Determination of protein-ligand binding constants at equilibrium in biological samples.

Protein-ligand complexes can be separated functionally into two classes. "Specific" binding is characterized, in relative terms, by a high affinity for the ligand and a low binding capacity. "Non-specific" binding is characterized by a low affinity and a very large capacity. The calculation of equilibrium binding constants for any specific protein-ligand interaction requires the exact determination of the unbound ligand concentration and the specifically bound ligand concentration. These determinations usually require corrections for the contribution of non-specific binding. The use of two correction terms, kn and f, is proposed: kn is the product of the affinity constant k times the number of binding sites n of the non-specific components, while f is the fraction of the non-specific binding included in the experimental estimates of bound ligand. Several theoretical solutions using these terms are proposed for the calculation of specific binding constants. The practical choice of the correction factor may be different when the simultaneous measurement of the affinity constant and maximum number of binding sites, or when only the latter, is desired. In the case of complex binding systesm containing more than one specific component, the individual constants can be determined by non-graphical methods, using computer-aided iterative statistical calculations. A complete solution is given for a system containing two specific plus non-specific interactions and actual experiments are reported for steroid hormone-receptro complexes.