Enzyme reactions initial rate

Enzyme Initial reaction rate, v (/iM/h/mg) imprinted/ non-imprinted... 

The initial reaction rate (v0) obtained from each substrate concentration was fitted to Michaelis-Menten kinetics using enzyme kinetics. Pro (EKP) Software (ChemSW product,... 

Substrate and product inhibitions analyses involved considerations of competitive, uncompetitive, non-competitive and mixed inhibition models. The kinetic studies of the enantiomeric hydrolysis reaction in the membrane reactor included inhibition effects by substrate (ibuprofen ester) and product (2-ethoxyethanol) while varying substrate concentration (5-50 mmol-I ). The initial reaction rate obtained from experimental data was used in the primary (Hanes-Woolf plot) and secondary plots (1/Vmax versus inhibitor concentration), which gave estimates of substrate inhibition (K[s) and product inhibition constants (A jp). The inhibitor constant (K[s or K[v) is a measure of enzyme-inhibitor affinity. It is the dissociation constant of the enzyme-inhibitor complex. 

The inhibition analyses were examined differently for free lipase in a batch and immobilised lipase in membrane reactor system. Figure 5.14 shows the kinetics plot for substrate inhibition of the free lipase in the batch system, where [5] is the concentration of (S)-ibuprofen ester in isooctane, and v0 is the initial reaction rate for (S)-ester conversion. The data for immobilised lipase are shown in Figure 5.15 that is, the kinetics plot for substrate inhibition for immobilised lipase in the EMR system. The Hanes-Woolf plots in both systems show similar trends for substrate inhibition. The graphical presentation of rate curves for immobilised lipase shows higher values compared with free enzymes. The value for the... 

Enzymes accelerate reaction rates by lowering the activation barrier AGp. While they may undergo transient modification during the process of catalysis, enzymes emerge unchanged at the completion of the reaction. The presence of an enzyme therefore has no effect on AG for the overall reaction, which is a function solely of the initial and final states of the reactants. Equation (25) shows the relationship between the equilibrium constant for a reaction and the standard free energy change for that reaction ... 

Pectolytic activity was also studied in batch reactors, following the reaction progress in thermostated quartz cuvettes. The reaction medium (3 cm ) was prepared with 1.5 g/L pectin in the standard buffer and 0.063 mg of enzyme. The absorbance of the reaction mixture against the substrate blank was continuously recorded at the spectrophotometer (Perkin Elmer Lambda 2, USA). Typical reaction time was 15 minutes, but initial reaction rates were estimated considering only the absorbances recorded during the first 200 seconds, range of totally linear response. 

The kinetic data below were reported for an enzyme catalyzed reaction of the type E + S ES E + P. Since the data pertain to initial reaction rates, the reverse reaction may be neglected. Use a graphical method to determine the Michaelis constant and Fmax for this system at the enzyme concentration employed. 

A plot of the initial reaction rate, v, as a function of the substrate concentration [S], shows a hyperbolic relationship (Figure 4). As the [S] becomes very large and the enzyme is saturated with the substrate, the reaction rate will not increase indefinitely but, for a fixed amount of [E], it reaches a plateau at a limiting value named the maximal velocity (vmax). This behavior can be explained using the equilibrium model of Michaelis-Menten (1913) or the steady-state model of Briggs and Haldane (1926). The first one is based on the assumption that the rate of breakdown of the ES complex to yield the product is much slower that the dissociation of ES. This means that k2 tj. 

In the presence of sucrose alone as the single substrate, initial reaction rates follow Michaelis-Menten kinetics up to 200 mM sucrose concentration, but the enzyme is inhibited by higher concentrations of substrate.30 The inhibitor constant for sucrose is 730 mM. This inhibition can be overcome by the addition of acceptors.31,32 The enzyme activity is significantly enhanced, and stabilized, by the presence of dextran, and by calcium ions. 

Hydrolysis of methyl hydrocinnamate is catalyzed by the enzyme chymotripsin. Data were obtained at 25 C with pH k7.6 and a constant enzyme concentration. These are of initial reaction rate, mol/1iter-sec, and corresponding initial substrate concentrations. Find the Michaelis-Menten constants. 

In the absence of an enzyme, the reaction rate v is proportional to the concentration of substance A (top). The constant k is the rate constant of the uncatalyzed reaction. Like all catalysts, the enzyme E (total concentration [E]t) creates a new reaction pathway, initially, A is bound to E (partial reaction 1, left), if this reaction is in chemical equilibrium, then with the help of the law of mass action—and taking into account the fact that [E]t = [E] + [EA]—one can express the concentration [EA] of the enzyme-substrate complex as a function of [A] (left). The Michaelis constant lknow that kcat > k—in other words, enzyme-bound substrate reacts to B much faster than A alone (partial reaction 2, right), kcat. the enzyme s turnover number, corresponds to the number of substrate molecules converted by one enzyme molecule per second. Like the conversion A B, the formation of B from EA is a first-order reaction—i. e., V = k [EA] applies. When this equation is combined with the expression already derived for EA, the result is the Michaelis-Menten equation. 

An enzyme is said to obey Michaelis-Menten kinetics, if a plot of the initial reaction rate (in which the substrate concentration is in great excess over the total enzyme concentration) versus substrate concentration(s) produces a hyperbolic curve. There should be no cooperativity apparent in the rate-saturation process, and the initial rate behavior should comply with the Michaelis-Menten equation, v = Emax[A]/(7 a + [A]), where v is the initial velocity, [A] is the initial substrate concentration, Umax is the maximum velocity, and is the dissociation constant for the substrate. A, binding to the free enzyme. The original formulation of the Michaelis-Menten treatment assumed a rapid pre-equilibrium of E and S with the central complex EX. However, the steady-state or Briggs-Haldane derivation yields an equation that is iso-... 

The initial reaction rate, A to B, varies until the number of reactants clearly outnumbers the number of reaction sites on the enzyme, at which time, C, the rate becomes zero order, independent of the reactant concentration. Often it is difficult to directly measure the concentration of E as the reaction progresses. Thus, the concentration of E is generally substituted for using the relationship... 

Two characteristics, the Michaelis constant KM and the maximal velocity V are the most important numeric data. The well-known Michaelis-Menten equation describes the relationship between the initial reaction rate and the substrate concentration with these two constants. The actual form of the rate equation of an enzymic process depends on the chemical mechanism of the enzymic transformation of the substrate to product (Table 8.1). 

Rates of hydrolysis of /)-nitrophenyl-P-D-glucopyranoside by P-glucosidase, an irreversible unimolecular reaction, were measured at several concentrations of the substrate. The initial reaction rates were obtained as given in Table 3.2. Determine the kinetic parameters of this enzyme reaction. 

A substrate solution of 0.1 kmol m is reacted in a stirred-batch reactor using the free enzyme. Determine the initial reaction rate and the conversion of the substrate after 10 min. 

Immobilized enzyme beads with a diameter of 10 mm containing the same amount of the enzyme above are used in the same stirred-batch reactor. Determine the initial reaction rate of the substrate solution of 0.1 kinolm". Assume that the effective diffusion coefficient of the substrate in the catalyst beads is 1.0 x 10" cm s". ... 

Michaelis—Menten kinetics kinetics describing processes such as the majority of Enzyme-mediated reactions in which the initial reaction rate at low substrate concentrations is first order but at higher substrate concentrations becomes saturated and zero order. Can also apply to excretion for some compounds. 

The Michaelis-Menten equation (Eq. 9-15) describes the initial reaction rate of a single substrate with an enzyme under steady-state conditions. 

The simplest, but least accurate, method of assaying DPO activity is to record the final color yield when the enzyme is incubated with a suitable chromogenic substrate such as catechol, DOPA, or 4-methylcatechol. DOPA is the most frequently used substrate in colorimetric assays because it yields a dark brown/black end-product. In this reaction, catecholase catalyzes the conversion of DOPA to dopaquinone and then to the red dopachrome, which subsequently polymerizes to yield dark brown melanin-type pigments. Unfortunately, this simple procedure has serious limitations, as it measures the end-product of a sequence of reactions rather than the true initial reaction rate. Furthermore, because different substrates yield different final colors, valid kinetic comparisons between substrates are not possible. Nevertheless, this simple assay technique has proved adequate for useful comparative studies of the levels of enzymic browning in different fruit varieties and similar problems (Vamos-Vigyazo, 1981 Machiex et al., 1990). 

Flo. 5.14. Graphical representation of enzyme inhibition, (a) Eadie-Hofstee and (b) Lineweaver-Burk plots of different types of inhibition. The bold line indicates initial reaction rate in the absence of the inhibitor the lighter lines show initial rates in the... 

In order to understand the effectiveness and characteristics of an enzyme reaction, it is important to know how the reaction rate is influenced by reaction conditions such as substrate, product, and enzyme concentrations. If we measure the initial reaction rate at different levels of substrate and enzyme concentrations, we obtain a series of curves like the one shown in Figure 2.2. From these curves we can conclude the following ... 

Eadie (1942) measured the initial reaction rate of hydrolysis of acetylcholme (substrate) by dog serum (source of enzyme) and obtained the following data ... 

Plots of initial reaction rates as a function of percentage active subtilisin in the biocatalyst were found to be linear for all biocatalyst preparations. Thus, enzyme activation, as high as 3750-fold in hexane for the transesterification of N-Ac-i-Phe-OEt with n-PrOH, is a manifestation of intrinsic enzyme activation and not of relaxation of diffusional limitations resulting from diluted enzyme preparations. Thus, the above-mentioned hypothesis was refuted. As similar results were found for the metalloprotease thermolysin, activation due to lyophilization in the presence of KC1 may be a general phenomenon. 

It has been shown that, in supercritical carbon dioxide, increases in water concentration result in increases in enzyme activity. The amount of added water needed for this increase varies and can depend on many factors, such as reaction type, enzyme utilized, and initial water content of the system. This is true until an optimal level is reached. For hydrolysis reactions, activity will either continue to increase or maintain its value. For esterification or transesterification reactions, once the optimal level of hydration has been reached, additional water will promote only side reactions such as hydrolysis. Dumont et al. (1992) suggests that additional water beyond the optimal level needed for enzyme hydration may also act as a barrier between the enzyme and the reaction medium and thereby reduce enzyme activity. Mensah et al. (1998) also observed that water above a concentration of 0.5 mmol/g enzyme led to lower catalytic activity and that the correlation between water content of the enzyme and reaction rate was independent of the substrate concentrations. 

Another way of evaluating enzymatic activity is by comparing k2 values. This first-order rate constant reflects the capacity of the enzyme-substrate complex ES to form the product P. Confusingly, k2 is also known as the catalytic constant and is sometimes written as kcal. It is in fact the equivalent of the enzyme s TOF, since it defines the number of catalytic cycles the enzyme can undergo in one time unit. The k2 (or kcat) value is obtained from the initial reaction rate, and thus pertains to the rate at high substrate concentrations. Some enzymes are so fast and so selective that their k2/Km ratio approaches molecular diffusion rates (108—109 m s-1). This means that every substrate/enzyme collision is fruitful, and the reaction rate is limited only by how fast the substrate molecules diffuse to the enzyme. Such enzymes are called kinetically perfect enzymes [26],... 

Note The kmIK values were determined by plotting the initial reaction rates versus substrate concentrations using the equation of v = (fct /A )[E][S, where [E] and [S] are the enzyme and substrate concentrations, respectively. The enzyme concentration was used at 0.1 pM for 3C and 0.4 pM for 2A protease. The reactions were performed at 30°C in a 200-pl reaction mixture containing 25 mM HEPES, pH 7.5, 150 mM NaCl, 1 mM EDTA, and 250 pM pNA peptide substrate and monitored by absorbance at 405 nm. Amino acid sequences of the pNA peptides are given in single-letter amino acid code. NC, no cleavage ND, not determined. 

An enzyme assay measures the conversion of substrate to product, under conditions of cofactors, pH and temperature at which the enzyme is optimally active. High substrate concentrations are used so that the initial reaction rate is proportional to the enzyme concentration. Either the rate of appearance of product or the rate of disappearance of substrate is measured, often by following the change in absorbance using a spectrophotometer. Reduced nicotinamide adenine dinucleotide (NADH) and reduced nicotinamide adenine dinucleotide phosphate (NADPH), which absorb light at 340 nm, are often used to monitor the progress of an enzyme reaction. 

Enzyme assays The amount of enzyme protein present can be determined (assayed) in terms of the catalytic effect it produces, that is the conversion of substrate to product. In order to assay (monitor the activity of) an enzyme, the overall equation of the reaction being catalyzed must be known, and an analytical procedure must be available for determining either the disappearance of substrate or the appearance of product. In addition, one must take into account whether the enzyme requires any cofactors, and the pH and temperature at which the enzyme is optimally active (see Topic C3). For mammalian enzymes, this is usually in the range 25-37°C. Finally, it is essential that the rate of the reaction being assayed is a measure of the enzyme activity present and is not limited by an insufficient supply of substrate. Therefore, very high substrate concentrations are generally required so that the initial reaction rate, which is determined experimentally, is proportional to the enzyme concentration (see Topic C3). 

During (he measurement of die enzyme reaction, the reaction velocity ideally should remain constant. Case of proteases or hydrolases ate known where the reaction rate gradually decreases as a result of an inhibitory effect of the reaction products, Therefore it is recommended that an enzyme assay be based, when feasible, upon a measurement of the initial reaction rate. This initial reaction rate can in most cases be obtained by extrapolation, a minimum reaction time being required for obtaining a sufficiently precise titration of the molecules removed or produced during this fixed time span. 

A constant amount of enzyme solution was added to a series of reaction mixtures containing different substrate concentrations. The initial reaction rates were obtained by measuring the initial slopes of the progress curves of product formation. The data in Table 9.3 were obtained ... 

Michaelis-Menten kinetics — is the dependence of an initial -> reaction rate upon the concentration of a substrate S that is present in large excess over the concentration of an enzyme or another catalyst (or reagent) E with the appearance of saturation behavior following the Michaelis-Menten equation,... 

Initial reaction rates at temperatures from 40°C to 60°C increase when the pressure is increased from 80 bar to 300 bar, and decrease with higher pressure (Figure 3). Probably, at lower pressure the adsorption of the ester to the enzyme takes place, causing inhibition of the enzyme. Solubility of the ester increases with higher pressure, so SC C02 flushes away the ester from the enzyme and activity of the enzyme increases. The same explanation was found in lit. [6], On the other hand, at high pressure too much water may be extracted from the biocatalyst resulting in lower reaction yields [7],... 

Figure 3. Initial reaction rates in a BSTR as a function of pressure and temperature. (Rotational speed was 600 rpm, enzyme/substrate ratio was 0.04 g/g.)...

Lipases are the most common enzymes used in non conventional media like organic solvents and supercritical carbon dioxide. Lipases usually hydrolyse fats into fatty acids and glycerol. The special property of lipases is their ability to act at the interface between water and oil. In these experiments lipase (EC 3.1.1.34) from Rhizopus arrhizus (Boehringer Mannheim) was used to investigate the effects of lipase under hydrostatic pressure. The analysed reaction was the hydrolysis of p-Nitrophenyllaureate at different concentrations at 35 °C. The dependance of the kinetic constants between 1 bar and 3000 bar is presented in table 2. Like the thermophilic GDH at 1000 bar lipase is activated under pressure as well. The initial reaction rate increases by a factor of 1.5 at 1000 bar compared to the initial reaction rate at ambient... 

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