Cooperative binding to linear biopolymers. 1. Fundamental static and dynamic properties.

Abstract

A linear lattice of equivalent binding sites with nearest neighbor cooperativity is used as a basic model for a linear biopolymer displaying cooperative binding of small ligands. Complicating effects due to the dimerization of free ligands are taken into account. The theory implies two types of intrinsic binding processes: (1) the binding of an isolated ligand (nucleation), and (2) the binding of a ligand in the immediate neighborhood of an already bound one (aggregation). The ratio of the respective association constants determines the degree of cooperativity. It is generally shown how the equilibrium properties of the system can be derived by means of the matrix method. Some properties of special practical significance, such as the equilibrium concentrations of free and bound monomer ligands, are discussed in more detail. On the basis of a pertinent kinetic model chemical relaxation of strong cooperative binding is also examined. The paper gives particular emphasis to the formulation of quantitative relations which are most useful for an experimental application of the oretical results. Appropriate procedures to plot measurable data and to evaluate basic parameters are proposed. They are applied to specific experimental systems in a subsequent set of papers.