The bulletin of mathematical biophysics

, Volume 27, Supplement 1, pp 91–104 | Cite as

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

  • George Karreman


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


Large Eigenvalue Cooperative Interaction Secular Equation Charged Site Cooperative Phenomenon 
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Copyright information

© N. Rashevsky 1965

Authors and Affiliations

  • George Karreman
    • 1
  1. 1.Bockus Research Institute and Department of Physiology, Graduate School of Medicinethe Graduate Hospital of the University of PennsylvaniaPhiladelphia

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