Nonlinear regression analysis of the time course of ligand binding experiments

The binding and release of hormones and growth factors are often relatively slow processes under biological conditions. Consequently, a knowledge of the underlying rate constants may be of greater physiological relevance than the equilibrium constant. Here we show how, by following a single time course of binding, the rate constants for both binding and release can be determined. The ratio of these rate constants allows the binding constant to be calculated. A nonlinear regression computer program is described which facilitates these calculations and which provides estimates and standard errors of the constants determined. The method is illustrated by the binding of human growth hormone to the human growth hormone binding protein, and the binding of ovine prolactin to the rabbit prolactin receptor.