Abstract
Creating new bacterial strains in which carbon and nitrogen metabolism are uncoupled, is potentially very useful for optimizing yields of microbial produced chemicals from renewable carbon sources. The mechanisms, however, that balance carbon and nitrogen consumption in bacteria are poorly understood. Recently, α-ketoglutarate (αKG), the carbon substrate for ammonia assimilation, has been observed to inhibit Escherichia coli enzyme I (EI), the first component of the bacterial phosphotransferase system (PTS), thereby providing a direct biochemical link between central carbon and nitrogen metabolism. Here we investigate the EI-αKG interaction by NMR and enzymatic assays. We show that αKG binds with a KD ~ 2.2 mM at the active site of EI, acting as a competitive inhibitor. In addition, we use molecular docking simulations to derive a structural model of the enzyme-inhibitor complex that is fully consistent with NMR and analytical ultracentrifugation data. We expect that the EI-αKG structure presented here will provide a starting point for structure-based design of EI mutants resistant to αKG.
Introduction
Investigating the mechanisms by which cells integrate information from multiple intra- and extracellular nutrient-sensing pathways is an important aspect of modern biochemistry. In humans, undesired metabolic imbalances can lead to obesity, diabetes and cancer (1,2). In bacteria, efficient reprogramming of metabolic pathways can be exploited to produce valuable products, including biodegradable plastics (3) and biofuels (4–6).
A major contribution to this area of research has recently been provided by Doucette et al. (7) who showed that α-ketoglutarate (αKG), the carbon substrate for ammonia assimilation which accumulates in E. coli (as well as in other prokaryotic and eukaryotic cells (8)) under conditions of nitrogen limitation, directly blocks glucose uptake across the bacterial membrane by inhibition of enzyme I (EI). Autophosphorylation of EI by phosphoenolpyruvate (PEP) is the first step in the bacterial phosphoenolpyruvate:sugar phosphotransferase system (PTS), a signal transduction pathway in which phosphoryl transfer via a series of bimolecular protein-protein interactions is coupled to active transport of sugars across the membrane (9). Inhibition of EI by αKG therefore provides a direct regulatory link between central carbon and nitrogen metabolism in E. coli, and represents one of the few documented biochemical mechanisms to date whereby bacterial cells regulate the transport of one elemental nutrient in response to the availability of another. Thus, obtaining structural insights into the inhibition of EI by αKG may serve as a model for more complex cases relevant to eukaryotic biology, and may provide the basis for engineering new bacterial strains in which carbon and nitrogen metabolism are uncoupled. Such strains may be helpful for maximizing the efficiency of microbial overproduction of bioderived molecules where conditions of nitrogen limitation are used to force carbon metabolism into non-physiological pathways (10–12).
Here we present the structural characterization of the EI-αKG interaction. Using biochemical assays and NMR titration experiments, we demonstrate that αKG and PEP compete for the same binding site on the C-terminal domain of EI. On the basis of these results, we use molecular docking simulations to propose a structural model for the EI-αKG complex which is in perfect agreement with the effects of αKG on the NMR spectra and sedimentation properties of EI.
Results and Discussion
NMR spectroscopy
The functional form of EI is a ~128 kDa dimer of identical subunits comprising two structurally and functionally distinct domains connected to one another by a long helical linker (13). The N-terminal domain (EIN, residues 1–249) contains the site of phosphorylation (His189). The C-terminal domain (EIC, residues 261–575) is responsible for dimerization and contains the binding site for PEP. We have investigated the interaction of αKG with the isolated EIN and EIC domains by NMR spectroscopy, and the results are summarized in Figure 1. Addition of 4 mM αKG to the protein samples does not alter the 1H-15N TROSY spectrum of EIN (Figure 1a) but results in substantial changes in the EIC spectrum (Figure 1b), indicating that the EI-αKG interaction occurs exclusively within the C-terminal domain. Analysis of the 1HN/15N chemical shift perturbation (ΔH/N) profile generated by the inhibitor on the combined 1HN/15N chemical shifts of EIC yields an equilibrium dissociation constant (KD) of ~2.2 ± 0.2 mM for the EI-αKG complex (Figure 1e), which is ~6 times larger than the Km reported for the EIC-PEP interaction (~0.35 mM (14)). The ΔH/N profiles at near-saturating concentrations of PEP and αKG are very similar (Figure 1d) with αKG inducing the largest chemical shift perturbations at the binding site for PEP (Figure 1c). These data suggest that PEP and αKG compete for the same binding site on EIC, in contrast with the previously reported noncompetitive mechanism proposed for EI inhibition by αKG (7).
Inhibition assay
To investigate whether αKG affects the stability of the EIC-PEP complex, the ability of EIC to hydrolyze PEP (14) was assayed in the presence of 0, 2 and 4 mM αKG. The resulting kinetic data are reported in Figure 2, and indicate that αKG efficiently inhibits the hydrolytic activity of the enzyme. Fitting the enzymatic data to a competitive inhibition model (eq. 3) yields a Km of 0.3 ± 0.1 mM and a KI of 2.2 ± 0.5 mM (Figure 2a), which are in excellent agreement with the Km value previously reported for the EIC-PEP interaction (14) and with the KD for the EIC-αKG complex obtained by NMR titration experiments (this work), respectively. In contrast, a much poorer fit is obtained when a non-competitive inhibition model (eq. 4) is used to interpret the enzymatic data (Figure 2b), confirming that formation of the EIC-αKG complex disrupts the interaction of EI with PEP.
The Km and KI values (0.3 and 2.2 mM, respectively), which correspond to the equilibrium dissociation constants for the EIC-PEP and EIC-αKG complexes, respectively, were used to calculate the effect of increasing concentrations of αKG on the EI-PEP complex at physiological concentrations of enzyme, substrate and inhibitor. This simulation reveals that 4 mM αKG is sufficient to reduce the percentage of intracellular EI bound to PEP from ~50% to ~25% (Figure 2c), and this value becomes even lower (~15%) when the concentration of αKG reaches 10 mM (which corresponds to the intracellular concentration of αKG measured in E. coli cultures grown under nitrogen-poor conditions (7)).
Docking simulation
Taken together, the chemical shift perturbation and enzymatic assay data clearly indicate that PEP and αKG compete for the same binding site on EIC. In addition, the backbone amide (1DNH) residual dipolar couplings (RDCs) measured on samples of weakly aligned EIC and EIC-αKG complex are highly correlated (Figure 1f), indicating the absence of any significant αKG-induced conformational rearrangements in EIC that could result in allosteric disruption of the EIC-PEP interaction. Thus, a structure for the EIC-αKG complex can be obtained by molecular docking of an αKG molecule into the EIC binding site for PEP. Docking simulations with AutoDock 4.0 (33) were performed as described in Methods, and the resulting EIC-αKG complex is compared to the EIC-PEP structure in Figure 3. As expected from the close similarity of the chemical structures of the two molecules (Figure 3a), docking results show that PEP and αKG adopt a similar binding mode on EIC. Indeed, for both ligands, the C1 carboxylic group is involved in hydrogen-bonding interactions with the backbone amides of Asn454 and Asp455 (Figures 3b,c), while the carbonyl group and the C5 carboxylic functionality of αKG perfectly overlap with the ethene and phosphoryl groups of PEP, respectively (Figures 3b,c). Interestingly, the docking results also indicate that, although the carbonyl group of αKG is inserted in a small hydrophobic pocket formed by the Leu294 and Cys502 side chains that accommodates the PEP ethene group in the EI-PEP complex (Figures 3b,c), the hydrophobic penalty engendered by substitution of the CH2 group by the more polar O atom is compensated by formation of a hydrogen bond between the carbonylic oxygen of αKG and the thiol group of Cys502 (Figure 3c). Thus the lower stability of the EI-αKG complex relative to that of EI-PEP must be primarily due to the looser interactions of the αKG C5 carboxyl group with the side chains of Arg296, Arg332, Lys340, Arg358 and Arg465 (Figure 3c) that are involved in several hydrogen-bonds and salt-bridges with the PEP phosphoryl group (Figure 3b). In particular, our model shows that the C5 carboxyl group of αKG forms two hydrogen-bonds with Arg465 and is involved in electrostatic interactions with Arg358. In contrast to PEP, however, αKG makes only minor contacts with Arg296 and Lys340, and does not interact with the side chain of Arg332.
Validation of the EI-αKG structure
To validate the EI-αKG model obtained by molecular docking simulations, sedimentation velocity experiments were conducted on uniformly 2H/15N labeled EI in the absence and presence of saturating concentrations of PEP and αKG. As previously reported, the specific network of interactions between EI and PEP induces structural stabilization of the EI dimer as well as a ~70° reorientation of EIN domain relative to EIC that results in a more compact enzyme structure (13–15). The sedimentation velocity data reported in Figure 4 reveal that addition of 20 mM PEP or αKG to EI results in a decrease of the EI dimmer dissociation constant by more than an order of magnitude (Figures 4a–c) as well as in a corresponding increase in the sedimentation coefficient extrapolated for the EI dimer (s20,w, Figures 4d–e). In particular, s20,w values of 7.77 ± 0.03, 8.09 ± 0.01, and 8.18 ± 0.02 S were obtained for the EI dimer in the free form, and bound to PEP and αKG, respectively, indicating that the PEP-bound structure of EI is more compact than the structure of the free enzyme, and that the αKG-bound form is essentially as compact as the PEP-bound form. The fact that PEP and αKG have similar effects on both the dimerization properties and the overall shape of EI suggests that the two molecules share a common network of interactions with the enzyme, which is consistent with our model for the EI-αKG complex (Figure 3b,c).
We also noticed that the C5 carboxyl group of αKG is not a good analog of the PEP phosphoryl group which has a spherically distributed -2e charge and is able to form electrostatic interactions with the Mg2+ ion and all the positively charged side chains in the EIC active site. Indeed, the C5 carboxyl group of αKG bears an asymmetric -1e charge and is preferentially oriented toward Arg465 in our model of the EIC-αKG complex, reproducing only the interactions of PEP with Arg358, Arg465 and the Mg2+ ion. To verify the existence of this preferential orientation, we compared the NMR data obtained for the EIC-αKG interaction with those previously reported for the EIC-PEP complex (14). NMR chemical shifts are sensitive reporters of the electronic environment surrounding a particular nucleus. Therefore, the observation of a nucleus with similar chemical shifts under different experimental conditions (i.e. in the absence of ligands, in the presence of PEP or αKG) indicates that the local environment surrounding the particular nucleus is unchanged. A perturbation in chemical shift, on the other hand, upon ligand binding is indicative of a change in chemical environment and can be used to reliably identify the site of interaction. Using this basic principle and NMR relaxation dispersion measurements, we have recently shown that the EIC residues around the PEP binding site undergo a rapid transition on the submillisecond time scale between a major open (~97%) and a minor closed (~3%) state (14). Indeed, we have observed a close correspondence between the residue-specific 15N chemical shift differences (ΔωN) between the two states (as derived from analysis of the relaxation dispersion data) and the perturbations on the 15N chemical shifts (ΔδN) of EIC obtained from PEP titration experiments, indicating that the hydrogen bonds and salt bridges formed by the phosphoryl group of PEP with the side chains of Lys340, Arg358 and Arg465 effectively lock EIC in the closed conformation (14). Good agreement is also obtained by comparing the previously reported ΔωN values for the open/closed conformational transition (14) with the ΔδN values measured upon αKG binding (Table 1), with discrepancies higher than 50% of the ΔωN value observed only in the proximity of Lys340 (Figure 3c and Table 1). These observations indicate that αKG is not able to trap Lys340 in the closed conformation, and are fully consistent with our structural model of the EIC-αKG complex, in which the C5 carboxyl group of the inhibitor is involved in strong interactions with Arg358 and Arg465, but shows only minor contacts with the Lys340 side chain. This preferential orientation of the C5 carboxyl group is also confirmed by the small 1HN/15N chemical shift changes for Ile275 and Gly276 induced by αKG (Figure 1d), in contrast to the large perturbations observed upon addition of PEP (Figure 1d). The amide groups of Ile275 and Gly276 are indeed located close in space to the side chain of Arg296, that is involved in two hydrogen bonds with the PEP phosphoryl group, but shows only minor contacts with αKG in the proposed structural model (Figures 3b,c). The absence of strong Arg296-αKG interactions leaves the Arg296 side chain with the same conformational flexibility as in the free protein. Consequently, the chemical environment of Ile275 and Gly276 is similar in both free EIC and the EIC-αKG complex, resulting in similar 1HN/15N chemical shifts (i.e. small ΔH/N in Figure 1d).
Table 1.
G337 | K340 | E341 | L355 | W357 | R358 | A359 | I426 | G427 | R465 | N467 | |
---|---|---|---|---|---|---|---|---|---|---|---|
|ΔωN| (ppm)a | 2.0 | 0.6 | 1.0 | 1.1 | 1.0 | 0.7 | 2.0 | 1.9 | 2.0 | 0.8 | 0.8 |
ΔδN (ppm) | 0.6 | 0.1 | 0.4 | - | 0.7 | 0.9 | 1.1 | 1.6 | 1.5 | 1.0 | - |
|(|ΔωN|-ΔδN)|/|ΔωN| | 0.7 | 0.8 | 0.6 | - | 0.3 | 0.3 | 0.4 | 0.2 | 0.3 | 0.2 | - |
The error in the values of |ΔωN| is ±0.1 ppm with the exception of that for Leu355 and Arg465 which is ±0.2 ppm.
As a final check of the proposed structural model, NMR titration experiments were performed to probe αKG binding to the EIC R465A mutant. Consistent with the disruption of two hydrogen bonds between the C5 carboxyl group of αKG and the Arg465 side chain, the KD measured for the EIC R465A mutant-αKG complex (~6.7 ± 0.4 mM, Figure 5a) is ~3 times larger than that for the wild-type protein (Figure 1e). As expected, mutation of Arg465 also results in destabilization of the enzyme-PEP interaction, evidenced by the higher Km value (~1.6 ± 0.4 mM) obtained for the EIC R465A mutant-PEP interaction from steady-state enzyme kinetic data (figure 5b).
Concluding remarks
Engineering microorganisms to synthesize bioderived molecules from renewable carbon sources has drawn increasing attention in recent years (16–18). In this context, the use of nitrogen poor culture media has been shown to be advantageous to force carbon into pathways not needed for biomass production (10–12,19). For several practical applications, however, the mechanisms used by microorganisms to balance nutrients run contrary to the metabolic engineers goal of optimizing yields. Thus, in such cases, the use of new microorganisms in which carbon and nitrogen metabolism are uncoupled may be essential for maximizing production rates.
αKG provides the carbon substrate for the glutamine synthetase–glutamate synthase cycle, which assimilates ammonia to produce glutamate. Variations in the concentration of the nitrogen source in the growth medium result in rapid changes in the intracellular concentration of αKG from 0.5 to 10 mM when the nitrogen content of the medium is decreased sufficiently to limit cell growth (7). Interestingly, αKG has been shown in bacteria to link the rate of carbon uptake to the availability of a nitrogen source by inhibition of EI (7), providing an attractive system for synthetic biology studies aimed at engineering new microorganisms with uncoupled carbon and nitrogen metabolism.
Here, we have used NMR to investigate the interaction of αKG with E. coli EI. Analysis of the 1HN/15N chemical shift profiles generated by αKG on the NMR spectra of the isolated EIN and EIC domains (Figures 1a–d) clearly indicates that αKG interacts exclusively with the C-terminal domain of EI at the binding site for PEP, thus acting as a competitive inhibitor of the enzyme. Although the segment Lys250-Pro260 was not included in either of the isolated domain constructs, this fragment comprises a helix connecting the N- and C-terminal domains of the enzyme, does not form pockets, and is not involved in any known interaction with PEP or other molecules. Therefore, the presence of an additional binding site for αKG in the Lys250-Pro260 fragment seems very unlikely.
Enzymatic assays performed in the absence and presence of αKG confirm the competitive nature of the inhibition (Figures 2a,b). The KI of ~2.2 ± 0.5 mM is in excellent agreement with the KD of the EI-αKG complex measured by NMR titration experiments, and indicates that under conditions of nitrogen limitation the enzyme-inhibitor interaction is strong enough to reduce the percentage of intracellular EI bound to PEP from 50% (at 0 mM αKG) to 15% (at 10 mM αKG) (Figure 2c). Although our results agree well with direct inhibition of EI by αKG, they are inconsistent with the non-competitive inhibition model previously proposed (7). In particular, Doucette et al. (7) reported that addition of 2 mM αKG to a reaction mixture containing EI and PEP results in a ~70% reduction in the maximum velocity (Vmax) for the EI auto-phosphorylation reaction. We note that in our first attempt to titrate αKG (SIGMA – product code: 75892) into EIC we noticed the appearance of several new peaks in the NMR spectra of the protein (Supporting Information, Figure S2), indicative of protein degradation. The degradation was time-dependent, proceeded faster at higher concentration of αKG (Supporting Information, Figure S2), and was not negligible under our experimental conditions (at 4 mM αKG the intensity of the EIC NMR signal dropped more than 60% after 20 min incubation at 37°C). Similar effects were also observed upon titration αKG into the isolated EIN domain, suggesting that our batch of αKG contained a contaminant with high proteolytic activity. Protein degradation in subsequent experiments was eliminated by purchasing a new batch of αKG (SIGMA – product code: K1875 – Premium quality), that was resuspended in the working buffer at a final concentration of 100 mM, checked for pH, aliquoted and immediately frozen. The use of a contaminated batch of αKG for the inhibition assay would result in a reduction in the concentration of active enzyme (that would be quickly proteolyzed by the contaminant) with a concomitant artificial decrease in Vmax, and may explain the discrepancy between our inhibition data and the ones previously reported (7). In this respect, we also note that although (i) the NMR data presented here indicate unambiguously that αKG and PEP compete for the same binding site on EIC, (ii) the phosphoryl transfer reaction from PEP bound to the EIC domain to the active site histidine (His189) on the EIN domain is known to occur within the same subunit of the EI dimer (20), and (iii) the structures of both free EI (22) and a phosphoryl transfer intermediate of EI (13) indicate that in-line phosphoryl transfer from EIC of one subunit to EIN of the second subunit within the dimer is sterically impossible, we cannot exclude that binding of αKG to one subunit may induce a conformational change in the relative orientations of the EIN and EIC domains of the second subunit that is incompetent for phosphoryl transfer. In such a case αKG could potentially act as both a competitive and non-competitive inhibitor of EI.
Based on the 1HN/15N chemical shift perturbation and enzymatic data that clearly indicated that αKG and PEP compete for the same binding site on EI, we built a model for the EIC-αKG complex by docking an αKG molecule into the binding site for PEP using the molecular docking program AutoDock. Our results indicate that the EIC-αKG complex retains most of the key interactions of the EIC-PEP complex (Figure 3), but with major differences observed at the C5 carboxyl group of αKG. In particular the inhibitor makes minimal contacts with the side chains of residues Arg296, Arg332 and Lys340, that are involved in an extensive network of electrostatic interactions with the phosphoryl group of PEP. These observations are fully consistent with previously reported NMR relaxation dispersion data (14) and are in good agreement with the effects induced by the inhibitor on the 1H/15N chemical shifts (Figure 1d) and on the sedimentation coefficient of the enzyme (Figure 4), confirming that the structural model presented here is of good quality.
Though the competitive nature of the EI inhibition makes the design of EI mutants resistant to αKG non trivial, the fact that the EIC residues involved in PEP binding are fully conserved in the enzyme EINTR (Figure 6), which catalyzes the same PEP-induced autophosphorylation reaction but is not inhibited by αKG (21), suggests that engineering such EI mutants is not an impossible task. In this respect, the EIC-αKG structure presented here may serve as model for structure-based protein design of EI/EINTR hybrids that maintain the same enzymatic activity of wild-type EI but are resistant to αKG.
Methods
NMR spectroscopy
The R465A mutant of EIC was created using the QuikChange Site-Directed Mutagenesis Kit (Stratagene). Intact E. coli EI (residues 1–575) and the isolated N-terminal (EIN, residues 1–249) and C-terminal (EIC, residues 261–575) domains were expressed and purified as described previously (14,22,23). All NMR samples were prepared in 20 mM Tris buffer, pH 7.4, 100 mM NaCl, 4 mM MgCl2, 1 mM EDTA, 2 mM DTT, and 90% H2O/10% D2O (v/v). The protein concentration (in subunits) was 200–400 μM.
NMR spectra were recorded at 37°C on Bruker 600 MHz spectrometers equipped with z-shielded gradient triple resonance cryoprobe. Spectra were processed using NMRPipe (24) and analyzed using the program SPARKY (http://www.cgl.ucsf.edu/ home/sparky).
The 1H-15N TROSY spectra of free EIN and EIC were assigned according to previously reported NMR data (14,25). Assignment of the 1H-15N cross-peaks for the EIC-αKG complex was performed by titration experiments, following the change in 1H-15N cross-peak positions as a function of added αKG in 1H-15N TROSY spectra.
Weighted combined 1H/15N chemical shift perturbations (ΔH/N) resulting from the addition of increasing concentrations of αKG (up to 16 mM) were calculated using the equation (26):
(1) |
where WH and WN are weighting factors for the 1HN and 15N amide shifts, respectively (WH = 1, WN = 0.154), and ΔδH and ΔδN are the 1HN and 15N chemical shift differences in ppm, respectively, between free and bound states. The dissociation constant (KD) for the EIC-αKG complex was obtained by fitting the changes in ΔH/N with increasing concentration of αKG using the following equation (27):
(2) |
where Δ0 is the weighted combined 1H/15N chemical shift at saturation, and P and L are the protein and ligand concentrations, respectively. The chemical shift perturbation curves of residues showing ΔH/N > 0.1 ppm in the presence of 16 mM αKG were simultaneously fitted to the same KD value.
Backbone amide 1DNH residual dipolar couplings (RDCs) were measured by taking the difference in 1JNH scalar couplings in aligned and isotropic media (28). The alignment media employed was phage pf1 (14 mg/ml; ASLA Biotech) (29,30), and 1JNH couplings were measured using the ARTSY pulse scheme (31).
Enzymatic assay
Enzymatic activity of EIC for the hydrolysis of PEP to inorganic phosphate and pyruvate was assayed spectrophotometrically in the presence of 0, 2 and 4 mM αKG. Assays were performed at 37°C using the EnzChek Phosphate Assay Kit (Invitrogen) and a nanodrop 2000 spectrophotometer, as described previously (14). The experimental enzymatic velocities (v) were fit using either a competitive or a non-competitive inhibition model describing the effect of αKG on the catalytic activity of EIC:
Competitive inhibition:
(3) |
Non-competitive inhibition:
(4) |
where Km and Vmax are the Michaelis constant and maximum velocity in the absence of αKG, respectively, [PEP] and [αKG] are the concentrations of PEP and αKG, respectively, and KI is the inhibition constant.
The effective Michaelis constant for the EI-PEP complex (Km,eff) at αKG concentrations ranging from 0 to 10 mM was calculated using the equation:
(5) |
Km was set to 0.3 mM and KI to 2.2 mM, as determined by the inhibition assay. The obtained Km,eff values were the used to calculate the percentage of EI bound to PEP at physiological concentrations of enzyme (~10 μM subunits) (32) and PEP (300 μM) (33). Results are presented in Figure 2c.
Docking calculations
The binding mode of αKG to EIC was modeled by docking simulations using the program Autodock 4.0 (34). The coordinates of the C-terminal domain from the phosphorylated EI X-ray structure (13) were used as the target in the docking calculations. A cubic grid box (grid spacing = 0.373 Å; 40 × 40 × 40 grid points) centered on the coordinates of the phosphorylated His189 phosphorus atom was used, and the grid maps were generated using the program Autogrid. Docking was performed using the Lamarckian genetic algorithm (LGA) and allowing the side chains of Arg332 and Cys502 conformational flexibility during the simulations. For αKG, the acrylic and carboxylic group were considered rigid, and only the bonds involving the two sp3 carbons were treated as rotatable. 100 runs were performed. The population size was set to 150, the maximum number of evaluations to 2,500,000, and the maximum number of generations to 27,000. The remaining parameters were set to their default values. Out of the 100 structures generated, the 10 lowest energy conformations display the same ligand orientation in the binding site. The conformation with the lowest binding energy is displayed in Figure 3c.
Sedimentation velocity
A 1.5 mM stock solution of uniformly 2H/15N labeled EI was diluted to prepare a series of solutions of approximately 130, 65 and 32 μM in 100 mM NaCl, 20 mM Tris buffer, pH 7.4, 4 mM MgCl2, 2 mM DTT and 1 mM EDTA (buffer A). The lowest concentration solution was serially diluted into the same buffer to prepare approximately 2 to 16 μM solutions. All samples were analyzed by sedimentation velocity at 20.0°C and 50 krpm on a Beckman Coulter ProteomeLab XL-I analytical ultracentrifuge. Dilute protein solutions (< 50 μM) were loaded into 12 mm 2-channel epon centerpiece cells (400 μL), whereas higher concentrations were loaded into 3 mm 2-channel epon centerpiece cells (100 μL). Absorbance (280 nm) and Rayleigh interference (655 nm) scans collected at approximately 7 minute intervals were analyzed in SEDFIT 13.0d (35) in terms a continuous c(s) distribution covering an s range of 0.0 – 10.0 S with a resolution of 200 and a confidence level of 0.68. Good fits were obtained with r.m.s.d. values corresponding to typical instrumental noise values. Identical experiments were carried out in buffer A containing 20 mM PEP (buffer B) or 20 mM αKG (buffer C). The solution density (ρ) and viscosity (η) for buffer A were calculated based on the solvent composition using SEDNTERP 1.09 (36). Solution densities for buffers B and C were measured at 20.000°C on an Anton-Paar DMA 5000 density meter; solution viscosities were measured at 20.00°C using an Anton Paar AMVn rolling ball viscometer. The partial specific volume for EI (v) was calculated in SEDNTERP 1.09 (36) and adjusted for its isotopic composition.
EI monomer and dimer populations obtained from integration of the c(s) distributions were used to construct partial concentration isotherms. Data were analyzed in SEDPHAT 10.41 (37) in terms of a monomer-dimer self-association to obtain the equilibrium constants; errors were determined using the method of F-statistics with a confidence level of 95%.
Supplementary Material
Acknowledgments
We thank N. Fawzi and Y. Takayama for helpful discussions. This work was supported by funds from the Intramural Program of the NIH, NIDDK, and the Intramural AIDS Targeted Antiviral Program of the Office of the Director of the NIH (to G.M.C.).
Footnotes
ASSOCIATED CONTENT
Supporting Information
Analytical ultracentrifugation data for Enzyme I in the presence of phosphoenolpyruvate and α-ketoglutarate, and 1H-15N TROSY correlation spectra of Enzyme I in the presence of various concentrations of α-ketoglutarate. This material is available free of charge via the Internet at http://pubs.acs.org
The authors declare no competing financial interest.
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