In enzyme kinetics, a secondary plot uses the intercept or slope from several LineweaverâÂÂBurk plots to find additional kinetic constants.
For example, when a set of v by [S] curves from an enzyme with a pingâÂÂpong mechanism (varying substrate A, fixed substrate B) are plotted in a LineweaverâÂÂBurk plot, a set of parallel lines will be produced.
The following MichaelisâÂÂMenten equation relates the initial reaction rate v<sub>0</sub> to the substrate concentrations [A] and [B]:
The y-intercept of this equation is equal to the following:
The y-intercept is determined at several different fixed concentrations of substrate B (and varying substrate A). The y-intercept values are then plotted versus 1/[B] to determine the Michaelis constant for substrate B, , as shown in the Figure to the right. The slope is equal to divided by and the intercept is equal to 1 over .
A secondary plot may also be used to find a specific inhibition constant, K<sub>I</sub>.
For a competitive enzyme inhibitor, the apparent Michaelis constant is equal to the following:
The slope of the Lineweaver-Burk plot is therefore equal to:
If one creates a secondary plot consisting of the slope values from several Lineweaver-Burk plots of varying inhibitor concentration [I], the competitive inhbition constant may be found. The slope of the secondary plot divided by the intercept is equal to 1/K<sub>I</sub>. This method allows one to find the K<sub>I</sub> constant, even when the Michaelis constant and v<sub>max</sub> values are not known.