Steady-state kinetics of one-substrate enzymic mechanisms involving two enzyme conformations I. Effects of modifiers on a mechanism postulating a single enzyme-substrate complex

1968 ◽  
Vol 21 (2) ◽  
pp. 260-277 ◽  
Author(s):  
C. Cennamo
Keyword(s):  
Steady State ◽  
Substrate Complex ◽  
Enzyme Substrate ◽  
Steady State Kinetics ◽  
Kinetics Of ◽  
Single Enzyme

scholarly journals Single-turnover and steady-state kinetics of hydrolysis of cephalosporins by β-lactamase I from Bacillus cereus

1985 ◽  
Vol 231 (1) ◽  
pp. 83-88 ◽  
Author(s):  
R Bicknell ◽  
S G Waley
Keyword(s):  
Steady State ◽  
Bacillus Cereus ◽  
Substrate Complex ◽  
Single Turnover ◽  
Rate Determining Step ◽  
Enzyme Substrate ◽  
Steady State Kinetics ◽  
Lactam Ring ◽  
Kinetics Of ◽  
Hydrolysis Of

The kinetics of the hydrolysis of two cephalosporins by β-lactamase I from Bacillus cereus 569/H/9 has been studied by single-turnover and steady-state methods. Single-turnover kinetics could be measured over the time scale of minutes when cephalosporin C was the substrate. The other substrate, 7-(2′,4′-dinitrophenylamino)deacetoxycephalosporanic acid, was hydrolysed even more slowly, and has potential for use in crystallographic studies of β-lactamases. Comparison of single-turnover and steady-state kinetics showed that, for both substrates, opening the β-lactam ring (i.e. acylation of the enzyme) was the rate-determining step. Thus the non-covalent enzyme-substrate complex is expected to be the intermediate observed crystallographically.

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 effects of hydrogen ion concentration on the simplest steady-state enzyme systems

1971 ◽  
Vol 123 (3) ◽  
pp. 445-453 ◽  
Author(s):  
P. Ottolenghi
Keyword(s):  
Steady State ◽  
Active Site ◽  
Hydrogen Ion ◽  
Ion Concentration ◽  
Hydrogen Ion Concentration ◽  
Substrate Complex ◽  
Perturbation Term ◽  
Enzyme Substrate ◽  
Enzyme Systems ◽  
Steady State Kinetics

Laidler (1955) showed that consideration of the effect of pH on enzymic mechanisms that obey steady-state kinetics leads to the inclusion in the equations of a ‘perturbation term’ that can introduce curvature into the Lineweaver–Burk plots. He also stated conditions in which this term vanishes. This term can lead to apparent activation by substrate. Further, several cases are shown in which simplification, but not disappearance, of the perturbation term can lead to linearity of Lineweaver–Burk plots. These cases arise when the ionization of groups at the active site either is unaffected or is completely prevented when the enzyme–substrate complex is formed. It is also shown that V(app.) can vary with pH without a concomitant change in Km(app.) in certain cases that obey steady-state kinetics without implying that Km=Ks. When the perturbation term is significant, Dixon's (1953) rules for the calculation of pK values will not always apply.

scholarly journals Patterns of apparent co-operativity in a simple random non-equilibrium enzyme–substrate–modifier mechanism. Comparison with equilibrium allosteric models

1979 ◽  
Vol 177 (2) ◽  
pp. 631-639 ◽  
Author(s):  
Edward P. Whitehead ◽  
Maarten R. Egmond
Keyword(s):  
Steady State ◽  
Substrate Affinity ◽  
State Equations ◽  
Allosteric Interactions ◽  
Enzyme Substrate ◽  
Steady State Kinetics ◽  
Family Of Curves ◽  
The Family ◽  
Kinetics Of ◽  
Non Equilibrium

It has often been claimed that random non-equilibrium mechanisms can result in apparent homotropic and heterotropic effects in steady-state kinetics of the kind more usually attributed to intersubunit allosteric interactions. However, it has never been shown whether any simple random mechanism could in fact give patterns of apparent interaction similar to those predicted by the well-known allosteric models. The patterns of apparent substrate co-operativity and affinity given by the steady-state of a standard simple random substrate–modifier mechanism in which catalytic velocity is proportional to substrate binding have been analysed mathematically and numerically. All patterns possible with this model are described. Some of them rather resemble those possible with standard allosteric models, in that there is a high-affinity and a low-affinity form at zero and infinite modifier concentrations (or vice versa) which show Michaelian behaviour, apparent co-operativity passing through a maximum or minimum at intermediate affinities. Unlike the allosteric models the family of curves is in principle not symmetrical. The random model can also give behaviour not possible with the standard allosteric models, such as higher substrate affinity at intermediate modifier concentrations than at either zero or infinite modifier, with concomitant negative apparent substrate co-operativity, or a single change of sign of apparent substrate co-operativity. The analysis uses recently discovered simplified forms of steady-state equations for random models.

scholarly journals Pre-steady-state kinetics of Bacillus licheniformis 1,3-1,4-beta-glucanase: evidence for a regulatory binding site

2003 ◽  
Vol 371 (3) ◽  
pp. 997-1003 ◽  
Author(s):  
Mireia ABEL ◽  
Karin IVERSEN ◽  
Antoni PLANAS ◽  
Ulla CHRISTENSEN
Keyword(s):  
Steady State ◽  
Bacillus Licheniformis ◽  
Reaction Scheme ◽  
Activation Mechanism ◽  
Stopped Flow ◽  
Beta Glucanase ◽  
Enzyme Substrate ◽  
Steady State Kinetics ◽  
Leaving Groups ◽  
Kinetics Of

In a previous paper, we reported the first stopped-flow experiments on a Bacillus licheniformis 1,3-1,4-β-glucanase [Abel, Planas and Christensen (2001) Biochem. J. 357, 195–202]. It was shown that the pre-steady-state kinetics of the 1,3-1,4-β-glucanase using the substrate 4-methylumbelliferyl 3-O-β-cellobiosyl-β-d-glucoside may be explained by a reaction scheme involving an induced fit and the binding of two substrates as well as a second enzymic conformational change, whereas the results definitely could not be explained in terms of the simple double-displacement scheme. In the present study, we report further stopped-flow kinetic results on the glucanase using a series of low-molecular-mass substrates with various leaving groups and varying chain length. The analysis of the resulting data leads to the conclusion that the free enzyme exists in two conformations, one of which binds the substrates rather strongly in a regulatory site, before any productive interactions can take place. This corresponds to an allosteric activation mechanism. With these substrates, however, the productive enzyme–substrate species are also able to change into less active or inactive forms. This may be seen as a feedback inhibitory mechanism.

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