alpha-Chymotrypsin in plastein synthesis: influence of substrate concentration on enzyme activity.

The role of alpha-chymotrypsin in the plastein reaction was studied using a peptic hydrolysate of albumin as substrate. Study of this reaction simultaneously by different methods showed that the plastein reaction is enzyme catalyzed and is highly dependent on environmental conditions. A gel permeation chromatography study of the plastein reaction showed simultaneous increases in the high- and low-molecular-weight oligopeptide fractions; a transpeptidation mechanism may be involved in the reaction. A study of the effect of substrate concentration on the plastein reaction catalyzed by alpha-chymotrypsin showed a profile with both hydrolytic and synthetic activities. This effect was also observed when the reaction course was followed by quantification of the free amino groups at different substrate concentrations, showing that a condensation mechanism is responsible for the synthetic activity when the substrate concentration is very high. These results have led us to conclude that the plastein reaction involves a transpeptidation and/or condensation mechanism, which is a function of the substrate concentration.     

Analytic solution to steady-state radial diffusion of a substrate with first-order reaction kinetics in the tissue of a Krogh's cylinder

It is often useful to calculate the concentration profile for a substrate undergoing reaction in the tissue surrounding a capillary. In this paper, we consider a model geometry consisting of a long straight cylinder of tissue surrounding a capillary. Substrate diffuses radially out of the capillary through the tissue, with consumption of substrate in the tissue directly proportional to substrate concentration (i.e., first-order reaction kinetics). The model is extended to include the case where a cylinder of necrotic tissue surrounds a metabolically active inner tissue cylinder. A simple analytic solution is derived, and concentration profiles are generated for various combinations of parameters. Compared to the case where substrate consumption is independent of concentration, this model predicts much more rapid depletion of substrate near the capillary interface. This can have significant implications for the calculation of the hypoxic fraction (e.g., tissue with pO(2)<0.5-5 mmHg) when tumor oxygenation is modeled. The model also permits calculation of the limiting substrate concentration for cell viability when the reaction rate constant is known and vice versa.     

Properties of renin substrate in rabbit plasma with a note on its assay

1. Rabbit plasma enzymes that degrade angiotensin I are inhibited completely by the combination of 2,3-dimercaptopropan-1-ol (10mm), EDTA (10mm) and chlorhexidine gluconate (0.005%, w/v). These compounds do not modify the reaction of renin with renin substrate and are termed the selective inhibitors. 2. The renin substrate concentration of plasma can be measured as angiotensin I content by incubating plasma plus the selective inhibitors with renin for a time sufficient to allow complete utilization of renin substrate. 3. This reaction obeys first-order kinetics to substrate concentrations of at least 1000ng. of angiotensin I content/ml. In general, the renin substrate concentrations of normal rabbit plasmas are less than 1000ng. of angiotensin I content/ml. Thus the time required for the complete release of angiotensin I from normal plasma is inversely related to renin activity and is independent of renin substrate concentration. 4. A method for the assay of renin substrate, taking these reaction kinetics into account, is presented.     

Modelling and optimisation of enzymatic separating micro-reactor

A mathematical model of an enzymatic separating microreactor with the electro-osmotic control of reaction component transport rates is analysed. The micro-reactor is considered in a form of a thin channel filled with a gel containing an immobilised enzyme and an adsorbent where the enzyme reaction, the molecular diffusion, the electro-osmotic flux and the adsorption take place. The substrate inhibited enzyme reaction splitting a non-ionic substrate to two non-ionic products is considered. The reactor operates in a periodic regime, when the channel entry is exposed to the periodic substrate concentration pulses. A chromatographic separation of reaction components, therefore, proceeds in the channel. Effects of principal operational parameters of the reactor system—the reaction channel length, the electric current density, the substrate inlet concentration, the rate of adsorption, and the enzyme activity—on resolution of the products at reactor outlet are analysed. The existence of optimum parameter values (maximising the resolution of reaction products) is shown and a multiparametric optimisation of the reactor performance is accomplished.     

Automated kinetic analysis of pyruvate kinase

An apparatus for the automatic determination of enzyme kinetics of pyruvate kinase is described. A continuous plit of velocity versus substrate concentration is obtained using quantities of enzyme and substrates comparable to manual determinations. The automated procedure offers a number of advantages over manual methods including elimination of repetitive pipetting, simpler reaction temperature regulation, reduced analysis time, and possible on-line computer analysis. The apparatus utilizes a commercially available column uv flow monitor to measure NADH/NAD changes in the coupled lactic dehydrogenase reaction at 340 nm in a continuous flow system. The optical density changes are directly related to the velocity of the enzyme-catalyzed reaction. A linear substrate gradient is generated from a density gradient maker to provide the required relationship between velocity and substrate concentration. The system is calibrated by forming a gradient from a hemoglobin solution of known concentration. The procedure has been evaluated by determination of the kinetic parameters of three of the isozymes of pyruvate kinase. Values obtained by the continuous flow method are in close agreement with those obtained by individual point determination in a recording spectrophotometer.     

A graphical method for determining inhibition parameters for partial and complete inhibitors.

A new simple graphical method is described for the determination of inhibition type and kinetic parameters of an enzyme reaction without any replot. The method consists of plotting experimental data as v/(vo--v) versus the reciprocal of the inhibitor concentration at different substrate concentrations, where v and vo represent the velocity in the presence and in the absence of the inhibitor respectively with a given concentration of the substrate. Partial inhibition gives straight lines that converge on the abscissa at a point away from the origin, whereas complete inhibition gives lines that go through the origin. The inhibition constants of enzymes and the reaction rate constant of the enzyme-substrate-inhibitor complex can be calculated from the abscissa and ordinate intercepts of the plot. The relationship between the slope of the plot and the substrate concentration shows characteristic features depending on the inhibition type: for partial competitive inhibition, the straight line converging on the abscissa at--Ks, the dissociation constant of the enzyme-substrate complex; for non-competitive inhibition, a constant slope independent of the substrate concentration; for uncompetitive inhibition, a hyperbola decreasing with the increase in the substrate concentration; for mixed-type inhibition, a hyperbola increasing with the increase in the substrate concentration. The properties of the replot are useful in confirmation of the inhibition mechanism.     

Analysis of conversion and operation strategies for enzymatic hydrolysis of lignocellulosic biomass in a series of CSTRs with distributed feeding

Design considerations for enzymatic hydrolysis of lignocellulosic biomass in two and three continuous stirred tank reactors (CSTRs) in series with distributed feeding of substrate and enzyme, followed by a series of CSTRs, are discussed. A previously developed, fitted, and validated kinetic model is extended to accommodate distributed feeding and used along with the micromixing limiting situations of macrofluid and microfluid to describe the reaction system. The capabilities of the reaction system proposed are explored for a range of cumulative substrate concentration from 5 to 20% w/w (dry basis). Continuous distributed feeding does not show advantages in terms of cellulose conversion when compared with the operation where an equivalent mass of substrate is added at the first reactor of the series, but the potential to increase substrate concentration beyond the concentrations that can be handled in conventional CSTRs, and therefore, the volumetric productivity of reactors, is evident.     

A semi-integrated method for the determination of enzyme kinetic parameters and graphical representation of the Michaelis-Menten equation

A semi-integrated method for the determination of the enzyme kinetics parameters (Km and V) and graphical representation of the Michaelis-Menten equation is proposed as a variation of determination of initial reaction rate (v) as a function of initial substrate concentration ([S]0). The method is based on the determination of the time required to exhaust half of the initial substrate concentration as a function of the initial substrate concentration. The advantages and limitations of this method are discussed.     

Substrate inhibition kinetics in assemblages of cells.

The collective kinetic behavior of a linear array of cells containing a substrate inhibited enzyme is studied with a model in which each cell is considered a well-stirred compartment surrounded by a semipermeable membrane. At large values of a reaction-permeation modulus, wherein substrate access to interior cells is limited, plots of total reaction rate versus concentration of the external reservoir show sharp projections which correspond to dominant reaction occurring in a pair of symmetrically placed cells. Over prescribed ranges of reservoir concentration, multiple stable steady states can occur, some of which are characterized by asymmetric profiles of concentration and reaction rate across the array. A simple stability criterion is proposed and applied to arrays with arbitrary numbers of cells.     

Steady-state kinetic analysis for the reaction of ammonium and alkylammonium ions with methylamine dehydrogenase from bacterium W3A1

The steady-state kinetic mechanism for the reaction of n-alkylamines and phenazine ethosulfate (PES) or phenazine methosulfate (PMS) with methylamine dehydrogenase from bacterium W3A1 is found to be of the ping-pong type. This conclusion is based on the observations that 1/v versus 1/[methylamine] or 1/[butylamine] plots, at various constant concentrations of an oxidizing substrate, and 1/v versus 1/[PES] or 1/[PMS] plots, at various constant concentrations of a reducing substrate, are parallel. Additionally, the values of kcat/Km for four n-alkylamines are identical when PES is the oxidizing substrate, as were the kcat/Km values for four reoxidizing substrates when methylamine was the reducing substrate. Last, analysis of steady-state kinetic data obtained when methylamine and propylamine are presented to the enzyme simultaneously and PES and PMS are used simultaneously also supports the involvement of a ping-pong mechanism. The enzymic reaction with either methylamine or PES is dependent on the ionic strength, and the data indicate that each interacts with an anionic site on methylamine dehydrogenase. The presence of ammonium ion at low concentration activates the enzyme, but at high concentration this ion is a competitive inhibitor in the reaction involving methylamine and the enzyme. A complete steady-state mechanism describing these ammonia effects is presented and is discussed in light of the nature of the pyrroloquinoline quinone cofactor covalently bound to the enzyme.     

Influence of substrate and product diffusion on the heterogeneous kinetics of enzymic reversible reactions

When a reversible reaction is catalyzed by a surface bound enzyme, the diffusion of both substrate and product can considerably modify the kinetic properties of the reaction. According to this theoretical analysis, the enzyme activity is decreased due to the presence of substrate and product concentration gradients in the enzyme microenvironment, and the relative kinetic importance of the two diffusion steps mainly depend on the value of a dimensionless criterion inversely proportional to the equilibrium constant. Moreover diffusional effects increase with increasing bound enzyme activity, but decrease with increasing substrate and product concentration. Analytical expressions are established for the limiting values of substrate and product concentrations in the enzyme microenvironment, as well as for the increase in half-maximal-activity substrate concentration in the presence of substrate and product diffusional limitations.     

External and internal diffusion in heterogeneous enzymes systems

The intrusion of diffusion in heterogeneous enzyme reactions, which follow. Michaelis-Menten kinetics, is quantitatively characterized by dimensionless parameters that are independent of the substrate concentration. The effects of these parameters on the overall rate of reaction is illustrated on plots commonly employed in enzyme kinetics. The departure from Michaelis-Menten kinetics due to diffusion limitations can be best assessed by using Hofstee plots which are also suitable to distinguish between internal and external transport effects. A graphical method is described for the evaluation of the reaction rate as a function of the surface concentration of the substrate from measured data.     

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.     

Validity of quasi-steady-state and transfer-function representations for input-output relation in a Michaelis-Menten reaction

In relation to the input-output characteristics of enzymatic reactions in the cellular metabolism and biochemical reactors, the validity of the quasi-steady-state and transfer-function representations of reaction velocity has been examined for a basic Michaelis-Menten reaction employing computer simulation, that is, numerical integration of the rate equation. The well-known S-v relationship (relationship between substrate concentration and reaction velocity)derived on the quasi-steady-state assumption is found to be in general a good approximation to the actual velocity throughout the temporal progress of the reaction. The validity of the approximation depends on a ratio of the Michaelis constant to the total enzyme concentration in the reaction system rather than on the individual rate constants. A transfer-function representation is derived on assuming an exponential change in the reaction velocity for the indicial response to the substrate influx rate. The representation has a wider valid region with a decrease in influx rate than with an increase in the influx rate. The validity is most dependent on a ratio of total enzyme concentration to the steady-state concentration of the substrate. The analysis of the linear sensitivity of the reaction velocity to rate constants reveals that the characteristics of these valid representations in systems analysis change according to the phase of the reaction.     

Kinetics and activation thermodynamics of methane monooxygenase compound Q formation and reaction with substrates

The transient kinetics of formation and decay of the reaction cycle intermediates of the Methylosinus trichosporium OB3b methane monooxygenase (MMO) catalytic cycle are studied as a function of temperature and substrate type and deuteration. Kinetic evidence is presented for the existence of three intermediates termed compounds O, P, and P forming after the addition of O(2) to diferrous MMO hydroxylase (H(r)) and before the formation of the reactive intermediate compound Q. The Arrhenius plots for these reactions are linear and independent of substrate concentration and type, showing that substrate does not participate directly in the oxygen activation phase of the catalytic cycle. Analysis of the transient kinetic data revealed only small changes relative to the weak optical spectrum of H(r) for any of these intermediates. In contrast, large changes in the 430 nm spectral region are associated with the formation of Q. The decay reaction of Q exhibits an apparent first-order concentration dependence for all substrates tested, and the observed rate constant depends on the substrate type. The kinetics of the decay reaction of Q yield a nonlinear Arrhenius plot when methane is the substrate, and the rates in both segments of the plot increase linearly with methane concentration. Together these observations suggest that at least two reactions with a methane concentration dependence, and perhaps two methane molecules, are involved in the decay process. When CD(4) is used as the substrate, a large isotope effect and a linear Arrhenius plot are observed. Analogous plots for all other MMO substrates tested (e.g., ethane) are linear, and no isotope effect for deuterated analogues is observed. This demonstrates that a step other than C-H bond breaking is rate limiting for alternative MMO substrates. A two step Q decay mechanism is proposed that provides an explanation for the lack of an isotope effect for alternative MMO substrates and the fact that rate of oxidation of methane by Q exceeds that of many other hydrocarbons with weaker C-H bonds.     

Some characteristics of the kinetics of enzymatic reactions based on the example of catalase]

A method of kinetic analysis for quickly acting enzymes, which are characterized with substrate inhibition, on the catalase model is proposed. Catalase kinetics was shown to be full described, considering changes in the maximal reaction rate and Michaelis constant, by four parameters instead of two usual ones (Vmax, Km equals const.). The method described makes possible to calculate the change the Michaelis constant in time and to estimate real dependencies of the reaction rate on time and on the substrate concentration. Moreover, the enzyme concentration and its inactivation rate at any reaction moment can be calculated under saturation conditions. It is supposed that experimental dependencies of Km on t and of Vmax on t are the results of residual conformation changes accumulated by the enzyme in the reaction process.     

Interaction of beef liver lipase with mixed micelles of tripalmitin and Triton X-100

When concentrated dispersions of tripalmitin in Triton X-100 are added to reaction mixtures containing soluble beef liver lipase, the rate of hydrolysis of tripalmitin increases with incubation time. When the diluted substrate is aged at 37 degrees C for 3 hr before the addition of enzyme, the rate of hydrolysis is greater than the rate with freshly diluted dispersions and is constant for at least 2 hr. The reciprocal of the rate of hydrolysis is a complex function of the reciprocal of the substrate concentration when measured with freshly diluted substrate dispersions. A linear relationship between these reciprocals is obtained when measured with aged preparations of substrate. The rate and extent of increase of the velocity of hydrolysis of the aged substrate in relation to the velocity of hydrolysis of freshly diluted substrate are directly proportional to the substrate concentration and inversely proportional to the Triton X-100 concentration. The apparent V(max) of beef liver lipase for tripalmitin in diluted and aged dispersions is independent of the Triton X-100 concentration, while the apparent K(m) is inversely proportional to the Triton X-100 concentration. The apparent K(m) for tripalmitin complexes at zero Triton X-100 concentration was judged to be 7.5 x 10(-5) m. The molecular size of dispersion complexes does not change significantly as dispersions are aged. The spherical diameter of the complexes assessed by gel filtration techniques is in the order of 100 A.     

微球载体固定化纤维素酶的反应动力学模型研究

建立了固定化纤维素酶的反应动力学模型,该模型以米氏方程为基础并考虑了产物竞争性抑制的影响。在此模型的基础上进行模拟,系统研究了产物竞争性抑制、内扩散限制、溶液中的宏观底物浓度、载体大小等因素对球形载体内部的底物、产物浓度分布和效率因子的影响。产物竞争性抑制的存在将增加载体颗粒内的底物浓度,对效率因子的影响较小。底物内扩散系数或者反应体系中底物浓度增大时,载体颗粒内的底物浓度和效率因子都将增大。载体粒径增大,载体颗粒内的底物浓度和效率因子均减小。     

A new substrate for the measurement of N-acetyltransferase activity

A sensitive colorimetric method for the measurement of N-acetyltransferase (NAT) is described. It is based on the high rate of acetylation of 2-(p-aminobenzamido)pyridine by the liver enzyme and the lack of it by the blood NAT. A linear relationship was found between enzyme concentration and reaction rate. The reaction rate was also proportional to the substrate concentration. Inhibition of the reaction was observed at high substrate concentrations. The NAT levels in the liver and kidney of rat, rabbit, mouse and man were measured using this procedure. The tissues of dog failed to acetylate this substrate. The method is applicable to kinetic studies such as the analysis of inhibition reactions with o-phenanthroline and p-chloromercuribenzoate.     

Monolayers of long chain lecithins at the air/water interface and their hydrolysis by phospholipase A2

The behavior of phosphatidylcholine monolayers at the air/water interface was studied by measuring their surface isotherm, surface potential, surface viscosity, and rate of hydrolysis by the dimeric phospholipase A2 from the venom of Crotalus atrox. The monolayers showed typical liquid-expanded behavior. In this phase, the surface potential was linearly dependent on surface concentration and extrapolated at zero concentration to a value characteristic of a liquid hydrocarbon/water interface. The rate of the reaction was measured by monitoring changes in area at constant surface pressure for 1,2-dioctanoyl- and 1,2-didecanoyl-3-sn-phosphatidylcholines, and by monitoring changes in surface potential for 1,2-dimyristoyl-, 1,2-dipalmitoyl-, 1-palmitoyl-2-oleoyl-, and 1-oleoyl-2-palmitoyl-sn-glycero-3-phosphocholines. The enzymatic hydrolysis is first order with respect to the enzyme-calcium complex which forms with a Kd = 1.5 mM. A mechanism is proposed to account for the dependency of the reaction rates on the surface concentration of the substrate. We postulate that the rate-limiting step is the decomposition of a quaternary complex formed from two phospholipid molecules, one calcium ion and one dimeric enzyme. The rate is independent of the surface pressure per se; addition of inert lipids to a monolayer at constant area, and hence constant surface concentration of the substrate, increases the surface pressure without changing the surface density of the substrate yielding maximal enzymatic rate. The enzyme is specific for loosely packed substrate molecules in the liquid-expanded state: transition into the liquid-condensed state or compression of the liquid-expanded layer beyond 80 A2/phospholipid strongly inhibits the enzymatic reaction. Our results show that surface recognition is a direct consequence of a bifunctional active site since it is only at a phospholipid surface that the distance between two substrate molecules is optimal for forming a catalytically competent enzyme-Ca2+-(substrate)2 complex.