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.

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 Mechanisms of Cerebrovascular O2 Sensitivity from Hyperoxia to Moderate Hypoxia in the Rat

1989 ◽  
Vol 9 (2) ◽  
pp. 187-195 ◽  
Author(s):  
Tadashi Shinozuka ◽  
Edwin M. Nemoto ◽  
Peter M. Winter
Keyword(s):  
Blood Flow ◽  
Steady State ◽  
Hydrogen Ion ◽  
Ion Concentration ◽  
Simultaneous Solution ◽  
Hydrogen Ion Concentration ◽  
State Reduction ◽  
Moderate Hypoxia ◽  
Cortical Cerebral Blood Flow ◽  
Tissue Acidosis

Cerebrovascular dilation over PaO2 ranging from hyperoxia to moderate hypoxia is unexplained. We hypothesize that tissue acidosis is the cause. Local cortical cerebral blood flow (LCBF), tissue hydrogen ion concentration [H+]t, and tissue Po2 (Pto2) were measured with microelectrodes in the parietal cortex of 18 rats during a 30-min steady state on 60 to 10% inspired O2 (Pao2, 300 to 40 torr) during 40% N2O analgesia. Five rats kept on 60% O2/40% N2O served as controls. In 18 rats at a Pao2 of 275 ± 7 torr (X̄ ± SEM) and Paco2 of 35 ±1 torr, cerebral values were: LCBF = 129 ± 23 (X̄ ± SEM) ml · 100 g−1 · min−1; [H+], = 62 ± 6 n M; and Pto2 = 25 ± 3 torr. As Pao2 was reduced from about 300 to 40 torr, changes in these variables in percentage of control with respect to Pao2, were described by the following equations, all at P < 0.0001: LCBF = 85.9 + 5,572/Pao2; [H+]t = 97.15 + 1,012/Pao2; and = 108.8 − 3,492/Pao2. Simultaneous solution of the LCBF and [H+]t equations at various Pao2 revealed a slope of 8.82%/n M. Direct correlation between LCBF in ml · 100 g−1 · min−1 and [H+]t in n M revealed a linear relationship defined by the equation Y = − 7.472 + 1.6705 X ( r = 0.6426) for [H+]t between 56 and 160 n M (pH = 7.25 and 6.80) but no correlation at [H+]t values between 56 and 32 n M (pH = 7.25 to 7.50). Cerebrovascular tone is directly correlated with [H+]t during progressive, 30-min steady-state reduction in Pao2 from 350 to 40 torr.

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.

scholarly journals Kinetic Mechanism of Human dUTPase, an Essential Nucleotide Pyrophosphatase Enzyme

2007 ◽  
Vol 282 (46) ◽  
pp. 33572-33582 ◽  
Author(s):  
Judit Tóth ◽  
Balázs Varga ◽  
Mihály Kovács ◽  
András Málnási-Csizmadia ◽  
Beáta G. Vértessy
Keyword(s):  
Steady State ◽  
Active Site ◽  
Reaction Pathway ◽  
Three Dimensional ◽  
Kinetic Mechanism ◽  
Dimensional Structure ◽  
Substrate Complex ◽  
Enzyme Substrate ◽  
Novel Target ◽  
Rate Limiting

Human dUTPase is essential in controlling relative cellular levels of dTTP/dUTP, both of which can be incorporated into DNA. The nuclear isoform of the enzyme has been proposed as a promising novel target for anticancer chemotherapeutic strategies. The recently determined three-dimensional structure of this protein in complex with an isosteric substrate analogue allowed in-depth structural characterization of the active site. However, fundamental steps of the dUTPase enzymatic cycle have not yet been revealed. This knowledge is indispensable for a functional understanding of the molecular mechanism and can also contribute to the design of potential antagonists. Here we present detailed pre-steady-state and steady-state kinetic investigations using a single tryptophan fluorophore engineered into the active site of human dUTPase. This sensor allowed distinction of the apoenzyme, enzyme-substrate, and enzyme-product complexes. We show that the dUTP hydrolysis cycle consists of at least four distinct enzymatic steps: (i) fast substrate binding, (ii) isomerization of the enzyme-substrate complex into the catalytically competent conformation, (iii) a hydrolysis (chemical) step, and (iv) rapid, nonordered release of the products. Independent quenched-flow experiments indicate that the chemical step is the rate-limiting step of the enzymatic cycle. To follow the reaction in the quenched-flow, we devised a novel method to synthesize γ-32P-labeled dUTP. We also determined by indicator-based rapid kinetic assays that proton release is concomitant with the rate-limiting hydrolysis step. Our results led to a quantitative kinetic model of the human dUTPase catalytic cycle and to direct assessment of relative flexibilities of the C-terminal arm, critical for enzyme activity, in the enzyme-ligand complexes along the reaction pathway.

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