Kinetic model for the action of the inorganic pyrophosphatase from Streptococcus faecalis

Kinetic studies of the less active form of Streptococcus faecalis inorganic pyrophosphatase (EC 3.6.1.1), together with computational analysis, indicated that cooperativity in ligand binding contributes in a significant way to the behavior of this enzyme. The simplest model applicable to our data was a Monod-Wyman-Changeux-type, allosteric model, in which the enzyme is proposed to exist in two states, referred to as R and T states, respectively. In the absence of ligands, 94% of the enzyme was in the T state. MgPPi2- was the only substrate for the enzyme in the R form. This substrate was bound equally well by both enzyme forms, but it was hydrolyzed 5 times more efficiently by the R form than it was by the T form. Mg2PPi was bound exclusively to the T state of the enzyme, and it was hydrolyzed 25% as rapidly as MgPPi2- by the T form. Mg2PPi inhibited the hydrolysis of the more efficient substrate, MgPPi2-, by competing with MgPPi2- for the enzyme in the T form and by shifting the R----T equilibrium in favor of the T form. Mg2+ stabilized the R state, thus activating the hydrolysis of MgPPi2- and inhibiting that of Mg2PPi.     

Effects of spermine and spermidine on the inorganic pyrophosphatase of Streptococcus faecalis. Interactions between polyamines and inorganic pyrophosphate.

We have shown a dual role for Mg2+ in the hydrolysis of PPi catalysed by inorganic pyrophosphatase (PPase; EC 3.6.1.1) of Streptococcus faecalis; Mg2+ is necessary for the formation of the substrates, Mg1PPi2- and Mg2PPi0, and it also acts as an allosteric activator [Lahti + Jokinen (1985) Biochemistry 24, 3526-3530]. No activity can be observed with S. faecalis PPase in the absence of bivalent cations, which indicates that free PPi cannot serve as a substrate for this enzyme. However, significant activities were observed in the presence of spermine and spermidine, even though no bivalent cations were present. It was shown by particle-induced gamma-ray emission and particle-induced X-ray-emission analysis that the polyamines used were not contaminated with Mg2+ or any other bivalent cations that could support PPase activity. Hence it is obvious that polyamines are able to form a complex with PPi that serves as a substrate for PPase. The apparent stability constants for the 1:1 adducts of spermine and spermidine were estimated by a resin competition method. The values obtained at pH 7.5 were 2.7 X 10(3) M-1 and 6.4 X 10(2) M-1 respectively. Kinetic results further suggested that polyamines can also substitute for Mg2+ as an activator in vitro. The physiological significance of these polyamine effects were discussed.     

Purification and kinetic properties of human erythrocyte Mg2+-dependent inorganic pyrophosphatase

Inorganic pyrophosphatase (pyrophosphate phosphohydrolase, EC 3.6.1.1) from human erythrocyte hemolysates has been purified up to 10 000-fold. The purified enzyme is homogenous and has a specific activity of 79.75 mumol PPi hydrolysed.min-1.mg-1 at pH 8 and 37 degrees C. It was confirmed that it is a dimer with a molecular weight of 42 000, composed of two identical protomers. From kinetic studies, it is proposed that human erythrocyte inorganic pyrophosphatase activity depends on free Mg2+ concentration in different ways. This ion constitutes part of the substrate (the Mg.PPi complex; Km = 1.4.10(-4) M) and probably acts as an allosteric activator (kinetic activation constant: KMg2+a = 7.5.10(-4) M). Equilibrium binding studies performed in the absence of PPi showed 4 binding sites for Mg2+, all having the same high affinity (dissociation constant: KMg2+d = 4.10(-6) M). Since the concentration of free Mg2+ in red blood cells is very low and may vary with the oxygenation state, it is likely that in vivo erythrocyte pyrophosphatase activity is regulated.     

Kinetic models for the action of cytosolic and mitochondrial inorganic pyrophosphatases of rat liver

Initial rates of PPi hydrolysis by cytosolic and mitochondrial inorganic pyrophosphatases of rat liver have been measured in the presence of 0.2-100 microM MgPPi and 0.01-50 mM Mg2+ at pH 7.2 to 9.3. The apparently simplest model consistent with the data for both enzymes implies that they bind substrate, in the form of MgPPi, and three Mg2+ ions, of which two are absolutely required for activity. The third metal ion facilitates substrate binding but decreases maximal velocity for the cytosolic enzyme, while substrate binding is only modulated for the mitochondrial enzyme. The model is also applicable to bovine heart mitochondrial pyrophosphatases. The active form of the substrate for the cytosolic pyrophosphatase is MgP2O7(-2); the catalytic and metal-binding steps require a protonated group with pKa = 9.2 and an unprotonated group with pKa = 8.8, respectively. The results indicate that the mitochondrial pyrophosphatase is more sensitive to variations of Mg2+ concentration in rat liver cells than is the cytosolic one.     

Catalytic properties of the inorganic pyrophosphatase in rat liver mitochondria.

Intact rat liver mitochondria have very low hydrolytic activity, if any, toward exogenous pyrophosphate. The activity can be unmasked by making mitochondria permeable to PPi by toluene treatment or disrupting them with detergents or ultrasound, indicating that the active site of pyrophosphatase is located in the matrix. Initial rates of PPi hydrolysis by toluene-permeabilized mitochondria and purified pyrophosphatase were found to depend in a similar manner on PPi and Mg2+ concentrations. The simplest model consistent with the data in both cases implies that the reaction proceeds through two pathways and requires MgPPi as the substrate and, at least, one Mg2+ ion as the activator. In the presence of 0.4 mM Mg2+ (physiological concentration), the inhibition constant for Ca2+ is 12 microM and the enzyme activity is, at least, 50% maximal. The results suggest that the activity of pyrophosphatase in mitochondria is high enough to keep free PPi concentration at a level close to that at equilibrium.     

Catalytic properties of inorganic pyrophosphatase in rat liver mitochondria]

Intact rat liver mitochondria possess a very low hydrolytic activity, if any, towards exogenous pyrophosphate. This activity can be unmasked by making mitochondria permeable to PPi by toluene treatment or by disrupting them with detergents or ultrasound, thus indicating that the active site of pyrophosphatase is localized in the matrix. The initial rates of PPi hydrolysis of toluene-permeabilized mitochondria and purified pyrophosphatase were found to depend, in a similar manner, on PPi and Mg2+ concentrations. The simplest model consistent with these data in both cases implies that the reaction proceeds via two pathways and requires MgPPi as substrate and at least one Mg2+ ion as activator. In the presence of 0.4 mM Mg2+ (physiological concentration) the inhibition constant for Ca2+ is 12 microM and the enzyme activity is no less than 50% of the maximal one. The data obtained suggest that the activity of pyrophosphatase in mitochondria is high enough to keep free PPi concentration at a level close to the equilibrium one.     

Kinetic studies on the interactions of two forms of inorganic pyrophosphatase of heart mitochondria with physiological ligands

A scheme of interactions of Mg2+ ions and their 1:1 complex with PPi (PPiMg') with two forms of inorganic pyrophosphatase isolated from beef heart mitochondria has been deduced from the analysis of enzyme kinetics at pH varying from 5.6 to 8.5. The scheme implies the existence of two catalytically important metal-binding sites on the enzyme. The two enzyme forms differ in maximal velocity and affinity for the metal activator. The pH dependence of kinetic parameters suggests that the active form of the substrate is MgP2O2-7. Ca2+ ions strongly inhibit pyrophosphatase activity and the corresponding Hill coefficient is 1.5. Phosphate and ATP are weak inhibitors of pyrophosphatase of the competitive and noncompetitive type respectively. The results show that these forms of mitochondrial pyrophosphatase are similar to pyrophosphatases isolated from other sources.     

Reversible inactivation of rat liver inorganic pyrophosphatase by substrate and its analogs.

Dissociation of Mg2+ from one of the two metal-binding sites whose occupancy is absolutely required for catalysis by rat liver inorganic pyrophosphatase is a slow reaction (tau 1/2 = 3 h). Polycarboxylic Mg2+ complexons markedly accelerate this process due to their binding with Mg2+ on the enzyme. PPi, ATP and a number of diphosphonate analogs of PPi also bind with Mg2+ on the enzyme with concomitant decrease in enzyme activity by 75% but do not release the bound Mg2+. The resulting ternary complex rapidly (tau 1/2 of several seconds) dissociates upon dilution into substrate-free medium. PPi and imidodiphosphate, which are substrates for pyrophosphatase, decrease the rate of reactivation by at least two orders of magnitude. The results can be explained by existence of two interconvertible forms of the enzyme, of which one is inactive and is stabilized by substrate or its analogs.     

Isolation and catalytic properties of the soluble monomeric form of inorganic pyrophosphatase from baker's yeast

Data from sedimentation analysis suggest that modification of about 40% of free amino groups of inorganic pyrophosphatase by maleic anhydride, pH 10.5, results in a loss of the enzyme ability to form dimers at neutral values of pH. The specific activity of monomeric pyrophosphatase is 50-80% of that of the dimeric form. The monomer has a pH optimum of about 7, requires metal ions for activation of both enzyme and substrate and is capable of exergonic synthesis of PPi in the active center. The enzyme binding to PPi is strongly stabilized by fluoride. The experimental data indicate that the individual subunit of inorganic pyrophosphatase possesses all the main catalytic properties of native dimeric molecule.     

Thermodynamics, kinetics, and mechanism in yeast inorganic pyrophosphatase catalysis of inorganic pyrophosphate: inorganic phosphate equilibration

We have developed two methods for quantitatively measuring inorganic pyrophosphate (PPi) in the presence of 10(3)--10(4) molar excesses of inorganic phosphate (Pi) and used them to measure the extent of enzyme-bound pyrophosphate (EPPi) formation in solutions of yeast inorganic pyrophosphatase and Pi. We have also measured the rate of enzyme-catalyzed H2O--phosphate oxygen exchange. We find both processes to have essentially identical dependence on Mg2+ and Pi concentrations, thus providing important confirmation for the recent proposal by Janson et al. (1979) that oxygen exchange proceeds via EPPi formation. Our results are consistent with a model in which three Mg2+ per active site are required for EPPi formation but inconsistent with a model requiring only two Mg2+ per active site and permit the formulation of an overall scheme for inorganic pyrophosphatase catalysis of PPi--Pi equilibration as well as the evaluation of equilibrium and rate constants in this scheme. The major results and conclusions of our work are the following: (a) the equilibrium constant for PPi (enzyme-bound) in equilibrium with 2Pi (enzyme-bound) is 4.8; (b) following PPi hydrolysis, the first released Pi contains an oxygen from solvent water; (c) the steps for PPi hydrolysis on the enzyme and for release of both product Pi's are all partially rate determining in overall enzyme-catalyzed PPi hydrolysis; (d) PPi formation on the enzyme is rate determining for H2O--Pi oxygen exchange; (e) PPi dissociation from the enzyme is very slow and is the rate-determining step in Pi--PPi exchange (Cohn, 1958; Janson et al., 1979). This also accounts for the observation that the calculated dissociation constant for MgPPi complex binding to enzyme is considerably lower than the measured Km for enzyme-catalyzed MgPPi hydrolysis.     

Kinetic characterization and partial purification of the membrane-bound inorganic pyrophosphatase from Rhodopseudomonas palustris

A membrane-bound inorganic pyrophosphatase from Rhodopseudomonas palustris has been studied by kinetic analysis. The enzymatic activity was stimulated by Mg2+, and the (Mg-PPi) complex is regarded to be the functional substrate. Free Mg2+ revealed a significant influence on the membrane-bound PPiase activity. Kinetic data were determined at various fixed concentrations of free Mg2+. Mg2+ is proposed to act as an activator in two ways. It may interact with the enzyme directly, and may combine with PPi to yield the functional substrate Mg-PPi. Ca2+ revealed a non-competitive type of inhibition on the Mg2+-activated enzyme. The membrane-bound PPiase activity was firmly attached to the chromatophore membrane. To achieve an almost entire solubilization, both, Triton X-100 and high concentrations of Mg2+, had to be applied. An enrichment method along with stepwise lowering the concentrations of Triton X-100 and Mg2+ after the solubilization has been established. The solubilized and partially purified enzyme was stimulated by phospholipids while the influence of free Mg2+ was lost. Three different energies of activation as a function of temperature were derived from Arrhenius plots for the membrane-bound as well as for the solubilized PPiase activity.     

Allosteric regulation of yeast inorganic pyrophosphatase by substrate

Kinetic and binding studies of yeast inorganic pyrophosphatase (EC 3.6.1.1) revealed a regulatory PPi-binding site. Rate vs substrate concentration dependencies were markedly nonhyperbolic in the range of 0.1-150 microM MgPPi at fixed Mg2+ levels of 0.05-10 mM provided that the enzyme had been preequilibrated with Mg2+. Imidodiphosphate, hydroxymethylenebisphosphonate, and phosphate eliminated the deviations from the Michaelis-Menten kinetics and inhibited PPi hydrolysis in a manner consistent with their binding at both active and regulatory sites. The results agreed with a model in which binding of uncomplexed PPi at the regulatory site markedly increases enzyme affinity for the activating Mg2+ ion. Ultrafiltration studies revealed the binding of at least 3 mol of the inhibitory hydroxymethylenebisphosphonate and of 2 mol of noninhibitory methylenebisphosphonate per mole of the dimeric enzyme.     

Cooperative mechanism of phosphorylation of the monomeric and dimeric forms of inorganic pyrophosphatase from baker's yeast

A comparative study of phosphorylation of native dimeric and artificial monomeric forms of inorganic pyrophosphatase and its fluoride-stabilized complex with PPi has been carried out. The maximal incorporation of Pi for the dimeric and monomeric proteins is 0.5 and 1 mole per mole of subunit, respectively. The saturation kinetic curves are suggestive of strong positive cooperative interactions. The value of the Hill coefficient (5.5) for the free dimeric enzyme drastically changes upon the active center blockage and/or transition to the monomeric enzyme. Acceleration of dephosphorylation induced by Pi in the presence of Mg2+ is observed only in the case of the dimeric protein. The data obtained indicate that phosphorylation of native dimeric pyrophosphatase occurs according to a "flip-flop" mechanism; the Pi binding in the active center exerts a strong influence on individual steps of the reaction.     

Inhibition of inorganic pyrophosphatase of animal mitochondria by calcium

Calcium ion is an uncompetitive inhibitor of the inorganic pyrophosphatases of bovine heart and rat liver mitochondria with respect to substrate MgPPi at pH 8.5 and a non-competitive inhibitor of the former enzyme at pH 7.2. The concentration of Ca2+ required to decrease the maximal velocities for both enzymes at pH 8.5, 0.4 mM Mg2+ was about 10 microM. The inhibition results from the binding of two Ca2+ ions to both free enzymes and their complexes with the substrate. The results suggest that Ca2+ regulates pyrophosphatase activity and hence PPi level in mammalian mitochondria.     

Purification and characterization of an inorganic pyrophosphatase from the extreme thermophile Thermus aquaticus.

An inorganic pyrophosphatase was purified over 600-fold to homogeneity as judged by polyacrylamide gel electrophoresis. The enzyme is a tetramer of Mr = 84,000, has a sedimentation coefficient of 5.8S, a Stokes radius of 3.5 nm, and an isoelectric point of 5.7. Like the enzyme of Escherichia coli, the pyrophosphatase appears to be made constitutively. The pH and temperature optima are 8.3 and 80 degrees C, respectively. The Km for PPi is 0.6 mM. A divalent cation is essential, with Mg2+ preferred. The enzyme uses only PPi as a substrate.     

The formation of enzyme-bound and medium pyrophosphate and the molecular basis of the oxygen exchange reaction of yeast inorganic pyrophosphatase.

Yeast inorganic pyrophosphatase, with 10 mM 32Pi and 10 mM Mg2+ present at pH 7.3 TO 7.6, rapidly forms enzyme-bound pyrophosphate equivalent to about 5% of the total catalytic sties on the two enzyme subunits. The enzyme thus appears to bind PPi so as to favor thermodynamically its formation from Pi. The enzyme catalyzes a measurable equilibrium formation of free PPi at a much slower rate. Under similar conditions, the enzyme catalyzes a rapid exchange of oxygen atoms between Pi and water with the relative activation by metals being Mg2+ greater than Zn2+ greater than Co2+ greater than Mn2+. Millisecond mixing and quenching experiments demonstrate that the rate of formation and cleavage of the enzyme-bound PPi is rapid enough to explain most or all of the oxygen exchange reaction.     

Two pathways of pyrophosphate hydrolysis and synthesis by yeast inorganic pyrophosphatase.

Initial rates of pyrophosphate hydrolysis and synthesis by baker's yeast inorganic pyrophosphatase and equilibrium amounts of enzyme-bound and free pyrophosphate were measured over wide ranges of Mg2+ and respective substrate concentrations. Computer analysis of these data, in conjunction with those on phosphate/water oxygen exchange [Kasho, V. N. & Baykov, A. A. (1989) Biochem. Biophys. Res. Comm. 161, 475-480], yielded values of the equilibrium constants for Mg2+ binding to free enzyme and central complexes and values of the forward and reverse rate constants for the four reaction steps, namely, PPi binding/release, PPi hydrolysis/synthesis and two Pi binding/release steps. All catalytic steps were found to proceed through two parallel pathways, involving 3 or 4 Mg2+/PPi or 2 Pi bound. Product release is the slowest catalytic event in both hydrolysis and synthesis of pyrophosphate, at least, for the four-metal pathway. In the hydrolytic reaction, magnesium pyrophosphate binding is faster for the four-metal pathway, dissociation of the second Pi is faster for the three-metal pathway, while PPi hydrolysis and the release of the first Pi may proceed with similar rates. Release of pyrophosphate formed on the enzyme is faster for the three-metal pathway. Both pathways are expected to operate in vivo, and their relative contributions will vary with changes in the Mg2+ concentration, thus providing a means for pyrophosphatase-activity regulation.     

Two-stage mechanism of the fluoride inhibition of inorganic pyrophosphatase using the fluoride ion

Some kinetic and spectral approaches have been used to study the interactions in the enzyme-Mg2+-F--pyrophosphate (or imidodiphosphate, a non-hydrolyzeable pyrophosphate analog) system underlying the mechanism of yeast inorganic pyrophosphatase inhibition by fluoride. The continuous curves of the enzymatic reaction were obtained with an automatic phosphate analyzer operating on the time scale of seconds. Increasing concentrations of NaF caused an increase in the inactivation rate constant to a constant level of 5.3 min-1 for PPi (pH 6.2-7.2) and 3.9 min-1 for imidodiphosphate, (pH 7.2). At a saturating fluoride concentration, the initial rate of PPi hydrolysis dropped to 10%. NaF and imidodiphosphate changed the protein spectrum at 270-310 nm and strengthened the binding of each other to the protein. The binding of F- required a Mg2+-binding site with Kd = 0.15 mM being filled in. The free enzyme and its Ca2+ complex did not bind F-. The experimental results indicate that pyrophosphatase inhibition by fluoride occurs in two steps. The inhibitor adds first to the Mg2+ ion on the enzyme in a readily reversible reaction causing a 90% decrease of the catalytic activity. Thereafter, a slow isomerization of the enzymesubstrate complex takes place, resulting in a complete loss of activity.     

Inhibition of mitochondrial-matrix inorganic pyrophosphatase by physiological [Ca2+], and its role in the hormonal regulation of mitochondrial matrix volume.

1. The pyrophosphatase activity in cytosolic and mitochondrial fractions of rat liver was 1.7 and 0.26 units/mg of protein respectively when assayed at 37 degrees C in the presence of physiological [Mg2+] (0.3 mM). 2. Approx. 80% of the mitochondrial pyrophosphatase was inaccessible to extramitochondrial PPi, of which 40% represented soluble matrix enzyme (0.38 unit/mg of matrix protein). 3. Ca2+ inhibited the soluble matrix enzyme; the effective K0.5 for inhibition increased as [Mg2+], an essential cofactor of the enzyme, increased. Measured values were 0.39, 1.15, 3.7, 8.3 and 12.5 microM at 0.04 mM-, 0.1 mM-, 0.3 mM-, 0.6 mM- and 1 mM-Mg2+ respectively. 4. The data were analysed by a kinetic model similar to that for yeast pyrophosphatase, which assumes the substrate to be MgPPi (Km 5 microM) with Mg2+ also activating at an additional site (K0.5 23 microM). Ca2+ inhibits through the formation of CaPPi, a strong competitive inhibitor (Ki 0.067 microM). 5. Heart mitochondria also contain a soluble matrix pyrophosphatase of similar activity to that of liver mitochondria and with the same sensitivity to [Ca2+]. 6. The data provide an explanation for the increase in mitochondrial PPi, mediated by Ca2+, which is responsible for the increase in matrix volume induced by gluconeogenic hormones [Davidson & Halestrap (1988) Biochem. J. 254, 379-384].     

Properties and regulation of Mg2+-dependent chloroplast inorganic pyrophosphatase from Sorghum vulgare leaves

A Mg2+ dependent inorganic pyrophosphatase from chloroplasts of Sorghum vulgare has been purified 275-fold to electrophoretic purity with an overall recovery of about 25% activity. Estimations of native and monomeric relative molecular weights by size exclusion chromatography and denaturing electrophoresis suggest that the holoenzyme is a monomer of 42 +/- 1.5 kDa. A high specificity for tetrasodium pyrophosphate (PPi) as substrate has been observed, as the other phosphoesters tested were virtually unaffected. The Mg2+:PPi ratio of 5:1 at pH 8.0 shifts to 2.5:1.0 at pH 9.0 and 10:1 at pH 7.0. None of the divalent cations tested could substitute for Mg2+. Further, in the presence of Mg2+, these divalent cations inhibit the catalytic hydrolysis of PPi. EDTA rapidly and irreversibly inactivates the purified enzyme in a biphasic manner. Of the metabolites tested, Pi and L-malate significantly inhibited the catalytic activity of the enzyme. Malate inhibits the enzyme through an allosteric mechanism. A Hill plot of this inhibition shows that at least two molecules of malate bind to each molecule of the purified enzyme. The likely physiological significance of this result is discussed.