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Concept
Eadie–Hofstee diagram
Summary
In biochemistry, an Eadie–Hofstee plot (or Eadie–Hofstee diagram) is a graphical representation of the Michaelis–Menten equation in enzyme kinetics. It has been known by various different names, including Eadie plot, Hofstee plot and Augustinsson plot. Attribution to Woolf is often omitted, because although Haldane and Stern credited Woolf with the underlying equation, it was just one of the three linear transformations of the Michaelis–Menten equation that they initially introduced. However, Haldane indicated latter that Woolf had indeed found the three linear forms: "In 1932, Dr. Kurt Stern published a German translation of my book "Enzymes", with numerous additions to the English text. On pp. 119-120, I described some graphical methods, stating that they were due to my friend Dr. Barnett Woolf. [...] Woolf pointed out that linear graphs are obtained when is plotted against , against , or against , the first plot being most convenient unless inhibition is being studied."
The simplest equation for the rate of an enzyme-catalysed reaction as a function of the substrate concentration is the Michaelis-Menten equation, which can be written as follows:
in which is the rate at substrate saturation (when approaches infinity, or limiting rate, and is the value of at half-saturation, i.e. for , known as the Michaelis constant. Eadie and Hofstee independently transformed this into straight-line relationships, as follows: Taking reciprocals of both sides of the equation gives the equation underlying the Lineweaver–Burk plot:
This can be rearranged to express a different straight-line relationship:
which shows that a plot of against is a straight line with intercept on the ordinate, and slope (Hofstee plot). In the Eadie plot the axes are reversed, but the principle is the same. These plots are kinetic versions of the Scatchard plot used in ligand-binding experiments.
The plot is occasionally attributed to Augustinsson and referred to the Woolf–Augustinsson–Hofstee plot or simply the Augustinsson plot.
Official source
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