To test whether an enzyme-catalyzed reaction follows the Michaelis-Menten law, an experimenter will usually measure the intitial rates of a series of reactions, all at the same enzyme concentration, but at different substrate concentrations. Because the initial [S] is known precisely, and the change in [S] versus t is almost linear in the initial stages, accurate data for V as a function of [S] can be obtained.
A Lineweaver-Burk plot (Figure 11.16) is obtained by inverting the Michaelis-Menten equation to obtain the following:
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For a reaction obeying Michaelis-Menten kinetics, plotting 1/V versus 1/[S] should yield a straight line. As seen in Figure 11.16, Vmax and KM can also be obtained easily from such a plot.
A disadvantage of the Lineweaver-Burk plot is the long extrapolation necessary to determine KM. One way around this problem is to graph V versus V/[S] (called an Eadie-Hofstee plot). The result, shown in Figure 11.17, also yields a straight line for reactions obeying Michaelis-Menten kinetics. Here, the slope of the line is equal to -KM.
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Kinetics