A quantitative analysis of excluded-site effects for highly cooperative binding systems

Binding isotherms can provide quantitive information regarding the stability of a molecular complex. Theorectical studies in recent years have been directed to systems in which a single ligand can exclude more than one polymer site (excluded-site effect). This system has minium of thre parameters to describe the binding data: the intrinsic binding constant, B; the remote-neighbor cooperative paramaters, σ_q and the number of excluded sites, q. It is suggested in the present communication that precise values for these three parameters can be obtained by utilizing the characteristics of two forms of data representation: θ vs ln m and θ/m vs θ, where θ is the degree of saturation (0?θ?1) and m is the molality of free ligand. The matrix generation method is used to obtain empirical equations relating the midpoint location and slope at the midpoint of the θ vs ln m plot to the three molecular parameters. A modified Scatchard theory is also presented for highly cooperative systems, which results in an expression relaing the maximum in the θ/m vs θ plot to the molecular parameters σ_q and q, thus providing the third equation for the three unknown parameters. The novel method f analysis is illustrated with the AMP-poly(L -arginine) and oligocytidylate–T7 DNA sstems.