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Graph of enzyme kinetics From Wikipedia, the free encyclopedia
In biochemistry, a Hanes–Woolf plot, Hanes plot, or plot of against is a graphical representation of enzyme kinetics in which the ratio of the initial substrate concentration to the reaction velocity is plotted against . It is based on the rearrangement of the Michaelis–Menten equation shown below:
where is the Michaelis constant and is the limiting rate.[1]
J. B. S. Haldane stated, reiterating what he and K. G. Stern had written in their book,[2] that this rearrangement was due to Barnet Woolf.[3] However, it was just one of three transformations introduced by Woolf. It was first published by C. S. Hanes, though he did not use it as a plot.[4] Hanes noted that the use of linear regression to determine kinetic parameters from this type of linear transformation generates the best fit between observed and calculated values of , rather than .[4]: 1415
Starting from the Michaelis–Menten equation:
we can take reciprocals of both sides of the equation to obtain the equation underlying the Lineweaver–Burk plot:
which can be multiplied on both sides by to give
Thus in the absence of experimental error data a plot of against yields a straight line of slope , an intercept on the ordinate of and an intercept on the abscissa of .
Like other techniques that linearize the Michaelis–Menten equation, the Hanes–Woolf plot was used historically for rapid determination of the kinetic parameters , and , but it has been largely superseded by nonlinear regression methods that are significantly more accurate and no longer computationally inaccessible. It remains useful, however, as a means to present data graphically.
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