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Cyclic-di-GMP and ADP bind to separate domains of PilB as mutual allosteric effectors

PilB is the assembly ATPase for the bacterial type IV pilus (T4P), and as a consequence, it is essential for T4P-mediated bacterial motility. In some cases, PilB has been demonstrated to regulate the production of exopolysaccharide (EPS) during bacterial biofilm development independently of or in addition to its function in pilus assembly. While the ATPase activity of PilB resides at its C-terminal region, the N terminus of a subset of PilBs forms a novel cyclic-di-GMP (cdG)-binding domain. This multi-domain structure suggests that PilB binds cdG and adenine nucleotides through separate domains which may influence the functionality of PilB in both motility and biofilm development. Here, Chloracidobacterium thermophilum PilB is used to investigate ligand binding by its separate domains and by the full-length protein. Our results confirm the specificity of these individual domains for their respective ligands and demonstrate communications between these domains in the full-length protein. It is clear that when the N- and the C-terminal domains of PilB bind to cdG and ADP, respectively, they mutually influence each other in conformation and in their binding to ligands. We propose that the interactions between these domains in response to their ligands play critical roles in modulating or controlling the functions of PilB as a regulator of EPS production and as the T4P assembly ATPase.


Introduction
The bacterial type IV pilus (T4P) is a cell surface appendage with versatile biological functions [1]. A single pilus, a filamentous polymer of thousands of pilins, extends several microns from the cell with a diameter of 6-9 nm [2]. It is known to function in many bacterial processes including biofilm formation and surface motility [3][4][5][6][7]. During biofilm formation, T4P has been demonstrated to facilitate bacterial attachment to biotic or abiotic surfaces during the early stages of biofilm development. Its retraction is known to power surface motility in a variety of Gram-negative bacteria including Myxococcus xanthus and Thermus thermophilus as well as Pseudomonas aeruginosa and Neisseria gonorrhea [5, [8][9][10][11][12]. The current model is that the distal end of an extended pilus can attach or tether to the surface of a substratum [5, 12,13]. The retraction or disassembly of the pilus at the proximal end of the cell body leads to the physical displacement of the bacterium [12,13]. The recurrent cycles of extension and retraction or assembly and disassembly result in sustained bacterial motility on solid surfaces [1,3,13]. It is known that the retraction of a single T4P can pull a force up to 150 pN, making T4P the strongest biological motor currently known [12,14]. The roles of T4P in both biofilm development and motility in a same bacterium are somewhat paradoxical, because motility is associated with the motile lifestyle, while biofilm represents sessility. These two lifestyles are hence considered to be mutually exclusive as alternate states of existence for bacteria. How the functions of T4P in these seemingly non-compatible processes are regulated in the same organism remains largely tenuous and enigmatic [15,16].

Expression and purification protein
Three CtPilB variants were expressed in Escherichia coli and purified in this study. The E. coli strains XL1-Blue (Stratagene) and BL21 (DE3) (Novagen) were used for the construction of expression plasmids and/or protein expression. All E. coli strains were grown in LB media at 37°C. When appropriate, 100 μg/ml of ampicillin was supplemented for the selection and maintenance of expression plasmids. Plasmid pKD129 was used for the expression of PilB N . For its construction, a PCR fragment was first obtained using primers PilB N _F (GCCATATGTCAGCAAAACTTGGTGA) and PilB N _R (GCCTCGAGTTCCGGGGCGTAGTAG). This fragment was digested with NdeI and XhoI and cloned into the same sites in pET-22b (Novagen) to construct pKD129. BL21 (DE3) was used as the host for pKD129 for the expression of PilB N . Plasmid pAS104 was constructed for the expression of PilB ΔN . A PCR was performed using primers CctPilB_trunc#1_F (GCGGATCCGCCCCGGAAAAGGGACTTGTT) and C_R-HindIII (TGACAAGCTTAGTGATGGTGATGGT GATG) with pAS101 [24] as the template. This fragment was digested with BamHI and HindIII and cloned into the same sites of pQE16 (Qiagen) to produce pAS104. Full-length PilB and PilB ΔN were expressed in XL1-Blue, All three proteins were purified by FPLC using Ni-NTA and SEC columns as was described [27], except that the activity buffer with 10% glycerol and no Zn 2+ was used as the gel filtration buffer. The apparent molecular weights (MWs) of proteins were determined using analytical size exclusion chromatography [27].

ITC experiments
All isothermal titration calorimetry (ITC) experiments were performed using a MicroCal PEAQ-ITC calorimeter (Malvern) at 25°C. All titrations were carried with a reference power of 10 μCal·s −1 and a 300 rpm stirring speed. All protein samples were dialyzed into activity buffer [27] using dialysis tubing with an 8 kDa molecular weight cut-off (MWCO) before their use in ITC experiment. 300 μl of a protein sample with or without a specified effector was loaded into the sample cell and a ligand was titrated into the sample cell from the syringe. Whenever an effector was included in the sample cell with the protein, it was incubated with the protein on ice for 15 min prior to being placed into the sample cell. The concentrations of the effectors used were 100 μM for cdG and 50 μM for both ATPγS and ADP. Three or more independent experiments were performed for each titration and the data from one representative experiment are presented in this paper. All samples and titrants were degassed at 4°C prior to their use in ITC experiments. cdG, ATPγS, and ADP were purchased from InvivoGen, Cayman Chemicals, and Research Products International, respectively.
When cdG was the ligand or titrant in the syringe, the following were the concentrations used for the ITC experiments. PilB ΔN and full-length PilB which are hexameric were diluted to a final concentration of 5.3 μM with activity buffer after dialysis and before their use in the sample cell. PilB N , which is monomeric, was diluted to a final concentration of 30 μM. The syringe contained cdG at 0.5 mM in activity buffer. Titrations were performed with a single 0.4 μl injection followed by 29 injections of 1 μl. The time interval between injections was 150 s.
When adenine nucleotides were used as titrants, the following were the concentrations used in the ITC experiments. After dialysis and before their use in the sample cell, PilB ΔN and full-length CtPilB were diluted to a final concentration of 15 μM. The syringe was loaded with either ATPγS or ADP at 1 mM concentration. Titrations were carried out with a single 0.4 μl injection followed by 39 injections of 1 μl of the ligand with time intervals of 150 and 120 s for PilB ΔN and full-length CtPilB, respectively.
Control titrations were performed for each ligand into activity buffer containing no protein. The heat from these control injections were subtracted from the data before the final analysis and curve fitting. All ITC data analyses were performed using the MicroCal PEAQ-ITC Analysis Software (Malvern) with a model of single set of identical ligand binding sites.

ATPase assays
The ATPase activities of PilB ΔN and PilB were analyzed by a malachite green (MLG)-based endpoint assay as previously described [27]. Assays were carried out in triplicates in activity buffer for 15 min at 54°C with 75 nM of PilB ΔN or PilB and ATP at specified concentrations. Controls had ATP at various concentrations but with no protein. The results shown were the averages and standard deviations from three independent experiments. If two samples had a P-value of <0.05 from the student t-test, they were considered to be significantly different statistically.

N-and C-terminal domains of CtPilB bind cdG and adenine nucleotides individually
Based on sequence alignment [34] (Supplementary Figure S1), many PilB proteins contain the MshE N -type cdG binding domain at their N termini besides the ATPase domain at their C termini [22][23][24][25][26]35]. Here, the Nand C-terminal domains of CtPilB were examined for their ability to individually bind their respective ligands. First, the MshE N equivalent of CtPilB was analyzed for its binding of cdG. Residues 1-146 of CtPilB (PilB N ), corresponding to the cdG binding domain of MshE (Supplementary Figure S1), was expressed in E. coli with a 6×His tag at its C-terminus and purified by FPLC using Ni-NTA and gel filtration columns (Supplementary Figure S2). Analytical size exclusion chromatography (SEC) estimated that the purified PilB N has an apparent MW of 21 kDa (Supplementary Figure S2). This is in comparison with 19.5 kDa, the theoretical MW of the PilB N with the 6×His affinity tag, indicating that PilB N is monomeric in solution. As shown in Figure 1A, the binding of PilB N with cdG, which was analyzed by ITC [36], was exothermic as observed for that of MshE N [34]. Analysis of the ITC results indicated that PilB N binds cdG with an apparent K D of 107 nM and a 1 : 1 stoichiometry. This association has a ΔH of −7.4 kcal/mol and a calculated −TΔS value of −2.1 kcal/mol (Table 1). These negative values indicate that the binding interactions between PilB N and cdG are driven by favorable changes in both enthalpic (ΔH) and entropic (ΔS) forces [37][38][39]. This is consistent with both the hydrophilic and hydrophobic interactions of MshE N with cdG observed in their co-crystal structure [18]. The change in free energy (ΔG) for PilB N -cdG binding is −9.5 kcal/mol (Table 1), indicating a fairly favorable interaction thermodynamically. For the purpose of comparison in scale, the free energy (ΔG) released from the hydrolysis of ATP is −8.48 kcal/mol or −35 kJ/mol [40].
Next, the ATPase domain of CtPilB at the C terminus was examined for its interaction with adenine nucleotides. A truncated CtPilB (PilB ΔN ) without the first 139 residues (Supplementary Figure S1) was expressed in E. coli with a 6×His affinity tag fused to its C-terminus. It was purified by FPLC and examination by analytical SEC estimated its apparent MW to be 305 kDa (Supplementary Figure S2). This is close to six times of the calculated MW of 53.8 kDa for the fusion protein, indicating that PilB ΔN without the cdG binding domain still exists as a hexamer like the full-length CtPilB [27]. Initially, ATP was used as a ligand to analyze its binding to PilB ΔN by ITC. The results from the titration (Supplementary Figure S3A), however, suggested that PilB ΔN is likely active as an ATPase (also see later sections), and the heat released from ATP hydrolysis under our experimental conditions interfered with productive data analysis. To circumvent this issue, the ATP analog ATPγS was used as a ligand instead ( Figure 1B). The thermogram showed no detectable hydrolysis of ATPγS and  Table 1.
curve fitting indicated an apparent K D of 5.2 μM with ∼2 ATPγS binding sites per PilB ΔN hexamer. The change in free energy is −7.2 kcal/mol, the sum of a ΔH of −11.5 kcal/mol and −TΔS of 4.3 kcal/mol ( Table 1).
Binding of ADP to PilB ΔN was similarly analyzed ( Figure 1C). Curve fitting resulted in an apparent K D of 7.3 μM and ∼2 ADP binding sites per PilB ΔN hexamer. The change in free energy (ΔG) is −7.0 kcal/mol, a value similar to that for the binding of ATPγS. These results indicate that the C-terminal ATPase domain of PilB, which is likely active as a hexameric ATPase (Supplementary Figure S2), can bind adenine nucleotides on its own without the cdG binding domain. It is noted that there are differences between the binding of ATPγS and ADP with PilB mechanistically. The respective ΔH values for these two nucleotides, −11.5 and −16.2 kcal/mol, are significantly different statistically ( Figure 1B,C and Table 1 Figure S4) indicate that the N-and C-terminal domains of PilB are specific for their respective ligands. That is, the N terminus of PilB binds cdG while its C-terminal ATPase domain interacts with adenine nucleotides as expected for an ATPase. It is inferred from the ITC analysis that the monomeric PilB N binds cdG with a 1 : 1 stoichiometry while the hexameric PilB ΔN has two binding sites for ATPγS and ADP under our experimental conditions. The thermodynamic signatures suggest that ATP and ADP bind to PilB through distinct binding processes or mechanisms with concurrent but unique changes in protein conformation [37][38][39].

Full-length PilB binds cdG and adenine nucleotides with higher affinity
While the individual N-and C-terminal domains of PilB can bind to their respective ligands specifically, it is not known if the presence of one domain influences ligand binding by the other. Here, the full-length PilB was expressed and purified for the examination of its binding of cdG and adenine nucleotides by ITC. As shown in Figure 2A, the binding of cdG to the full-length PilB has a ΔG of −9.9 kcal/mol, which is as exergonic as PilB N -cdG binding with a ΔG of −9.5 kcal/mol (Table 1). Analysis and curve fitting of the data indicated a K D of 53 nM with a binding stoichiometry ∼6 cdG molecules per PilB hexamer (Table 1). This K D value is about half of that by PilB N (Table 1 and Figure 2A Table 1) also suggests differences between the The apparent dissociation constant (K D ) is in micromolar (μm) except those for cdG (*) which is in nanomolar (nM). ΔG, ΔH, and TΔS are in kilocalorie per mole (kcal/mol). N is the number of ligand binding site per protein.
binding process of PilB N and full-length PilB to cdG. While the ΔG remains largely unaffected, the ΔH here is −14.5 kcal/mol, which is significantly higher than −7.4 kcal/mol for PilB N . In even starker contrast, the values for −TΔS were negative for PilB N but positive for full-length CtPilB (Table 1). This suggests that the binding of cdG to full-length PilB involves or brings about additional and more favorable hydrophilic interactions than its binding to the N-terminal domain alone [37][38][39]. These favorable interactions help to overcome the unfavorable changes in entropy (ΔS) and likely explain the increase in affinity of the full-length PilB for cdG. The full-length PilB was similarly examined for its binding with ATPγS and ADP by ITC ( Figure 2B,C). The thermograms indicated clear exergonic reactions for the binding of both nucleotides to the full-length PilB with ΔG values similar as those for PilB ΔN (Table 1). Curve fitting of the data resulted in K D values of 3.8 and 4.3 μM for the binding of ATPγS and ADP to PilB, respectively. In comparison, the respective K D 's for the binding of these nucleotides by PilB ΔN are ∼40% and 80% higher ( Table 1), suggesting that the presence of the MshE N domain increases the binding affinity of these nucleotides to the ATPase domains. The binding signatures ( Figure 2B,C and Table 1) suggest that the increase in the affinity of full-length PilB for these nucleotides may be attributable to less unfavorable entropic or hydrophobic forces. That is, the binding by the full-length protein tends to have slightly less change in −TΔS values as compared with PiB ΔN . The 2 : 6 stoichiometry of ADP and PilB binding here (Table 1) differs from the 4 : 6 ratio reported for Geobacter sulfurreducens PilB (GsPilB) [25], perhaps because differences in the catalytic mechanism of these PilBs and/or the particular experimental conditions in these experiments. It is interesting to note that signs of ATP hydrolysis were again observed with the full-length CtPilB protein as indicated by the wider opening near or slower return of the power differential (DP) to the baseline in ITC experiment (Supplementary Figure S3B). However, the reduced interference by the heat released from ATP hydrolysis in comparison with PilB ΔN (Supplementary Figure S3A) allowed an isotherm to be fitted to the data set with a K D of 8.5 μM and a stoichiometry of 2 ATP molecules per PilB hexamer (Supplementary Figure S3B). While this fitting should be taken with a grain of salt, these results provided indications that the full-length PilB may be less active than PilB ΔN as an ATPase. In summary, the results here indicated that the full-length PilB binds both cdG and adenine nucleotides with higher affinity than its separate domains in isolation. The most significant change in affinity occurs for cdG, followed by that for ADP. The binding of cdG results in more drastic change in the full-length protein than in PilB ΔN with regard to both hydrophilic interactions (ΔH) and protein conformation (ΔS). In contrast, the binding of ATPγS and ADP may result in less conformational alterations in the full-length protein than in PilB ΔN . All six cdG binding sites in the PilB hexamer are accessible for ligand binding while only two to three of the adenine nucleotide-binding sites are occupied under equilibrium conditions in our experiment.

Presence of ADP readies PilB for cdG binding
There is evidence that the binding of adenine nucleotides or lack thereof can influence the activity of MxPilB in signaling or promoting the production of EPS [28]. It is, therefore, possible that the presence of adenine nucleotides may impact the binding between PilB and cdG as the latter is the key signaling second messenger in biofilm regulation [31]. Here we examined the effect of ATPγS and ADP at saturating concentrations on the binding of cdG to PilB. Experimentally, PilB was pre-incubated with an effector, either ATPγS or ADP, and cdG was then titrated into the sample cell in ITC analysis. In these experiments, the effector was present at 50 μM, which is more than 10 times of their apparent K D value (Table 1 and Figure 2).
The thermogram for the experiment in the presence of ATPγS is shown in Figure 3A. Analysis indicated a good fit of an isotherm to the data with a K D of 58 nM for cdG. This is similar with the K D of 53 nM without ATPγS (Table 1), showing that ATPγS has no obvious effect on the affinity of PilB for cdG. Likewise, the binding stoichiometry and other thermodynamic properties of PilB-cdG interactions are not significantly affected by the presence of ATPγS. For example, the ΔG remains at 9.9 kcal/mol, regardless of the presence or absence of ATPγS. ΔH values were similar at −14.5 and −14.0 kcal/mol in the absence and presence of ATPγS, respectively (Table 1). These results indicate that the presence of ATPγS has negligible effect on the binding of PilB to cdG thermodynamically and stoichiometrically.
On the other hand, the results from ITC experiments in the presence of ADP indicate that ADP enhances the binding of PilB to cdG. As shown in Figure3B, an isotherm fitted to the data set resulted in a K D of 18 nM, one-third of the K D value of 53 nM in the absence of ADP (Table 1). The thermodynamic binding signature ( Figure 3C) suggests that the increase in cdG affinity in the presence of ADP may be attributable to less unfavorable entropic or hydrophobic forces. While the values for both ΔH and ΔG shifted little (Table 1), there were significant differences in changes in entropy (ΔS) ( Table 1). The −TΔS value is 1.5 and 4.6 kcal/mol with and without ADP, respectively. This three-fold change in ΔS correlates with the three-fold enhancement in the binding affinity of PilB for cdG in the presence of ADP. In the presence of both ADP and ATPγS, the binding parameters for cdG were essentially identical with those observed in the presence of ADP alone (data not shown). These results suggest that the presence of ADP enhances the binding of PilB to cdG, most likely by minimizing unfavorable changes in entropy correlated with protein conformation [37][38][39]. We, therefore, conclude here that it is the binding of ADP, but not ATP, that allosterically impacts or enhances the binding of PilB to the signaling molecule cdG. Thermodynamically, the binding of ADP to PilB seems to reduce the entropic barrier for the binding of cdG. Among the three PilB ligands examined, ADP results in the most drastic conformational changes in PilB when it binds. This is evident from the most negative TΔS value at −8.1 kcal/mol for the binding of ADP to PilB as compared with −2.9 and −4.6 kcal/mol for ATPγS and cdG. As has been mentioned, the −TΔS for the binding of cdG to PilB is reduced from 4.6 to 1.5 kcal/mol by the presence of ADP. In other words, it requires about two times less entropic energy for PilB to transition from a cdG-unbound state to a cdG-bound state in the presence of ADP. The binding of ADP, therefore, appears to pre-configure PilB to a conformational state more ready to accommodate cdG than a PilB in an apo state. This preparative or pre-configuration process of PilB for cdG binding appears only induced by the presence of ADP, but not ATPγS.

Presence of cdG decreases the affinity of PilB for ADP
There is genetic evidence suggesting that the binding of cdG to PilB can modulate its function in T4P assembly [31,33,34] and possibly its interactions with adenine nucleotides. Here, we determined if cdG could influence the binding of PilB to adenine nucleotides by the PilB ATPase. These experiments were conducted by the preincubation of PilB with cdG at 100 μM, a concentration more than 40× of the K D for its binding to CtPilB ( Table 1). The thermogram for the binding of ATPγS is shown in Figure 4A, which indicated that cdG did not affect the binding of PilB to ATPγS. Curve fitting produced a K D of 4.0 μM ( Figure 4A), for example, which is indistinguishable from the K D of 3.8 μM without cdG (Table 1). In addition, the ΔG, ΔH, ΔS, and N values remain virtually unchanged regardless of the presence or absence of cdG (Table 1). These results indicate that cdG has no discernible thermodynamic effect on the equilibrium binding of ATPγS to PilB under our experimental conditions.
In contrast, ITC results with ADP indicate that its binding to PilB is significantly impacted by the presence of cdG. As shown in Figure 4B, the fitting of an isotherm to the ITC data resulted in a K D of 9.0 μM with cdG as an effector. This is significantly different from the K D of 4.3 μM in the absence of cdG ( Table 1). The thermodynamic signatures clearly indicate that the presence of cdG drastically influenced the binding process or mechanisms between PilB and ADP [37][38][39]. The change in enthalpy (ΔH) for ADP binding stands at −46.2 kcal/mol in the presence of cdG and −15.4 kcal/mol in its absence. These differences suggest that cdG binding significantly enhanced the hydrophilic and/or ionic interactions between PilB and ADP [37][38][39]. On the other hand, the changes in entropy (ΔS) in the presence of cdG made the binding of ADP much less favorable due to unfavorable entropic interactions ( Table 1) presence of cdG; this is in comparison with a −TΔS value of only 8.1 kcal/mol without cdG. In other words, the presence of cdG enhanced favorable hydrophilic interactions between PilB and ADP by two-fold as indicated by the more negative value of ΔH. This enhancement, however, is offset by a four-fold less favorable change in entropy which in essence correlates with hydrophobic and conformational changes in protein [37][38][39]. We may infer from these results that when PilB is bound to cdG, it assumes a conformation that requires more drastic changes to accommodate ADP. In other words, the binding of cdG may configure PilB to a state with a lower affinity for the binding of ADP because of a higher conformational barrier. This is in contrast with the earlier conclusion that the binding of ADP as an effector lowers the conformational barrier and raises the affinity for PilB to bind cdG.

Removal of the N-terminus increases ATPase activity of PilB
The early results from the ITC experiments with ATP suggested that the N-terminal truncated PilB ΔN is likely an active enzyme, perhaps with higher ATPase activity than its full-length counterpart. We first analyzed the ATPase activity of PilB ΔN in comparison with the full-length protein by an endpoint assay at ATP concentrations from 0.1 to 3.0 mM ( Figure 5). The ATPase activity of full-length PilB increased with increasing ATP concentrations up to 1.0 mM and it declined at concentrations beyond 2.0 mM ATP as was previously observed [27]. The ATPase activity of the N-terminal truncated PilB showed a similar concentration dependency as the full-length protein. That is, the overall ATPase profile of PilB ΔN has an incline, a plateau and a decline over the tested ATP concentration range. On the other hand, PilB ΔN displayed consistently and statistically higher activities between 33% and 50% than the full-length protein in both the incline and the plateau phases at ≤2.0 mM ATP. In the declining phase at 2.5 and 3.0 mM ATP, the differences are no longer statistically significant although PilB ΔN still appeared slightly more active under our experimental conditions. These results lead to the conclusion that the N-terminus of CtPilB has an inhibitory effect on the ATPase activity of the full-length protein. This conclusion, which is supported by the observations in the ITC experiments (Supplementary Figure S3) is consistent with the notion that the binding of cdG to the N-terminus of PilB can regulate the ATPase activity endowed by the C-terminus.
Since cdG binds to the N-terminus of CtPilB and influenced the binding of ADP, we next examined if this signaling molecule could regulate the ATPase activity of CtPilB. For this experiment, we used cdG concentrations at 0, 2, and 200 μM and observed no difference in ATPase activity by an endpoint assay (data not shown). We further analyzed the ATPase activity of PilB by kinetic experiments using ATP at concentrations of 0.5 and 1.0 mM (Supplementary Figure S5). Although it appears that the ATPase activity of PilB at both 0.5 and 1.0 mM ATP was slightly higher in the presence of cdG than in its absence, these small differences are not statistically significant. These results are consistent with published observations where only slight differences were observed in the ATPase activity of MshE in vitro in the absence and presence of cdG [33]. These results here ( Figure 5 and Supplementary Figure S5) indicate that the N-terminal MshE N domain of CtPilB exerts an inhibitory effect on the ATPase activity of PilB, although cdG binding has negligible effect on the hydrolysis of ATP in vitro under our experimental conditions.

Discussion
Here, we used C. thermophilum PilB to study its interactions with two types of ligands. The first is cdG, a critical bacterial second messenger that regulates biofilm formation. The second are adenine nucleotides, which are the substrate and product of the PilB ATPase. We demonstrate that the N-and C-terminal domains of CtPilB on their own are sufficient for the binding of their respective ligands. These bindings are specific such that the C terminus binds only adenine nucleotides but not cdG while the N terminus has a strong affinity for cdG without detectable binding to ADP or ATPγS. The full-length PilB binds all ligands with higher affinity than its individual domains in isolation, indicating communications between these domains and potential allosteric effects of the different ligands on the functionality of the protein. Results indicate that there is indeed a mutual or reciprocal effect between ADP and cdG binding, although no effect was detected between ATPγS and cdG. More specifically, CtPilB displayed an increased affinity for cdG in the presence of ADP but showed decreased affinity for ADP in the presence of cdG. Enzymatically, an N-terminus truncated variant of CtPilB is more active as an ATPase than its full-length counterpart, yet the presence of cdG had negligible effect on ATP hydrolysis by the wild-type CtPilB in vitro.
As has been discussed earlier, MxPilB and TtPilF possess the MshE N domain at their N-terminus and belong to the MshE N + -type category of T4P assembly ATPases (Supplementary Figure S1) [34]. In both cases, they are known to regulate the production of EPS, in addition to or independently of their function in T4P biogenesis and motility [28,29]. TtPilF was found to be phosphorylated on two residues, T368 and S372, which are within a conserved MshE N domain (Supplementary Figure S1) [29]. Non-phosphorylatable mutations of these two residues were found to result in changes in biofilm and EPS phenotypes without any effect on piliation or twitching motility [29]. MxPilB was discovered to be a signaling protein in the regulation of EPS production upstream of a chemotaxis-like signal transduction pathway [28,41]. More specifically, a MxPilB mutant variant with a substitution in the Walker A box (K327A) is constitutively active as a regulator of EPS production despite its lack of ATPase activity and inability to support pilus assembly or T4P-dependent motility [28].
In vitro studies suggested that it is the adenine nucleotide-free or the apo form of PilB that actively signals EPS production [28]. These results indicate that MshE N + -type PilB ATPases, besides their role in T4P assembly, can function as regulators of EPS production for the development of bacterial biofilm.
The locations of PilB mutations in T. thermophilus and M. xanthus with effects on EPS production suggest communications between the N-and the C-terminal domains of PilB. The two TtPilB residues implicated in EPS regulation reside within a conserved MshE N domain immediately N terminal to its ATPase domain (Supplementary Figure S1) [29,35]. In contrast, the two mutations in MxPilB that led to constitutive EPS signaling are located in the Walker boxes within the ATPase domain [28]. While the mechanism of PilB signaling remains to be elucidated, these observations suggest that alteration in either the N-terminal MshE N domain or the C-terminal ATPase domain can drastically change the signaling properties of PilB. In other words, whatever the signaling mechanism may be, there is close communication between the N and the C termini of the protein because changes in either can significantly alter the regulatory outcome of PilB in signaling EPS production.
Because the N-and the C-terminal domains of the MshE N + -type PilB can bind to their distinct ligands individually, it is reasonable to assume the binding of one ligand to one domain can allosterically affect the conformation of and the ligand binding by the other domain. This is indeed manifested by the mutual allosteric effects of cdG and ADP as determined by their binding to CtPilB. There are significant changes in the mechanisms of binding of one in the presence of the other as indicated by their respective thermodynamic binding signatures (Table 1). In the presence of ADP, the binding cdG to PilB displayed a three-fold decrease in −TΔS (1.5 vs 4.6 kcal/mol), indicating that the binding of ADP lowered the entropic barrier for the binding of cdG. On the other hand, when PilB was pre-incubated with cdG, the binding of ADP required about a five-fold increase in −TΔS (39.4 vs 8.1 kcal/mol). This indicates that the binding of cdG significantly increased the entropic barrier for ADP binding. These changes in ΔS are reflected in the binding affinity because ADP decreased the K D of PilB for cdG from 53 to 18 nM while cdG increased the K D of PilB for ADP from 4.3 to 9.0 μM. While cdG and ADP have the opposite effect on the binding of the other, these observations established a mutual allosteric relationship between the binding of these two ligands.
The dichotomy of the opposite effect by ADP and cdG on the binding of the other might appear surprising but it does not defy logic that governs biological processes. In the two-state model for the activity of a signaling GTPase, a G-protein exists in either a GTP-bound and actively signaling state or a GDP-bound and inactive conformation [42]. In the GDP-bound state, the protein tends to have a higher affinity for GDP/GTP exchange factors (GEFs) [42,43]. That is, the association with GDP increases the affinity of a G-protein for GEFs. On the other hand, once a GEF binds, it catalyzes the release of GDP from the G-protein to facilitate the binding of the same pocket by GTP. In other words, the binding of GDP to a G-protein favors the binding of a GEF, but the association of a GEF reduces the affinity of the G-protein for GDP [42,43]. The ultimate outcome from these interactions is the conversion of the GDP-bound inactive protein to the GTP-bound actively signaling state. This scenario is analogous to the opposite effect of cdG and ADP on the binding of each other we observed here. That is, the presence of ADP enhances the binding of cdG while the binding of cdG decreases the affinity of PilB for ADP ( Figure 6) [44]. While the biological relevance of this dichotomy in the case of G-proteins is clear, the significance or relevance of the allosteric interactions between cdG and ADP in our case remains to be fully elucidated. It is pertinent to note here that the signaling conformation of MxPilB was proposed to correspond with the adenine nucleotide-free state of PilB [28]. One possible explanation for the dichotomous effect between cdG and ADP could be that the association of ADP primes PilB for cdG binding as GEF does a G-protein for GTP ( Figure 6). The full occupancy of the cdG binding sites on PilB, in turn, leads to the release of ADP to configure PilB to its EPS signaling conformation. That is, for the regulation of EPS production, PilB may use its cdG-binding domain for signaling output while the C-terminal domain primarily functions for allosteric modulation of the signaling domain. In this scenario, the association of ADP with the regulatory domain affects the binding of cdG to the output domain. In a simple model, the outcome from these interactions leads to the attainment of an actively signaling PilB molecule which is cdG-bound without any adenine nucleotide ( Figure 6). The non-phosphorylatable mutations in TtPilF [29] may influence the binding of cdG and/or domain-domain interactions that impact the attainment of this actively signaling conformation by TtPilF.
The binding stoichiometries of PilB with ADP and ATPγS are consistent with the rotary mechanisms of catalysis for this ATPase [12,23,25,26]. The ATPase domains of PilB are hexameric with a two-fold symmetry in crystal structures, and the two protomers at the opposite corners of the hexameric ring assume the same conformation [12,23,25]. These three pairs of protomers are proposed to represent distinct steps in ATP hydrolysis propagated through this ring ATPase by rotations. One pair is proposed to be in an ATP-bound and hydrolysis ready state, another in an immediate post-ATP-hydrolysis state with the last pair in an ADP-bound state poised for ADP/ATP exchange. Our results indicated that the catalytically active CtPilB and PilB ΔN both bound approximately two ADPs per hexamer (Table 1) in its activity buffer. Similarly, two ATPγS molecules are likely bound to each PilB hexamer (Table 1) with the additional occupancy accounted for by the contaminating ADP in the commercially available ATPγS which can contain up to 10% of ADP. The variations in PilB is inactive in EPS signaling when it is associated with ADP. In this ADP-bound state, however, PilB has high affinity for cdG and it has a high probability to bind cdG. The binding of cdG, in turn, results in a decrease in the affinity of PilB for ADP and the release of ADP leads to the PilB-cdG complex to its active EPS-signaling conformation. The dissociation of cdG inactivates PilB in EPS signaling and may simultaneously facilitates the ATP hydrolysis cycle by PilB. The left side of this model is functionally analogous to the conversion of a G-protein from a GDP-bound and inactive signaling state to GTP-bound and active state which is catalyzed by GEF. apparent stoichiometry by CtPilB (N = 2.8) and PilB ΔN (N = 2.4) may be accounted for by their differing affinities for ADP under our experimental conditions. That is, the full-length protein, which displays a higher affinity for ADP, may have a slightly higher number of binding sites occupied by ADP than PilB ΔN under conditions where ADP is not saturating. The binding stoichiometry observed here can, therefore, be explained by the proposed rotary mechanisms of catalysis for PilB [12,23,25,26].
At the enzyme level, the N-terminal truncated CtPilB is more active as an ATPase than its full-length counterpart ( Figure 5). This is in contrast with N-terminal truncated TtPilF variants which showed no significant change in activity from the wild type [35]. This perhaps relates to differences in the specific points of truncations and to the architecture of the proteins in question. TtPilF has three tandem MshE N -like domains at its N-terminus while the PilB from most T4P systems has only one such domain [29,35,45,46]. In addition, we observed that two deletions that removed additional residues from CtPilB resulted in proteins with very low ATPase activity (data not shown). It is known that the crystal forms of the ATPase domain of TtPilF is inactive as an ATPase [22,23]. Somewhat unexpectedly, cdG did not affect the ATPase activity of full-length CtPilB under our experimental conditions (Supplementary Figure S5), despite its effect on ADP binding ( Figure 4 and Table 1). On the other hand, this is consistent with the observations that the low ATPase activity of VcMshE and GsPilB in vitro was affected by cdG only to a very limited extent [33] or not at all [25]. The biological and biochemical relevance of these observations in vitro is not clear. It is possible that these somewhat puzzling results are due to the lack of interacting partners for PilB in vitro and their resulting physical or mechanical constraints on the freedom of movement by PilB domains in vivo. In other words, as the T4P assembly motor, PilB performs mechanical work within the T4PM using energy harvested from ATP hydrolysis. In the PilB-only system here, the protein-protein interactions that apply such physical constraints and mechanical loads in vivo are absent. This absence provides one possible explanation for the lack of any observable effect of cdG on the ATPase activity of PilB. A change in load may also explain the increase in ATPase activity of the N-terminal truncated PilB ( Figure 5). That is, the removal of the MshE N domain may decrease the mass that has to be displaced continuously when a PilB hexamer hydrolyzes ATP by the proposed rotary mechanism of catalysis [23][24][25][26]. Further investigations are necessary to fully understand how ATP hydrolysis by PilB is coupled to T4P assembly and how the dual and paradoxical functions of PilB in T4P biogenesis and EPS signaling are controlled in vivo.

Author Contributions
Both K.J.D. and Z.Y. designed research, analyzed data, and wrote the manuscript. K.J.D. performed research and collected data.