A general method for the analysis of random bisubstrate enzyme mechanisms

In the present communication, a general method for the kinetic analysis of random bisubstrate mechanisms is described. The method comprises a stepwise application of the following kinetic and ligand-binding experiments: determination of steady-state kinetic constants, product inhibition patterns, maximum rate relationships, application of alternate substrates, application of dead-end inhibitors, direct binding of substrates, kinetic isotope effects, and isotope exchange studies. This general method was applied to a practical example: a yeast alcohol dehydrogenase-catalyzed oxidation of 2-propanol by NAD⁺ at pH 7.0, 25°C. It was found that this fully reversible reaction proceeds by a steady-state random Bi-Bi mechanism, whereby both dead-end complexes are formed.     

Studies on the mechanism and kinetics of the 2-oxoglutarate dehydrogenase system from pig heart.

1. The kinetic properties of the 2-oxoglutarate dehydrogenase system were investigated. To this end, initial-velocity studies were carried out by the method of Fromm [(1967) Biochim. Biophys. Acta 139, 221-230]. Reciprocal plots of the results did not agree with those expected for the Hexa Uni Ping Pong mechanism previously proposed for the system. 2. The measured initial velocities were fitted to initial-rate equations corresponding to several possible mechanisms by using a computer optimization technique. Statistical analyses performed on the results of the optimization studies indicated that one mechanism was a significantly better fit to the experimental data than the other mechanisms tested. This mechanism is one in which there is a random order of binding of NAD+ and CoA and release of succinyl-CoA, although the binding of 2-oxoglutarate and release of CO2 is still given a Ping Pong mechanism, which precedes the binding of the other substrates. These conclusions were supported by NADH-inhibition studies. 3. The usefulness of the method of fitting initial-rate data to rate equations and the applicability of the proposed enzymic mechanism to the enzyme complex are discussed.     

Arginyl-tRNA synthetase from Mycobacterium smegmatis SN2: purification and kinetic mechanism

Arginyl-tRNA synthetase [L-Arg: tRNAArg ligase (AMP forming) EC 6.1.1.19] has been purified to homogeneity from Mycobacterium smegmatis SN2. The enzyme is a monomer of molecular weight 56,000. The kinetic patterns obtained by initial velocity and product inhibition studies are consistent with a rapid equilibrium random ter ter mechanism. Polyamines stimulated the formation of arginyl-tRNA, the stimulation being more significant at sub-optimal Mg2+ concentrations. Initial velocity studies performed in the presence of sub-optimal Mg2+ and spermine also indicated that the kinetic mechanism remained sequential random. Various attempts to reveal the formation of enzyme-bound arginyl-adenylate provided no evidence for its existence. The reverse reaction, i.e., the deacylation of arginyl-tRNA, required both AMP and PPi. This observation is consistent with the mechanism proposed.     

The complete pathway for ERK2-catalyzed reaction. Evidence for an iso random Bi Bi mechanism

In the present study, the enzymatic mechanism of ERK2 is re-examined by a combination of steady-state kinetic studies in the absence and presence of viscosogenic agents. Kinetic studies carried out in various concentrations of sucrose revealed that both k(cat) and k(cat)/K(m) for either ATP or EtsDelta138 were highly sensitive to solvent viscosity, suggesting that the rapid equilibrium assumption is not valid for the phosphorylation of protein substrate by ERK2. Furthermore, the kinetic analysis with the minimal random Bi Bi reaction mechanism is shown to be inconsistent with the principle of the detailed balance. This inconsistent calculation strongly suggests that there is isomerization of the enzyme-substrate ternary complex. The viscosity-dependent steady-state kinetic data are combined to establish a kinetic mechanism for the ERK2-catalyzed reaction that predicts initial reaction velocities under varying concentrations of ATP and substrate. These results complement previous structure-function studies of mitogen-activated protein kinases and provide important insight for mechanistic interpretation of the kinase functions.     

New insights into the catalytic mechanism of human glycine N‐acyltransferase

Even though the glycine conjugation pathway was one of the first metabolic pathways to be discovered, this pathway remains very poorly characterized. The bi‐substrate kinetic parameters of a recombinant human glycine N‐acyltransferase (GLYAT, E.C. 2.3.1.13) were determined using the traditional colorimetric method and a newly developed HPLC–ESI‐MS/MS method. Previous studies analyzing the kinetic parameters of GLYAT, indicated a random Bi–Bi and/or ping‐pong mechanism. In this study, the hippuric acid concentrations produced by the GLYAT enzyme reaction were analyzed using the allosteric sigmoidal enzyme kinetic module. Analyses of the initial rate (v) against substrate concentration plots, produced a sigmoidal curve (substrate activation) when the benzoyl‐CoA concentrations was kept constant, whereas the plot with glycine concentrations kept constant, passed through a maximum (substrate inhibition). Thus, human GLYAT exhibits mechanistic kinetic cooperativity as described by the Ferdinand enzyme mechanism rather than the previously assumed Michaelis–Menten reaction mechanism.     

The kinetic mechanisms of the bifunctional enzyme aspartokinase-homoserine dehydrogenase I from Escherichia coli

The kinetic mechanisms of the reactions catalyzed by the two catalytic domains of aspartokinase-homoserine dehydrogenase I from Escherichia coli have been determined. Initial velocity, product inhibition, and dead-end inhibition studies of homoserine dehydrogenase are consistent with an ordered addition of NADPH and aspartate beta-semialdehyde followed by an ordered release of homoserine and NADP+. Aspartokinase I catalyzes the phosphorylation of a number of L-aspartic acid analogues and, moreover, can utilize MgdATP as a phosphoryl donor. Because of this broad substrate specificity, alternative substrate diagnostics was used to probe the kinetic mechanism of this enzyme. The kinetic patterns showed two sets of intersecting lines that are indicative of a random mechanism. Incorporation of these results with the data obtained from initial velocity, product inhibition, and dead-end inhibition studies at pH 8.0 are consistent with a random addition of L-aspartic acid and MgATP and an ordered release of MgADP and beta-aspartyl phosphate.     

The kinetic mechanism of rat kidney gamma-glutamylcysteine synthetase.

A detailed kinetic investigation was made of the binding mechanism of gamma-glutamylcysteine synthetase purified from rat kidney. The results of initial rate and inhibition studies are consistent with a partially random mechanism in which ATP is the obligatory first substrate and both amino acids bind in a random order to the enzyme-ATP complex. Formation of the enzyme-substrate quaternary complex is necessary prior to release of products. This mechanism is consistent with previous binding studies with the enzyme and while it does not rule out participation of enzyme-bound gamma-glutamyl phosphate as an intermediate in catalysis, such an intermediate cannot be a discrete covalent complex.     

Kinetic characterization of the calmodulin-activated catalytic subunit of phosphorylase kinase

The phosphorylase kinase holoenzyme from skeletal muscle is composed of a catalytic and three different regulatory subunits. Analysis of the kinetic mechanism of the holoenzyme is complicated because both the natural substrate phosphorylase b and also phosphorylase kinase itself have allosteric binding sites for adenine nucleotides. In the case of the kinase, these allosteric sites are not on the catalytic subunit. We have investigated the kinetic mechanism of phosphorylase kinase by using its isolated catalytic gamma-subunit (activated by calmodulin) and an alternative peptide substrate (SDQEKRKQISVRGL) corresponding to the convertible region of phosphorylase b, thus eliminating from our system all known allosteric binding sites for nucleotides. This peptide has been previously employed to study the kinetic mechanism of the kinase holoenzyme before the existence of the allosteric sites on the regulatory subunits was suspected [Tabatabai, L. B., & Graves, D. J. (1978) J. Biol. Chem. 253, 2196-2202]. This peptide was determined to be as good an alternative substrate for the isolated catalytic subunit as it was for the holoenzyme. Initial velocity data indicated a sequential kinetic mechanism with apparent Km's for MgATP and peptide of 0.07 and 0.47 mM, respectively. MgADP used as product inhibitor showed competitive inhibition against MgATP and noncompetitive inhibition against peptide, whereas with phosphopeptide as product inhibitor, the inhibition was competitive against both MgATP and peptide. The initial velocity and product inhibition studies were consistent with a rapid equilibrium random mechanism with one abortive complex, enzyme-MgADP-peptide. The substrate-directed, dead-end inhibitors 5'-adenylyl imidodiphosphate and Asp-peptide, in which the convertible Ser of the alternative peptide substrate was replaced with Asp, were competitive inhibitors toward their like substrates and noncompetitive inhibitors toward their unlike substrates, further supporting a random mechanism, which was also the conclusion from the report cited above that used the holoenzyme.     

Uridine phosphorylase from Escherichia coli B.: kinetic studies on the mechanism of catalysis

Using a highly purified enzyme preparation of uridine phosphorylase from Escherichia coli B, we have performed detailed kinetic studies which include initial-velocity and product-inhibition experiments in the forward and reverse directions of the reaction. These studies indicate a rapid-equilibrium random mechanism for this enzyme with the formation of an enzyme . uracil phosphate abortive complex. Lack of formation of the enzyme . uridine . ribose-1-phosphate abortive complex suggests that the ribosyl moiety of the two ligands compete for the same binding site. The random mechanism is different from the ordered addition of substrates found for uridine phosphorylase from other sources. All the kinetic constants in the forward and reverse directions and the Keq of reaction for E. coli uridine phosphorylase are reported herein.     

Nucleotide regulation of Escherichia coli glycerol kinase: initial-velocity and substrate binding studies

Substrate binding to Escherichia coli glycerol kinase (EC 2.7.1.30; ATP-glycerol 3-phosphotransferase) was investigated by using both kinetics and binding methods. Initial-velocity studies in both reaction directions show a sequential kinetic mechanism with apparent substrate activation by ATP and substrate inhibition by ADP. In addition, the Michaelis constants differ greatly from the substrate dissociation constants. Results of product inhibition studies and dead-end inhibition studies using 5'-adenylyl imidodiphosphate show the enzyme has a random kinetic mechanism, which is consistent with the observed formation of binary complexes with all the substrates and the glycerol-independent MgATPase activity of the enzyme. Dissociation constants for substrate binding determined by using ligand protection from inactivation by N-ethylmaleimide agree with those estimated from the initial-velocity studies. Determinations of substrate binding stoichiometry by equilibrium dialysis show half-of-the-sites binding for ATP, ADP, and glycerol. Thus, the regulation by nucleotides does not appear to reflect binding at a separate regulatory site. The random kinetic mechanism obviates the need to postulate such a site to explain the formation of binary complexes with the nucleotides. The observed stoichiometry is consistent with a model for the nucleotide regulatory behavior in which the dimer is the enzyme form present in the assay and its subunits display different substrate binding affinities. Several properties of the enzyme are consistent with negative cooperativity as the basis for the difference in affinities. The possible physiological importance of the regulatory behavior with respect to ATP is considered.     

Kinetic formulations for the reduction of ketomalonate by lactate dehydrogenase

Initial rate kinetic studies of lactate dehydrogenase with ketomalonate and NADH as substrates suggest that this enzymatic system is adapted to a rapid equilibrium ordered bi-bi ternary complex mechanism. The application of the reaction product inhibition method reveals the existence of the enzyme-NADH-hydroxymalonate and enzyme-NAD(+)-ketomalonate abortive complexes. This kinetic behaviour is confirmed by the differential inhibition induced by several alternate products on the pyruvate-lactate dehydrogenase-NADH and ketomalonate-lactate dehydrogenase-NADH systems.     

Complete kinetic mechanism of homoisocitrate dehydrogenase from Saccharomyces cerevisiae

The kinetic mechanism of homoisocitrate dehydrogenase from Saccharomyces cerevisiae was determined using initial velocity studies in the absence and presence of product and dead end inhibitors in both reaction directions. Data suggest a steady state random kinetic mechanism. The dissociation constant of the Mg-homoisocitrate complex (MgHIc) was estimated to be 11 +/- 2 mM as measured using Mg2+ as a shift reagent. Initial velocity data indicate the MgHIc complex is the reactant in the direction of oxidative decarboxylation, while in the reverse reaction direction, the enzyme likely binds uncomplexed Mg2+ and alpha-ketoadipate. Curvature is observed in the double-reciprocal plots for product inhibition by NADH and the dead-end inhibition by 3-acetylpyridine adenine dinucleotide phosphate when MgHIc is the varied substrate. At low concentrations of MgHIc, the inhibition by both nucleotides is competitive, but as the MgHIc concentration increases, the inhibition changes to uncompetitive, consistent with a steady state random mechanism with preferred binding of MgHIc before NAD. Release of product is preferred and ordered with respect to CO2, alpha-ketoadipate, and NADH. Isocitrate is a slow substrate with a rate (V/E(t)) 216-fold slower than that measured with HIc. In contrast to HIc, the uncomplexed form of isocitrate and Mg2+ bind to the enzyme. The kinetic mechanism in the direction of oxidative decarboxylation of isocitrate, on the basis of initial velocity studies in the absence and presence of dead-end inhibitors, suggests random addition of NAD and isocitrate with Mg2+ binding before isocitrate in rapid equilibrium, and the mechanism approximates rapid equilibrium random. The Keq for the overall reaction measured directly using the change in NADH as a probe is 0.45 M.     

Chemical and kinetic mechanisms of aspartate-beta-semialdehyde dehydrogenase from Escherichia coli.

The chemical and kinetic mechanisms of purified aspartate-beta-semialdehyde dehydrogenase from Escherichia coli have been determined. The kinetic mechanism of the enzyme, determined from initial velocity, product and dead end inhibition studies, is a random preferred order sequential mechanism. For the reaction examined in the phosphorylating direction L-aspartate-beta-semialdehyde binds preferentially to the E-NADP-Pi complex, and there is random release of the products L-beta-aspartyl phosphate and NADPH. Substrate inhibition is displayed by both Pi and NADP. Inhibition patterns versus the other substrates suggest that Pi inhibits by binding to the phosphate subsite in the NADP binding site, and the substrate inhibition by NADP results from the formation of a dead end E-beta-aspartyl phosphate-NADP complex. The chemical mechanism of the enzyme has been examined by pH profile and chemical modification studies. The proposed mechanism involves the attack of an active site cysteine sulfhydryl on the carbonyl carbon of aspartate-beta-semialdehyde, with general acid assistance by an enzyme lysine amino group. The resulting thiohemiacetal is oxidized by NADP to a thioester, with subsequent attack by the dianion of enzyme bound phosphate. The collapse of the resulting tetrahedral intermediate leads to the acyl-phosphate product and liberation of the active site cysteine.     

Kinetic mechanism for human Rho-Kinase II (ROCK-II)

Rho-Kinase is a serine/threonine kinase that is involved in the regulation of smooth muscle contraction and cytoskeletal reorganization of nonmuscle cells. While the signal transduction pathway in which Rho-Kinase participates has been and continues to be extensively studied, the kinetic mechanism of Rho-Kinase-catalyzed phosphorylation has not been investigated. We report here elucidation of the kinetic mechanism for Rho-Kinase by using steady-state kinetic studies. These studies used the kinase domain of human Rho-Kinase II (ROCK-II 1-534) with S6 peptide (biotin-AKRRRLSSLRA-NH(2)) as the phosphorylatable substrate. Double-reciprocal plots for two-substrate kinetic data yielded intersecting line patterns with either ATP or S6 peptide as the varied substrate, indicating that Rho-Kinase utilized a ternary complex (sequential) kinetic mechanism. Dead-end inhibition studies were used to investigate the order of binding for ATP and the peptide substrate. The ATP-competitive inhibitors AMP-PCP and Y-27632 were noncompetitive inhibitors versus S6 peptide, and the S6 peptide analogue S6-AA (acetyl-AKRRRLAALRA-NH(2)) was a competitive inhibitor versus S6 peptide and a noncompetitive inhibitor versus ATP. These results indicated a random order of binding for ATP and S6 peptide.     

Kinetic mechanism of glutathione synthetase from Arabidopsis thaliana

Glutathione synthetase (GS) catalyzes the ATP-dependent formation of the ubiquitous peptide glutathione from gamma-glutamylcysteine and glycine. The bacterial and eukaryotic GS form two distinct families lacking amino acid sequence homology. Moreover, the detailed kinetic mechanism of the bacterial and the eukaryotic GS remains unclear. Here we have overexpressed Arabidopsis thaliana GS (AtGS) in an Escherichia coli expression system and purified the recombinant enzyme for biochemical characterization. AtGS is functional as a homodimeric protein with steady-state kinetic properties similar to those of other eukaryotic GS. The kinetic mechanism of AtGS was investigated using initial velocity methods and product inhibition studies. The best fit of the observed data was to the equation for a random Ter-reactant mechanism in which dependencies between the binding of some substrate pairs were preferred. The binding of either ATP or gamma-glutamylcysteine increased the binding affinity of AtGS for the other substrate by 10-fold. Likewise, the binding of ATP or glycine increased binding affinity for the other ligand by 3.5-fold. In contrast, binding of either glycine or gamma-glutamylcysteine causes a 6.7-fold decrease in binding affinity for the second molecule. Product inhibition studies suggest that ADP is the last product released from the enzyme. Overall, these observations are consistent with a random Ter-reactant mechanism for the eukaryotic GS in which the binding order of certain substrates is kinetically preferred for catalysis.     

Purification and kinetic mechanism of lysyl-tRNA synthetase from Mycobacterium smegmatis SN2

Lysyl-tRNA synthetase [L-lys:tRNAlys ligase (AMP forming) EC:6.1.1.6] has been purified to homogeneity from Mycobacterium smegmatis SN2. The enzyme is a dimer of molecular weight 126,000 and is composed of identical subunits. A detailed analysis of the kinetic mechanism of the lysyl-tRNA synthetase has been carried out. A rapid equilibrium random ter ter mechanism is proposed based on initial velocity and product inhibition studies. There is no evidence for the formation of enzyme-bound lysyl-adenylate. The reverse reaction, studied by the deacylation of lysyl-tRNA, requires the presence of both AMP and PPi. This observation is consistent with the mechanism proposed.     

Substrate synergism and the steady-state kinetic reaction mechanism for EPSP synthase from Escherichia coli.

Previous studies of Escherichia coli 5-enolpyruvoylshikimate-3-phosphate synthase (EPSPS, EC 2.5.1.19) have suggested that the kinetic reaction mechanism for this enzyme in the forward direction is equilibrium ordered with shikimate 3-phosphate (S3P) binding first followed by phosphoenolpyruvate (PEP). Recent results from this laboratory, however, measuring direct binding of PEP and PEP analogues to free EPSPS suggest more random character to the enzyme. Steady-state kinetic and spectroscopic studies presented here indicate that E. coli EPSPS does indeed follow a random kinetic mechanism. Initial velocity studies with S3P and PEP show competitive substrate inhibition by PEP added to a normal intersecting pattern. Substrate inhibition is proposed to occur by competitive binding of PEP at the S3P site [Ki(PEP) = 6-8 mM]. To test for a productive EPSPS.PEP binary complex, the reaction order of EPSPS was evaluated with shikimic acid and PEP as substrates. The mechanism for this reaction is equilibrium ordered with PEP binding first giving a Kia value for PEP in agreement with the independently measured Kd of 0.39 mM (shikimate Km = 25 mM). Results from this study also show that the 3-phosphate moiety of S3P offers 8.7 kcal/mol in binding energy versus a hydroxyl in this position. Over 60% of this binding energy is expressed in binding of substrate to enzyme rather than toward increasing kcat. Glyphosate inhibition of shikimate turnover was poor with approximately 8 x 10(4) loss in binding capacity compared to the normal reaction, consistent with the independently measured Kd of 12 mM for the EPSPS.glyphosate binary complex. The EPSPS.glyphosate complex induces shikimate binding, however, by a factor of 7 greater than EPSPS.PEP. Carboxyallenyl phosphate and (Z)-3-fluoro-PEP were found to be strong inhibitors of the enzyme that have surprising affinity for the S3P binding domain in addition to the PEP site as measured both kinetically and by direct observation with 31P NMR. The collective data indicate that the true kinetic mechanism for EPSPS in the forward direction is random with synergistic binding occurring between substrates and inhibitors. The synergism explains how the mechanism can be random with S3P and PEP, but yet equilibrium ordered with PEP binding first for shikimate turnover. Synergism also accounts for how glyphosate can be a strong inhibitor of the normal reaction, but poor versus shikimate turnover.     

Defining the role of phosphomethylethanolamine N-methyltransferase from Caenorhabditis elegans in phosphocholine biosynthesis by biochemical and kinetic analysis

In plants and Plasmodium falciparum, the synthesis of phosphatidylcholine requires the conversion of phosphoethanolamine to phosphocholine by phosphoethanolamine methyltransferase (PEAMT). This pathway differs from the metabolic route of phosphatidylcholine synthesis used in mammals and, on the basis of bioinformatics, was postulated to function in the nematode Caenorhabditis elegans. Here we describe the cloning and biochemical characterization of a PEAMT from C. elegans (gene, pmt-2; protein, PMT-2). Although similar in size to the PEAMT from plants, which contain two tandem methyltransferase domains, PMT-2 retains only the C-terminal methyltransferase domain. RNA-mediated interference experiments in C. elegans show that PMT-2 is essential for worm viability and that choline supplementation rescues the RNAi-generated phenotype. Unlike the plant and Plasmodium PEAMT, which catalyze all three methylations in the pathway, PMT-2 catalyzes only the last two steps in the pathway, i.e., the methylation of phosphomonomethylethanolamine (P-MME) to phosphodimethylethanolamine (P-DME) and of P-DME to phosphocholine. Analysis of initial velocity patterns suggests a random sequential kinetic mechanism for PMT-2. Product inhibition by S-adenosylhomocysteine was competitive versus S-adenosylmethionine and noncompetitive versus P-DME, consistent with formation of a dead-end complex. Inhibition by phosphocholine was competitive versus each substrate. Fluorescence titrations show that all substrates and products bind to the free enzyme. The biochemical data are consistent with a random sequential kinetic mechanism for PMT-2. This work provides a kinetic basis for additional studies on the reaction mechanism of PEAMT. Our results indicate that nematodes also use the PEAMT pathway for phosphatidylcholine biosynthesis. If the essential role of PMT-2 in C. elegans is conserved in parasitic nematodes of mammals and plants, then inhibition of the PEAMT pathway may be a viable approach for targeting these parasites with compounds of medicinal or agronomic value.     

Kinetic Formulations for the Reduction of Ketomalonate by Lactate Dehydrogenase

Abstract

Initial rate kinetic studies of lactate dehydrogenase with ketomalonate and NADH as substrates suggest that this enzymatic system is adapted to a rapid equilibrium ordered bi-bi ternary complex mechanism. The application of the reaction product inhibition method reveals the existence of the enzyme-NADH-hydroxy-malonate and enzyme-NAD⁺-ketomalonate abortive complexes. This kinetic behaviour is confirmed by the differential inhibition induced by several alternate products on the pyruvate-lactate dehydrogenase-NADH and ketomalonate-lactate dehydrogenase-NADH systems.     

Bacterial formate dehydrogenase. Substrate specificity and kinetic mechanism of S-formyl glutathione oxidation

The substrate specificity of NAD-dependent formate dehydrogenase from the methylotrophic bacterium Achromobacter parvulus T1 was studied. The kinetic mechanism of S-formyl glutathione oxidation was determined. The initial velocity studies and inhibition analysis were carried out. It was shown that the kinetic mechanism for the enzyme with S-formyl glutathione as a substrate is similar to that with formate and is rapid-equilibrium random. Using independent methods, it was found that formate dehydrogenase forms a binary complex with S-formyl glutathione (Kd = 2.5 mM).