Substituent effects on substrate activation and Michaelis-Menten Kinetic parameters in the alpha-chymotrypsin-catalyzed hydrolysis of phenyl acetates.

The effects of substituents on the steady state and pre-steady state kinetics in alpha-chymotrypsin [EC 3.4.21.1]-catalyzed hydrolysis were studied using substituted phenyl acetates. In the steady state hydrolysis, substrate activation, which had been observed and studied previously for p-nitrophenyl acetate, was also observed for p-bromo, p-chloro-, and m-methylphenyl acetates. Little activation was observed for p-acetyl-, m-nitro-, p-methyl-, and p-methoxyphenyl acetates. Addition of p-dichlorobenzene increased kcat for all substrates examined and greatly diminished the substrate activation for the activatable substrate(s) to activator binding site(s). The value of kcat decreased in accordance with increase of the sigma-value of substituents. On the other hand, kcat/Km (app) showed an opposite sigma- dependence, as was previously observed. In pre-steady state measurements, little burst was observed for more electron-donating substituents than m-nitro. The sigma dependence of kcat is apparently not consistent with the prediction derived from that of kcat/Km (app) on the basis of the usual two-step mechanism with a common 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.     

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.     

An algebraic model for the kinetics of covalent enzyme inhibition at low substrate concentrations

This article describes an integrated rate equation for the time course of covalent enzyme inhibition under the conditions where the substrate concentration is significantly lower than the corresponding Michaelis constant, for example, in the Omnia assays of epidermal growth factor receptor (EGFR) kinase. The newly described method is applicable to experimental conditions where the enzyme concentration is significantly lower than the dissociation constant of the initially formed reversible enzyme–inhibitor complex (no “tight binding”). A detailed comparison with the traditionally used rate equation for covalent inhibition is presented. The two methods produce approximately identical values of the first-order inactivation rate constant (k_inact). However, the inhibition constant (K_i), and therefore also the second-order inactivation rate constant k_inact/K_i, is underestimated by the traditional method by up to an order of magnitude.     

A versatile equation to describe reversible enzyme inhibition and activation kinetics: modeling beta-galactosidase and butyrylcholinesterase

Current treatments for Alzheimer's disease involve inhibiting cholinesterases. Conversely, cholinesterase stimulation may be deleterious. Homocysteine is a known risk factor for Alzheimer's and vascular diseases and its active metabolite, homocysteine thiolactone, stimulates butyrylcholinesterase. Considering the opposing effects on butyrylcholinesterase of homocysteine thiolactone and cholinesterase inhibitors, understanding how these molecules alter this enzyme may provide new insights in the management of dementia. Butyrylcholinesterase does not strictly adhere to Michaelis-Menten parameters since, at higher substrate concentrations, enzyme activation occurs. The substrate activation equation for butyrylcholinesterase does not describe the effects of inhibitors or non-substrate activators. To address this, global data fitting was used to generate a flexible equation based on Michaelis-Menten principles. This methodology was first tested to model complexities encountered in inhibition by imidazole of beta-galactosidase, an enzyme that obeys Michaelis-Menten kinetics. The resulting equation was sufficiently flexible to permit expansion for modeling activation or inhibition of butyrylcholinesterase, while accounting for substrate activation of this enzyme. This versatile equation suggests that both the inhibitor and non-substrate activator examined here have little effect on the substrate-activated form of butyrylcholinesterase. Given that butyrylcholinesterase inhibition can antagonize stimulation of this enzyme by homocysteine thiolactone, cholinesterase inhibition may have a role in treating Alzheimer and vascular diseases related to hyperhomocysteinemia.     

A method of determining inhibitory constants during reversible inhibition of enzymatic hydrolysis of a substrate

Determination of inhibitory constants and antienzymic activity of reversible retardants of different type of action by the generalized inhibitory constant K sigma is estimated, results being presented. To determine more precisely the values of inhibitory constants of the competitive (Ki), noncompetitive (K'i) inhibition and of the generalized K sigma it is suggested to conduct linearization of the experimental data in coordinates: 1/K sigma, s; 1/[S], where K sigma, s is a total inhibitory constant whose value depends on the substrate [S] concentration and to make calculations by the least-square method with the allowance for principal intervals of the Km values and the maximal rate of the enzymic reaction V. Comparative calculations are made by a computer using the BASIC/RT-60 language programme through the example of the acetyl choline acetyl hydrolase (EC 3.1.1.7) interaction with the quaternary phosphonium salts--reversible retardants of this enzyme.     

A general method for relieving substrate inhibition in lactate dehydrogenases.

The mutation S163L in human heart lactate dehydrogenase removes substrate inhibition while only modestly reducing the turnover rate for pyruvate. Since this is the third enzyme to show this behaviour, we suggest that the S163L mutation is a general method for the removal of substrate inhibition in L-LDH enzymes. Engineering such enzymatic properties has clear industrial applications in the use of these enzymes to produce enantiomerically pure alpha-hydroxy acids. The mutation leads to two principal effects. (1) Substrate inhibition is caused by the formation of a covalent adduct between pyruvate and the oxidized form of the cofactor. The inability of S163L mutants to catalyse the formation of this inhibitory adduct is demonstrated. However, NMR experiments show that the orientation of the nicotinamide ring in the mutant NAD+ binary complex is not perturbed. (2) The mutation also leads to a large increase in the KM for pyruvate. The kinetic and binding properties of S163L LDH mutants are accounted for by a mechanism which invokes a non-productive, bound form of the cofactor. Molecular modelling suggests a structure for this non-productive enzyme-NADH complex.     

Simple method for analyzing the pattern of DNA polymorphism and its application to SNP data of human

In order to analyze the pattern of DNA polymorphism in detail, we have developed a simple method using a new statistic theta(i) which estimates 4Nmu from the number of segregating sites whose allelic nucleotide frequency is i/n among n DNA sequences, where N is the effective population size and mu is the mutation rate per generation per nucleotide site. Under the assumption that mutations are selectively neutral and a population size is constant, the expectation of theta(i) is equal to that of theta, which estimates 4Nmu from the number of segregating sites, so that the distribution of theta(i) is flat. Therefore, the departure of the distribution of theta(i) from the horizontal line, which represents the value of theta, reflects change in population size and natural selection. Results of the coalescent simulation show that the distributions of theta(i) in the populations which experienced expansion and reduction are U-shaped and upside-down U-shaped, respectively. And the distributions of theta(i) in some populations that experienced bottleneck are W-shaped. Furthermore, we have applied this method to the SNP data in the International HapMap Project. Results of data analyses show that the distributions of theta(i) in the CEU (European), CHB and JPT (Asian) populations are different from that in the YRI population (African). From these results of data analyses in nuclear DNA and the pattern of polymorphism in human mitochondrial DNA already known, we infer that the CEU, CHB and JPT populations experienced the bottleneck.     

Optimal substrate feeding policy for a fed batch fermentation with substrate and product inhibition kinetics

The optimal substrate feeding policy for the fed batch fermentation which is governed by product and substrate inhibited kinetics is presented. The conjunction point between nonsingular and singular arcs and the feeding policy along the singular arc are derived analytically in terms of the concentrations of substrate and product and the liquid volume. Thus, it is possible to determine the feeding rate by monitoring the state variables (i.e., closed loop control). As a specific example, an optimization study of the fed batch fermentation for ethanol production by Saccharomyces cerevisiae is presented. It is shown that the optimal feeding patterns are heavily dependent upon the initial conditions. The point selectivity provides the guideline for predicting the optimal feeding patterns and explaining the results of rigorous mathematical analysis.     

A new method for preparation of an antiserum to penicillin and its application for novel enzyme immunoassay of penicillin.

A new method for the preparation of ampicillin-BSA conjugate by a three step procedure was developed. The first step is the introduction of a maleimide residue to ampicillin by a cross-linking reagent, MBS. The second step is reductive cleavage of disulfide bonds in BSA. The third step is thioether formation between the introduced maleimide residues and the reduced thiol groups. The obtained ampicillin-BSA conjugated raised an anti-ampicillin serum in rabbits. A new reagent, MPGS, was used for enzyme labelling of ampicillin to avoid immunological cross reaction. Using the enzyme labelled ampicillin and anti-ampicillin serum, enzyme immunoassay of ampicillin was successful in detecting 4 ng to 1 mug. Cross reactivities of anti-ampicillin to ampicillin analogs were studied by the enzyme immunoassay to find that the antiserum is specific to penicillin especially to ampicillin but hardly reacts with cephalosporins or the penicilloic acid derivative of ampicillin.     

Reverse direction substrate kinetics and inhibition studies on the first enzyme of histidine biosynthesis, adenosine triphosphate phosphoribosyltransferase.

Initial velocity steady-state substrate kinetics for ATP phosphoribosyltransferase were determined in the direction reverse to the biosynthetic reaction and are consistent with a sequential kinetic mechanism. Histidine inhibited the reverse reaction cooperatively and completely. Product and alternate product inhibition studies were conducted to elucidate binding order. The alternate product β,γ-methylene ATP was competitive with respect to N¹-phosphoribosyl-ATP and noncompetitive with respect to pyrophosphate. Phosphoribosylpyrophosphate was noncompetitive with respect to both substrates. These data and those of the biosynthetic direction reaction are in satisfactory quantitative agreement with the ordered Bi-Bi kinetic mechanism with ATP or phosphoribosyl-ATP binding to free enzyme.     

Generalization of monod kinetics for analysis of growth data with substrate inhibition

The inhibitory effect of butanol on yeast growth has been studied for the strain Candida utilis ATCC 8205 growing aerobically on butanol under batch conditions. A mathematical expression was then proposed to fit the kinetic pattern of butanol inhibition on the specific growth rate: \documentclass{article}\pagestyle{empty}\begin{document}$$ \mu = \frac{{\mu _m S}}{{K_s + S}}\left[{1 - \frac{S}{{S_m }}} \right];n $$\end{document}The maximum allowable butanol concentration above which cells do not grow was predicted to be 9.16g/L. The proposed model appears to accurately represent the experimental data obtained in this study and the literature data developed for a variety of batch culture systems at widely ranging substrate concentrations.     

Biosynthetic direction substrate kinetics and product inhibition studies on the first enzyme of histidine biosynthesis, adenosine triphosphate phosphoribosyltransferase.

Initial velocity steady-state substrate kinetics for the ATP phosphoribosyltransferase reaction in the biosynthetic direction were determined and are consistent with a sequential kinetic mechanism. To hold the fractions of magnesium-complexed substrates and products constant so as to avoid possible distortion of reciprocal velocity plots Mg²⁺ binding constants to the substrates ATP and phosphoribosylpyrophosphate and the product pyrophosphate were measured under assay conditions. Several conformational states of the phosphoribosyltransferase distinguishable by other criteria gave similar substrate kinetic behavior. Product inhibition studies were conducted to elucidate the binding order. Phosphoribosyl-ATP was competitive with respect to ATP and was non-competitive with respect to phosphoribosylpyrophosphate. Pyrophosphate was non-competitive with respect to both substrates. The data are consistent with the ordered Bi-Bi kinetic mechanism with ATP binding first to free enzyme and phosphoribosyl-ATP dissociating last from enzyme-product complexes.     

A capillary electrophoresis-based enzyme assay for kinetics and inhibition studies of carbonic anhydrase

In the current study, capillary electrophoresis (CE)-based enzyme assay for characterization and inhibition study of bovine carbonic anhydrase II (bCA II) was developed. The developed method is the first CE assay for carbonic anhydrase (CA). The method was optimized in order to get short analysis time, minimal sample volume consumption, and high resolution of substrate and product. The CE conditions were optimized as follows: fused-silica capillary (30 cm effective length × 75 μm i.d.), pressure injection for 5 s, 20 mM sodium borate buffer (pH 9.0), constant voltage of 15 kV, constant capillary temperature of 25 °C, and detection at 260 nm. For precise measurements, uridine was used as an internal standard during optimization of the CE methods. The limits of detection and quantification for p-nitrophenyl acetate (p-NPA) were 3.01 and 9.12 μM, respectively, whereas for p-nitrophenolate they were 2.05 and 6.22 μM, respectively. The performance of the developed method was confirmed by determination of kinetic parameters (i.e., K_m and V_max of bCA for p-NPA); the inhibition constant (K_i) was determined for furosemide, a standard inhibitor of CA. The new method proved to be fast and efficient, and it can be used for the investigation of inhibitors of all isoforms of CAs.     

A spectrophotometric determination of sulfate ion and its application in studies of substrate purity and of aryl sulfatase A kinetics.

A modification of the method of hydroxyproline determination in proteins was devised. The modification consists of the hydrolysis of proteins in 72% perchloric acid of 100°C for 2 hr instead of 20 hr, autoclaving in 6 n HCl or 2 n Ba(OH)₂. Determination of hydroxyproline by the modified method does not require any additional chromatographic purification, standardizes conditions of the assay, and increases the yield in a number of routine assays.