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The adsorption of two cations at the anionic sites of a polymer (e.g., such as a protein) in an electric field is discussed, taking into account cooperative interaction of the cations media ted through the backbone of the polymer. The calculation of the grand par t i t ion function explici t ly considers the vacant negative sites of the polymer. As in the case without cooperative interaction, the problem reduces to the determinat ion of the largest eigenvalue of asymmetric matrices. The weights of the different neighbor configurations are determined. Approximate formulae for the grand par t i t ion function and for those weights are derived. The formal analogy of these cooperative phenomena and those occurring in quan tum (bio)chemistry is pointed out exemplifying an earlier suggestion about the basis of quantum biology.

Cooperative specific adsorption of iona at charged sites in an electric field