengthen the dimerization of the RsbV-RsbW tetramers by widening the binding area, although a single surface-2 is not sufficient to mediate the assembly [ Supplementary Figs  Assembly of RsbV-RsbW in solution. AF4-MALS profiles of (a) RsbV-RsbW, (b) RsbV 1-104 -RsbW 5-145 , (c) RsbW-SigB, (d) RsbV and (e) RsbW. The thick lines represent the molar masses of the proteins. All AF4-MALS profiles exhibit distinct single peaks, indicating that the protein solution does not contain any other oligomers or aggregates. The molecular masses of RsbV-RsbW and RsbV 1-104 -RsbW 5-145 were calculated to be 114.5 and 97.0 kDa, respectively, which are close to the theoretical molecular masses of the hetero-octamers RsbV-RsbW (120.8 kDa) and RsbV 1-104 -RsbW 5-145 (111.2 kDa). The molar masses of RsbV and RsbW were 12.3 and 66.7 kDa, indicating that RsbV and RsbW exist as monomers and tetramers in solution, respectively. The molar mass of RsbW-SigB was 115.8 kDa, which is close to that of an assembly of four RsbW and two SigB molecules.
The anti-anti-sigma factor RsbV, dephosphorylated under stress signals, releases SigB from the RsbW-SigB complex by hijacking the anti-sigma factor RsbW in a mutually exclusive manner with SigB (Dufour & Haldenwang, 1994;Voelker et al., 1996;Delumeau et al., 2002). The mechanism by which anti-sigma and anti-anti-sigma factors regulate the activity of sigma factors, known as partner switching of the anti-sigma factor, is well established in the regulation of B. subtilis SigF. SigF is activated in the early stage of B. subtilis sporulation (Margolis et al., 1991) and is regulated by the anti-sigma factor SpoIIAB and the anti-anti-sigma factor SpoIIAA (Yudkin & Clarkson, 2005). In the crystal structures of SpoIIAA-SpoIIAB (Masuda et al., 2004) and SpoIIAA-SigF (Campbell et al., 2002), a single SigF molecule and two SpoIIAA molecules are placed in the middle and on both sides of the SpoIIAB dimer, respectively. When the SpoIIAB dimers of the two structures were superimposed, a structural clash and electrostatic repulsion occurred because of the negatively charged residues Glu21 in SpoIIAA and Asp148 in SigF (Masuda et al., 2004). As ADP-bound SpoIIAB binds nonphosphorylated SpoIIAA with a higher affinity than SigF (Duncan et al., 1996), SigF is released from SpoIIAB in the presence of nonphosphorylated SpoIIAA (Duncan et al., 1996;Alper et al., 1994). The residues for the binding of the sigma factor and anti-anti-sigma factor, as well as the overall structures, are conserved between RsbW and SpoIIAB (Supplementary Figs. S3 and S5). Moreover, RsbW interacts with SigB in a 2:1 ratio like SpoIIAB and SigF [Fig. 5(c)] (Delumeau et al., 2002). Thus, the mechanisms by which anti-sigma and antianti-sigma factors regulate the activity of sigma factors may be similar in the two sigma/anti-sigma/anti-anti-sigma systems SigF-SpoIIAB-SpoIIAA and SigB-RsbW-RsbV. Notably, the residues at the clash point between the sigma factor and anti-anti-sigma factor under anti-sigma factor binding are conserved as negatively charged residues (Glu21 in RsbV and Glu148 in SigB; Supplementary Fig. S3). In the model structure of the RsbW-SigB complex, SigB is placed in the middle of the RsbW dimer [ Fig. 7(a)]. Although the RsbW surfaces for the binding of RsbV and SigB do not overlap, the structures of RsbV and SigB clash with each other on RsbW binding [ Fig. 7(b)], indicating that the binding of RsbV and SigB to RsbW is mutually exclusive. In the crystal structure of SAXS envelope structure of the RsbV-RsbW octamer. (a) X-ray scattering profiles of full-length RsbV-RsbW (triangles) and RsbV 1-104 -RsbW 5-145 (circles). Red and black solid lines represent SAXS curves calculated from the SAXS envelope structures ( 2 = 0.077 for full-length RsbV-RsbW and 0.179 for RsbV 1-104 -RsbW 5-145 ). The solid blue and dashed orange lines indicate theoretical SAXS curves calculated from ribbon-shaped and ballshaped crystal structures, respectively ( 2 = 8.311 for the ball-shaped model and 0.812 for the ribbon-shaped model). For clarity, each curve is shifted along the log I(q) axis. (b) p(r) function profiles of full-length RsbV-RsbW (red triangles) and RsbV 1-104 -RsbW 5-145 (blue circles). The solid blue and dashed orange lines indicate the theoretical p(r) function calculated from the ribbon-shaped and ball-shaped octamer models, respectively. The area under the curve was normalized to an equal area for easy comparison. (c) SAXS envelope structure of RsbV 1-104 -RsbW 5-145 . The SAXS envelope model was reconstructed under a P22 symmetry restraint and is superimposed with the ribbon-shaped crystal structure of the RsbV-RsbW octamer.
RsbV-RsbW, the RsbW dimer is additionally dimerized to form a homotetramer. Thus, four RsbV monomers or two SigB monomers are assembled onto a tetrameric core of RsbW in a mutually exclusive manner [Fig. 7(c)]. An increased understanding of the assembly is necessary to determine whether the RsbW core is required for the allosteric regulation of SigB activity.