Three different, linear, three-site binding models are presented for t
he binding of proteins, such as a repressor, to DNA. The first model a
ssumes that the DNA is rigid and all correlations between the Ligands
are due to direct ligand-ligand interactions. In the second and third
models conformational changes in the DNA are induced by the binding pr
ocess. In these models we find both direct and indirect correlations b
etween the ligands. Examination of the indirect correlation reveals tw
o characteristic features that, in general, are negligible in the dire
ct correlation. (1) Long range correlation, between nonadjacent sites.
(2) Nonadditivity of the triplet correlations. It is shown that these
two features cannot be neglected in the indirect correlations. The ar
guments for explaining these features are similar to those which expla
in long range and nonadditivies of correlations in the liquid state. (
C) 1997 American Institute of Physics. [S0021-9606(97)52046-0].