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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.

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Four different techniques, equilibrium dialysis, protection of enzymatic activity against chemical inactivation, 31P relaxation rats, and water proton relaxation rates, are used to study divalent metal ion, inorganic phosphate, and inorganic phosphate analogue binding to yeast inorganic pyrophosphatase, EC 3.6.1.1. A major new finding is that the binding of a third divalent metal ion per subunit, which has elsewhere been implicated as being necessary for enzymatic activity [Springs, B., Welsh, K. M., & Cooperman, B. S. (1981) Biochemistry (in press)], only becomes evident in the presence of added inorganic phosphate and that, reciprocally, inorganic phosphate binding to both its high- and low-affinity sites on the enzyme is markedly enhanced in the presence of divalent metal ions, with Mn2+ causing an especially large increase in affinity. The results obtained allow evaluation of all of the relevant equilibrium constants for the binding of Mn2+ and inorganic phosphate or of Co2+ and inorganic phosphate to the enzyme and show that the high-affinity site has greater specificity for inorganic phosphate than the low-affinity site. In addition, they provide. The results obtained allow evaluation of all of the relevant equilibrium constants for the binding of Mn2+ and inorganic phosphate or of Co2+ and inorganic phosphate to the enzyme and show that the high-affinity site has greater specificity for inorganic phosphate than the low-affinity site. In addition, they provide. The results obtained allow evaluation of all of the relevant equilibrium constants for the binding of Mn2+ and inorganic phosphate or of Co2+ and inorganic phosphate to the enzyme and show that the high-affinity site has greater specificity for inorganic phosphate than the low-affinity site. In addition, they provide evidence against divalent metal ion inner sphere binding to phosphate for enzyme subunits having one or two divalent metal ions bound per subunit and evidence for a conformational change restricting active-site accessibility to solvent on the binding of a third divalent metal ion per subunit.

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