Quantifying the inactivation rate constants for the molecular species comprising the catalytic cycle of Leuconostoc mesenteroides glucose 6-phosphate dehydrogenase

When an unstable enzyme is incubated with its substrate(s), catalysis may cease before chemical equilibrium is attained. The residual substrate concentrations depend on their initial concentrations, the initial enzymic activity, and the inactivation rate constants for each molecular species that comprise the catalytic cycle. The underlying theory has been elaborated previously for single-substrate reactions and here it is extended to bi-substrate reactions. The theory is illustrated by application to glucose 6-phosphate dehydrogenase, which is unstable when exposed to a low concentration of sodium dodecyl sulphate. It is shown that the ternary complex containing both substrates is resistant to inactivation while each of the remaining complexes undergoes first-order decay. Rate constants for the inactivation of each complex are calculated.     

OPTA对乳酸脱氢酶的抑制动力学

邹承鲁建立的酶活性不可逆改变动力学理论已为实验所验证,它不仅适用于单底物酶的抑制和激活的动力学研究,而且也适用于双底物酶反应系统.但在双底物酶反应系统中,底物和酶的结合方式有四种机制,即随机机制、有序机制、强制有序机制和乒乓机制,迄今为止这一动力学方法仅对随机机制的肌酸激酶进行了实验研究.而其它机制的实验研究尚未见诸报道.我们选用了有序机制的乳酸脱氢酶(LDH),用邻苯二甲醛(OPTA)为抑制剂对该酶的抑制过程进行了实验研究.结果表明,OPTA对该酶的抑制为不可逆抑制.其产物生成与时间的关系曲线符合邹氏方程:[P]=[P]_x(1-e~(-A[OPTA]).由ln([P]_x-[P])对t作图为一直线,表明它的抑制作用为单相动力学过程,抑制剂与酶的结合为一步反应.由直线的斜率A[OPTA]对[OPTA]作图为一过原点的直线.说明表观速度常数A与OPTA的浓度无关.OPTA与酶的结合为非络合型.测得的OPTA与EE-NADH结合的微观速度常数分别为:K(?)=49.6(mmol L)~(-1)min,(?)=2.31(mmol L)min~(-1)(?).明显小于(?)的事实表明.NADH对失活有明显的保护作用.OPTA是一个竞争性的不可逆抑制剂.用传统的方法测得的(?)为42.5(mmol L)min~(-1).与邹氏方法测得的结果非常接近.     

Inactivation and conformational changes of aminoacyclase in trifluoroethanol solutions

The inactivation and unfolding of aminoacyclase (EC 3.5.1.14) during denaturation by different concentrations of trifluoroethanol (TFE) have been studied. A marked decrease in enzyme activity was observed at low TFE concentrations. The kinetic theory of the substrate reaction during irreversible inhibition of enzyme activity described previously by Tsou [Tsou (1988),Adv. Enzymol. Related Areas Mol. Biol. 61, 381–436] was applied to study the kinetics of the inactivation course of aminoacyclase during denaturation by TFE. The inactivation rate constants for the free enzyme and substrate-enzyme complex were determined by Tsou's method. The inactivation reaction was a monophasic first-order reaction. The kinetics of the unfolding course were a biphasic process consisting of two first-order reactions. At 2% TFE concentration, the inactivation rate of the enzyme was much faster than the unfolding rate. At a higher concentration of TFE (10%), the inactivation rate was too fast to be determined by conventional methods, whereas the unfolding course remained as a biphasic process with fast and slow reactions occurring at measurable rates. The results suggest that the aminoacyclase active site containing Zn²⁺ ions is situated in a limited and flexible region of the enzyme molecule that is more fragile to the denaturant than the protein as a whole.     

Half-time analysis of the kinetics of irreversible enzyme inhibition by an unstable site-specific reagent

The half-time method for the determination of Michaelis parameters from enzyme progress-curve data (Wharton, C.W. and Szawelski, R.J. (1982) Biochem. J. 203, 351-360) has been adapted for analysis of the kinetics of irreversible enzyme inhibition by an unstable site-specific inhibitor. The method is applicable to a model in which a product (R) of the decomposition of the site-specific reagent, retaining the chemical moiety responsible for inhibitor specificity, binds reversibly to the enzyme with dissociation constant Kr: (formula; see text). Half-time plots of simulated enzyme inactivation time-course data are shown to be unbiased, and excellent estimates of the apparent second-order rate constant for inactivation (k +2/Ki) and Kr can be obtained from a series of experiments with varying initial concentrations of inhibitor. Reliable estimates of k +2 and Ki individually are dependent upon the relative magnitudes of the kinetic parameters describing inactivation. The special case, Kr = Ki, is considered in some detail, and the integrated rate equation describing enzyme inactivation shown to be analogous to that for a simple bimolecular reaction between enzyme and an unstable irreversible inhibitor without the formation of a reversible enzyme-inhibitor complex. The half-time method can be directly extended to the kinetics of enzyme inactivation by an unstable mechanism-based (suicide) inhibitor, provided that the inhibitor is not also a substrate for the enzyme.     

Kinetics of inactivation of Ulva pertusa Kjellm alkaline phosphatase by ethylenediaminetetraacetic acid disodium

Ulva pertusa Kjellm alkaline phosphatase (EC 3.3.3.1) is a metalloenzyme, the active site of which contains a tight cluster of two zinc ions and one magnesium ion. The kinetic theory described by Tsou of the substrate reaction during irreversible inhibition of enzyme activity has been employed to study the kinetics of the course of inactivation of the enzyme by EDTA. The kinetics of the substrate reaction at different concentrations of the substrate p-nitrophenyl phosphate (PNPP) and inactivator EDTA indicated a complexing mechanism for inactivation by, and substrate competition with, EDTA at the active site. The inactivation kinetics are single phasic, showing that the initial formation of an enzyme-EDTA complex is a relative rapid reaction, following by a slow inactivation step that probably involves a conformational change of the enzyme. The presence of Zn2+ apparently stabilizes an active-site conformation required for enzyme activity.     

PAR对氨基酰化酶不可逆抑制动力学研究

本文将邹氏的在酶的活性修饰剂存在下的底物反应动力学理论应用于氨基酰化酶被金属螯合剂PAR脱锌而失活的动力学研究。通过对不同浓度的PAR存在下底物反应过程和含有PAR的不同浓度的底物中酶促反应的分析,讨论了PAR对氨基酰化酶的脱锌机制。这一过程很可能按如下机制进行:首先,PAR与酶分子活性部位的锌结合,形成一复合物,这一步是较快的反应,然后发生一个可逆的构象变化,最后是不可逆的去锌步骤。锌的存在显然稳定了酶活性部位的构象,而这正是酶活性所必需的。     

Role of the antithrombin-binding pentasaccharide in heparin acceleration of antithrombin-proteinase reactions. Resolution of the antithrombin conformational change contribution to heparin rate enhancement.

The synthetic antithrombin-binding heparin pentasaccharide and a full-length heparin of approximately 26 saccharides containing this specific sequence have been compared with respect to their interactions with antithrombin and their ability to promote inhibition and substrate reactions of antithrombin with thrombin and factor Xa. The aim of these studies was to elucidate the pentasaccharide contribution to heparin's accelerating effect on antithrombin-proteinase reactions. Pentasaccharide and full-length heparins bound antithrombin with comparable high affinities (KD values of 36 +/- 11 and 10 +/- 3 nM, respectively, at I 0.15) and induced highly similar protein fluorescence, ultraviolet and circular dichroism changes in the inhibitor. Stopped-flow fluorescence kinetic studies of the heparin binding interactions at I 0.15 were consistent with a two-step binding process for both heparins, involving an initial weak encounter complex interaction formed with similar affinities (KD 20-30 microM), followed by an inhibitor conformational change with indistinguishable forward rate constants of 520-700 s-1 but dissimilar reverse rate constants of approximately 1 s-1 for the pentasaccharide and approximately 0.2 s-1 for the full-length heparin. Second order rate constants for antithrombin reactions with thrombin and factor Xa were maximally enhanced by the pentasaccharide only 1.7-fold for thrombin, but a substantial 270-fold for factor Xa, in an ionic strength-independent manner at saturating oligosaccharide. In contrast, the full-length heparin produced large ionic strength-dependent enhancements in second order rate constants for both antithrombin reactions of 4,300-fold for thrombin and 580-fold for factor Xa at I 0.15. These enhancements were resolvable into a nonionic component ascribable to the pentasaccharide and an ionic component responsible for the additional rate increase of the larger heparin. Stoichiometric titrations of thrombin and factor Xa inactivation by antithrombin, as well as sodium dodecyl sulfate-polyacrylamide gel electrophoresis of the products of these reactions, indicated that pentasaccharide and full-length heparins similarly promoted the formation of proteolytically modified inhibitor during the inactivation of factor Xa by antithrombin, whereas only the full-length heparin was effective in promoting this substrate reaction of antithrombin during the reaction with thrombin.(ABSTRACT TRUNCATED AT 400 WORDS)     

Regulation of the peptidylglutamyl-peptide hydrolyzing activity of the pituitary multicatalytic proteinase complex

The finding that the activity of the multicatalytic proteinase complex (MPC) is greatly activated by low concentrations of sodium dodecyl sulfate (SDS) and fatty acids led to the proposal that the proteolytic activity of the complex is latent and that activation is needed for expression of full activity. Kinetic examination of the nature of the latency with Cbz-Leu-Leu-Glu-2-naphthylamide, a substrate cleaved by the peptidylglutamyl-peptide hydrolyzing activity (PGPH activity) of the complex, showed that plots of velocity versus substrate concentration yield sigmoidal curves, implying the presence of two or more substrate binding sites and the presence of cooperative interactions between the sites. Hill plots of log [v/(Vmax-v)] versus log [S] gave slopes with a Hill coefficient of 2.2-2.4, suggesting that more than two subunits are expressing the PGPH activity. At saturating substrate concentrations, SDS and lauric acid exposed a masked component of PGPH activity that was about equal in magnitude to the overt activity measured in the absence of these detergents, showing that under the latter conditions only about half of the enzyme activity is expressed. Activation by SDS and lauric acid was greater at low than at high substrate concentrations and was associated with a shift of the substrate concentration at half-Vmax (apparent Km) toward lower values. The decrease in the apparent Km in the presence of SDS (but not in the presence of lauric acid) was associated with a decrease in cooperativity. The presence of at least two distinct PGPH activity components with different reactivities was also indicated by the finding of two distinct inactivation rate constants in reactions with 3,4-dichloroisocoumarin, an irreversible inhibitor of the enzyme.(ABSTRACT TRUNCATED AT 250 WORDS)     

Progress curves of reactions catalyzed by unstable enzymes. A theoretical approach

When an enzyme is incubated with its substrate, the rate of catalysis will decline with time due to the combined effects of substrate utilization and product accumulation. These effects will be superimposed upon a progressive loss of catalytic activity if the enzyme is unstable, either spontaneously or as a result of an added reagent. In this report, the effect of enzyme inactivation on the progress curve for an enzyme-catalyzed reaction is considered. It is shown that under most circumstances catalysis will stop before the substrate is totally exhausted and that the amount of substrate remaining is related to the inactivation rate constants for various intermediates on the catalytic pathway. A graphical method for estimating these inactivation rate constants is suggested for several situations, including one which encompasses the effect of a suicide substrate. Expressions for the half time of the reaction are also given for some special cases.     

Enzymatic breakdown of threonine by threonine aldolase

1. The enzyme which splits threonine to acetaldehyde and glycine has been partially purified from rat liver (five- to sixfold purification) and the name threonine aldolase proposed for it. 2. The general properties of threonine aldolase have been studied. The enzyme is unstable to a pH below 5. The pH optimum of the enzyme reaction is at 7.5-7.7. The initial rate of production of acetaldehyde is proportional to the enzyme concentration, and when the enzyme concentration is constant, the production of acetaldehyde is proportional to the time, provided that the substrate is in excess. The enzyme is inhibited by the carbonyl group reagent, hydroxylamine. Attempts to demonstrate that pyridoxal phosphate is a cofactor were unsuccessful. 3. The enzyme splits only L-allothreonine and L-threonine and is inactive against the D-forms of these amino acids. 4. The enzyme reaction on DL-allothreonine follows first order kinetics. From the first order velocity constants and the initial rates of the rates of the reaction at various substrate concentrations the Michaelis constant, Ks, for this substrate has been evaluated. Michaelis constants have also been determined for threonine. 5. The optimum temperature for the enzymatic breakdown of DL-allothreonine at pH 7.65 was found to be 50 degrees C. in phosphate buffer and 48 degrees C. in tris-maleate buffer. The rate of thermal inactivation of the enzyme threonine aldolase obeys a first order reaction. The heat of thermal inactivation was calculated by the aid of the van't Hoff-Arrhenius equation to be 43,000 cal. per mole for the temperature range 41.2-46.6 degrees C. 6. Equivalent amounts of acetaldehyde and glycine were formed from DL-allothreonine and the enzymatic breakdown of DL-allothreonine was found to be irreversible.     

A kinetic study of the suicide inactivation of an enzyme measured through coupling reactions. Application to the suicide inactivation of tyrosinase.

A systematic procedure for the kinetic study of reaction mechanisms with enzyme inactivation induced by a suicide substrate in the presence or in the absence of an auxiliary substrate, when the enzyme activity is measured through coupling reactions, enzymically catalysed or not, was developed and analysed by using the transient-phase approach. The methodology is established to determine the parameters and kinetic constants corresponding to the enzyme suicide inactivation and the coupling reactions. This approach is illustrated by a study of the suicide inactivation of tyrosinase by catechol in the presence of L-proline. Treatment of the experimental data was carried out by non-linear regression.     

Kinetics of inactivation of green crab (Scylla Serrata) alkaline phosphatase during removal of zinc ions by ethylenediaminetetraacetic acid disodium

Green crab (Scylla Serrata) alkaline phosphatase (EC 3.1.3.1.) is a metalloenzyme, the each active site in which contains a tight cluster of two zinc ions and one magnesium ion. The kinetic theory of the substrate reaction during irreversible inhibition of enzyme activity previously described by Tsou has been applied to a study on the kinetics of the course of inactivation of the enzyme by ethylenediaminetetraacetic acid disodium (EDTA). The kinetics of the substrate reaction with different concentrations of the substrate p-nitrophenyl phosphate (PNPP) and inactivator EDTA suggested a complexing mechanism for inactivation by, and substrate competition with, EDTA at the active site. The inactivation kinetics are single phasic, showing the initial formation of an enzyme-EDTA complex is a relatively rapid reaction, followed a slow inactivation step that probably involves a conformational change of the enzyme. Zinc ions are finally removed from the enzyme. The presence of metal ions apparently stabilizes an active-site conformation required for enzyme activity.     

Kinetic analysis of urea-inactivation of beta-galactosidase in the presence of galactose

The effect of galactose on the inactivation of purified beta-galactosidase from the black bean, Kestingiella geocarpa, in 5 M urea at 50 degrees C and at pH 4.5, was determined. Lineweaver-Burk plots of initial velocity data in the presence and absence of urea and galactose were used to determine the relevant K(m) and V(max) values, with p-nitrophenyl beta-D-galactopyranoside (PNPG) as substrate, S. The inactivation data were analysed using the Tsou equation and plots. Plots of ln([P](infinity) - [P](t) ) against time in the presence of urea yielded the inactivation rate constant, A. Plots of A vs [S] at different galactose concentrations were zero order showing that A was independent of [S]. Plots of [P](infinity) vs [S] were used to determine the mode of inhibition of the enzyme by galactose, and slopes and intercepts of the 1/[P](infinity) vs. 1/[S] yielded k(+0) and k '(+0), the microscopic rate constants for the free enzyme and the enzyme-substrate complex, respectively. Plots of k(+0) and k '(+0) vs. galactose concentrations showed that galactose protected the free enzyme and not the enzyme-substrate complex against urea inactivation via a noncompetitive mechanism at low galactose concentrations and a competitive pattern of inhibition at high galactose concentrations. The implication of the different modes of inhibition in protecting the free enzyme was discussed.     

Inactivation kinetics of mushroom tyrosinase in the dimethyl sulfoxide solution

Mushroom tyrosinase (EC 1.14.18.1) is a kind of copper-containing oxidase that catalyzes both the hydroxylation of tyrosine into o-diphenols and the oxidation of o-diphenols into o-quinones and then forms brown or black pigments. In the present paper, the effects of dimethyl sulfoxide on the enzyme activity for the oxidation of L-3,4-dihydroxyphenylalanine (L-DOPA) have been studied. The results show that low concentrations of dimethyl sulfoxide (DMSO) can lead to reversible inactivation of the enzyme, and the IC ₅₀ is estimated to be 2.45 M. Inactivation of the enzyme by DMSO is classified as mixed type. The kinetics of inactivation of mushroom tyrosinase at low concentrations of DMSO solution has been studied using the kinetic method of the substrate reaction. The rate constants of inactivation have been determined. The results show the free enzyme molecule is more fragile than the enzyme–substrate complex in the DMSO solution. It is suggested that the presence of the substrate offers marked protection of this enzyme against inactivation by DMSO.     

Inactivation kinetics of β-N-acetyl-D-glucosaminidase from prawn (<Emphasis Type="Italic">Penaeus vannamei</Emphasis>) in dioxane solution

beta-N-Acetyl-D-glucosaminidase (NAGase, EC 3.2.1.52) catalyzes the cleavage of N-acetylglucosamine polymers. It is in the composition of the chitinases and cooperates with endo-chitinase and exo-chitinase to disintegrate chitin into N-acetylglucosamine. In this work, the effects of dioxane on the enzyme activity for the hydrolysis of p-nitrophenyl-N-acetyl-beta-D-glucosaminide from the prawn (Penaeus vannamei) have been studied. The results show that appropriate concentrations of dioxane can lead to reversible inactivation of the enzyme, and the IC(50) is estimated to be 1.1 M. The kinetics of inactivation of NAGase in the appropriate concentrations of dioxane solution has been studied using the kinetic method of the substrate reaction. The rate constants of inactivation have been determined. The results show that the free enzyme molecule is more fragile than the enzyme-substrate complex in the dioxane solution. It is suggested that the presence of the substrate offers marked protection of this enzyme against inactivation by dioxane.     

Unfolding and inactivation of fatty acid synthase from chicken liver during urea denaturation

The inactivation and conformational changes of the multifunctional fatty acid synthase (acyl-CoA:malonyl-CoA C-acyltransferase (decarboxylating, oxoacyl- and enoyl-reducing and thioester-hydrolyzing), EC 2.3.1.85) from chicken liver have been studied in urea solution. The results show that complete inactivation of the fatty acid synthase occurs before obvious conformational changes with regard to the overall, beta-ketoacyl reduction and acetoacetyl-CoA reduction reactions. Significant conformational changes indicated by the changes of the intrinsic fluorescence emission and the circular dichroism spectra occurred at higher urea concentrations. The kinetic rate constants for the two phase inactivation and unfolding reactions were measured and semilogarithmic plots of the activity versus time gave curves which could be resolved into two straight lines, indicating that both the inactivation and unfolding processes consisted of fast and slow phases as a first-order reaction. The results from Lineweaver-Burk plots indicated that urea is a competitive inhibitor for acetyl-CoA and malonyl-CoA, with K(m) increasing with increasing urea concentrations. However, urea is a noncompetitive inhibitor for NADPH, the substrate of the overall reaction and beta-ketoacyl reduction reaction, and acetylacetate, the substrate of the beta-ketoacyl reduction reaction. Activation by low concentrations of urea was observed although this activation was only temporarily induced in an early stage of inactivation. The aggregation phenomenon of the fatty acid synthase in a certain concentration range of urea (3-4 M) was also observed during unfolding. This result shows that this multifunctional enzyme unfolds with competition with misfolding in the folding pathway. Comparison of inactivation and conformational changes of the enzyme as well as aggregation imply that unfolding intermediates may exist during urea denaturation. The possible unfolding pathway of fatty acid synthase is also discussed in this paper.     

Estimation of the overall kinetic parameters of enzyme inactivation using an isoconversional method

An isoconversional method is proposed in order to calculate the kinetic parameters of enzyme inactivation. The method provides an efficient and low-cost procedure to describe both operational and thermal inactivation. Unlike the ordinary kinetic assays performed at constant enzyme concentration and at various substrate concentrations, the isoconversional method requires several extended kinetic curves for constant initial substrate concentration and different enzyme concentrations. The procedure was tested and validated using simulated data obtained for several kinetic models frequently discussed in the literature. After the validation, the isoconversional method was used for the investigation of the thermoinactivation of urease during urea hydrolysis in self buffered medium and the operational inactivation (destructive oxidation by excess peroxide) of catalase at high concentration of hydrogen peroxide. The results showed that the isoconversional method gives good results of global inactivation constant for both simple and more complex models.     

Inactivation and conformational changes of creatine kinase at low concentrations of hexafluoroisopropanol solutions.

Using the methods of far-ultraviolet circular dichroism (CD) spectra, fluorescence spectra, and enzyme activity assays, the inactivation and conformational changes of creatine kinase (CK) induced by 1,1,1,3,3,3-hexafluoro-2-propanol (hexafluoroisopropanol (HFIP)) of different concentrations were investigated. To avoid the aggregation of CK that occurs with high HFIP, concentrations of 0%-5% HFIP were used in this study. The CD spectra showed that HFIP concentrations above 2.5% strongly induced the formation of secondary structures of CK. No marked conformational changes were observed at low concentrations of HFIP (0%-2.5%). After incubation with 0.2% HFIP for 10 min, CK lost most of its activity. The kinetic theory of the substrate reaction during irreversible inhibition of enzyme activity described previously by Tsou was applied to study the kinetics of CK inactivation during denaturation by HFIP. The inactivation rate constants for the free enzyme and the substrate-enzyme complex were determined by Tsou's method. The results suggested that low concentrations of HFIP had a high potential to induce helices of protein and that the active site of the enzyme was situated in a limited and flexible region of the enzyme molecule that was more susceptible to the denaturant than was the protein as a whole.     

双底物酶促反应的底物抑制分析

存在于双底物随机机制的途径中,偏离米氏方程行为的底物抑制现象被作为一个问题进行探讨．通过计算机模拟出双底物浓度和稳态下的初始速率构成的三维图形,提出底物抑制、速率常数和底物浓度之间的关系．     

Inhibition and inactivation of horseradish peroxidase by thiourea

The kinetics of horseradish peroxidase (EC 1.11.1.7)-catalyzed oxidation of o-dianisidine by hydrogen peroxide in the presence of thiourea were studied. At the first, fast step of this process thiourea acts as a competitive reversible inhibitor with respect to o-dianisidine (Ki = 0.22 mM). The formation of a thiourea-peroxidase complex was determined by the increase in the absorbance at A495 and A638 of the enzyme. The dissociation constant for the peroxidase-thiourea complex is equal to 2.0-2.7 mM. Thiourea is not a specific substrate of peroxidase during the oxidation reaction by H2O2, but is an oxidase substrate (although not a very active one) of peroxidase. The irreversible inactivation of the enzyme during its incubation with thiourea was studied. The first-order inactivation rate constant (kin) was shown to increase with a fall in the enzyme concentration. The curve of the dependence of kin on the initial concentration of thiourea shows a maximum at 5-7 mM. The enzyme inactivation is due to its modification by intermediate free radical products of thiourea oxidation. The inhibitors of the free radical reactions (o-dianisidine) protect the enzyme against inactivation. The degree of inactivation depends on concentrations and ratio of thiourea and peroxidase. A possible mechanism of peroxidase interaction with thiourea is discussed.