Tight binding affinities determined from thermodynamic linkage to protons by titration calorimetry

A general titration calorimetry method is described that can be used to determine the affinity of tight binding interactions with proteins. The method is based on the thermodynamic linkage between ligand binding and coupled protonation reactions. The protons linked to a given ligand-binding reaction are measured by titration calorimetry, and integration of the resulting data set yields the pH dependence of the binding affinity based on thermodynamic relationships developed elsewhere. When the pH dependence of the binding affinity is combined with the absolute affinity determined independently at a pH at which the affinity can be conveniently measured, the absolute binding affinity over the entire pH range is determined. The method is well suited for determining high-affinity binding interactions of protein antigens with antibodies, but is applicable to any macromolecular ligand-binding reaction that is coupled to protonation.