Kinetic analysis of enzyme reactions with slow-binding inhibition.

In this paper we present a general kinetic study of slow-binding inhibition processes, i.e. enzyme reactions that do not respond instantly to the presence of a competitive inhibitor. The analysis that we present is based on the equation that describes the formation of products with time in each case on the experimental progress curve. It is carried out under the condition of limiting enzyme concentration and allows the discrimination between the different cases of slow-binding inhibition. The mechanism in which the formation of complex enzyme-inhibitor is a single or two slow steps or follow a rapid equilibrium, has been considered. The corresponding explicit equations of each case have been obtained and checked by numerical integration. A kinetic data analysis to evaluate the corresponding kinetic parameters is suggested. We illustrate the method, numerically by computer simulation, of the reaction and present some numerical examples that demonstrate the applicability of our procedure.     

Competitive inhibitors of Klebsiella aerogenes urease. Mechanisms of interaction with the nickel active site

We examined several compounds for their mechanisms of inhibition with the nickel-containing active site of homogeneous Klebsiella aerogenes urease. Thiolate anions competitively inhibit urease and directly interact with the metallocenter, as shown by the pH dependence of inhibition and by UV-visible absorbance spectroscopic studies. Cysteamine, which possesses a cationic beta-amino group, exhibited a high affinity for urease (Ki = 5 microM), whereas thiolates containing anionic carboxyl groups were uniformly poor inhibitors. Phosphate monoanion competitively inhibits a protonated form of urease with a pKa of less than 5. Both the thiolate and phosphate inhibition results are consistent with charge repulsion by an anionic group in the urease active site. Acetohydroxamic acid (AHA) was shown to be a slow-binding competitive inhibitor of urease. This compound forms an initial E.AHA complex which then undergoes a slow transformation to yield an E.AHA* complex; the overall dissociation constant of AHA is 2.6 microM. Phenylphosphorodiamidate, also shown to be a slow-binding competitive inhibitor, possesses an overall dissociation constant of 94 pM. The tight binding of phenylphosphorodiamidate was exploited to demonstrate the presence of two active sites per enzyme molecule. Urease contains 4 mol of nickel/mol enzyme, hence there are two nickel ions/catalytic unit. Each of the two slow-binding inhibitors are proposed to form complexes in which the inhibitor bridges the two active site nickel ions. The inhibition results obtained for K. aerogenes urease are compared with inhibition studies of other ureases and are interpreted in terms of a model for catalysis proposed for the jack bean enzyme (Dixon, N.E., Riddles, P.W., Gazzola, C., Blakely, R.L., and Zerner, B. (1980) Can. J. Biochem. 58, 1335-1344).     

Kinetic mechanisms of inhibitor binding: relevance to the fast-acting slow-binding paradigm.

Although phlorizin inhibition of Na+-glucose cotransport occurs within a few seconds, 3H-phlorizin binding to the sodium-coupled glucose transport protein(s) requires several minutes to reach equilibrium (the fast-acting slow-binding paradigm). Using kinetic models of arbitrary dimension that can be reduced to a two-state diagram according to Cha's formalism, we show that three basic mechanisms of inhibitor binding can be identified whereby the inhibitor binding step either (A) represents, (B) precedes, or (C) follows the rate-limiting step in a binding reaction. We demonstrate that each of mechanisms A-C is associated with a set of unique kinetic properties, and that the time scale over which one may expect to observe mechanism C is conditioned by the turnover number of the catalytic cycle. In contrast, mechanisms A and B may be relevant to either fast-acting or slow-binding inhibitors. However, slow-binding inhibition according to mechanism A may not be compatible with a fast-acting behavior on the steady-state time scale of a few seconds. We conclude that the recruitment hypothesis (mechanism C) cannot account for slow phlorizin binding to the sodium-coupled glucose transport protein(s), and that mechanism B is the only alternative that may explain the fast-acting slow-binding paradigm.     

Interaction of peptide boronic acids with elastase: circular dichroism studies

Boronic acid derivatives of good peptide substrates of the serine proteases cause slow-binding inhibition, manifested as biphasic binding (Kettner and Shenvi: J. Biol Chem. 259:15106-15114, 1984). These inhibitors are thought to act as reaction-intermediate analogs. Three peptide boronic acids--Ac-Pro-boro-Val-OH, DNS-Ala-Pro-boro-Val-OH, and Ac-Ala-Ala-Pro-boro-Val-OH--were chosen for far-ultraviolet circular dichroism (CD) studies in order to determine whether the second phase involves a conformational change of pancreatic elastase. The dipeptide is a simple competitive inhibitor (Ki = 0.27 microM) and the latter are slow-binding inhibitors (Ki = 16.4 and 0.25 nM, respectively). Spectral deconvolution and correction for the formation of antiparallel beta-sheet by the peptide inhibitor itself indicate that there is no significant change in the secondary structure of the enzyme in either the initial or final inhibitor complex. A kinetic experiment confirmed that the slow-binding step was not associated with a CD spectral change, and that therefore a protein conformational change was not responsible for the slow binding.     

Inhibition of jack bean urease by 1,4-benzoquinone and 2,5-dimethyl-1,4-benzoquinone. Evaluation of the inhibition mechanism

1,4-benzoquinone (BQ) and 2,5-dimethyl-1,4-benzoquinone (DMBQ) were studied as inhibitors of jack bean urease in 50 mM phosphate buffer, pH 7.0. The mechanisms of inhibition were evaluated by progress curves studies and steady-state approach to data achieved by preincubation of the enzyme with the inhibitor. The obtained reaction progress curves were time-dependent and characteristic of slow-binding inhibition. The effects of different concentrations of BQ and DMBQ on the initial and steady-state velocities as well as the apparent first-order velocity constants obeyed the relationships of two-step enzyme-inhibitor interaction, qualified as mechanism B. The rapid formation of an initial BQ-urease complex with an inhibition constant of Ki = 0.031 mM was followed by a slow isomerization into the final BQ-urease complex with the overall inhibition constant of Ki* = 4.5 x 10(-5) mM. The respective inhibition constants for DMBQ were Ki = 0.42 mM, Ki* = 1.2 x 10(-3) mM. The rate constants of the inhibitor-urease isomerization indicated that forward processes were rapid in contrast to slow reverse reactions. The overall inhibition constants obtained by the steady-state analysis were found to be 5.1 x 10(-5) mM for BQ and 0.98 x 10(-3) mM for DMBQ. BQ was found to be a much stronger inhibitor of urease than DMBQ. A test, based on reaction with L-cysteine, confirmed the essential role of the sulfhydryl group in the inhibition of urease by BQ and DMBQ.     

Non-linear slow-binding inhibition of Aerococcus viridans lactate oxidase by Cibacron Blue 3GA

Lactate oxidase (LOD) was purified from cells of Aerococcus viridans by phase partitioning in Triton X-114 (TX-114), ammonium sulphate fractionation and FPLC ion exchange chromatography. The purification achieved from a crude extract of A. viridans was 32-fold with a 60% recovery of activity. The isolated enzyme was a true FMN-containing LOD in tetrameric form with a subunit molecular weight of 48,000. The KM for L-lactate was 175 microM, a 6-fold less value than described in the literature. Among the inhibitors tested, Cibacron Blue 3GA showed the lowest Ki. At low concentrations, Cibacron Blue 3GA behaved as a dye-, pH- and time-dependent inhibitor. A Dixon plot of the steady-state rate showed the time-dependent inhibition to be non-linear, contrary to that described for other slow-binding inhibitors. A model to explain this phenomenon was proposed. The model implies the binding of Cibacron Blue 3GA to the isomerised form of the initial enzyme-inhibition complex (E'I).     

Interaction of mono- and dianions with cyanase: evidence for apparent half-site binding

Cyanase is an inducible enzyme in Escherichia coli that catalyzes bicarbonate-dependent hydrolysis of cyanate. The dianions oxalate, oxalacetate, and malonate are slow-binding inhibitors of cyanase, and some monoanions such as azide and chloride also inhibit cyanase activity [Anderson, P. M., & Little, R. M. (1986) Biochemistry 25, 1621-1626]. The purpose of this study was to investigate the interaction of selected dianions and monoanions by kinetic and equilibrium dialysis binding studies in an effort to obtain information about the active site and catalytic mechanism. Measurement of the effectiveness of 30 different dianions as inhibitors of cyanase showed a significant degree of structural and/or isomeric specificity and considerable variation with respect to the slow-binding nature of the inhibition. Oxalate and oxalacetate both show extreme slow-binding inhibition at very low concentrations. Kinetic studies of the rate of inhibition of cyanase by oxalate showed that the reaction is pseudo first order with respect to oxalate concentration and the results are consistent with a pathway in which oxalate forms a complex with the enzyme in a rapid initial reversible step followed by a slow isomerization step leading to a complex with a very low dissociation constant. The rate of inhibition is significantly reduced by the presence of relatively low concentrations of either azide (analogue of cyanate) or bicarbonate. Equilibrium dialysis binding studies showed that the stoichiometry of binding at saturation for oxalate, malonate, chloride, and bicarbonate is about 0.5 mol of ligand bound/mol of subunit for each compound.(ABSTRACT TRUNCATED AT 250 WORDS)     

L-mimosine a slow-binding inhibitor of mushroom tyrosinase

It was found that L-mimosine is a slow-binding inhibitor of L-DOPA oxidation by mushroom tyrosinase. This inhibition is characterized by a prolonged transient phase. A mechanism is postulated according to the kinetic data.     

Preparation and characterization of alpha-D-glucopyranosyl-alpha-acarviosinyl-D-glucopyranose,a novel inhibitor specific for maltose-producing amylase

A novel inhibitor against maltose-producing alpha-amylase was prepared via stepwise degradation of a high-molecular-weight acarbose (HMWA) using Thermus maltogenic amylase (ThMA). The structure of the purified inhibitor was determined to be alpha-D-glucopyranosyl-alpha-acarviosinyl-D-glucopyranose (GlcAcvGlc) by (13)C NMR and MALDI-TOF/MS. Progress curves of PNPG2 hydrolysis by various amylolytic enzymes, including MGase, ThMA, and CDase I-5, in the presence of acarbose or GlcAcvGlc indicated a slow-binding mode of inhibition. Analytical ultracentrifugation and X-ray crystallography analyses revealed that the presence of GlcAcvGlc increased the dimerization of ThMA. The formation of dimer complexed with GlcAcvGlc might induce a conformational change in ThMA, leading to a two-step inhibition process. The inhibition potency of GlcAcvGlc for MGase, ThMA, and CDase I-5 was 3 orders of magnitude higher than that of acarbose.     

Time-dependent slowly-reversible inhibition of monoamine oxidase A by N-substituted 1,2,3,6-tetrahydropyridines

A novel class of N-substituted tetrahydropyridine derivatives was found to have multiple kinetic mechanisms of monoamine oxidase A inhibition. Eleven structurally similar tetrahydropyridine derivatives were synthesized and evaluated as inhibitors of MAO-A and MAO-B. The most potent MAO-A inhibitor in the series, 2,4-dichlorophenoxypropyl analog 12, displayed time-dependent mixed noncompetitive inhibition. The inhibition was reversed by dialysis, indicating reversible enzyme inhibition. Evidence that the slow-binding inhibition of MAO-A with 12 involves a covalent bond was gained from stabilizing a covalent reversible intermediate product by reduction with sodium borohydride. The reduced enzyme complex was not reversible by dialysis. The results are consistent with slowly reversible, mechanism-based inhibition. Two tetrahydropyridine analogs that selectively inhibited MAO-A were characterized by kinetic mechanisms differing from the kinetic mechanism of 12. As reversible inhibitors of MAO-A, tetrahydropyridine analogs are at low risk of having an adverse effect of tyramine-induced hypertension.     

Slow-binding inhibition of branching enzyme by the pseudooligosaccharide BAY e4609

Branching enzyme from Escherichia coli is shown to be inhibited by the pseudooligosaccharide BAY e4609. The mechanism of binding is studied in detail by kinetics using reduced amylose as substrate. Lineweaver-Burk plots suggest the mechanism of a noncompetitive or slow-binding inhibitor. Further studies by progress curves and rate of loss of branching activity allows us to conclude BAY e4609 as being a slow-binding inhibitor of branching enzyme. We discuss how these results parallel the inhibition of alpha-amylase by acarbose and the significance of branching enzyme as belonging to the amylolytic family.     

Mechanism for slow-binding inhibition of human leukocyte elastase by valine-derived benzoxazinones

Valine-derived benzoxazinones have been synthesized and found to be competitive, slow-binding inhibitors of human leukocyte elastase (HLE). Steady-state inhibition constants Ki are dependent on aryl substitution and reach a maximum of potency of 0.5 nM with the 5-Cl compound 6. UV-spectral data for the interaction of HLE and the unsubstituted inhibitor 3 indicate that the stable complex formed between enzyme and inhibitor is an acyl-enzyme that can either undergo ring closure, to reform intact benzoxazinone, or hydrolysis, to liberate an N-acylanthranilic acid. "Burst" kinetic data, derived from the direct observation of the interaction of HLE and 3, are consistent with results of the inhibition of catalysis experiments.     

Inhibition of Jack Bean Urease by 1,4-benzoquinone and 2,5-dimethyl-1,4-benzoquinone. Evaluation of the Inhibition Mechanism

1,4-benzoquinone (BQ) and 2,5-dimethyl-1,4-benzoquinone (DMBQ) were studied as inhibitors of jack bean urease in 50 mM phosphate buffer, pH 7.0. The mechanisms of inhibition were evaluated by progress curves studies and steady-state approach to data achieved by preincubation of the enzyme with the inhibitor. The obtained reaction progress curves were time-dependent and characteristic of slow-binding inhibition. The effects of different concentrations of BQ and DMBQ on the initial and steady-state velocities as well as the apparent first-order velocity constants obeyed the relationships of two-step enzyme-inhibitor interaction, qualified as mechanism B. The rapid formation of an initial BQ-urease complex with an inhibition constant of K i =0.031 mM was followed by a slow isomerization into the final BQ-urease complex with the overall inhibition constant of K*_i=4.5 × 10 ^?5 mM. The respective inhibition constants for DMBQ were K i =0.42 mM, K*_i =1.2 × 10 ^?3 mM. The rate constants of the inhibitor-urease isomerization indicated that forward processes were rapid in contrast to slow reverse reactions. The overall inhibition constants obtained by the steady-state analysis were found to be 5.1 × 10 ^?5 mM for BQ and 0.98 × 10 ^?3 mM for DMBQ. BQ was found to be a much stronger inhibitor of urease than DMBQ. A test, based on reaction with L-cysteine, confirmed the essential role of the sulfhydryl group in the inhibition of urease by BQ and DMBQ.     

Kinetics of the inhibition of bovine liver dihydrofolate reductase by tea catechins: origin of slow-binding inhibition and pH studies

Dihydrofolate reductase (DHFR) is the subject of intensive investigation since it appears to be the primary target enzyme for "antifolate" drugs, such as methotrexate and trimethoprim. Fluorescence quenching and stopped-flow fluorimetry show that the ester bond-containing tea polyphenols (-)-epigallocatechin gallate (EGCG) and (-)-epicatechin gallate (ECG) are potent and specific inhibitors of DHFR with inhibition constants (K(I)) of 120 and 82 nM, respectively. Both tea compounds showed the characteristics of slow-binding inhibitors of bovine liver DHFR. In this work, we have determined a complete kinetic scheme to explain the slow-binding inhibition and the pH effects observed during the inhibition of bovine liver DHFR by these tea polyphenols. Experimental data, based on fluorimetric titrations, and transient phase and steady-state kinetic studies confirm that EGCG and ECG are competitive inhibitors with respect to 7,8-dihydrofolate, which bind preferentially to the free form of the enzyme. The origin of their slow-binding inhibition is proposed to be the formation of a slow dissociation ternary complex by the reaction of NADPH with the enzyme-inhibitor complex. The pH controls both the ionization of critical catalytic residues of the enzyme and the protonation state of the inhibitors. At acidic pH, EGCG and ECG are mainly present as protonated species, whereas near neutrality, they evolve toward deprotonated species due to ionization of the ester-bonded gallate moiety (pK = 7.8). Although DHFR exhibits different affinities for the protonated and deprotonated forms of EGCG and ECG, it appears that the ionization state of Glu-30 in DHFR is critical for its inhibition. The physiological implications of these pH dependencies are also discussed.     

Kinetic studies of the pyridoxal kinase from pig liver: slow-binding inhibition by adenosine tetraphosphopyridoxal

Pyridoxal kinase from pig liver has been purified 10,000-fold to apparent homogeneity. The enzyme is a dimer of subunits of Mr 32,000. The enzyme is strongly inhibited by the product pyridoxal 5'-phosphate. Liver pyridoxamine phosphate oxidase, another enzyme involved in the biosynthesis of pyridoxal 5'-phosphate, is also strongly inhibited by this compound [Wada, H., & Snell, E. E. (1961) J. Biol. Chem. 236, 2089-2095]. Thus, the biosynthesis of pyridoxal 5'-phosphate in the liver might be regulated by the product inhibition of both pyridoxamine phosphate oxidase and pyridoxal kinase. Kinetic studies revealed that the catalytic reaction of liver pyridoxal kinase follows an ordered mechanism in which pyridoxal and ATP bind to the enzyme and ADP and pyridoxal 5'-phosphate are released from the enzyme, in this order. Adenosine tetraphosphopyridoxal was found to be a slow-binding inhibitor of pyridoxal kinase. Pre-steady-state kinetics of the inhibition revealed that the inhibitor and the enzyme form an initial weak complex prior to the formation of a tighter and slowly reversing complex. The overall inhibition constant was 2.4 microM. ATP markedly protects the enzyme against time-dependent inhibition by the inhibitor, whereas another substrate pyridoxal affords no protection. By contrast, adenosine triphosphopyridoxal is not a slow-binding inhibitor of this enzyme.     

Kinetic analysis of the inhibition of the epidermal growth factor receptor tyrosine kinase by Lavendustin-A and its analogue

Lavendustin-A was reported to be a potent tyrosine kinase inhibitor of the epidermal growth factor (EGF) receptor (Onoda, T., Iinuma, H., Sasaki, Y., Hamada, M., Isshibi, K., Naganawa, H., Takeuchi, T., Tatsuta, K., and Umezawa, K. (1989) J. Nat. Prod. 52, 1252-1257). Its inhibition kinetics was studied in detail using the baculovirus-expressed recombinant intracellular domain of the EGF receptor (EGFR-IC). Lavendustin-A (RG 14355) is a slow and tight binding inhibitor of the receptor tyrosine kinase. The pre-steady state kinetic analysis demonstrates that the inhibition corresponds to a two-step mechanism in which an initial enzyme-inhibitor complex (EI) is rapidly formed followed by a slow isomerization step to form a tight complex (EI*). The dissociation constant for the initial rapid forming complex is 370 nM, whereas the overall dissociation constant is estimated to be less than or equal to 1 nM. The difference between the two values is due to the tight binding nature of the inhibitor to the enzyme in EI*. The kinetic analysis using a preincubation protocol to pre-equilibrate the enzyme with the inhibitor in the presence of one substrate showed that Lavendustin-A is a hyperbolic mixed-type inhibitor with respect to both ATP and the peptide substrate, with a major effect on the binding affinities for both substrates. An analogue of Lavendustin-A (RG 14467) showed similar inhibition kinetics to that of Lavendustin-A. The results of the pre-steady state analysis are also consistent with the proposed two-step mechanism. The dissociation constant for the initial fast forming complex in this case is 3.4 microM, whereas the overall dissociation constant is estimated to be less than or equal to 30 nM. It is a partial (hyperbolic) competitive inhibitor with respect to ATP. Its inhibition is reduced to different extents by different peptide substrates, when the peptide is added to the enzyme simultaneously with the inhibitor. When studied with the least protective peptide, K1 (a peptide containing the major autophosphorylation site of the EGF receptor), RG 14467 acts as a hyperbolic noncompetitive inhibitor with respect to the peptide.     

Inhibition of Jack Bean Urease by N-(n-butyl)thiophosphorictriamide and N-(n-butyl)phosphorictriamide: Determination of the Inhibition Mechanism

N-(n-butyl)thiophosphorictriamide (NBPT) and its oxygen analogue N-(n-butyl)phosphorictriamide (NBPTO) were studied as inhibitors of jack bean urease. NBPTO was obtained by spontaneous conversion of NBPT into NBPTO. The conversion under laboratory conditions was slow and did not affect NBPT studies. The mechanisms of NBPT and NBPTO inhibition were determined by analysis of the reaction progress curves in the presence of different inhibitor concentrations. The obtained plots were time-dependent and characteristic of slow-binding inhibition. The effects of different concentration of NBPT and NBPTO on the initial and steady-state velocities as well as the apparent first-order velocity constants obeyed the relationships for a one-step enzyme-inhibitor interaction, qualified as mechanism A. The inhibition constants of urease by NBPT and NBPTO were found to be 0.15 μM and 2.1 nM, respectively. The inhibition constant for NBPT was also calculated by steady-state analysis and was found to be 0.13 μM. NBPTO was found to be a very strong inhibitor of urease in contrast to NBPT.     

Inhibition of jack bean urease by N-(n-butyl) thiophosphorictriamide and N-(n-butyl) phosphorictriamide: determination of the inhibition mechanism

N-(n-butyl)thiophosphorictriamide (NBPT) and its oxygen analogue N-(n-butyl)phosphorictriamide (NBPTO) were studied as inhibitors of jack bean urease. NBPTO was obtained by spontaneous conversion of NBPT into NBPTO. The conversion under laboratory conditions was slow and did not affect NBPT studies. The mechanisms of NBPT and NBPTO inhibition were determined by analysis of the reaction progress curves in the presence of different inhibitor concentrations. The obtained plots were time-dependent and characteristic of slow-binding inhibition. The effects of different concentration of NBPT and NBPTO on the initial and steady-state velocities as well as the apparent first-order velocity constants obeyed the relationships for a one-step enzyme-inhibitor interaction, qualified as mechanism A. The inhibition constants of urease by NBPT and NBPTO were found to be 0.15 microM and 2.1 nM, respectively. The inhibition constant for NBPT was also calculated by steady-state analysis and was found to be 0.13 microM. NBPTO was found to be a very strong inhibitor of urease in contrast to NBPT.     

The influence of product instability on slow-binding inhibition

We present a kinetic study of an enzyme reaction that takes place with slow-binding inhibition where the immediate product undergoes a spontaneous or induced process of decomposition. A kinetic study of an enzyme process, in which a slow-binding inhibition process and a decomposition of the immediate product of the reaction take place simultaneously is performed. The corresponding explicit concentration-time equations were obtained. Using the analytical solutions obtained, which were tested numerically, we suggest a procedure that allows the discrimination between the particular cases considered and the evaluation of the principal kinetic parameters of the reaction.     

Analysis of slow-binding enzyme inhibitors at elevated enzyme concentrations

The improvement in the characterization of slow-binding inhibitors achieved by performing experiments at elevated enzyme concentrations is presented. In particular, the characterization of slow-binding inhibitors conforming to a two-step mode of inhibition with a steady-state dissociation constant that is much lower than the initial dissociation constant with enzyme is discussed. For these systems, inhibition is rapid and low steady-state product concentrations are produced at saturating inhibitor concentrations. By working at elevated enzyme concentrations, improved signal-to-noise ratios are achieved and data may be collected at saturating inhibitor levels. Numerical simulations confirmed that improved parameter estimates are obtained and useful data to discern the mechanism of slow-binding inhibition are produced by working at elevated enzyme concentrations. The saturation kinetics that were unobservable in two previous studies of an enzyme inhibitor system were measured by performing experiments at an elevated enzyme concentration. These results indicate that consideration of the quality of the data acquired using a particular assay is an important factor when selecting the enzyme concentration at which to perform experiments used to characterize the class of enzyme inhibitors examined herein.