THEORY OF THE TRANSIENT PHASE IN AN ENZYME SYSTEM INVOLVING TWO ENZYME-SUBSTRATE COMPLEXES: THE CASE OF THE FORMATION OF PRODUCTS FROM THE FIRST COMPLEX

1959 ◽  
Vol 37 (4) ◽  
pp. 737-743 ◽  
Author(s):  
Ludovic Ouellet ◽  
James A. Stewart
Keyword(s):  
Experimental Data ◽  
Steady State ◽  
Active Site ◽  
Substrate Concentration ◽  
Enzyme System ◽  
Kinetic Scheme ◽  
Enzyme Concentration ◽  
Theoretical Treatment ◽  
Transient Phase ◽  
Enzyme Substrate

A theoretical treatment is worked out for the kinetic scheme[Formula: see text]in which the concentration of P1 is followed. The steady-state and transient phase equations are obtained subject to the condition that the substrate concentration is greatly in excess of the enzyme concentration. The conditions under which evidence in favor of this mechanism can be obtained from experimental data are discussed. Under certain conditions, the weight of the enzyme corresponding to one active site can be determined. Methods for the evaluation of the different constants are described.

THEORY OF THE TRANSIENT PHASE IN KINETICS, WITH SPECIAL REFERENCE TO ENZYME SYSTEMS: II. THE CASE OF TWO ENZYME–SUBSTRATE COMPLEXES

1956 ◽  
Vol 34 (2) ◽  
pp. 146-150 ◽  
Author(s):  
Ludovic Ouellet ◽  
Keith J. Laidler
Keyword(s):  
Steady State ◽  
Substrate Concentration ◽  
Kinetic Scheme ◽  
Rate Equations ◽  
Theoretical Treatment ◽  
Transient Phase ◽  
Enzyme Substrate ◽  
Enzyme Systems ◽  
Steady State Rate ◽  
State Rate

A theoretical treatment is worked out for the kinetic scheme[Formula: see text]in which two enzyme–substrate complexes are formed consecutively. The steady-state rate equations are obtained, and equations are given for the transient phase subject to the condition that the substrate concentration is greatly in excess of that of the enzyme. Some kinetic consequences of the resulting equations are discussed.

Estimation of kinetic parameters of androgen-synthesizing enzyme activities in superfused Leydig cells from rat testes: Difference between endogenous and exogenous substrates

1984 ◽  
Vol 4 (6) ◽  
pp. 483-488 ◽  
Author(s):  
Nikolaus Kühn-Velten ◽  
Joachim Wolff ◽  
Wolfgang Staib
Keyword(s):  
Steady State ◽  
Kinetic Parameters ◽  
Active Site ◽  
Enzyme Activities ◽  
Substrate Concentration ◽  
Leydig Cells ◽  
Hydroxysteroid Dehydrogenase ◽  
Endogenous Substrate ◽  
Catalyzed Reactions ◽  
Actual Substrate

Kinetic parameters of 3β-hydroxysteroid dehydrogenase/isomerase, steroid-17α-monooxygenase, and steroid-17,20-lyase activities were estimated under steady-state conditions. Purified Leydig cells from rat testes were superfused with pregnenolone, progesterone, or 17α-hydroxyprogesterone. The Km values for both the monooxygenase- and the lyase-catalyzed reactions were by factors of five to ten higher if analyzed with the exogenously added substrate (0.98 and 0.65 μM, respectively) than if calculated from endogenous substrate derived from a precursor (0.10 and 0.13 μM, respectively). This discrepancy may be explained by different substrate partition between the intra- and extraceIJular spaces and by different substrate concentration at the active site of the respective enzyme, depending on whether the actual substrate is of exogenous or endogenous source.

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 Construction of a Full-Atomic Mechanistic Model of Human Apurinic/Apyrimidinic Endonuclease APE1 for Virtual Screening of Novel Inhibitors

Acta Naturae ◽  
2012 ◽  
Vol 4 (2) ◽  
pp. 80-86
Author(s):  
I. G. Khaliullin ◽  
D. K. Nilov ◽  
I. V. Shapovalova ◽  
V. K. Švedas
Keyword(s):  
Experimental Data ◽  
Active Site ◽  
Molecular Model ◽  
Mechanistic Model ◽  
Proton Acceptor ◽  
Repair System ◽  
Amino Acid Residues ◽  
Enzyme Substrate ◽  
Oncological Diseases ◽  
Important Enzyme

A full-atomic molecular model of human apurinic/apyrimidinic endonuclease APE1, an important enzyme in the DNA repair system, has been constructed. The research consisted of hybrid quantum mechanics/ molecular mechanics modeling of the enzyme-substrate interactions, as well as calculations of the ionization states of the amino acid residues of the active site of the enzyme. The choice of the APE1 mechanism with an Asp210 residue as a proton acceptor was validated by means of a generalization of modeling and experimental data. Interactions were revealed in the active site that are of greatest significance for binding the substrate and potential APE1 inhibitors (potential co-drugs of interest in the chemo- and radiotherapy of oncological diseases).

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 On the quasi-steady-state assumption applied to Michaelis-Menten and suicide substrate reactions with diffusion

1991 ◽  
Vol 337 (1646) ◽  
pp. 299-306 ◽  
Keyword(s):  
Steady State ◽  
Substrate Concentration ◽  
Quasi Steady State ◽  
Enzyme Substrate ◽  
Steady State Assumption ◽  
Suicide Substrate ◽  
Substrate Ratio ◽  
State Assumption ◽  
Recent Extension

We consider a recent extension to the validity of the quasi-steady-state assumption ( QSSA ) which includes the case where the ratio of the initial enzyme to substrate concentration is not necessarily small. We extend the analysis to include diffusion of substrate, in which case the initial enzyme to substrate ratio is spatially dependent and no longer constant. We show that the region in which the QSSA holds depends on the nature of the enzyme-substrate reaction: if the enzyme is inactivated by the substrate then the QSSA holds in a growing disc; if the enzyme is unchanged after reaction then the QSSA holds in a ring travelling through space.

scholarly journals Computer program for the kinetic equations of enzyme reactions. The case in which more than one enzyme species is present at the onset of the reaction

1991 ◽  
Vol 278 (1) ◽  
pp. 91-97 ◽  
Author(s):  
R Varón ◽  
B H Havsteen ◽  
M García ◽  
F García-Canóvas ◽  
J Tudela
Keyword(s):  
Steady State ◽  
Computer Program ◽  
Enzyme System ◽  
Kinetic Equations ◽  
British Library ◽  
Transient Phase ◽  
Enzyme Reactions ◽  
Steady State Kinetic ◽  
State Kinetic ◽  
Enzyme Species

This paper presents an extension of the program developed by Varón, Havsteen, García, García-Cánovas & Tudela [(1990) Biochem. J. 270, 825-828] for the expression of the transient-phase and steady-state kinetic equations of a general enzyme system in which the only enzyme species present at the onset of the reaction is the free enzyme. The program has been extended to situations in which more than one enzyme species may be present at the onset of the reaction. The program is given in Supplementary Publication SUP50165 (5 pages), which has been deposited at the British Library Document Supply Centre, Boston Spa, Wetherby, West Yorkshire LS23 7BQ, U.K., from whom copies can be obtained on the terms indicated in Biochem. J. (1991) 273, 5.

scholarly journals Uncovering the Binding Mode of γ-Secretase Inhibitors

2019 ◽  
Author(s):  
M. Hitzenberger ◽  
M. Zacharias
Keyword(s):  
Experimental Data ◽  
Transition State ◽  
Amyloid Precursor Protein ◽  
Active Site ◽  
Structural Model ◽  
Ph Value ◽  
Binding Mode ◽  
Enzyme Substrate ◽  
Transition State Geometry ◽  
The Stability

AbstractKnowledge of how transition state inhibitors bind to γ-secretase is of major importance for the design of new Alzheimer’s disease therapies. Based on the known structure of γ-secretase in complex with a fragment of the amyloid precursor protein we have generated a structural model of γ-secretase in complex with the effective L-685,458 transition state inhibitor. The predicted binding mode is in excellent agreement with experimental data, mimicking all enzyme-substrate interactions at the active site and forming the relevant transition state geometry with the active site aspartate residues. In addition, we found that the stability of the complex is very likely also sensitive to the pH value. Comparative simulations on the binding of L-685,458 and the epimer L682,679 allowed us to explain the strongly reduced affinity of the epimer for γ-secretase. The structural model could form a valuable basis for the design of new or modified γ-secretase inhibitors.

Transient-Phase and Steady-State Kinetics for Inhibited Enzyme Systems. II. Double-Intermediate Mechanisms

1973 ◽  
Vol 51 (6) ◽  
pp. 822-831 ◽  
Author(s):  
Nasrat H. Hijazi ◽  
Keith J. Laidler
Keyword(s):  
Steady State ◽  
Rate Constants ◽  
Enzyme Concentration ◽  
Transient Phase ◽  
Enzyme Systems ◽  
Steady State Kinetics ◽  
Inhibited Enzyme

Equations for the pre-steady state and the steady state are derived for enzyme systems in which the enzyme E, the substrate A, and an inhibitor Q are present together, the enzyme concentration being much lower than the concentrations of A and Q. Various mechanisms are considered, ail of them involving two intermediates EA and EA′ (e.g. an acyl enzyme). When the inhibition is reversible the transient phase is followed by the establishment of a steady state. It is shown how experimental pre-steady-state and steady-state results can be analyzed to obtain rate constants, including those for the binding of inhibitor. If the binding of inhibitor is irreversible there is no steady state.

Sign in / Sign up

Export Citation Format

Share Document