Application of the enzyme thermistor to the direct estimation of intrinsic kinetics using the saccharose-immobilized invertase system.

The possibility of using the enzyme thermistor (ET) for the direct determination of kinetic parameters (Km, Ki, Vm) of immobilized enzyme (IME) was evaluated using different preparations of invertase conjugated to bead celluloses. Two different ET columns packed with IME were operated in the mode of a differential enzyme reactor (short length, low substrate conversion). Kinetic parameters of the above IME reactor were computed by a nonlinear curve-fitting procedure. The obtained kinetic parameters were superverified by means of an independent differential reactor (DR) system. This system utilized an indirect postcolumn analytical method based on determination of glucose concentration in the stirred reservoir. Best agreement between the data acquired by direct (ET) and indirect (DR) methods was obtained if the ET column was operated at flow rates within the range of 1.0-1.5 ml min-1 using invertase-cellulose chlorotriazine conjugate. Influence of heat loss and flow nonideality is discussed. The proposed ET method offers a rapid, convenient, and general approach to determination of kinetic constants of IME preparations by omitting postcolumn analytical methods.     

Analysis of the transient response of a CSTR containing immobilized enzyme particles: Part II. Minimum existence criterion and determination of substrate effective diffusivity and main reaction rate constant

A minimum existence criterion in the transient response of the bulk substrate concentration in a CSTR containing immobilized enzyme (IMEs) in porous solid supports has been obtained from simulation results using several kinetic expressions for the main reaction and the enzyme deactivation reaction. A simple method for the determination of the substrate effective diffusivity and the reaction rate constant is also presented, and applied to the decomposition of hydrogen peroxide, that reacts in a CSTR that contains silica–alumina porous catalyst particles, in which horseradish peroxidase enzyme had been previously immobilized.     

Comparison of substrate utilization and growth kinetics between immobilized and suspended Pseudomonas cells

A methodology is described for measurement if immobilized and suspended cell growth and substrate utilization kinetics parameters. Substrate utilization and growth kinetics were compared between immobilized and suspended cells for toluene degrading Pseudomonas strains K3-2 and 2,4-dichlorophenoxyacetic acid (2,4-D) degrading strain DBO131(pR0101), respectively. Kinetic parameters were estimated using nonlinear parameter estimation methods and compared between the immobilized and suspended Pseudomonas cells to determine the effect of immobilization on cellular growth and substrate utilization. Factors influencing the experimental design included calculated oxygen flux rates, primary carbon substrate flux rates, and shear stresses on the immobilize cell. Statistical interpretation of the cellular reaction rate parameters indicates that only the growth kinetics of the toluene system were significantly altered upon immobilization. Substrate utilization kinetics remained unchanged upon immobilization. The substrate growth associated half-saturation constant (K(g)) for the toluene system increased by 30-fold and the maximum specific growth rate (mu(max)) decreased by 2-fold upon immobilization. Implication of these results for experimental determination of cellular kinetic parameters and for immobilization cell bioreactors design are discussed. (c) 1993 John Wiley & Sons, Inc.     

Facilitated diffusion with consecutive reaction: optimal carrier affinity

The interplay between facilitated diffusion of a substrate through a membrane and a consecutive enzymic reaction, both of which follow Michaelis-Menten kinetics, has been theoretically investigated and the effect of the kinetic and transport parameters on the rate of substrate uptake is graphically illustrated. At steady state two characteristic features of the system have been identified. First, the substrate concentration at the internal enzymic side of the membrane cannot exceed a given value even at much higher external substrate concentrations. Second, the uptake rate is maximum at a given value of K_T, the kinetic parameter of the transport system that expresses the reciprocal carrier affinity of the substrate. The optimum value of K_T is approximately equal to the external substrate concentration. This particular dependence of the uptake rate on the carrier affinity is expected to play an important role in hormonal regulation.     

Analysis of the transient response of a CSTR containing immobilized enzyme particles: Part I. Model development and analysis of the influence of operating conditions and process parameters

The transient response of the bulk substrate concentration in a CSTR containing immobilized enzyme (IMEs) in porous solid supports and the possibilities of exploiting the minimum behavior for parameter estimation purposes are studied in this work. For that purpose, mathematical models have been developed for several kinetic expressions with parallel deactivation mechanisms and for two different particle shapes (cylindrical and spherical). The influence of a number of system variables and non-dimensional parameters, i.e., pellet radius, mass of particles, flow rate, effective diffusivity, mass transfer coefficient, Thiele modulus, Michaelis constant, and enzyme deactivation constant, is also reported in a systematic way. Simulations, using realistic data, show that the minimum bulk substrate concentration is sufficiently pronounced and the time scale for the minimum to occur is sufficiently practical, so that it can be used to extract several parameters of the immobilized enzyme system.     

Activity of mushroom polyphenol oxidase in organic medium

A kinetic study of the activity of mushroom polyphenol oxidase in an organic system was carried out to obtain detailed enzyme kinetic data in relation to optimization of reaction conditions and substrate specificity. A simple method for consistent measurement of reaction rates in the heterogeneous enzyme/organic solvent system (consisting of immobilized polyphenol oxidase and a hydrated solution of the substrate in chloroform) was designed. The aqueous content of the system was optimized using p-cresol as the substrate. With this system, a crude extract of Agaricus bisporus was used to hydroxylate and oxidize a range of selected p-substituted phenolic substrates, yielding o-quinone products. Michaelis-Menten kinetics were used to obtain apparent K(M) and V(max) values with respect to each of these substrates. Results from this analysis indicated a correlation between the enzymic kinetic parameters obtained and the steric requirements of the substrates, which could be rationalized in terms of the restricted flexibility of the enzyme when it is in chloroform and also in terms of substrate and solvent hydrophobicity. In the course of the investigation UV molar absorption coefficients of several o-quinones were measured by a novel method: (1)H nuclear magnetic resonance (NMR) spectroscopy was employed to determine component concentrations in reaction mixtures resulting from the transformation of phenols by polyphenol oxidase in chloroform. Thus the UV molar absorption coefficients could be obtained directly, avoiding the necessity to isolate the water-sensitive, unstable o-quinones. (c) 1993 John Wiley & Sons, Inc.     

Kinetic characteristics of biochemical cyclic reaction systems: Amplification of substrate cycle system

The amplification of a substrate cycle system with reversible closed reaction of two substrates was represented by mathematical equations. The results are summarized as follows: the amplification was affected especially by the affinity of enzyme and substrate, by the rate constant in rate-limiting reaction step, and by the saturation degree of enzyme by substrate. These amplifications were not simply determined by the values of K(m) and V(max), because each rate parameter in the system can affect the degree of amplification independently. The conclusion is that the "apparent" equilibrium constant of this system cannot be uniquely estimated from only data of K(m) and V(max) even if the reaction occurs in a closed system.     

Gated and ungated electron transfer reactions from aromatic amine dehydrogenase to azurin.

Interprotein electron transfer (ET) occurs between the tryptophan tryptophylquinone (TTQ) prosthetic group of aromatic amine dehydrogenase (AADH) and copper of azurin. The ET reactions from two chemically distinct reduced forms of TTQ were studied: an O-quinol form that was generated by reduction by dithionite, and an N-quinol form that was generated by reduction by substrate. It was previously shown that on reduction by substrate, an amino group displaces a carbonyl oxygen on TTQ, and that this significantly alters the rate of its oxidation by azurin (Hyun, Y-L., and Davidson V. L. (1995) Biochemistry 34, 12249-12254). To determine the basis for this change in reactivity, comparative kinetic and thermodynamic analyses of the ET reactions from the O-quinol and N-quinol forms of TTQ in AADH to the copper of azurin were performed. The reaction of the O-quinol exhibited values of electronic coupling (H(AB)) of 0.13 cm(-1) and reorganizational energy (lambda) of 1.6 eV, and predicted an ET distance of approximately 15 A. These results are consistent with the ET event being the rate-determining step for the redox reaction. Analysis of the reaction of the N-quinol by Marcus theory yielded an H(AB) which exceeded the nonadiabatic limit and predicted a negative ET distance. These results are diagnostic of a gated ET reaction. Solvent deuterium kinetic isotope effects of 1.5 and 3.2 were obtained, respectively, for the ET reactions from O-quinol and N-quinol AADH indicating that transfer of an exchangeable proton was involved in the rate-limiting reaction step which gates ET from the N-quinol, but not the O-quinol. These results are compared with those for the ET reactions from another TTQ enzyme, methylamine dehydrogenase, to amicyanin. The mechanism by which the ET reaction of the N-quinol is gated is also related to mechanisms of other gated interprotein ET reactions.     

Regulation of enzyme activity in adsorptive enzyme systems

The kinetic behaviour of adsorptive enzyme systems with free and adsorbed enzyme forms in rapid equilibrium has been analysed. It has been shown that the dependences of enzymic reaction rate on substrate or “adsorptive effector” concentrations reveal the deviations from simple kinetic laws of Michaelis-Menten type (positive or negative kinetic co-operativity). Such kinetic anomalies should be observed when adsorption of the enzyme results in the changing catalytic properties and when the state of the equilibrium between free and bound enzyme forms depends on the presence of low molecular substances (substrates, coenzymes and various cellular metabolites). The physiological significance of adsorption-desorption processes for the enzyme activity regulation has been emphasized.     

The determination of specificity constants in enzyme-catalysed reactions.

A convenient and accurate procedure for determining the kinetic parameter Vmax./Km is described. This avoids the error in the usual method of taking the observed first-order rate constant of an enzymic reaction at low substrate concentration as Vmax./Km. A series of reactions is used in which the initial concentration of substrate is below Km (e.g. from 5% to 50% of Km). Measurements are taken over the same extent of reaction (e.g. 70%) for each member of the series, and treated as if the kinetics were truly first-order. The reciprocal of the observed first-order rate constant is then plotted against the initial concentration of substrate: the reciprocal of the ordinate intercept is Vmax./Km. The procedure, as well as being applicable to simple reactions, is shown to be valid when there is competitive inhibition by the product, or when the reaction is reversible, or when there is competitive or mixed inhibition. The hydrolysis of cephalosporin C by a beta-lactamase from Pseudomonas aeruginosa is used to illustrate the method.     

A theoretical treatment of damped oscillations in the transient state kinetics of single-enzyme reactions

An extension of the available kinetic theory for reactions in the transient state is presented which establishes that single-enzyme reactions may exhibit damped oscillations under the conditions of standard kinetic experiments performed by stopped-flow techniques. Such oscillations may occur for reasonable magnitudes of rate constants in the enzymic reaction mechanism and at physiological concentrations of enzyme and substrate. In the simplest reaction systems, the oscillations will be strongly damped and lead to progress curves resembling those of a reaction governed by standard exponential transients; statistical regression methods may then have to be applied for their detection and characterization. The observation that single-enzyme reactions may exhibit oscillatory behaviour points to a previously unrecognized possible source of the damped oscillations observed in metabolic systems such as the pathways of glycolysis or photosynthesis.     

Perturbations in the sof the double layer at an enzymic surface

The surfaces of cells are both charged and enzymically active; furthermore, mass transfer across the surface is occurring constantly. These dynamic processes are capable of perturbing the equilibrium double layer that would be present in the absence of mass transfer and reactions. This paper investigates the influence of enzymic surface reactions on the structure of the diffuse double layer, and conversely the influence of potential on concentration profiles and reaction rates. It is shown that (1) mobility differences in substrate and product can lead to more or less extended double layers and to extrema in the potential profile depending on kinetic factors such as reaction rate and ion mobility of substrate and product and (2) surface reactions can act as a surface concentration switch or amplifier wherein comparatively small variations in bulk concentration produce large variations in surface concentration. Deviations from equilibrium potentials are described by a dimensionless parameter involving reaction rate, ionic strength and the substrate-product mobility difference. Deviations from equilibrium concentrations are described by two electrostatic reaction-diffusion moduli. One of these expresses the effect of differing ion mobilities between substrate and product. Depending on the sign of this parameter, the surface substrate concentration may be either displaced above or below the case (usually hypothetical) of equal ion mobilities. The physiological significance of a reaction or mass flow perturbed surface potential is discussed.     

Kinetic behaviour of free lipase and mica-based immobilized lipase catalyzing the synthesis of sugar esters

The utilization of natural mica as a biocatalyst support in kinetic investigations is first described in this study. The formation of lactose caprate from lactose sugar and capric acid, using free lipase (free-CRL) and lipase immobilized on nanoporous mica (NER-CRL) as a biocatalyst, was evaluated through a kinetic study. The apparent kinetic parameters, K(m) and V(max), were determined by means of the Michaelis-Menten kinetic model. The Ping-Pong Bi-Bi mechanism with single substrate inhibition was adopted as it best explains the experimental findings. The kinetic results show lower K(m) values with NER-CRL than with free-CRL, indicating the higher affinity of NER-CRL towards both substrates at the maximum reaction velocity (V(max,app)>V(max)). The kinetic parameters deduced from this model were used to simulate reaction rate data which were in close agreement with the experimental values.     

Substrate inhibition during bio-filtration of TCE using diazotrophic bacterial community

The kinetics of biodegradation of TCE in the biofilter packed with wood charcoal and inoculated with diazotrophic bacterial community had been investigated. Use of Michaelis-Menten type model showed that substrate inhibition was present in the system. The kinetic model proposed by Edwards (1970) was used to calculate kinetic parameters-maximum elimination capacity (EC(max)), substrate constant (K(s)), and inhibition constant (K(I)). The model fitted well with the experimental data and the EC(max) was found to be in the range of 10.8-6.1 g/m(3) h. The K(s) values depended upon substrate concentration and ranged from 0.024 to 0.043 g/m(3) indicating the high affinity of diazotrophs for TCE. The K(I) values were low and nearly constant (0.011-0.015 g/m(3)) indicating a moderate substrate inhibition.     

Characterization of trimethylamine-N-oxide (TMAO) demethylase activity from fish muscle microsomes

A crude microsomal fraction isolated from red hake (Urophycis chuss) muscle demethylated trimethylamine-N-oxide (TMAO). Two cofactor systems were capable of stimulating activity; the system of NADH and FMN required anaerobic conditions while the other system, composed of iron and cysteine and/or ascorbate functioned in the presence or absence of oxygen. The components of each cofactor system functioned synergistically and kinetic parameters were established for each. Of several amine compounds common to fish muscle, TMAO was the only substrate demethylated by the microsomes. Activity was inhibited by iodoacetamide, potassium cyanide, and sodium azide under certain conditions, but not by carbon monoxide. An enzymic nature of the reaction was demonstrated by the properties of heat lability, sensitivity to protease treatment, the requirement of microsomes for TMAO demethylation and by the exhibition of typical hyperbolic kinetics with respect to substrate (TMAO). Moreover, TMAO demethylation by the microsomes was 3 to 4 orders of magnitude faster than the non-enzymic reaction and the reaction was specific for dimethylamine (DMA) as product. It appears the two cofactor systems may share a common catalytic unit in the process of TMAO demethylation.     

A new rapid and simple method to determine the kinetics of electrode reactions of biologically relevant compounds from the half-peak width of the square-wave voltammograms

A new method is introduced to determine the kinetic parameters of electron transfer reactions of biologically important compounds, based on the measurements of the half-peak width (DeltaE(p/2)) of the square-wave voltammograms. A simple surface (diffusionless) redox reaction, and a simple electrode reaction occurring from dissolved state are considered as model systems. In the region of quasireversible electron transfer, the half-peak widths of theoretical square-wave voltammograms are linear functions of the logarithm of the dimensionless kinetic parameter ln(K) that characterizes the rate of the electron transfer reaction. The dimensionless kinetic parameter K is defined as K=k(s)(fD)(-0.5) for the redox reaction taking place from dissolved state, whereas for the surface redox reaction K is defined as K=k(s)/f (k(s) is the standard rate constant of electron transfer, f is the SW frequency, and D is the diffusion coefficient). A set of linear regression equations for the dependences DeltaE(p/2)vs. ln(K) are derived, which can be used for rapid and precise determination of the charge-transfer kinetic parameters. The estimated values for the standard rate constants of various biologically relevant redox systems using this approach are in very good agreement with the experimental values determined by other square-wave voltammetric methods. The square-wave voltammetric half-peak width method can be used as a simple and reliable alternative to other voltammetric methods developed for the kinetic characterization of electron transfer rates.     

Electrostatic role of the non-heme iron complex in bacterial photosynthetic reaction center

To elucidate the role of the non-heme iron complex (Fe-complex) in the electron transfer (ET) events of bacterial photosynthetic reaction centers (bRC), we calculated redox potentials of primary/secondary quinones Q(A/B) (E(m)(Q(A/B))) in the Fe-depleted bRC. Removing the Fe-complex, the calculated E(m)(Q(A/B)) are downshifted by approximately 220 mV/ approximately 80 mV explaining both the 15-fold decrease in ET rate from bacteriopheophytin (H(A)(-)) to Q(A) and triplet state occurrence in Fe-depleted bRC. The larger downshift in E(m)(Q(A)) relative to E(m)(Q(B)) increases the driving-energy for ET from Q(A) to Q(B) by 140 meV, in agreement with approximately 100 meV increase derived from kinetic studies.     

Screening for enzyme activity in turbid suspensions with scattered light

New screening techniques for improved enzyme variants in turbid media are urgently required in many industries such as the detergent and food industry. Here, a new method is presented to measure enzyme activity in different types of substrate suspensions. This method allows a semiquantitative determination of protease activity using native protein substrates. Unlike conventional techniques for measurement of enzyme activity, the BioLector technology enables online monitoring of scattered light intensity and fluorescence signals during the continuous shaking of samples in microtiter plates. The BioLector technique is hereby used to monitor the hydrolysis of an insoluble protein substrate by measuring the decrease of scattered light. The kinetic parameters for the enzyme reaction (V(max,app) and K(m,app)) are determined from the scattered light curves. Moreover, the influence of pH on the protease activity is investigated. The optimal pH value for protease activity was determined to be between pH 8 to 11 and the activities of five subtilisin serine proteases with variations in the amino acid sequence were compared. The presented method enables proteases from genetically modified strains to be easily characterized and compared. Moreover, this method can be applied to other enzyme systems that catalyze various reactions such as cellulose decomposition.     

Kinetic modeling of omega-transamination for enzymatic kinetic resolution of alpha-methylbenzylamine

A kinetic model for omega-transaminase from Bacillus thuringiensis JS64 was developed by using the King-Altman method to simulate the kinetic resolution of alpha-methylbenzylamine (alpha-MBA). Starting from a ping-pong bi-bi mechanism, a complete kinetic model including substrate inhibition only in the reverse reaction (i.e., transamination between acetophenone and L-alanine) was developed. The asymmetric synthesis of (S)-alpha-MBA proved to be difficult due to a much lower maximum reverse reaction rate than the maximum forward reaction rate, thermodynamically exergonic forward reaction (i.e., transamination between (S)-alpha-MBA and pyruvate), and the severe product and substrate inhibition of the reverse reaction. Experimental values for kinetic parameters show that the product inhibition constant of (S)-alpha-MBA is the most important parameter on determining the resolution reaction rate, suggesting that the resolution reaction rate will be very low unless (S)-alpha-MBA strongly inhibits the reverse reaction. Using the kinetic model, the kinetic resolution of alpha-MBA in aqueous buffer was simulated, and the simulation results showed a high degree of consistency with experimental data over a range of reaction conditions. Various simulation results suggest that the crucial bottleneck in the kinetic resolution of alpha-MBA lies mainly in the accumulation of acetophenone in reaction media as the reaction proceeds, whereas L-alanine exerts a little inhibitory effect on the reaction. The model predicts that removing acetophenone produced during the reaction can enhance the reaction rate dramatically. Indeed, the biphasic reaction system is capable of extracting acetophenone from the aqueous phase, showing a much higher reaction rate compared to a monophasic reaction system. The kinetic model was also useful in predicting the properties of other, better enzymes as well as the optimal concentrations of amino acceptor and enzyme in the resolution reaction.