Comparison of different approaches and computer programs for progress curve analysis of enzyme kinetics

2010 ◽  
Vol 10 (3) ◽  
pp. 191-200 ◽  
Author(s):  
Michael Zavrel ◽  
Karl Kochanowski ◽  
Antje C. Spiess
Keyword(s):  
Enzyme Kinetics ◽  
Computer Programs ◽  
Curve Analysis ◽  
Progress Curve

Application of progress curve analysis to in situ enzyme kinetics using 1H NMR spectroscopy

1986 ◽  
Vol 155 (1) ◽  
pp. 38-44 ◽  
Author(s):  
Jamie I. Vandenberg ◽  
Philip W. Kuchel ◽  
Glenn K. King
Keyword(s):  
Nmr Spectroscopy ◽  
Enzyme Kinetics ◽  
1H Nmr ◽  
1H Nmr Spectroscopy ◽  
Curve Analysis ◽  
Progress Curve

Steady-state kinetics

2000 ◽  
Author(s):  
Athel Cornish-Bowden
Keyword(s):  
Steady State ◽  
Enzyme Kinetics ◽  
Single Molecule ◽  
Transient State ◽  
Curve Analysis ◽  
Rate Equations ◽  
Progress Curve ◽  
Steady State Kinetics ◽  
Time Regime ◽  
Time Courses

All of chemical kinetics is based on rate equations, but this is especially true of steady-state enzyme kinetics: in other applications a rate equation can be regarded as a differential equation that has to be integrated to give the function of real interest, whereas in steady-state enzyme kinetics it is used as it stands. Although the early enzymologists tried to follow the usual chemical practice of deriving equations that describe the state of reaction as a function of time there were too many complications, such as loss of enzyme activity, effects of accumulating product etc., for this to be a fruitful approach. Rapid progress only became possible when Michaelis and Menten (1) realized that most of the complications could be removed by extrapolating back to zero time and regarding the measured initial rate as the primary observation. Since then, of course, accumulating knowledge has made it possible to study time courses directly, and this has led to two additional subdisciplines of enzyme kinetics, transient-state kinetics, which deals with the time regime before a steady state is established, and progress-curve analysis, which deals with the slow approach to equilibrium during the steady-state phase. The former of these has achieved great importance but is regarded as more specialized. It is dealt with in later chapters of this book. Progress-curve analysis has never recovered the importance that it had at the beginning of the twentieth century. Nearly all steps that form parts of the mechanisms of enzyme-catalysed reactions involve reactions of a single molecule, in which case they typically follow first-order kinetics: . . . v = ka . . . . . . 1 . . . or they involve two molecules (usually but not necessarily different from one another) and typically follow second-order kinetics: . . . v = kab . . . . . . 2 . . . In both cases v represents the rate of reaction, and a and b are the concentrations of the molecules involved, and k is a rate constant. Because we shall be regarding the rate as a quantity in its own right it is not usual in steady-state kinetics to represent it as a derivative such as -da/dt.

scholarly journals Progress-curve analysis in enzyme kinetics. Numerical solution of integrated rate equations

1986 ◽  
Vol 235 (2) ◽  
pp. 613-615 ◽  
Author(s):  
R G Duggleby
Keyword(s):  
Numerical Solution ◽  
Enzyme Kinetics ◽  
Direct Calculation ◽  
Curve Analysis ◽  
Rate Equations ◽  
Alternative Formulation ◽  
Progress Curve ◽  
Newton Raphson ◽  
Raphson Method

Progress curves of enzyme-catalysed reactions are described by equations of a type that precludes direct calculation of the extent of reaction at any time. Previously, such equations have been solved by the Newton-Raphson method, but this procedure may fail when based upon the usual formulae. An alternative formulation is proposed that is both quicker and more robust.

Progress curve analysis of qRT-PCR reactions using the logistic growth equation

2011 ◽  
Vol 27 (5) ◽  
pp. 1407-1414 ◽  
Author(s):  
Meile Liu ◽  
Claudia Udhe-Stone ◽  
Chetan T. Goudar
Keyword(s):  
Curve Analysis ◽  
Logistic Growth ◽  
Growth Equation ◽  
Qrt Pcr ◽  
Progress Curve
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