(i.e., it does not affect substrate binding) but decreases Vmax (i.e., inhibitor binding hampers catalysis). Mixed-type inhibitors bind to both E and ES, but their affinities for these two forms of the enzyme are different (Ki ≠ Ki'). Thus, mixed-type inhibitors affect substrate binding (increase or decrease Km) and hamper catalysis in the ES complex (decrease Vmax). When an enzyme has multiple substrates, inhibitors can show different types of inhibition depending on which substrate is considered. This results from the active site containing two different binding sites within the active site, one for each substrate. For example, an inhibitor might compete with substrate A for the first binding site, but be a non-competitive inhibitor with respect to substrate B in the second binding site. Traditionally reversible enzyme inhibitors have been classified as competitive, uncompetitive, or non-competitive, according to their effects on Km and Vmax. These three types of inhibition result respectively from the inhibitor binding only to the enzyme E in the absence of substrate S, to the enzyme–substrate complex ES, or to both. The division of these classes arises from a problem in their derivation and results in the need to use two different binding constants for one binding event. It is further assumed that binding of the inhibitor to the enzyme results in 100% inhibition and fails to consider the possibility of partial inhibition. The common form of the inhibitory term also obscures the relationship between the inhibitor binding to the enzyme and its relationship to any other binding term be it the Michaelis–Menten equation or a dose response curve associated with ligand receptor binding. To demonstrate the relationship the following rearrangement can be made: This rearrangement demonstrates that similar to the Michaelis–Menten equation, the maximal rate of reaction depends on the proportion of the enzyme population interacting with its substrate. fraction of the enzyme population bound by substrate fraction of the enzyme population bound by inhibitor the effect of the inhibitor is a result of the percent of the enzyme population interacting with inhibitor. The only problem with this equation in its present form is that it assumes absolute inhibition of the enzyme with inhibitor binding, when in fact there can be a wide range of effects anywhere from 100% inhibition of substrate turn over to no inhibition. To account for this the equation can be easily modified to allow for different degrees of inhibition by including