scholarly journals The interpretation of kinetic data for enzyme-catalysed reactions involving three substrates

1969 ◽  
Vol 114 (3) ◽  
pp. 547-556 ◽  
Author(s):  
K. Dalziel
Keyword(s):  
Kinetic Data ◽  
Initial Rate ◽  
Rate Equations ◽  
Rate Data ◽  
Designed Experiments

The analysis and interpretation of initial-rate data for reactions involving three substrates, obtained in suitably designed experiments, are discussed. Possible mechanisms for such reactions are classified, the rate equations are compared and the extent to which they can be distinguished experimentally is considered.

scholarly journals The quantitative analysis of ligand binding and initial-rate data for allosteric and other complex enzyme mechanisms

1976 ◽  
Vol 153 (1) ◽  
pp. 101-117 ◽  
Author(s):  
W G Bardsley
Keyword(s):  
Kinetic Data ◽  
Quantitative Data ◽  
Initial Rate ◽  
Graphical Methods ◽  
Enzyme Kinetic ◽  
Rate Data ◽  
Curve Shape ◽  
High Substrate Concentration ◽  
Complex Curve ◽  
Complex Curves

1. The eight methods for plotting enzyme kinetic data are classified and analysed, and it is shown how, in each case, it is only possible to obtain quantitative data on the coefficients of the lowest- and highest-degree terms in the rate equation. 2. The combinations of coefficients that are accessible experimentally from limiting slopes and intercepts at both low and high substrate concentration are stated for all the graphical methods and the precise effects of these on curve shape in different spaces is discussed. 3. Ambiguities arising in the analysis of complex curves and certain special features are also investigated. 4. Four special ordering functions are defined and investigated and it is shown how knowledge of these allows a complete description of all possible complex curve shapes.

scholarly journals Initial-rate studies of a thermophilic glucokinase from Bacillus stearothermophilus

1987 ◽  
Vol 248 (1) ◽  
pp. 13-20 ◽  
Author(s):  
H Ishikawa ◽  
T Maeda ◽  
H Hikita
Keyword(s):  
Thermal Stability ◽  
Ternary Complex ◽  
Bacillus Stearothermophilus ◽  
Initial Rate ◽  
Rate Equations ◽  
Rate Data ◽  
Michaelis Constant ◽  
Wide Range ◽  
State Assumption ◽  
Reaction Schemes

The initial rates of phosphorylation of glucose catalysed by glucokinase from Bacillus stearothermophilus were measured over a wide range of glucose, MgATP2-, MgADP- and glucose 6-phosphate concentrations. The results of the effects of the inhibitors on the initial rates suggest that the reaction mechanism is essentially the ordered Bi Bi, in which glucose adds to the enzyme before MgATP2- and glucose 6-phosphate is released from the enzyme after the dissociation of MgADP-, and also suggest that the final step in which glucose 6-phosphate is released is irreversible. For many reaction schemes, the rate equations were derived on the basis of the pseudo-steady-state assumption and were used to correlate the experimental rate data. From this result, we concluded that the reaction obeys the ordered mechanism accompanied by the formation of a non-productive ternary complex, glucose-MgADP--enzyme. By using the experimental Dalziel coefficients phi i, some kinetic parameters were evaluated. The enzyme was characterized by the thermal stability and the low Michaelis constant, the values of which were 54 microM for glucose and 32 microM for MgATP2-.

scholarly journals A kinetic analysis of enzyme systems involving four substrates

1974 ◽  
Vol 141 (3) ◽  
pp. 789-805 ◽  
Author(s):  
Keith R. F. Elliott ◽  
Keith F. Tipton
Keyword(s):  
Kinetic Analysis ◽  
Kinetic Data ◽  
Initial Rate ◽  
Product Inhibition ◽  
Rate Equations ◽  
Enzyme Mechanisms ◽  
Enzyme Systems

A treatment of kinetic data for enzyme mechanisms involving four substrates is described. The initial-rate equations and product-inhibition patterns for such mechanisms are presented. The treatment is extended to include analysis of enzyme mechanisms involving three substrates in which two molecules of one substrate are used.

scholarly journals Kinetic studies of bovine liver carbamoyl phosphate synthetase

1974 ◽  
Vol 141 (3) ◽  
pp. 807-816 ◽  
Author(s):  
Keith R. F. Elliott ◽  
Keith F. Tipton
Keyword(s):  
Initial Rate ◽  
Kinetic Studies ◽  
Bovine Liver ◽  
Kinetic Mechanism ◽  
Rate Equations ◽  
British Library ◽  
Rate Data ◽  
Carbamoyl Phosphate Synthetase ◽  
Carbamoyl Phosphate ◽  
Lending Library

A through study of initial-rate data has been made on carbamoyl phosphate synthetase from bovine liver. On the basis of the results the order of substrate binding to the enzyme is ATPMg followed by HCO3−, ATPMg and NH4+. A model for the enzymic mechanism is proposed, and the rate equations describing it are presented. Details of the derivation of the initial-rate equation for the kinetic mechanism proposed have been deposited as Supplementary Publication SUP 50032 (6 pages) at the British Library, Lending Division (formerly the National Lending Library for Science and Technology), Boston Spa, Yorks. LS23 7QB, U.K., from whom copies may be obtained on the terms indicated in Biochem. J. (1973), 131, 5.

STUDIES ON THE FORMATION OF HEXAMINE

1952 ◽  
Vol 30 (9) ◽  
pp. 687-693 ◽  
Author(s):  
T. R. Ingraham ◽  
C. A. Winkler
Keyword(s):  
Activation Energy ◽  
Acetic Acid ◽  
Acid Solution ◽  
Induction Period ◽  
Ammonium Nitrate ◽  
Sodium Acetate ◽  
Glacial Acetic Acid ◽  
Initial Rate ◽  
Acetic Acid Solution ◽  
Rate Data

Rate curves have been determined for the reaction of ammonium nitrate with formaldehyde in glacial acetic acid solution at 25 °C., 35 °C., 45 °C., and 55 °C. over a range of Initial mole ratios (formaldehyde: ammonia) of 0.75:1 to 9.0:1. Data obtained at 25 °C. show a definite induction period in the formation of hexamine. The length of the induction period is not changed by increasing ammonium nitrate concentrations above the theoretical (1.5:1), but may be appreciably shortened by initial additions of excess formaldehyde or of sodium acetate. From 35 °C. upward, the induction period is not apparent. The order of the reaction with respect to formaldehyde has been determined from initial rate data, and an activation energy calculated. The reactions in general appear analogous to those found in slightly acid aqueous systems.

Derivation of Initial Rate Equations for Low-temperature Water Gas Shift Reaction over Pt–Re/ZrO2Catalysts

2010 ◽  
Vol 39 (2) ◽  
pp. 144-145 ◽  
Author(s):  
Hajime Iida ◽  
Takumi Yamamoto ◽  
Masaru Inagaki ◽  
Akira Igarashi
Keyword(s):  
Low Temperature ◽  
Initial Rate ◽  
Water Gas Shift ◽  
Rate Equations ◽  
Water Gas Shift Reaction ◽  
Shift Reaction ◽  
Water Gas ◽  
Temperature Water

Mechanisms of Nucleophilic Attack at Carbon - Nitrogen Double Bonds: Reactions of Benzohydrazonoyl Halides with Secondary Amines in Benzene

1997 ◽  
Vol 50 (8) ◽  
pp. 849 ◽  
Author(s):  
Jeffrey E. Rowe ◽  
Kam Lee
Keyword(s):  
Second Order ◽  
Secondary Amines ◽  
Nucleophilic Attack ◽  
Rate Equations ◽  
Rate Data ◽  
Double Bonds ◽  
Effect Data ◽  
First Order ◽  
Amine Molecule

The reactions of a series of substituted benzohydrazonoyl halides with cyclic secondary amines in benzene as solvent are investigated. The rate equations for these reactions were complex and the derived rate data are reported. The element effect data showed that the fluoro compounds only reacted when a second amine molecule was available to assist the reaction, whereas the chloro and bromo compounds reacted by reactions which were both first order and second order in amine (k′′Br : k′′Cl = 9·5 : 1 and k′′′Br :k′′′Cl : k′′′F = 4·7 : 1 : 0·65). The mechanism of these reactions is discussed.

scholarly journals Integrated rate equations for enzyme-catalysed first-order and second-order reactions

1984 ◽  
Vol 223 (1) ◽  
pp. 15-22 ◽  
Author(s):  
E A Boeker
Keyword(s):  
Initial Rate ◽  
Second Order ◽  
Rate Equations ◽  
First Order ◽  
Rate Kinetics

Generalized rate equations covering all mechanisms giving hyperbolic initial-rate kinetics with stoichiometry A in equilibrium P, A in equilibrium P + Q, A + B in equilibrium P and A + B in equilibrium P + Q were integrated. The results are regular and reasonably economical.

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