A method for analyzing enzyme kinetics with substrate activation and inhibition and its application to the alpha-chymotrypsin-catalyzed hydrolysis of phenyl acetates.

A general kinetic method was developed to analyze enzyme-catalyzed systems complicated by the presence of activation or inhibition by substrate. The method was applied to the alpha-chymotrypsin [EC 3.4.21.1]-catalyzed hydrolysis of p-chlorophenyl and p-methoxyphenyl acetates. Deacylation rate constants which were not complicated by substrate activation were obtained. The analysis shows that the abnormal substituent dependence of kcat in the steady state hydrolysis is due not to substrate activation but to inappropriateness of the two-step mechanism or the existence of more than one acetyl-enzyme intermediate.     

Pressure effects on substrate activation phenomena in the alpha-chymotrypsin-catalyzed hydrolysis of p-nitrophenyl acetate

With and without p-chlorophenol as an activator, the rates of hydrolysis of p-nitrophenyl acetate catalyzed by alpha-chymotrypsin were measured at pressures up to 2 kbar at 25 degrees C. From the pressure dependence of the rate constant (kcat)A and (kcat)0 of the product formation with and without an activator, the activation volumes (delta V not equal to cat)A and (delta not equal to cat)0 were +2 and -6 +/- 1 cm3.mol-1. From the pressure dependence of the equilibrium constant (KA) of incorporation of p-chlorophenol into the enzyme, the volume change (delta VA) was -10 +/- 1 cm3.mol-1. The mechanisms of the substrate activation are discussed in terms of the activation and reaction volumes.     

Volatile anesthetics-induced activation phenomena of alpha-chymotrypsin-catalyzed hydrolysis.

The rates of hydrolysis of p-nitrophenyl acetate (pNPA), p-nitrophenyl propionate (pNPP), p-nitrophenyl butanate (pNPB), and p-nitrophenyl valerate (pNPV) catalyzed by alpha-chymotrypsin (alpha-CHT) were measured with and without volatile anesthetics at 25.0 degrees C. Halothane activated the hydrolysis of pNPA and pNPP, meanwhile inhibited that of pNPB and pNPV. The activation phenomena were explained by the existence of a 1:1 enzyme-anesthetics complex and the opening of an activated pathway. The rate constant of pNPA hydrolysis catalyzed by alpha-CHT of the activated pathway kA by halothane was 0.269 s-1, whereas that of the normal pathway was k0 0.093 s-1. The free energy of activation was stabilized at 0.64 kcal/mol by halothane. The mechanisms of the activation and inhibition are discussed in terms of the molecular size of the substrate and anesthetics.     

alpha-chymotrypsin-catalyzed hydrolysis of phenyl acetate. Large Hammett's rho constant and participation of histidine-acylated intermediate.

A detailed examination of the mechanism of the hydrolysis of phenyl acetates by alpha-chymotrypsin [EC 3.4.21.1] was carried out. The effective deacylation rate constants of some phenyl acetates obtained by titration of the acetyl-enzyme decreased at low substrate concentrations and showed anomalous pH dependences and solvent isotope effects. The transient kinetics of deacylation of the acetyl-enzyme were biphasic. A spectrum and a breakdown rate similar to those of acetylimidazole were observed when the acetyl-enzyme was denaturated with sodium dodecyl sulfate. These results indicate the participation of histidine-acylated enzyme, which woud account for the anomalous phenomena previously found in this system, including a large value of Hammett's rho. The relation between the substrate activation and the two intermediates is discussed.     

Concerning the rate limiting step in the hydrolysis of substituted phenyl acetates by acetylcholinesterase

Kinetic parameters of acetylcholinesterase catalyzed hydrolysis of substituted phenyl acetates under the conditions of S ? E and S ? E, were analyzed in terms of the Hammett plot. In both cases, the slope of the line changes from negative for the electron withdrawing substituents to positive for the electron donating substituents. It is suggested that formation of a hydrogen bonded tetrahedral intermediate may be rate limiting in the hydrolysis of some substrates by acetylcholinesterase.     

Kinetic investigation of the alpha-chymotrypsin-catalyzed hydrolysis of peptide-ester substrates. The relationship between the structure of the peptide moiety and reactivity.

A number of peptide-ester substrates of the general structure Ac-Lxn-...-Lx2-Lx1-OMe have been synthesized and their alpha-chymotrypsin-catalyzed hydrolysis studied. The kinetic analysis involved varying the concentration of substrate and methanol product, and measuring rates along the entire progression curve. For the dipeptide esters Ac-Lx2-Lx1-OMe and the amino-acid derivatives Ac-Lx1-OMe the following constants could be determined: the dissociation constant of the enzyme-substrate complex, KEA, both rate constants of the acylation step, k23 and k32, and the forward rate constant of the deacylation step, k31. For the tripeptide ester Ac-Ala-Ala-Tyr-OMe it appears that the rate constant for the dissociation of the enzyme-substrate complex, k21, is smaller than the rate constant for acylation, k23. Thus, for this substrate only the association and dissociation rate constants k12 and k21 could be determined and the values of k23, k32 and k31 only indirectly estimated. The influence of structural changes in the peptide moiety of the substrates on reactivity has been established by comparing the rate constants of appropriate pairs of substrates. It was found that the substrate reactivity, as measured by k23/KEA, increase with the number and strength of the secondary interactions in a manner consistent with the binding scheme which has been proposed on the basis of crystallographic studies. The effect of a particular interaction on k23 and on KEA is dependent on the nature of the other interactions. However, the effect of k23/KEA appears to be independent of the presence of the other interactions and therefore characteristic of that particular interaction. The results for these substrates are compared with those found previously for a series of peptide substrates of the structure Ac-Lxn-... Lx2-...-Lx1-Gly-NH2 which have the same acyl moiety as the peptide esters studied in this work.     

Lysozyme conjugate immune complex formation and the effects on substrate hydrolysis

The defined estrone glucuronide-lysozyme conjugate E3, that is acylated solely at K33, was used as a probe for the steric requirements of the active site cleft of chicken type lysozymes. When the immune complex was formed with an anti-estrone glucuronide antiserum, the rate of lysis of the E3 conjugate with the large bacterial substrate Micrococcus lysodeikticus was inhibited by over 90%. However, when the small hexamer of N-acetyl glucosamine was used as the substrate, the rate of hydrolysis by the immune complex was accelerated by 350% compared with the control rate. Thus, inhibition by the anti-estrone glucuronide cannot be caused simply by steric occlusion of the active site. Other factor(s) in the immune complex activate the hydrolysis reaction, most likely by favouring the conformations that lead to the transition state.     

Kinetic alpha-deuterium isotope effects for enzymatic and nonenzymatic hydrolysis of nicotinamide-beta-riboside.

The kinetic α-secondary deuterium isotope effect, $\text{k}{}_{\mathrm{H}}\text{k}{}_{\mathrm{D}}$, for the pH-independent hydrolysis of nicotinamide riboside, yielding nicotinamide and ribose, in water at 25 ° is 1.14, establishing that this reaction proceeds with unimolecular substrate decomposition to yield a carboxonium ion, or related species, in the rate-determining step. Surprisingly, the corresponding isotope effect for the base-catalyzed decomposition of the same substrate is 1.12, a value indicating considerable sp² character at the Cl′ position in the transition state for this reaction. A similar result, $\text{k}{}_{\mathrm{H}}\text{k}{}_{\mathrm{D}}\text{= 1.15}$, was obtained for base-catalyzed hydrolysis of NAD⁺. The kinetic alpha deuterium isotope effect for the pig brain NAD glycohydrolasecatalyzed hydrolysis of nicotinamide riboside is 1.08. This value suggests that CN bond cleavage to form an intermediate carboxonium ion, or structurally related species, is at least partially rate-determining. In contrast, the corresponding value for the hydrolysis of this substrate catalyzed by Escherichia coli nicotinamide ribonucleotide glycohydrolase is very near unity, a result consistent with several interpretations including a rate-determining enzyme isomerization reaction.     

Involvement of deacylation in activation of substrate hydrolysis by Drosophila acetylcholinesterase

Insect acetylcholinesterase (AChE), an enzyme whose catalytic site is located at the bottom of a gorge-like structure, hydrolyzes its substrate over a wide range of concentrations (from 2 microm to 300 mm). AChE is activated at low substrate concentrations and inhibited at high substrate concentrations. Several rival kinetic models have been developed to try to describe and explain this behavior. One of these models assumes that activation at low substrate concentrations partly results from an acceleration of deacetylation of the acetylated enzyme. To test this hypothesis, we used a monomethylcarbamoylated enzyme, which is considered equivalent to the acylated form of the enzyme and a non-hydrolyzable substrate analog, 4-oxo-N,N,N-trimethylpentanaminium iodide. It appears that this substrate analog increases the decarbamoylation rate by a factor of 2.2, suggesting that the substrate molecule bound at the activation site (K(d) = 130 +/- 47 microm) accelerates deacetylation. These two kinetic parameters are consistent with our analysis of the hydrolysis of the substrate. The location of the active site was investigated by in vitro mutagenesis. We found that this site is located at the rim of the active site gorge. Thus, substrate positioning at the rim of the gorge slows down the entrance of another substrate molecule into the active site gorge (Marcel, V., Estrada-Mondaca, S., Magné, F., Stojan, J., Klaébé, A., and Fournier, D. (2000) J. Biol. Chem. 275, 11603-11609) and also increases the deacylation step. This results in an acceleration of enzyme turnover.     

Malate dehydrogenase. Kinetic studies of substrate activation of supernatant enzyme by L-malate.

At pH 8.0 in 0.05 M Tris-acetate buffer at 25 degrees C, homogeneous supernatant malate dehydrogenase exhibits substrate activation by L-malate. The turnover number, Michaelis constant for L-malate, and Michaelis constant for NAD are: 0.46 X 10(4) min(-1), 0.036 mM, and 0.14 mM, respectively, for nonactivated enzyme and 1.1 X 10(4) min(-1), 0.2mM, and 0.047 mM for the same series of constants in activated enzyme. Nonactivating behavior is observed at concentrations between 0.02 and 0.15 mM L-malate and activating behavior is observed between 0.15 and 0.5 mM L-malate. L-Malate activation is compared with similar activation of mitochondrial malate dehydrogenase. While it is not possible to exclude unequivocally all mechanisms, the data seem to be consistent with the occurrence of a fundamentally ordered bi bi mechanism, possibly involving activation through the allosteric binding of L-malate. It is concluded that the data are consistent with a form of the "reciprocating compulsory order mechanism" in which nonactivated enzyme reflects catalysis by one subunit and activated catalysis expresses the coordinated activity of two subunits. The allosteric interaction and the "reciprocating mechanism/ are not mutually exclusive.     

Kinetic effects of simultaneous inhibition by substrate and product

The starting point for the present investigations was the finding that increasing influent concentrations from 10 to 380 mmol/L glucose decreased the attainable growth rate of an acidogenic population in continuous culture from 0.52 to 0.05 h(-1) To account for this phenomenon, a new kinetic model is developed that combines substrate and product inhibition. Both effects are connected through the product yield, giving rise to a complex dependency of the growth rate on the substrate concentration. As a main feature, the maximum attainable growth rate decreases almost hyperbolically above some optimal substrate concentration in the influent. Furthermore, under certain conditions the kinetic model predicts the existence of three steady states: a high-conversion and a low-conversion state that are both stable and a metastable intermediate state. The latter states from the multiple-steady-state region are to be avoided, and eventual transitions to these states may have important consequences for the stability and the operation of such reaction systems. Substrate as well as product inhibition is reported for Propionibacterium freundenreichii and recently could be demonstrated for the above-mentioned acidogenic population. The proposed model allows optimization of anaerobic wastewater treatment processes and is applicable also to other fermentations.