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.     

Metal and metal-ATP interactions with brain and cardiac adenylate cyclases.

Metal (Me) and MeATP interactions with adenylate cyclases associated with rabbit ventricular particles and with a detergent-dispersed preparation from rat cerebellum have been studied. data were simulated to fit kinetic models in which an inhibitor (HATP or ATP) is added in constant proportion to the variable substrate (MeATP). The specific models considered were that the enzyme binds (a) MeATP as the substrate; (b) MeATP as the substrate and HATP or ATP as an inhibitor; (c) MeATP as the substrate and free Me as an activator; and (d) MeATP as the substrate, free Me as an activator, and HATP or ATP as an inhibitor. Both equilibrium-ordered and random (rapid equilibrium assumption) types of sequential kinetic models were considered. The various models were tested using cardiac particulate adenylate cyclase in the presence of either a phosphoenolpyruvate-pyruvate kinase or a creatine phosphate-creatine kinase ATP-regeneration system. Although the enzyme with either system appeared to bind Mg2+ as an activator, one or both ATP-regeneration systems also seemed to interact directly with adenylate cyclase, making clear interpretations difficult. With the phosphoenolpyruvate-pyruvate kinase system, kinetic patterns on double reciprocal plots were linear as a function of MgATP, but with creatine phosphate-creatine kinase, kinetic patterns were concave downward. The kinetic models were further tested using the detergent-dispersed cerebellar enzyme, a preparation with low adenosine triphosphatase activity and not requiring the addition of an ATP-regeneration system. Reciprocal plots were linear and intersecting as a function of either MeATP or Me (Me = Mg2+ or Mn2+), and secondary replots of slopes and intersecting as function of either MeATP or Me (Me = Mg2+ or Mn2+), and secondary replots of slopes and intercepts also were linear. These data indicate that the brain detergent-dispersed enzyme conforms to a bireactant, sequential mechanism where free cation is a required activator and free ATP is not a potent inhibitor.     

Mechanistic and kinetic studies of inhibition of enzymes

A graphical method for analyzing enzyme data to obtain kinetic parameters, and to identify the types of inhibition and the enzyme mechanisms, is described. The method consists of plotting experimental data as nu/(V0 - nu) vs 1/(I) at different substrate concentrations. I is the inhibitor concentration; V0 and nu are the rates of enzyme reaction attained by the system in the presence of a fixed amount of substrate, and in the absence and presence of inhibitor, respectively. Complete inhibition gives straight lines that go through the origin; partial inhibition gives straight lines that converge on the 1-I axis, at a point away from the origin. For competitive inhibition, the slopes of the lines increase with increasing-substrate concentration; with noncompetitive inhibition, the slopes are independent of substrate concentration; with uncompetitive inhibition, the slopes of the lines decrease with increasing substrate concentrations. The kinetic parameters, Km, Ki, Ki', and beta (degree of partiality) can best be determined from respective secondary plots of slope and intercept vs substrate concentration, for competitive and noncompetitive inhibition mechanism or slope and intercept vs reciprocal substrate concentration for uncompetitive inhibition mechanism. Functional consequencs of these analyses are represented in terms of specific enzyme-inhibitor systems.     

Differential effects of manganese ions on Blastocladiella emersonii adenylate cyclase.

Adenylate cyclase (ATP pyrophosphate-lyase (cyclizing), EC 4.6.1.1) activity in Blastocladiella emersonii is associated with particulate subcellar fractions. Solubilization after treatment with detergent suggests its localization in a membrane fraction of the zoospore homogenate. The enzyme specifically requires Mn2+ for activity and is not stimulated by NaF. The kinetic characteristics of substrate utilization by B. emersonii adenylate cyclase were investigated with various concentrations of ATP and Mn2+, and in the presence of inhibitors. Plots of enzyme activity versus the actual concentration of the MnATP2- complex give sigmoid curves. An excess of Mn2+ activates the enzyme at low concentrations of substrate and leads to a modification of the enzyme kinetics. The nucleotides 5'-AMP and GTP were shown to be competitive inhibitors of the enzyme. In addition, kinetic data, obtained under conditions in which an inhibitor (ATP) is added in constant proportion to the variable substrate (MnATP2-) concentration, produced reciprocal plots that were linear and intersecting to the right of the ordinate, and secondary replots that were hyperbolic. These kinetic patterns support a model in which: MnATP2- is the substrate; free Mn2+ is an activator at low substrate concentrations, but an inhibitor at high substrate concentrations; and free ATP is not an efficient inhibiyor (Ki greater than 1.10(-4) M).     

Kinetic study of porcine kidney betaine aldehyde dehydrogenase

Porcine kidney betaine aldehyde dehydrogenase (EC 1.2.1.8) kinetic properties were determined at low substrate concentrations. The double-reciprocal plots of initial velocity versus substrate concentration are linear and intersect at the left of the 1/v axis and showed substrate inhibition with betaine aldehyde. Studies of inhibition by NADH and dead-end analogs showed that NADH is a mixed inhibitor against NAD(+) and betaine aldehyde. AMP is competitive with respect to NAD(+) and mixed with betaine aldehyde. Choline is competitive against betaine aldehyde and uncompetitive with respect to NAD(+). The kinetic behavior is consistent with an Iso-Ordered Bi-Bi Steady-State mechanism.     

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.     

Role of divalent metals in the kinetic mechanism of insulin receptor tyrosine kinase

The kinetic and thermodynamic interrelationships of peptide substrate (Val5-angiotensin 11), metal-ATP, and divalent metal cations with rat liver insulin receptor tyrosine kinase (IRTK) were investigated. Results of the initial rate studies with varying peptide and MnATP substrates indicates that the kinetic mechanism for IRTK is of the sequential type and therefore rules out a ping pong Bi Bi pathway. Hence, peptide substrate and metal-ATP bind to the kinase prior to the release of products. MnADP was a linear competitive inhibitor of MnATP and a noncompetitive inhibitor of peptide substrate. A synthetic tyrosine-containing pentapeptide, Glu-Glu-Phe-Tyr-Phe (EEFYF), was a linear competitive inhibitor of peptide substrate and a noncompetitive inhibitor of MnATP. Accordingly, the data show that phosphorylation of peptide substrate occurs via a rapid random equilibrium Bi Bi mechanism in which the kinase has the potential to react initially with either of the two substrates. In contrast, divalent metal cations and metal-ATP were found to interact with the kinase in a mutually inclusive manner, with metal binding to the kinase prior to MnATP. It was also found that divalent metals increase the affinity of the kinase for metal-ATP but do not affect the affinity of IRTK for metal-ADP product. Hence, divalent metals, during the reaction of association of enzyme with one of its substrates to form the binary complex, increase the relative concentration of E-ATP complex versus E-peptide complex, thus introducing a thermodynamic-dependent ordering for the interaction of substrates with the enzyme. To investigate the thermodynamics of this system, we assumed that under initial conditions the kinetic data we obtained reflected the association constants of reactants with the enzyme.     

Kinetic characterization of dihydrofolate reductase from Drosophila melanogaster

The kinetic characteristics of a purified insect dihydrofolate reductase (DHFR) have been described. The Km values for the substrate dihydrofolate and the cofactor NADPH have been estimated by primary and secondary Hanes plots to be 0.3 and 5.2 microM, respectively. Drosophila melanogaster DHFR can use folate and NADH at acidic pH values, but at a much lower rate than the preferred substrate and cofactor. Folic acid is a partial competitive inhibitor of Drosophila DHFR (Ki = 0.4 microM) and trimethoprim is a complete competitive inhibitor (Ki = 5.4 microM). Methotrexate binds less tightly to the Drosophila enzyme than to many other DHFRs (Kd = 0.9 nM). Drosophila DHFR is inhibited by KCl and organic mercurials and is slightly activated by urea. These data indicate that Drosophila DHFR has some characteristics which are typical of vertebrate DHFRs and others which are typical of prokaryotic DHFRs. The study of this enzyme, therefore, should aid in the definition of the structural features that are responsible for the kinetic characteristics in different DHFRs.     

Kinetic mechanism of isoprenylated protein methyltransferase.

The kinetic mechanism of the rod outer segment (ROS) isoprenylated protein methyltransferase was investigated. This S-adenosyl-L-methionine (AdoMet)-linked enzyme transfers methyl groups to carboxyl-terminal isoprenylated cysteine residues of proteins, generating methyl esters. The enzyme also processes simple substrates such as N-acetyl-S-farnesyl-L-cysteine (L-AFC). Initial studies showed that a ping-pong Bi Bi mechanism could be eliminated. In a ping-pong Bi Bi mechanism plots of 1/v versus 1/[substrate A] at different fixed substrate B concentrations are expected to yield a family of parallel lines whose slopes equal Km/Vmax. In fact, converging curves were found, which suggested a sequential mechanism. Dead-end inhibitors were used in order to further investigate the kinetic mechanism. S-Farnesylthioacetic acid is shown to be a dead-end competitive inhibitor with respect to the prenylated substrate L-AFC. On the other hand, S-farnesylthioacetic acid proved to be uncompetitive with respect to AdoMet, suggesting an ordered mechanism with AdoMet binding first. Further evidence for this mechanism came from product inhibition studies using the methyl ester of L-AFC (L-AFCMe) and S-adenosyl-L-homocysteine (AdoHcy). Since AdoMet binds first to the enzyme, one of the products (L-AFCMe or AdoHcy) should be a competitive inhibitor with respect to it. It could be shown that AdoHcy is a competitive inhibitor with respect to AdoMet, but L-AFCMe is a mixed-type inhibitor both with respect to AdoMet and to L-AFC. Therefore, AdoHcy combines with the same enzyme form as does AdoMet, and must be released from the enzyme last. Moreover, L-AFC and L-AFCMe must bind to different forms of the enzyme.     

Kinetic analysis of enzyme systems with suicide substrate in the presence of a reversible competitive inhibitor, tested by simulated progress curves

The use of suicide substrates remains a very important and useful method in enzymology for studying enzyme mechanisms and designing potential drugs. Suicide substrates act as modified substrates for the target enzymes and bind to the active site. Therefore the presence of a competitive reversible inhibitor decreases the rate of substrate-induced inactivation and protects the enzyme from this inactivation. This lowering on the inactivation rate has evident physiological advantages, since it allows the easy acquisition of experimental data and facilitates kinetic data analysis by providing another variable (inhibitor concentration). However despite the importance of the simultaneous action of a suicide substrate and a competitive reversible inhibition, to date no corresponding kinetic analysis has been carried out. Therefore we present a general kinetic analysis of a Michaelis-Menten reaction mechanism with double inhibition caused by both, a suicide substrate and a competitive reversible inhibitor. We assume rapid equilibrium of the reversible reaction steps involved, while the time course equations for the reaction product have been derived with the assumption of a limiting enzyme. The goodness of the analytical solutions has been tested by comparison with the simulated curves obtained by numerical integration. A kinetic data analysis to determine the corresponding kinetic parameters from the time progress curve of the product is suggested. In conclusion, we present a complete kinetic analysis of an enzyme reaction mechanism as described above in an attempt to fill a gap in the theoretical treatment of this type of system.     

Diagnosis of enzyme inhibition based on the degree of inhibition

In this work, a method for the diagnosis of kinetic inhibition, based on the dependence of the degree of inhibition (epsilon(i)) on the inhibitor concentration [I] and on the substrate concentration [S], is presented. Because the degree of inhibition is a ratio between rates, kinetic data are normalized by the introduction of an internal control-the rate of the uninhibited reaction. Therefore, the error associated with the kinetic measurements decreases and less experimental measurements are necessary to achieve the diagnosis. The process described, which uses graphical and/or non-linear fitting procedures, allows distinguishing between 20 different kinds of inhibition, including not only linear and hyperbolic, but also parabolic and rational 2,2 inhibitions. Rational 2,2 indicates a new type of inhibition corresponding to an incomplete parabolic inhibition, i.e. mechanistically it corresponds to an inhibitor that binds to two inhibition sites producing enzymatic complexes that are still active. In spite of its comprehensiveness, the diagnosis process is greatly facilitated by the division of the diagnosis of the inhibition in a step-by-step procedure, where only two rival models are evaluated in each step. In the non-linear fittings, the choice between rival models uses a test based on information statistics theory, the Akaike information criterion test, in order to penalize complex models that tend to be favoured in fittings. Finally, equations that allow the determination of inhibition kinetic constants were also deduced. The formalism presented was tested by examining inhibition of acid phosphatase by phosphate (a linear competitive inhibitor).     

Constant-ratio alternative substrate approach for differentiation of enzyme mechanisms

A new kinetic approach using alternative substrates as a tool for studying enzyme mechanisms is described. In this method the substrate to alternative substrate ratio is maintained constant and the common product (or summation of product analogs) is measured. The double-reciprocal plots so obtained at several constant ratios generate different patterns for various mechanisms, thus permitting a choice of kinetic model. In some cases, secondary intercept plots are utilized as a diagnostic aid. Another feature of this approach is that most of the resultant plots are linear. The graphical patterns for four cases of two-substrate, two-product reactions are presented as examples. These patterns allow one to differentiate several mechanisms which are not distinguishable by conventional alternative substrate, competitive inhibitor, or product inhibition studies alone. When used in combination with other methods, various mechanisms involving isomerization and abortive complex formation can be differentiated even if only one alternative substrate is available.     

Basic models for differential inhibition of enzymes

The possible preferential action exerted by an inhibitor on the transformation of one of two agonist substrates catalyzed by the same enzyme has recently been reported in studies on aldose reductase inhibition. This event was defined as “intra-site differential inhibition” and the molecules able to exert this action as “differential inhibitors”. This work presents some basic kinetic models describing differential inhibition. Using a simple analytic approach, the results show that differential inhibition can occur through either competitive or mixed type inhibition in which the inhibitor prevalently targets the free enzyme. The results may help in selecting molecules whose differential inhibitory action could be advantageous in controlling the activity of enzymes acting on more than one substrate.     

A new approach in the kinetics of biological transport the potential of reversible inhibition studies

Kinetic equations are derived for reversible inhibition of both active and facilitated transport systems for seven common experimental arrangements. It is shown that the unique features of transport kinetics may be exploited to give new kinds of information. It is also shown that the familiar rules of enzyme kinetics, though often applied to transport, can be seriously misleading. The analysis leads to the following general conclusions: (1) A competitive mechanism frequently gives rise to non-competitive kinetics, depending on the experimental design, but a non-competitive mechanism never produces competitive kinetics. (2) Inhibition studies on exchange diffusion at equilibrium in non-active systems or in the final steady state in active systems are the only unambiguous kinetic tests to distinguish competitive from non-competitive mechanisms. (3) Substrate analogs that are bound to the carrier and transported are readily distinguished by inhibition kinetics from those not transported, even though both may rapidly enter the cell by another route. (4) Even in non-active systems competitive inhibitors commonly have far different affinities for the substrate sites on the two membranes faces: where sufficient non-polarity allows their penetration into the cell, inhibition kinetics readily establish such sidedness in their action. (5) Inhibition kinetics of the mixed competitive and non-competitive type result from moderately asymmetrical binding of inhibitor at the substrate site. (6) Asymmetry is a necessary feature of active transport; hence studies of inhibition kinetics should provide important insights into its mechanism.     

Kinetic properties and inhibition of human T lymphoblast deoxycytidine kinase

The kinetic properties of 50,000-fold purified cultured human T lymphoblast (MOLT-4) deoxycytidine kinase were examined. The reaction velocity had an absolute requirement for magnesium. Maximal activity was observed at pH 6.5-7.0 with Mg:ATP for 1:1. High concentrations of free Mg2+ or free ATP were inhibitory. Double reciprocal plots of initial velocity studies yielded intersecting lines for both deoxycytidine and MgATP2-. dCMP was a competitive inhibitor with respect to deoxycytidine and ATP. ADP was a competitive inhibitor with respect to ATP and a mixed inhibitor with respect to deoxycytidine. dCTP, an important end product, is a very potent inhibitor and was a competitive inhibitor with respect to deoxycytidine and a non-competitive inhibitor with respect to ATP. TTP reversed dCTP inhibition. The data suggest that (a) MgATP2- is the true substrate of deoxycytidine kinase; (b) the kinetic mechanism of deoxycytidine kinase is consistent with rapid equilibrium random Bi Bi; (c) deoxycytidine kinase may be regulated by its product ADP and its end product dCTP as well as the availability of deoxycytidine. While many different nucleotides potently inhibit deoxycytidine kinase, their low intracellular concentrations make their regulatory role less important.     

Kinetic studies of mold α-galactosidase on PNPG hydrolysis

The kinetic properties of α-galactosidase of Mortierella vinacea were investigated in detail using PNPG (p-nitrophenyl-α-D -galactopyranoside) as a substrate. Consequently, the enzyme was markedly inhibited not only by the substrate, but also by the galactose hydrolized. The initial rate of reaction at sufficiently high substrate concentrations, however, did not fall to zero and did approach a finite value. Galactose behaved as a mixed inhibitor and was neither totally competitive nor totally noncompetitive. A rate equation was obtained from a generalized equation derived from a kinetic model which took both the inhibitions into consideration. The constants used in the equation were appropriately estimated. The calculated rate agreed fairly well with the observed initial rate. Moreover, the PNPG hydrolysis progressing in a batch system was found to be approximately representable by simple first order kinetics in which the rate constant was dependent on the initial substrate concentration.     

Mechanism of inhibition for N6022, a first-in-class drug targeting S-nitrosoglutathione reductase

N6022 is a novel, first-in-class drug with potent inhibitory activity against S-nitrosoglutathione reductase (GSNOR), an enzyme important in the metabolism of S-nitrosoglutathione (GSNO) and in the maintenance of nitric oxide (NO) homeostasis. Inhibition of GSNOR by N6022 and related compounds has shown safety and efficacy in animal models of asthma, chronic obstructive pulmonary disease, and inflammatory bowel disease [Sun, X., et al. (2011) ACS Med. Chem. Lett. 2, 402-406]. N6022 is currently in early phase clinical studies in humans. We show here that N6022 is a tight-binding, specific, and fully reversible inhibitor of GSNOR with an IC(50) of 8 nM and a K(i) of 2.5 nM. We accounted for the fact that the NAD(+)- and NADH-dependent oxidation and reduction reactions, catalyzed by GSNOR are bisubstrate in nature in our calculations. N6022 binds in the GSNO substrate binding pocket like a competitive inhibitor, although in kinetic assays it behaves with a mixed uncompetitive mode of inhibition (MOI) toward the GSNO substrate and a mixed competitive MOI toward the formaldehyde adduct, S-hydroxymethylglutathione (HMGSH). N6022 is uncompetitive with cofactors NAD(+) and NADH. The potency, specificity, and MOI of related GSNOR inhibitor compounds are also reported.     

p300/CBP-associated factor histone acetyltransferase processing of a peptide substrate. Kinetic analysis of the catalytic mechanism

p300/CBP-associated factor (PCAF) is a histone acetyltransferase that plays an important role in the remodeling of chromatin and the regulation of gene expression. It has been shown to catalyze preferentially acetylation of the epsilon-amino group of lysine 14 in histone H3. In this study, the kinetic mechanism of PCAF was evaluated with a 20-amino acid peptide substrate derived from the amino terminus of histone H3 (H3-20) and recombinant bacterially expressed PCAF catalytic domain (PCAF(cat)). The enzymologic behavior of full-length PCAF and PCAF(cat) were shown to be similar. PCAF-catalyzed acetylation of the substrate H3-20 was shown to be specific for Lys-14, analogous to its behavior with the full-length histone H3 protein. Two-substrate kinetic analysis displayed an intersecting line pattern, consistent with a ternary complex mechanism for PCAF. The dead-end inhibitor analog desulfo-CoA was competitive versus acetyl-CoA and noncompetitive versus H3-20. The dead-end analog inhibitor H3-20 K14A was competitive versus H3-20 and uncompetitive versus acetyl-CoA. The potent bisubstrate analog inhibitor H3-CoA-20 was competitive versus acetyl-CoA and noncompetitive versus H3-20. Taken together, these inhibition patterns support an ordered BiBi kinetic mechanism for PCAF in which acetyl-CoA binding precedes H3-20 binding. Viscosity experiments suggest that diffusional release of product is not rate-determining for PCAF catalysis. These results provide a mechanistic framework for understanding the detailed catalytic behavior of an important subset of the histone acetyltransferases and have significant implications for molecular regulation of and inhibitor design for these enzymes.