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In biochemistry, a Hanes–Woolf plot, Hanes plot, or plot of a / v {\displaystyle a/v} against a {\displaystyle a} , is a graphical representation of enzyme kinetics in which the ratio of the initial substrate concentration a {\displaystyle a} to the reaction velocity v {\displaystyle v} is plotted against a {\displaystyle a}. It is based on the rearrangement of the Michaelis–Menten equation shown below:
where K m {\displaystyle K_{\mathrm {m} }} is the Michaelis constant and V {\displaystyle V} is the limiting rate.
J B S Haldane stated, reiterating what he and K. G. Stern had written in their book, that this rearrangement was due to Barnet Woolf. However, it was just one of three transformations introduced by Woolf, who did not use it as the basis of a plot. There is therefore no strong reason for attaching his name to it. It was first published by C. S. Hanes, though he did not use it as plot either. Hanes said that the use of linear regression to determine kinetic parameters from this type of linear transformation is flawed, because it generates the best fit between observed and calculated values of 1 / v {\displaystyle 1/v} , rather than v {\displaystyle v}.
Starting from the Michaelis–Menten equation: