The analysis of dead-end inhibition patterns for multisubstrate systems

1969 ◽  
Vol 47 (2) ◽  
pp. 91-108
Author(s):  
R. O. Hurst
Keyword(s):  
Reaction Mechanism ◽  
Rate Equation ◽  
Rate Constants ◽  
Additive Effect ◽  
Enzyme Form ◽  
Linear Fashion ◽  
Dead End ◽  
Ping Pong ◽  
Full Rate ◽  
Enzyme Species

The additive effect of a dead-end inhibitor combining in linear fashion with more than one of the enzyme species in a reaction mechanism is demonstrated. An equation for the calculation of the inhibitor constants that are required for the multicombinations of inhibitor from those obtained for the inhibitor combining with only one enzyme form is provided. A method of tabulation of the inhibitor constants with respect to the coefficients of the denominator terms of the full rate-equation for the uninhibited reaction is given, that facilitates the analysis of the inhibition patterns for the several inhibitor complexes that may be formed. The usefulness of the method for calculating the rate constants for a 'Ping Pong Bi Bi' mechanism is illustrated.

A SIMPLIFIED APPROACH TO THE USE OF DETERMINANTS IN THE CALCULATION OF THE RATE EQUATION FOR A COMPLEX ENZYME SYSTEM

1967 ◽  
Vol 45 (12) ◽  
pp. 2015-2039 ◽  
Author(s):  
R. O. Hurst
Keyword(s):  
Reaction Mechanism ◽  
Rate Equation ◽  
Rate Constants ◽  
Reaction Mechanisms ◽  
Enzyme System ◽  
Inhibition Mechanism ◽  
Simplified Approach ◽  
Enzymic Reaction ◽  
Dead End ◽  
Search For Information

A standardized method of treating the analysis of enzymic reaction mechanisms by means of determinant expressions is given. The fully expanded polynomial expressions for systems of order three, four, and five are presented and their use described. Application of the method to the analysis of the effect of dead-end inhibitors on enzymic reactions is discussed and the inhibitor constants are evaluated in terms of the rate constants involved in the inhibition mechanism. Examples are given to demonstrate the contribution that inhibitor studies may make in the search for information concerning the nature of the enzymic reaction mechanism, in the calculation of the rate constants, and in the estimation of the proportion of the enzyme distributed between the different enzyme forms involved in the reaction.

scholarly journals Cerebral-cortex hexokinases. Elucidation of reaction mechanisms by substrate and dead-end inhibitor kinetic analysis

1971 ◽  
Vol 123 (5) ◽  
pp. 707-715 ◽  
Author(s):  
H. S. Bachelard ◽  
A. G. Clark ◽  
M. F. Thompson
Keyword(s):  
Reaction Mechanism ◽  
Enzymic Activity ◽  
Significant Inhibition ◽  
Kinetic Constants ◽  
Mitochondrial Activity ◽  
Kinetic Properties ◽  
Extraction And Purification ◽  
Dead End ◽  
Ping Pong ◽  
Atp Analogues

1. The substrate kinetic properties of cerebral hexokinases (mitochondrial and cytoplasmic) were studied at limiting concentrations of both glucose and MgATP2−. Primary plots of the enzymic activity gave no evidence of a Ping Pong mechanism in three types of mitochondrial preparation tested (intact and osmotically disrupted mitochondria, and the purified mitochondrial enzyme), nor in the purified cytoplasmic preparation. 2. Secondary plots of intercepts from the primary plots (1/v versus 1/s) versus reciprocal of second substrate of the mitochondrial activity gave kinetic constants which differed from those obtained directly from the plots of 1/v versus 1/s or of s/v versus s, although the ratios of the derived constants were consistent. The kinetic constants obtained with the cytoplasmic enzyme from primary and secondary plots were consistent. 3. Deoxyglucose, as alternative substrate, inhibited cytoplasmic hexokinase by competition with glucose, but did not compete when MgATP2− was the substrate varied. The Ki for deoxyglucose when glucose concentrations were varied was 0.25mm. 4. A range of ATP analogues was tested as potential substrates and inhibitors of hexokinase activity. GTP, ITP, CTP, UTP and βγ-methylene-ATP did not act as substrates, nor did they cause significant inhibition. Deoxy-ATP proved to be almost as effective a substrate as ATP. AMP inhibited but did not act as substrate. 5. N-Acetyl-glucosamine inhibited all preparations competitively when glucose was varied and non-competitively when MgATP2− was varied. AMP inhibition was competitive when MgATP2− was the substrate varied and non-competitive when glucose was varied. 6. The results are interpreted as providing evidence for a random reaction mechanism in all preparations of brain hexokinase, cytoplasmic and mitochondrial. The kinetic properties and reaction mechanism do not change on extraction and purification of the particulate enzyme. 7. The results are discussed in terms of the participation of hexokinase in regulation of cerebral glycolysis.

Alternative mechanism for a bimolecular nonsequential enzymic reaction

1969 ◽  
Vol 47 (2) ◽  
pp. 111-115 ◽  
Author(s):  
R. O. Hurst
Keyword(s):  
Reaction Mechanism ◽  
Product Inhibition ◽  
Alternative Mechanism ◽  
Enzymic Reaction ◽  
Dead End ◽  
Ping Pong ◽  
Inhibition Studies ◽  
Different Order ◽  
Inhibition Pattern

An enzymic reaction mechanism characterized as 'di-Uni Iso Ping Pong' which has the same product inhibition pattern as the 'Ping Pong Bi Bi' mechanism but a different order for the release of products is discussed. A basis for differentiating the two mechanisms by dead-end inhibition studies is given.

scholarly journals A kinetic study of baker's-yeast pyruvate kinase activated by fructose 1,6-diphosphate

1972 ◽  
Vol 129 (5) ◽  
pp. 1035-1047 ◽  
Author(s):  
Neil Macfarlane ◽  
Stanley Ainsworth
Keyword(s):  
Reaction Mechanism ◽  
Kinetic Study ◽  
Pyruvate Kinase ◽  
Rate Constants ◽  
Experimental Results ◽  
Phosphoryl Transfer ◽  
Dead End ◽  
Inhibition Constants ◽  
Quaternary Complex ◽  
Kinetics Of

The paper reports a study of the kinetics of the reaction between phosphoenolpyruvate, ADP and Mg2+catalysed by yeast pyruvate kinase when activated by fructose 1,6-diphosphate and K+. The experimental results indicate that the reaction mechanism is of the Ordered Tri Bi type with the substrates binding in the order phosphoenolpyruvate, ADP and Mg2+. Direct phosphoryl transfer takes place in the quaternary complex, with pyruvate released before MgATP. A dead-end enzyme–pyruvate complex is also indicated. Values have been determined for the Michaelis, dissociation and inhibition constants of the reaction. Several of the rate constants involved have also been evaluated.

PLATELET AGGREGATION DOES NOT CONFORM TO SIMPLE PARTICLE COLLISION THEORY

1987 ◽  
Author(s):  
Moideen P Jamaluddin
Keyword(s):  
Platelet Aggregation ◽  
Rate Equation ◽  
Rate Constants ◽  
Kinetic Scheme ◽  
Order Type ◽  
Second Order ◽  
Particle Collision ◽  
Collision Theory ◽  
Rate Law ◽  
First Order

Platelet aggregation kinetics, according to the particle collision theory, generally assumed to apply, ought to conform to a second order type of rate law. But published data on the time-course of ADP-induced single platelet recruitment into aggregates were found not to do so and to lead to abnormal second order rate constants much larger than even their theoretical upper bounds. The data were, instead, found to fit a first order type of rate law rather well with rate constants in the range of 0.04 - 0.27 s-1. These results were confirmed in our laboratory employing gelfiltered calf platelets. Thus a mechanism much more complex than hithertofore recognized, is operative. The following kinetic scheme was formulated on the basis of information gleaned from the literature.where P is the nonaggregable, discoid platelet, A the agonist, P* an aggregable platelet form with membranous protrusions, and P** another aggregable platelet form with pseudopods. Taking into account the relative magnitudes of the k*s and assuming aggregation to be driven by hydrophobic interaction between complementary surfaces of P* and P** species, a rate equation was derived for aggregation. The kinetic scheme and the rate equation could account for the apparent first order rate law and other empirical observations in the literature.

Gamma-glutamyltransferase: Substrate inhibition, kinetic mechanism, and assay conditions.

1976 ◽  
Vol 22 (4) ◽  
pp. 417-421 ◽  
Author(s):  
J H Stromme ◽  
L Theodorsen
Keyword(s):  
Clinical Chemistry ◽  
Substrate Inhibition ◽  
Kinetic Mechanism ◽  
Reaction Conditions ◽  
Gamma Glutamyltransferase ◽  
Gamma Glutamyl ◽  
Dead End ◽  
Ping Pong ◽  
Competitive Substrate ◽  
Assay Conditions

Abstract Gamma-glutamyltransferase activity in serum is shown to be competitively inhibited by the two substrates gamma-glutamyl-4-nitroanilide and glycylglycine. Awareness of this is of importance when one is choosing final reaction conditions for the assay of the enzyme. Gamma-glutamyltransferase probably acts by a "ping-pong bi-bi" kinetic mechanism, which fits with the double competitive substrate inhibition demonstrated. The product, 4-nitro-aniline, appears to be an uncompetitive dead-end inhibitor of both substrates. Various amino acids, particularly glycine and L-alanine, inhibit the enzyme. Their inhibition patterns are uncompetitive with glycylglycine and competitive with gamma-glutamyl-4-nitroanilide. On the basis of the present and other studies, the Scandinavian Society for Clinical Chemistry and Clinical Physiology is going to recommend for routine use a gamma-glutamyltransferase method in which the final concentrations of gamma-glutamyl-4-nitroanilide and glycylglycine are 4 and 75 mmol/liter, respectively.

THE REDUCTION OF CYTOCHROMEcBY HYDROQUINONE

1963 ◽  
Vol 41 (1) ◽  
pp. 231-237 ◽  
Author(s):  
G. R. Williams
Keyword(s):  
Reaction Mechanism ◽  
Ionic Strength ◽  
Rate Equation ◽  
Second Order ◽  
Order Rate ◽  
Ferricytochrome C ◽  
Kinetics Of ◽  
Kinetics Of Reduction ◽  
Order Rate Equation

The kinetics of reduction of ferricytochrome c by hydroquinone have been studied. The reaction does not conform to a simple second-order rate equation and it is demonstrated that the deviations are brought about by the presence of p-quinone, one of the products of the reaction. The accelerating effect of p-quinone is explained tentatively on the basis of an involvement of the semi-quinone. The effects on the reaction of pH, ionic strength, and temperature are reported and used to suggest features of the reaction mechanism.

scholarly journals A kinetic study of rabbit muscle pyruvate kinase

1973 ◽  
Vol 131 (2) ◽  
pp. 223-236 ◽  
Author(s):  
S. Ainsworth ◽  
N. Macfarlane
Keyword(s):  
Reaction Mechanism ◽  
Kinetic Study ◽  
Pyruvate Kinase ◽  
Random Order ◽  
Experimental Results ◽  
Rabbit Muscle ◽  
Dead End ◽  
Inhibition Constants ◽  
Muscle Pyruvate Kinase ◽  
Kinetics Of

The paper reports a study of the kinetics of the reaction between phosphoenolpyruvate, ADP and Mg2+ catalysed by rabbit muscle pyruvate kinase. The experimental results indicate that the reaction mechanism is equilibrium random-order in type, that the substrates and products are phosphoenolpyruvate, ADP, Mg2+, pyruvate and MgATP, and that dead-end complexes, between pyruvate, ADP and Mg2+, form randomly and exist in equilibrium with themselves and other substrate complexes. Values were determined for the Michaelis, dissociation and inhibition constants of the reaction and are compared with values ascertained by previous workers.

scholarly journals The significance of abrupt transitions in Lineweaver–Burk plots with particular reference to glutamate dehydrogenase. Negative and positive co-operativity in catalytic rate constants

1973 ◽  
Vol 131 (1) ◽  
pp. 97-105 ◽  
Author(s):  
Paul C. Engel ◽  
William Ferdinand
Keyword(s):  
Glutamate Dehydrogenase ◽  
Rate Equation ◽  
Rate Constants ◽  
Initial Rate ◽  
Current Knowledge ◽  
The Other ◽  
Catalytic Rate Constant ◽  
Catalytic Rate ◽  
Linear Sections ◽  
Glucose 6 Phosphate Dehydrogenase

1. Lineweaver–Burk plots for glutamate dehydrogenase, glucose 6-phosphate dehydrogenase and several other enzymes show one or more abrupt transitions between apparently linear sections. These transitions correspond to abrupt increases in the apparent Km and Vmax. with increasing concentration of the varied substrate. 2. The generalized reciprocal initial-rate equation for a multi-site enzyme requires several restrictions to be put on it in order to generate such plots. These mathematical conditions are explored. 3. It is shown that the effective omission of a term in the denominator of the reciprocal initial-rate equation represents a minimal requirement for generation of abrupt transitions. This corresponds in physical terms to negative co-operativity followed by positive co-operativity affecting the catalytic rate constant for the reaction. 4. Previous models for glutamate dehydrogenase cannot adequately account for the results. On the other hand, the model based on both negative and positive co-operativity gives a good fit to the experimental points. 5. The conclusions are discussed in relation to current knowledge of the structure and mechanism of glutamate dehydrogenase.

Vulcanization of Elastomers. 40. Vulcanization of Natural Rubber and Synthetic Rubber with Sulfur in Presence of Sulfenamides. III

1965 ◽  
Vol 38 (1) ◽  
pp. 189-203 ◽  
Author(s):  
W. Scheele ◽  
J. Helberg
Keyword(s):  
Activation Energy ◽  
Reaction Mechanism ◽  
Natural Rubber ◽  
Rate Constants ◽  
Sulfur Concentration ◽  
Kcal Mole ◽  
Synthetic Rubber ◽  
Chemical Constitution ◽  
Induction Times ◽  
Kinetics Of

Abstract Vulcanization of natural rubber with sulfur was studied in presence of six sulfenamides, to determine the effect of the chemical constitution of the sulfenamide on sulfur decrease and on crosslinking. The results can be condensed as follows: (1) The kinetics of sulfur disappearance is in every respect qualitatively independent of the chemical constitution of the sulfenamide. (2) For the sulfenamides investigated, the smallest and largest rate constants for sulfur decrease differed only by a factor of two. (3) Greater differences are encountered in the induction times for sulfur decrease and for crosslinking. The latter are notably longer than those for sulfur disappearance. (4) The same activation energy, 23 kcal/mole, is derived from the temperature dependence of the induction times for all the sulfenamides. (5) The dissociation of sulfenamides in solution and their reaction with mercaptobenzothiazole were investigated further. The results provide the basis for a proposed reaction mechanism, which is presented in detail and can account for a number of the features typical of sulfenamide-accelerated vulcanization. (6) The drop in sulfur concentration goes at practically the same rate, if one introduces, instead of N, N-dicyclohexyl-2-benzothiazolesulfenamide, the corresponding ammonium mercaptide in equimolar concentration.

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