A four-proton-families model for pH-dependent enzyme activation: application to intestinal brush border sucrase

Current concepts of pH-dependent enzyme function are expanded to consider enzymes with up to four key proton families. In an earlier paper the authors extended classical theory to explain the existence, in the acid ionization reaction, of two functionally distinct, V and K, proton families, exemplified by the 1988 sucrase three-proton-families model of Vasseur et al. They now propose that enzymes having two distinguishable proton families at each side of the pH-activity curves exist in nature although there is no previously published evidence of their existence. The resulting, more general, four-proton-families model is treated as a useful framework from which submodels can be derived by simplification, the simplest being the 1911 linear model of Michaelis and Davidsohn, which took into account two proton families out of the theoretical maximum of four proposed here. It is shown that whether a three-proton-families or a four-proton-families model can explain sucrase better is not merely a question of theory but also involves the practical question of having enough data, at each side of the pH spectrum, to permit making an unequivocal choice between the two alternatives. The paper concludes with a discussion of substrate-induced pK shifts according to both models.