scholarly journals Kinetics of an enzyme reaction in which both the enzyme-substrate complex and the product are unstable or only the product is unstable

1994 ◽  
Vol 303 (2) ◽  
pp. 435-440 ◽  
Author(s):  
C Garrido-del Solo ◽  
F García-Cánovas ◽  
B H Havsteen ◽  
E Valero ◽  
R Varón
Keyword(s):  
Computer Simulation ◽  
Data Analysis ◽  
Kinetic Data ◽  
Enzyme Reaction ◽  
Enzyme Concentration ◽  
Substrate Complex ◽  
Use Of Data ◽  
Enzyme Substrate ◽  
Experimental Errors ◽  
Kinetics Of

A kinetic analysis of the Michaelis-Menten mechanism has been made for the case in which both the enzyme-substrate complex and the product are unstable or only the product is unstable, either spontaneously or as the result of the addition of a reagent. This analysis allows the derivation of equations which under conditions of limiting enzyme concentration relate the concentration of all of the species to the time. A kinetic data analysis is suggested, which leads to the evaluation of the kinetic parameters involved in the reaction. The analysis is based on the equation which describes the formation of products with time and one's experimental progress curves. We demonstrate the method numerically by computer simulation of the reaction with added experimental errors and experimentally by the use of data from the kinetic study of the action of tyrosinase on dopamine.

scholarly journals Kinetic analysis of a Michaelis-Menten mechanism in which the enzyme is unstable

1993 ◽  
Vol 294 (2) ◽  
pp. 459-464 ◽  
Author(s):  
C Garrido-del Solo ◽  
F García-Cánovas ◽  
B H Havsteen ◽  
R Varón-Castellanos
Keyword(s):  
Data Analysis ◽  
Experimental Design ◽  
Numerical Simulations ◽  
Kinetic Analysis ◽  
Kinetic Data ◽  
Time Course ◽  
Enzyme Concentration ◽  
Free Enzyme ◽  
Substrate Complex ◽  
Enzyme Substrate

A kinetic analysis of the Michaelis-Menten mechanism is made for the cases in which the free enzyme, or the enzyme-substrate complex, or both, are unstable, either spontaneously or as a result of the addition of a reagent. The explicit time-course equations of all of the species involved has been derived under conditions of limiting enzyme concentration. The validity of these equations has been checked by using numerical simulations. An experimental design and a kinetic data analysis allowing the evaluation of the parameters and kinetic constants are recommended.

Transient-phase studies of a trypsin-catalyzed reaction

1970 ◽  
Vol 48 (12) ◽  
pp. 1793-1802 ◽  
Author(s):  
H. P. Kasserra ◽  
K. J. Laidler
Keyword(s):  
Steady State ◽  
Ph Dependence ◽  
Enzyme Concentration ◽  
Alcohol Concentration ◽  
Substrate Complex ◽  
Enzyme Substrate ◽  
Steady State Kinetics ◽  
Kinetics Of ◽  
Hydrolysis Of ◽  
Nitrophenyl Ester

The stopped-flow technique has been used to study the pre-steady-state kinetics of the hydrolysis of N-carbobenzoxy-L-alanine-p-nitrophenyl ester catalyzed by trypsin. By working under conditions such that the enzyme concentration is much greater than that of the substrate, it has been possible to measure [Formula: see text] the rate constant for the conversion of the enzyme-substrate complex into the acyl enzyme. The pH dependence of [Formula: see text] reveals a pKb′ value of 6.9 for the conversion of complex into acyl enzyme, in agreement with deductions from steady-state investigations. The pH dependence of [Formula: see text] (equal to k−1 + k2)/k1) has also been determined. The results provide direct evidence for the existence of an enzyme-substrate complex for this reaction.The work has been done in various mixtures of water and isopropyl alcohol. The logarithms of the rate constants [Formula: see text] and [Formula: see text] vary linearly with 1/D, showing a decrease with increasing alcohol concentration; [Formula: see text] increases with alcohol concentration. The solvent results suggest that addition of alcohol affects the hydrophobic bonding in the protein and leads to unfolding of the enzyme.

Transient-Phase and Steady-State Kinetics for Enzyme Activation

1973 ◽  
Vol 51 (6) ◽  
pp. 806-814 ◽  
Author(s):  
Nasrat H. Hijazi ◽  
Keith J. Laidler
Keyword(s):  
Steady State ◽  
Kinetic Data ◽  
Enzyme Activation ◽  
Transient Phase ◽  
Time Curve ◽  
Substrate Complex ◽  
Enzyme Substrate ◽  
Substrate Activation ◽  
Steady State Kinetics ◽  
Special Case

A non-steady-state analysis has been worked out for two mechanisms in which an activator Q can become attached to an enzyme–substrate complex EA, the species EAQ breaking down more rapidly than EA. It is shown that if EAQ breaks down into EQ + product there can be no steady state. If, however, EAQ breaks down into E + Q + product, the transient phase is followed by a steady state in which the product versus time curve is linear. A special case of this mechanism is when Q is the substrate (substrate activation). Some published kinetic data on carboxypeptidase are analyzed with reference to the equations derived.

scholarly journals The kinetics of hydrolysis of some extended N-aminoacyl-l-arginine methyl esters by human plasma kallikrein. Evidence for subsites S2 and S3

1982 ◽  
Vol 203 (1) ◽  
pp. 149-153 ◽  
Author(s):  
P R Levison ◽  
G Tomalin
Keyword(s):  
Human Plasma ◽  
Methyl Esters ◽  
Plasma Kallikrein ◽  
Substrate Complex ◽  
Enzyme Substrate ◽  
Rate Limiting Step ◽  
Kinetics Of Hydrolysis ◽  
Rate Limiting ◽  
Kinetics Of ◽  
Hydrolysis Of

Subsites in the S2-S4 region were identified in human plasma kallikrein. Kinetic constants (kcat., Km) were determined for a series of seven extended N-aminoacyl-L-arginine methyl esters based on the C-terminal sequence of bradykinin (-Pro-Phe-Arg) or (Gly)n-Arg. The rate-limiting step for the enzyme-catalysed reaction was found to be deacylation of the enzyme. It was possible to infer that hydrogen-bonded interactions occur between substrate and the S2-S4 region of kallikrein. Insertion of L-phenylalanine at residue P2 demonstrates that there is also a hydrophobic interaction with subsite S2, which stabilizes the enzyme-substrate complex. The strong interaction demonstrated between L-proline at residue P3 and subsite S3 is of greatest importance in the selectivity of human plasma kallikrein. The purification of kallikrein from Cohn fraction IV of human plasma is described making use of endogenous Factor XIIf to activate the prekallikrein. Kallikreins I (Mr 91 000) and II (Mr 85 000) were purified 170- and 110-fold respectively. Kallikrein I was used for the kinetic work.

scholarly journals The effect of pH on the kinetics of arylsulphatases A and B

1983 ◽  
Vol 213 (3) ◽  
pp. 603-607 ◽  
Author(s):  
C O'Fagain ◽  
B M Butler ◽  
T J Mantle
Keyword(s):  
Enzyme Activity ◽  
Rat Liver ◽  
Substrate Binding ◽  
Acid Base ◽  
Effect Of Ph ◽  
Substrate Complex ◽  
Enzyme Substrate ◽  
General Acid ◽  
Kinetics Of

The effect of pH on the kinetics of rat liver arylsulphatases A and B is very similar and shows that two groups with pK values of 4.4-4.5 and 5.7-5.8 are important for enzyme activity. Substrate binding has no effect on the group with a pK of 4.4-4.5; however, the pK of the second group is shifted to 7.1-7.5 in the enzyme-substrate complex. An analysis of the effect of pH on the Ki for sulphate inhibition suggests that HSO4-is the true product. A model is proposed that involves the two ionizing groups identified in the present study in a concerted general acid-base-catalysed mechanism.

On the molecular specificity of steroid-enzyme combinations. The kinetics of β -hydroxysteroid dehydrogenase

1955 ◽  
Vol 144 (914) ◽  
pp. 116-132 ◽  
Keyword(s):  
Hydroxysteroid Dehydrogenase ◽  
Hydroxyl Group ◽  
Substrate Complex ◽  
Enzyme Substrate ◽  
Molecular Specificity ◽  
Planar Molecules ◽  
High Concentrations ◽  
Kinetics Of ◽  
Androstane Derivatives ◽  
Marked Tendency

β -Hydroxysteroid dehydrogenase is a purified enzymic protein of bacterial origin which catalyzes oxidations of 3 β - and 17 β -hydroxysteroids to their respective ketones with diphosphopyridine nucleotide as a hydrogen acceptor. The reaction kinetics of this enzyme with a variety of steroids are not in accordance with the predictions of the theory of Michaelis & Menten (1913), since the velocity of oxidation shows a marked tendency to decline at high concentrations of substrate. The behaviour of these compounds may be fully analyzed on the assumption of the formation of an enzyme-substrate complex involving two substrate molecules. The theory for bimolecular complex formation and its implications are examined. Affinity constants have been calculated for various steroids and conclusions drawn as to the structural requirements favouring attachment to the enzyme surface. Phenolic compounds of the oestra-1:3:5(10)-triene-3-ol family are most firmly bound. Planar molecules of the androst-4-ene, androst-5-ene or 5 α -androstane series show intermediate affinity, while testane (5 β -androstane) derivatives which deviate considerably from planarity are most poorly bound to the enzyme surface. The presence of oxygenated functions at positions 3 and 17 promotes high affinity, whereas an additional 11 α - or 11 β ?-hydroxyl group opposes this effect. Conclusions have been drawn as to the manner of attachment of substrates to the enzyme surface. Certain correlations between the molecular requirements for efficient binding of steroids to the enzyme surface and their physiological activities are demonstrated.

scholarly journals Allosteric Enzyme-Based Biosensors—Kinetic Behaviours of Immobilised L-Lysine-α-Oxidase from Trichoderma viride: pH Influence and Allosteric Properties

Biosensors ◽  
2020 ◽  
Vol 10 (10) ◽  
pp. 145
Author(s):  
Antonio Guerrieri ◽  
Rosanna Ciriello ◽  
Giuliana Bianco ◽  
Francesca De Gennaro ◽  
Silvio Frascaro
Keyword(s):  
Trichoderma Viride ◽  
Kinetic Studies ◽  
Pt Electrode ◽  
Allosteric Enzyme ◽  
Substrate Complex ◽  
Enzyme Substrate ◽  
Ph Influence ◽  
Ph Dependent ◽  
Kinetics Of ◽  
Allosteric Properties

The present study describes the kinetics of L-lysine-α-oxidase (LO) from Trichoderma viride immobilised by co-crosslinking onto the surface of a Pt electrode. The resulting amperometric biosensor was able to analyse L-lysine, thus permitting a simple but thorough study of the kinetics of the immobilised enzyme. The kinetic study evidenced that LO behaves in an allosteric fashion and that cooperativity is strongly pH-dependent. Not less important, experimental evidence shows that cooperativity is also dependent on substrate concentration at high pH and behaves as predicted by the Monod-Wyman-Changeux model for allosteric enzymes. According to this model, the existence of two different conformational states of the enzyme was postulated, which differ in Lys species landing on LO to form the enzyme–substrate complex. Considerations about the influence of the peculiar LO kinetics on biosensor operations and extracorporeal reactor devices will be discussed as well. Not less important, the present study also shows the effectiveness of using immobilised enzymes and amperometric biosensors not only for substrate analysis, but also as a convenient tool for enzyme kinetic studies.

Mechanism of Collagen: Glucosyl-transferase and its Relation to Platelet: Collagen Adhesion

1975 ◽  
Author(s):  
D. F. Smith ◽  
D. P. Kosow ◽  
G. A. Jamieson
Keyword(s):  
Steady State ◽  
Cell Surface ◽  
Platelet Function ◽  
Kinetic Data ◽  
Soluble Form ◽  
Physiological Conditions ◽  
Substrate Complex ◽  
Enzymatic Mechanism ◽  
Enzyme Substrate ◽  
Induced Aggregation

Elucidation of the enzymatic mechanism of collagen: glucosyltransferase is essential to an understanding of its role in platelet function. A soluble form of the enzyme has been purified 100-fold and a sensitive new assay system developed. Studies with effectors such as UDP, ADP and ristocetin under steady state conditions have shown that only two of the possible sequential mechanisms are consistent with the kinetic data. Inhibition by UDP and ADP is competitive with UDPG but non-competitive with galactosylhydroxylysine. They would not, therefore, be expected to inhibit the formation of an enzyme-substrate complex with collagen. Under physiological conditions, their presence would be expected to increase the affinity of the cell surface enzyme for its acceptor on collagen in the case of the ordered mechanism, or not to affect it in the case of the random mechanism. These data are consistent with the potentiation of collagen-induced aggregation by ADP, and the lack of effect of UDP on the adherence of platelets to collagen.(Supported, in part, by USPHS.)

scholarly journals Evaluation of the extent of the binding site in human tissue kallikrein by synthetic substrates with sequences of human kininogen fragments

1995 ◽  
Vol 312 (1) ◽  
pp. 233-238 ◽  
Author(s):  
E Del Nery ◽  
J R Chagas ◽  
M A Juliano ◽  
E S Prado ◽  
L Juliano
Keyword(s):  
Human Tissue ◽  
Kinetic Data ◽  
Time Course ◽  
Tissue Kallikrein ◽  
Hydrolysis Time ◽  
Porcine Tissue ◽  
Enzyme Substrate ◽  
Substrate Side ◽  
Kinetics Of ◽  
Hydrolysis Of

We have synthesized internally quenched peptides spanning the Met379-Lys380 or Arg389-Ser390 bonds of human kininogen (hkng) that flank lysyl-bradykinin and have studied the kinetics of their hydrolysis by human tissue kallikrein. The kinetic data for the hydrolysis of the Met-Lys bond in substrates with an N-terminal extension showed that interactions up to position residue P10 contribute to the efficiency of cleavage. In contrast, there were no significant variations in the kinetic data for the hydrolysis of substrates with C-terminal extensions at sites P′4 to P′11. A similar pattern was observed for the cleavage of substrates containing an Arg-Ser bond because substrates extended up to residue P6 were hydrolysed with the highest kcat/Km values in the series, whereas those extended to P′11 on the C-terminal side had a lower susceptibility to hydrolysis. Time-course studies of hydrolysis by human and porcine tissue kallikreins of a Leu373 to Ile393 human kininogen fragment containing omicron-aminobenzoic acid (Abz) at the N-terminus and an amidated C-terminal carboxyl group Abz-Leu-Gly-Met-Ile-Ser-Leu-Met-Lys-Arg- Pro-Pro-Gly-Phe-Ser-Pro-Phe-Arg-Ser-Ser-Arg-Ile-NH2 (Abz-[Leu373-Ile393]-hkng-NH2) indicated that the cleavage of Met-Lys and Arg-Ser bonds in the same molecule occurs via the formation of independent enzyme-substrate complexes. The hydrolysis of Abz-F-R-S-S-R-Q-EDDnp [where EDDnp is N-(2,4-dinitrophenyl)ethylenediamine] and Abz-M-I-S-L-M-K-R-P-Q-EDDnp by human tissue kallikrein had maximal kcat/Km values at pH 9-9.5 for both substrates. The pH-dependent variations in this kinetic parameter were almost exclusively due to variations in kcat. A significant decrease in kcat/Km values was observed for the hydrolysis of Arg-Ser and Met-Lys bonds in the presence of 0.1 M NaCl. Because this effect was closely related to an increase in Km, it is likely that sodium competes with the positive charges of the substrate side chains for the same enzyme subsites.

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