Abstract
The interpretation of graphs of pKm as a function of pH by the theory of Dixon (Dixon, 1953) is based on the assumption that each component of the reaction system is active in a particular ionic state and completely inactive in other ionic states. In this paper we analyse the case in which two ionic forms of either the substrate or the enzyme are active to different degrees. After definition of reaction system of this type, a generalized equation is derived connecting the reaction rate to the total substrate concentration. The pH dependence of Km deduced from this equation is discussed and compared with that deriving from the theory of Dixon. The present model predicts that the pKm dependence on pH has the form of a “wave” with two inflexion points, thus providing an alternative interpretation of such behaviour to that afforded by Dixon's formulation.
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