Kinetic Studies of the Uracil Phosphoribosyltransferase Reaction Catalyzed by the Bacillus subtilis Pyrimidine Attenuation Regulatory Protein PyrR*

Gail K. Grabner and Robert L. Switzer

From the Department of Biochemistry, University of Illinois, Urbana, Illinois 61801

Received for publication, October 30, 2002, and in revised form, December 5, 2002

    ABSTRACT
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ABSTRACT
INTRODUCTION
EXPERIMENTAL PROCEDURES
RESULTS
DISCUSSION
REFERENCES

The PyrR protein from Bacillus subtilis and many other bacteria is a bifunctional protein. Its primary function is the regulation of expression of pyrimidine biosynthetic (pyr) genes by binding to specific sites on pyr mRNA in a uridine nucleotide-dependent manner and altering the folding of downstream RNA to promote termination of transcription. PyrR also catalyzes the uracil phosphoribosyltransferase (UPRTase) reaction even though it bears little amino acid sequence similarity to other bacterial UPRTases. The PyrR-catalyzed UPRTase reaction obeyed a Ping Pong steady state kinetic pattern under all conditions examined, but no catalysis of [14C]uracil-UMP and [32P]PPi-phosphoribosylpyrophosphate exchange reactions could be detected. Steady state equations for Ordered Bi Bi mechanisms for PyrR that include a kinetically irreversible conformational change after binding of PRPP but before uracil binding were shown to account for the Ping Pong pattern of the enzyme. This mechanism was supported by the following experimental observations. The reverse reaction was extremely slow with a catalytic rate constant 3300 times smaller than for the forward reaction. Patterns of product inhibition of the forward reaction were consistent with a version of the irreversible conformational change model in which PyrR returns to the unliganded conformation before dissociation of UMP and were inconsistent with several other kinetic mechanisms. UMP and phosphoribosylpyrophosphate were shown by equilibrium dialysis to bind to free PyrR (dissociation constants of 27 ± 3 and 18 ± 2 µM, respectively), but uracil and PPi did not bind at equilibrium concentrations up to 750 µM. We propose that the conformational change kinetic model developed for PyrR can also account for numerous other reports of Ping Pong kinetics for various phosphoribosyltransferases that do not form the phosphoribosyl-enzyme intermediate predicted by classic Ping Pong kinetics.

    INTRODUCTION
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ABSTRACT
INTRODUCTION
EXPERIMENTAL PROCEDURES
RESULTS
DISCUSSION
REFERENCES

The expression of the pyrimidine biosynthetic (pyr) operon in Bacillus subtilis and many other bacteria is regulated by a pyr mRNA-binding protein called PyrR (for review, see Ref. 1). PyrR acts by binding to a specific RNA sequence and secondary structure in the attenuation regions of pyr operons or genes (2). Binding of PyrR at this site stabilizes a secondary structure in the mRNA that favors formation of a downstream intrinsic transcription terminator RNA stem-loop, which results in reduced expression of the full-length mRNA that encodes the pyrimidine biosynthetic genes. Because the binding of PyrR to its specific sites is enhanced by uridine nucleotides UMP and UTP (2), this mechanism leads to repression of pyr gene expression by pyrimidines in the growth medium. Our laboratory has characterized RNA binding by PyrR in detail (2), identified amino acid residues in the RNA binding site of PyrR (3), and characterized the mechanism of transcription attenuation in B. subtilis (4-6).

A remarkable property of PyrR, first discovered by Ghim and Neuhard in studies of PyrR from the thermophile Bacillus caldolyticus (7), is that it also catalyzes the uracil phosphoribosyltransferase (UPRTase)1 reaction. This finding was unexpected because the deduced amino acid sequences of PyrR proteins from various bacteria bear no significant sequence similarity outside of a short sequence in the active site to the sequences of previously characterized bacterial UPRTases, which are encoded by upp genes (1). Nonetheless, purified B. subtilis PyrR, when assayed under optimal conditions, has a UPRTase-specific activity comparable with purified bacterial upp-encoded UPRTases (8). Furthermore, the three-dimensional structure of B. subtilis PyrR, which was solved at high resolution by Tomchick et al. (9), demonstrated that the PyrR structure is very similar to other Type I phosphoribosyltransferases (10). We have speculated that PyrR arose from evolution of an ancestral phosphoribosyltransferase, possibly a hypoxanthine guanine phosphoribosyltransferase, which PyrR most resembles in sequence and tertiary structure, by gaining the ability to bind to a specific RNA structure (9)

This communication presents a kinetic study of the UPRTase reaction catalyzed by PyrR. We have sought to determine the relationship between this reaction and the UPRTase reaction catalyzed by upp-encoded UPRTases and by Type I phosphoribosyltransferases in general. Our results indicate that PyrR is a rather typical phosphoribosyltransferase. We propose a kinetic model for the UPRTase reaction that explains how it displays a Ping Pong steady state kinetic pattern but does not function via a phosphoribosyl-enzyme intermediate. Our model provides a mechanistic resolution to a number of apparently contradictory kinetic studies of other phosphoribosyltransferases in the literature. Some observations on the relationship between the UPRTase activity of PyrR and its function as an mRNA binding attenuation regulatory protein are also presented.

    EXPERIMENTAL PROCEDURES
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ABSTRACT
INTRODUCTION
EXPERIMENTAL PROCEDURES
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All procedures are described in greater detail in Grabner (11).

Materials-- B. subtilis PyrR was purified by the procedure of Turner et al. (8) with the following modifications. The supernatant fluid from the streptomycin precipitation step was applied directly to the QAE-Sepharose column without ammonium sulfate precipitation or dialysis, the column was washed with 400 ml of Buffer R (100 mM Tris acetate, 10 mM Na+-phosphate, pH 7.0) (8) containing 150 mM NaCl instead of 100 mM NaCl, and PyrR was eluted with an 800-ml linear gradient from 150 to 250 mM NaCl in Buffer R. The purified PyrR fractions were concentrated with powdered ammonium sulfate to 80% saturation and dialyzed three times against 2 liters of 100 mM Tris acetate, 10 mM potassium acetate, 10% glycerol, pH 7.5, at 4 °C.

PRPP, uracil, UMP, UDP, and UTP were commercial products of Sigma-Aldrich. The concentrations of PRPP solutions was determined after preparation and monthly thereafter by a variation of the forward UPRTase assay using limiting PRPP, excess [14C]uracil, and PyrR and allowing the reaction to proceed to completion. The concentrations of solutions of uracil and uridine nucleotides were determined spectrophotometrically.

[alpha -32P]UTP (25 Ci/mmol) was the commercial product of ICN Biomedicals, and [14C]uracil (50 mCi/mmol) and [32P]PPi (1000 mCi/mmol) were from PerkinElmer Life Sciences. [32P]UMP was prepared from commercial [alpha -32P]UTP by hydrolysis in 0.25 N HCl at 100 °C for 35 min. The radiochemical purity of the [32P]UMP was determined to be 71% by thin layer chromatographic analysis on polyethyleneimine-cellulose plates. Impurities were UDP (2%), Pi (11%), and unknown (16%). The [32P]UMP was diluted with pure nonradioactive UMP of known concentration for use in equilibrium dialysis, correcting the specific radioactivity for its 71% purity. [32P]PRPP was synthesized from 10 nmol of ribose 5-phosphate and 10 nmol of [gamma -32P]ATP (5 µCi/nmol, ICN Biochemicals) using 10 µg (0.36 units) of purified human PRPP synthetase isozyme II (12) in 50 mM KH2PO4, 50 mM triethanolamine, 0.1 mM MgCl2 (in future experiments 2-5 mM MgCl2 is recommended), pH 8.0, in 100 µl final volume. After reaction for 30 min at room temperature, unreacted [gamma -32P]ATP was removed from the reaction mixture by the addition of 30 ml of a 50% suspension of acid-washed (13) and neutralized (pH 7) charcoal and incubation on ice for 30 min followed by centrifugation. The radiochemical purity of the [32P]PRPP was determined by thin layer chromatography on polyethyleneimine-cellulose to be 79%; the major impurity was tentatively identified as [32P]PPi. The [32P]PRPP was diluted with nonradioactive PRPP of known concentration for use in equilibrium dialysis, correcting the specific radioactivity for its 79% purity.

5'-CCUUUUUAAGGGCAAUCCAGAGAGGUUGCAAAGAGG-3', an oligoribonucleotide predicted from the studies of Bonner et al. (2) to bind to PyrR with a dissociation constant in the 1-10 nM range was chemically synthesized by Dharmacon Research (Lafayette, CO). Before its use in equilibrium dialysis the RNA was deprotected according to the manufacturer's protocol. The RNA concentration of stock solutions was determined from their UV absorbance.

Assays for UPRTase and Exchange Reactions-- The UPRTase forward (uracil + PRPP right-arrow PPi + UMP) reaction was assayed by Method 2 previously described (8). The [14C]uracil-UMP exchange reaction was assayed by the same method, except that PRPP was omitted from the reactions. The UPRTase reverse (UMP + PPi right-arrow uracil + PRPP) reaction was assayed by enzymatic conversion of PRPP to [14C]AMP with an excess of [14C]adenine and purified human erythrocyte adenine phosphoribosyltransferase (a gift of Prof. Michael Becker, University of Chicago). Each assay contained in 50 µl of final volume 0.1 mM [14C]adenine (14 µCi, ICN Biomedicals), 0.006 IU of adenine phosphoribosyltransferase (134 µg), 2.5 mM MgCl2, 50 mM serine buffer, pH 8.7, 30-240 µM UMP, and 300-1000 µM PPi. It was necessary to incubate all components except PPi at 37 °C for 5 min and to initiate the reactions with PPi to obtain reaction rates that were linear with the amount of PyrR. Samples (5 µl) were removed at various time intervals less than 2 min (necessary to ensure linearity of product formation with time) and spotted and dried on DEAE-cellulose paper, which was washed to remove unreacted [14C]adenine and analyzed as for the UPRTase forward reaction.

The [32P]PPi-PRPP exchange reaction was assayed by incubating 2 mM [32P]PPi (8 × 105 cpm), 1 mM PRPP, 5 mM MgCl2, 50 mM serine buffer, pH 8.7, and up to 244 µg of PyrR at 37 °C for 1 h. Uracil, when added, was at 1 mM. Samples (5 µl) were removed, spotted together with nonradioactive PRPP and PPi, and analyzed by thin layer chromatography polyethyleneimine-cellulose plates (Selecto Scientific) using 2 M LiCl, 0.75 M ammonium formate, pH 5, as the developing solvent (28). Authentic [32P]PPi and [32P]PRPP were also analyzed as standards. In all cases only one radioactive spot, which co-migrated with [32P]PPi, was detected, and all of the radioactivity added to the reaction mixtures was recovered in that spot.

Equilibrium Dialysis Studies of Ligand Binding by PyrR-- The procedure described by Gibson et al. (14) was used for equilibrium dialysis, except that ultrathin regenerated cellulose circular (1 cm diameter) dialysis membranes (10,000 molecular weight cut-off, The Nest Group, Southborough, MA) were used. Dialysis was in 100 mM Tris acetate, 10 mM potassium acetate, 20% glycerol, pH 7.5, at 0 °C for 40-48 h. Equimolar MgCl2 was included when uracil, UMP, and UTP are ligands; 3- and 2-fold molar excess MgCl2 were added with PRPP and PPi, respectively. The concentration of PyrR was 100 µM. All experiments were performed in duplicate except that the ligand and PyrR were mixed together in one chamber and buffer only was placed in the other chamber ("dialyzing out") in one set, and the ligand and PyrR were initially in different chambers in the other set ("dialyzing in"). Coincidence of the two final binding curves established that equilibrium had been reached. Quadruplicate samples were removed from the ligand, and PyrR chambers and their radioactivity were determined by liquid scintillation counting. These determinations permitted the concentrations of free and bound ligand and their associated standard errors to be calculated. The data were fit to a hyperbolic binding curve using Kaleidagraph 3.0 for Windows.

Analysis of Kinetic Data-- Steady state kinetic data were analyzed using the computer program Kinsim (kindly provided by Bryce Plapp, University of Iowa), in which the Fortran code of Cleland (15) was adapted to run on an IBM PC. Bisubstrate saturation kinetics were fit to the equations for Ping Pong mechanisms to calculate kinetic constants, which always gave much lower standard errors for the fit than when the data were fit to the equation for a Sequential mechanism. Product inhibition data were fit to the equations for competitive, noncompetitive, and uncompetitive modes of inhibition. The equation that gave the lowest standard errors was used to determine kinetic constants so long as the pattern of double reciprocal plots was also clearly consistent with that equation. Steady state kinetic equations for the four mechanisms shown in Fig. 2, including their product inhibition patterns, were derived using the method of King and Altman (17). The details of these lengthy derivations are shown in Grabner (11).

    RESULTS
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ABSTRACT
INTRODUCTION
EXPERIMENTAL PROCEDURES
RESULTS
DISCUSSION
REFERENCES

PyrR-catalyzed UPRTase Displays a Ping Pong Kinetic Pattern, but the Enzyme Does Not Catalyze Exchange Reactions Predicted by Formation of a Phosphoribosyl-Protein Intermediate-- Double reciprocal plots of the steady state kinetic data for PyrR-catalyzed formation of UMP from uracil and PRPP were consistently sets of parallel lines (an example is shown in Fig. 1). This was the case throughout the pH range from 7.2 to 9.7 and at all substrate concentrations studied. Values for the maximal velocity and Michaelis constants for PRPP and uracil from pH 7.7 to 9.7 have been previously published (8). A Ping Pong kinetic pattern is characteristic of enzymes that form a covalent intermediate with a portion of a substrate molecule, which in the case of UPRTase would indicate the following mechanism.


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Fig. 1.   Double reciprocal plots of substrate saturation kinetic data for the forward UPRTase reaction in Tris acetate buffer, pH 8.7. Units = µmol/min. Top, uracil was the variable substrate with PRPP at 50 (open circle ), 75 (), 150 (diamond ), 225 (×), and 300 (+) µM. Bottom, PRPP was the variable substrate with uracil at 50 (open circle ), 100 (), 175 (diamond ), and 400 (×) µM. Fit of the data shown to the equation for a Ping Pong mechanism yielded a maximal velocity of 15.3 ± 1.0 µmol/min/mg and Michaelis constants of 59 ± 10 and 171 ± 19 µM for PRPP and uracil, respectively.


E + <UP>PRPP ↔ phosphoribosyl-</UP>E<UP> + PP<SUB>i</SUB></UP> (Eq. 1)

<UP>phosphoribosyl-</UP>E<UP> + uracil ↔ </UP>E<UP> + UMP</UP> (Eq. 2)
Such a mechanism predicts the ability of the enzyme to catalyze two independent exchange reactions at rates equal to or greater than the overall reaction rate, namely [14C]uracil-UMP exchange and [32P]PPi-PRPP exchange. We examined the ability of PyrR to catalyze these reactions using the methods described under "Experimental Procedures." Neither exchange reaction was detected. No exchange of [14C]uracil into UMP could be detected using up to 162 µg of PyrR per reaction; in control experiments in which 100 mM PRPP was included in the reaction mixture [14C]uracil was incorporated into UMP at a readily detectable rate (0.024 nmol/min) with only 0.0162 µg of PyrR added. In attempts to observe [32P]PPi-PRPP exchange up to 244 µg of PyrR was added to each reaction mixture, but no exchange of [32P]PPi into PRPP was observed. However, in this case formation of [32P]PRPP from [32P]PPi and uracil was also not detectable, so direct proof that the PyrR was active was not obtained. However, PyrR treated in the same manner was highly active in assays of the forward UPRTase reaction. As will be shown below, the catalysis of the reverse reaction by PyrR is exceedingly slow; we believe this accounts for the failure to observe it under conditions used in the [32P]PPi-PRPP exchange assay.

An Ordered Bi Bi Kinetic Model with a Kinetically Irreversible Conformational Change Can Account for the Kinetic Behavior of PyrR-catalyzed UPRTase-- The cardinal property of Ping Pong kinetics that accounts for the parallel lines observed in double reciprocal plots is not the formation of a covalent enzyme intermediate but the imposition of a kinetically irreversible step between the binding of the first substrate and the binding of the second substrate. In the mechanism shown above that irreversible step is the dissociation of the first product, PPi, into a solution in which its initial concentration is zero. We therefore considered whether one of several Ordered Bi Bi kinetic mechanisms in which a kinetically irreversible conformational change occurs during catalysis could account for our kinetic observations. In devising these models we took into consideration the fact that several Type I phosphoribosyltransferases have been experimentally demonstrated to undergo large conformational changes after the binding of PRPP (16). We reasoned that if such a conformational change occurred in PyrR after the binding of PRPP and this step were kinetically irreversible, such a mechanism would give rise to Ping Pong kinetic behavior (by "kinetically irreversible" we mean that the forward direction is very much faster than the reverse direction and that the reverse reaction, if it occurs at all, is very much slower than the other kinetic steps of the mechanism.) This presumption was verified by derivation of the steady state rate equations for the four kinetic mechanisms shown in Fig. 2 by the method of King and Altman (17). These four mechanisms are all Ordered Bi Bi mechanisms in which PRPP is the first substrate to bind and UMP is the last product to dissociate from the enzyme. In all cases the kinetically irreversible step is postulated to be a conformational change that occurs after the binding of PRPP but before the binding of uracil. The mechanisms differ in the nature of the step at which the enzyme returns to the unbound conformation. The steady state equation for the reaction in the absence of products for all four mechanisms is the same and is that found for any bisubstrate Sequential kinetic mechanism.


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Fig. 2.   King-Altman diagrams for the four kinetic mechanisms for the UPRTase reaction discussed in the text. E, enzyme; E', enzyme after a conformational change that follows PRPP binding; A, PRPP; B, uracil; P, PPi; Q, UMP. Rate constants for steps in the forward reaction are shown outside the figure; rate constants for the reverse reaction are shown with minus signs inside the figure. The four mechanisms differ only in the step at which the enzyme returns to the unliganded conformation.


<FR><NU>v</NU><DE>V<SUB><UP>max</UP></SUB></DE></FR><UP> = </UP><FR><NU>[<UP>A</UP>][<UP>B</UP>]</NU><DE>K<SUB>i<UP>a</UP></SUB>K<SUB>m<UP>B</UP></SUB><UP> + </UP>K<SUB>m<UP>B</UP></SUB>[<UP>A</UP>]<UP> + </UP>K<SUB>m<UP>A</UP></SUB>[<UP>B</UP>]<UP> + </UP>[<UP>A</UP>][<UP>B</UP>]</DE></FR> (Eq. 3)
However, if one assumes that the rate constant for the reverse of the conformational change, k-2, approaches zero, the equation simplifies to that obtained for Ping Pong mechanisms.
<FR><NU>v</NU><DE>V<SUB><UP>max</UP></SUB></DE></FR><UP> = </UP><FR><NU>[<UP>A</UP>][<UP>B</UP>]</NU><DE>K<SUB>m<UP>B</UP></SUB>[<UP>A</UP>]<UP> + </UP>K<SUB>m<UP>A</UP></SUB>[<UP>B</UP>]<UP> + </UP>[<UP>A</UP>][<UP>B</UP>]</DE></FR> (Eq. 4)
Thus, all four mechanisms predict the absence of a slope effect in double reciprocal plots. However, if the product terms are included, the four mechanisms differ in the product inhibition patterns they predict (Table I). Complete details of the derivations and deduction of kinetic patterns are presented in Grabner (11).

                              
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Table I
Results of product inhibition studies as compared to patterns predicted for kinetic models

Product Inhibition Studies Favor Model 1-- Product inhibition studies of PyrR-catalyzed forward reaction (PRPP + uracil right-arrow UMP + PPi) were conducted and are summarized in Table II. The pattern of inhibition could be unambiguously assigned on the basis of the quality of the statistical fit of the data to the appropriate equations in all cases except for inhibition by PPi as a function of uracil concentration. In that case uncompetitive inhibition could be excluded, but the fit of the data to competitive and to noncompetitive patterns was essentially equivalent. Table I lists the patterns of product inhibition predicted for Ping Pong, Random Bi Bi, Ordered Bi Bi (18), and the four irreversible conformational change models described in Fig. 2. It can be seen that, even with ambiguity in the pattern of PPi inhibition versus uracil saturation, our observations are consistent only with Model 1 of Fig. 2.

                              
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Table II
Inhibition of PyrR-catalyzed UPRTase by products and uridine nucleotides

Also shown in Table II are the results of inhibition studies performed with UDP and UTP. These nucleotides were investigated because it has been shown that they, like UMP, affect the affinity of PyrR for pyr mRNA (2) and stimulate termination of transcription by PyrR in vitro (6). The patterns of inhibition of PyrR-catalyzed UPRTase by UDP and UTP were the same as for UMP inhibition, but the inhibition constants were about 2- and 8-fold larger, respectively. These inhibition patterns suggest that all three uridine nucleotides bind to the free enzyme and that they all bind to the UPRTase active site.

The PyrR-catalyzed Reverse UPRTase Reaction (UMP + PPi right-arrow PRPP + Uracil) Is Extremely Slow-- We measured the rate of the reverse reaction by conversion of PRPP to AMP with an excess of [14C]adenine and adenine phosphoribosyltransferase as described under "Experimental Procedures" and found that this rate was more than 3 orders of magnitude slower than the forward reaction. Indeed, the results of our attempts to observe the reverse reaction in the context of the [32P]PPi-PRPP exchange studies indicated that it could not be detected at all without the use of the adenine phosphoribosyltransferase coupling enzyme to trap PRPP as quickly as it is formed. Detailed kinetic studies of the reverse reaction were made very difficult by its slow rate and two other factors. Very high concentrations of PPi were required, which caused formation of precipitates with Mg2+ under the assay conditions. Also, we observed that the reverse reaction ceased when only a small percentage of the substrates was consumed. The amount of products formed was severalfold greater than and did not depend on the concentration of PyrR, so the reverse reaction was not limited to a single "burst." Despite these difficulties, we were able to conduct a study of the dependence of the rate of the reverse reaction on substrate concentration under conditions where the reactions could be shown to be linear with both time and the amount of PyrR used. The data fit best to the equation for a Ping Pong mechanism and yielded values of 0.0045 ± 0.001 µmol/min/mg for Vmax (kcat = 1.5 ± 0.3 × 10-3 s-1), 130 ± 37 µM for the Km for UMP, and 1000 ± 390 µM for the Km for PPi. By contrast, the kcat for the forward reaction at the same pH (8.7) was 5.1 s-1, 3300 times higher than for the reverse reaction.

Studies of the Binding of Substrates to PyrR by Equilibrium Dialysis-- A prediction of the Ordered Bi Bi kinetic model we have proposed that accounts for the Ping Pong kinetics we observed is that only the first substrate to bind, PRPP, and the last product to dissociate, UMP, should bind to the free enzyme. We were also interested in examining the binding of these substrates and of UTP, all of which have been shown to affect the apparent affinity of PyrR for RNA (2). Binding of commercial [alpha -32P]UTP, [14C]uracil, and 32PPi as well as [32P]UMP and [32P]PRPP, synthesized as described under "Experimental Procedures," to highly purified PyrR was studied by equilibrium dialysis. Neither [14C]uracil nor 32PPi bound detectably to 100 µM PyrR at an initial concentration as high as 1.5 mM, but [32P]UMP and [32P]PRPP bound well (Fig. 3, A and B). [32P]UMP binding was well described by a simple hyperbolic curve corresponding to a dissociation constant of 27 ± 3.2 µM. [32P]PRPP binding was also hyperbolic and fit a dissociation constant of 18 ± 2.4 µM. Binding at saturating ligand extrapolated to 0.56 ± 0.02 mol of UMP per mol of PyrR subunit and 0.79 ± 0.03 mol of PRPP per mol of PyrR. This stoichiometry of binding varied somewhat from experiment to experiment but was generally less than 1 mol of ligand per mol of PyrR. The reason for this is not known. The UPRTase activity of PyrR was shown to be constant over the time required for dialysis. Molecular sieving analysis by high performance liquid chromatography indicates that PyrR is present entirely as a hexamer at the concentration used for equilibrium dialysis (3), although it is possible that some more highly aggregated forms that fail to bind substrates also form during the 40-48-h dialysis. Binding of PRPP and UMP to the free enzyme and failure of uracil and PPi to bind are consistent with the predictions of an Ordered Bi Bi mechanism in which PRPP binds first and UMP dissociates last and with each of the four models described in Fig. 2. Such binding is inconsistent with a Ping Pong mechanism or a Random Sequential mechanism.


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Fig. 3.   Binding of substrates and UTP to PyrR, as determined by equilibrium dialysis. A, binding of [32P]PRPP. B, binding of [32P]UMP. C, binding of [alpha -32P]UTP. In all experiments data from dialyzing in and dialyzing out protocols were combined. In panel C the data from two binding studies were combined.

Binding of [alpha -32P]UTP was too weak to be well characterized by our equilibrium dialysis conditions (Fig. 3C). Binding of UTP was clearly above background, but the dissociation constant could only be characterized as greater than 800 µM.

Equilibrium dialysis studies of the binding of [32P]UMP and [alpha -32P]UTP were repeated with 100 µM each of PyrR and a 36-nucleotide pyr RNA that was known from the studies of Bonner et al. (2) to bind to dilute solutions of PyrR with a dissociation constant in the nanomolar range. The presence of the RNA had no statistically significant effect on the amount of either nucleotide bound to PyrR or their dissociation constants.

    DISCUSSION
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Kinetic Mechanism of the PyrR-catalyzed UPRTase Reaction-- Kinetic and binding constants for the PyrR-catalyzed UPRTase reaction are summarized in Table III. Although we were not able to conduct a product inhibition study of the reverse reaction and, thus, determine a complete set of steady state kinetic constants, the results allow a mechanism to be suggested. We propose here a kinetic mechanism for the UPRTase reaction catalyzed by B. subtilis PyrR that is basically an Ordered Bi Bi mechanism with PRPP binding first and UMP dissociating last. However, to account for the Ping Pong kinetic patterns consistently observed with this enzyme, we have postulated in addition a kinetically irreversible conformational change following the binding of PRPP. This postulate was prompted by the abundant evidence in the literature for conformational changes that accompany or follow binding of PRPP to several Type I PRTases (16, 19-22). Model 1, which fits the observed patterns of product inhibition best, also postulates that PyrR returns to the unliganded conformation before the dissociation of UMP. The following experimental observations are consistent with the proposed kinetic mechanism. (a) Exchange reactions predicted by a classical Ping Pong mechanism involving formation of a phosphoribosyl-enzyme intermediate were not detected. (b) The reverse of the PyrR-catalyzed UPRTase reaction was extremely slow, 3300 times slower than the forward reaction. This observation is consistent with a very slow reversal of the E'(PRPP) conformation to the E(PRPP) conformation, but of course it does not specifically identify this step as rate-limiting for the reverse reaction. (c) PRPP and UMP bound with high affinity to free PyrR, but uracil and PPi did not bind at all at concentrations up to 0.8 mM. This result is consistent with an Ordered Bi Bi mechanism. (d) The kinetic patterns of product inhibition were inconsistent with all of the other mechanisms considered (Table I). (e) The experimentally determined value for the equilibrium constant for the UPRTase reaction, which is 1.2 to 1.5 × 104 at pH 8.5 and 37 °C (29), agreed within a factor of 2 with the value calculated from the Haldane relationship for our proposed mechanism,

                              
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Table III
Kinetic and dissociation constants for the UPRTase activity of PyrR


K<SUB><UP>eq</UP></SUB> = <FR><NU>k<SUB><UP>cat</UP></SUB>(<UP>forward</UP>)(K<SUB>M</SUB> <UP>PP</UP><SUB><UP>i</UP></SUB>)(K<SUB>i</SUB> <UP>UMP</UP>)</NU><DE>k<SUB><UP>cat</UP></SUB>(<UP>reverse</UP>)(K<SUB>M</SUB> <UP>uracil</UP>)(K<SUB>i</SUB> <UP>PRPP</UP>)</DE></FR><UP> = 3 × 10<SUP>4</SUP></UP> (Eq. 5)
We consider this agreement to be acceptable given that the value for the Michaelis constant for PPi could not be determined very accurately and that the dissociation constants for binding of PRPP and UMP used for estimates of the corresponding inhibition constants were determined at pH 7.5 and 0 °C. As is always true of steady state kinetic analysis, consistency of the observations with a given kinetic model does not establish that model conclusively. A complete study of the PyrR-catalyzed UPRTase reaction using pre-steady state methods would be needed to test our model further.

Implications for the Mechanism of Other PRTases-- The Type I phosphoribosyltransferases all catalyze the transfer of a phosphoribosyl group from PRPP to a nitrogenous nucleophilic acceptor with inversion of configuration about C-1 of the ribose moiety, and they all share highly homologous three-dimensional structures (16). It is very likely that the mechanism of catalysis of these PRTases is fundamentally the same. However, both Ping Pong (23-27) and Sequential (28-31) steady state kinetic patterns have been frequently reported. The human HGPRTase has even been reported to display Ping Pong kinetics under some experimental conditions and Sequential kinetics under others (32). A classical Ping Pong mechanism predicts the existence of a free phosphoribosyl-enzyme intermediate and capacity to catalyze exchange reactions between reactant pairs in the absence of co-substrates. These properties have been reported for various PRTases (27, 33), but on further scrutiny the conclusions were invalidated (28, 34, 35). In no case has persuasive evidence for a classic Ping Pong mechanism been put forward for a Type I PRTase. How, then, are the frequent Ping Pong kinetic patterns to be explained? We believe that our irreversible conformational change model for PyrR-catalyzed UPRTase can provide a general solution to this question.

We cited evidence above from both structural and kinetic studies that some PRTases undergo large conformational changes upon the binding of PRPP. In the case of Escherichia coli glutamine PRPP amidotransferase this conformational change was shown to be relatively slow (19). In a very detailed kinetic study, Xu et al. (31) identify the product release step of human HGPRTase, which follows an Order Bi Bi kinetic mechanism, to be rate-limiting in both directions. They suggested that these steps were slow because of rate-limiting conformational changes that accompany or follow them. We propose that binding of PRPP to the free enzyme followed by a conformational change and then by binding of the second substrate is a general property of the Type I PRTases. Furthermore, we suggest that the reversibility of this conformational change determines whether the enzyme will display a Sequential or a Ping Pong kinetic pattern, with the latter resulting from very slow reversal. If this view is correct, we would predict that PRTases displaying Ping Pong kinetic patterns will be either kinetically irreversible or show much slower rates of their reverse reaction than of the forward (PRPP-dependent) reaction. The ratio of catalytic rates constant for the forward versus for the reverse reaction is about 100 for upp-encoded UPRTase from E. coli, for example, which follows a Sequential kinetic pattern (29). Thus, we propose that this ratio would be 1000-fold or greater for PRTases that obey Ping Pong kinetics. This prediction is relatively easy to test. Note that it is not necessary that a given PRTase displaying Ping Pong kinetics obey Model 1; many variants can be imagined that predict the same pattern.

Implications Concerning the Physiological Functions of PyrR-- Even though it bears little amino acid sequence similarity to the UPRTases encoded by bacterial upp genes, PyrR has catalytic properties that are typical of most PRTases. The only significant exception to this was reported previously (8): PyrR has Km values for uracil at physiological pH values that are more than 2 orders of magnitude larger than observed with bacterial UPRTases. Thus, PyrR would be relatively ineffective in uracil salvage. However, B. subtilis (36) and B. caldolyticus (7) pyrR genes have been shown to encode functional UPRTases in vivo.

Two of the most important effectors of PyrR binding to pyr mRNA, UMP and PRPP, are a product and a substrate, respectively, of its UPRTase activity. Our results are consistent with the proposal that these molecules affect PyrR binding to RNA by binding to the UPRTase active site, although they cannot conclusively prove this. The dissociation constants for UMP and PRPP are reasonably close to the concentrations at which they exert half-maximal effects on RNA binding (2) or transcription termination (6), especially given the differences in reaction conditions used in the different studies. PRPP antagonizes the effects of UMP on transcription termination (6), which indicates competition for the same site, a result also obtained in our kinetic studies. UTP exerts similar effects as UMP on transcription termination (6) and binding of PyrR to RNA (2), but 10-100-fold higher concentrations of UTP are required. The kinetic pattern of inhibition of UPRTase activity by UTP and its 10-fold larger inhibition constant supports the idea that UTP also regulates the attenuation functions of PyrR by binding to the UMP portion of the UPRTase active site. Binding of UTP to PyrR was appreciably weaker than we expected, however.

Because UMP and PRPP affect the affinity of PyrR for pyr mRNA, one might expect a reciprocal effect, i.e. alteration of binding of UMP or PRPP by RNA in equilibrium dialysis experiments or effects of RNA on the kinetics of UPRTase activity. No such effects were observed either in the dialysis experiments or in studies of UMP and PRPP saturation of PyrR in UPRTase assays at 37 °C (Ref. 11 and data not shown). However, there was no way to prove that the pyr RNA was bound to PyrR under the conditions of equilibrium dialysis, where the concentration of PyrR was much higher than in RNA binding studies, or at the assay temperature of 37 °C (the binding studies were conducted at 0 °C). A more direct analysis of the interactions between the UPRTase active site and the RNA binding site of PyrR must await the determination of a high resolution structure of a PyrR-RNA complex. Attempts to achieve this goal are in progress.

    ACKNOWLEDGEMENTS

We acknowledge Michael Becker for providing the purified adenine phosphoribosyltransferase used in assays of the reverse reaction and Bryce Plapp for the Kinsim computer program used in analysis of kinetic data.

    FOOTNOTES

* The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. Section 1734 solely to indicate this fact.

Published, JBC Papers in Press, December 13, 2002, DOI 10.1074/jbc.M211111200

    ABBREVIATIONS

The abbreviations used are: UPRTase, uracil phosphoribosyltransferase (PRTase); PRPP, phosphoribosylpyrophosphate.

    REFERENCES
TOP
ABSTRACT
INTRODUCTION
EXPERIMENTAL PROCEDURES
RESULTS
DISCUSSION
REFERENCES

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