[Role of nonspecific complex formation in protein-nucleic acid recognition]

Combinatory mathematical model of equilibrium binding of recognising proteins to DNA has been considered. The expression for the ratio of specific and unspecific complex as the function of a number of nucleotides in DNA, a number of centers of recognition, concentration of recognising molecules and a code number have been obtained. The analysis of obtained expression for the repressor--operator system showed that binary code would preferable than quartic one. The specificity of binding corresponding to experimental results have been observed by the number of centers more than twenty, in the narrow interval of the energy value and by high limitation on the number of combinations of error centers.