The Journal of Membrane Biology

, Volume 10, Issue 1, pp 67–91 | Cite as

The steady-state theory of the carrier transport of ions

  • S. B. Hladky
Article
Received:

Summary

The theory for the carrier transport of ions across lipid membranes is extended to consider the potential dependence of the association-dissociation reactions between the carrier and the ions and to consider the effects of aqueous unstirred layers on the exchange of the carrier molecules between the membrane and the aqueous phases. Theoretical expressions are presented under the assumptions that the rate constants vary only with the applied potential and that any one of the following applies: (1) The association-dissociation reaction is at equilibrium; (2) There is only one form of carrier in the aqueous phase; (3) The carrier concentration in the membrane is determined by exchange with the Plateau border which surrounds a black lipid membrane; (4) The total carrier concentration in the membrane is constant; or (5) The association-dissociation reactions are independent of potential. The existing data for valinomycin, the actins, and carbonylcyanide-m-chlorophenylhydrazone are consistent with several of the expressions given but are inadequate to decide between them or, in the absence of additional information, to confirm the model. Within the terms of the model, the data for valinomycin and nonactin require that the association reactions depend on potential, but provide no information on the interfacial rate constants for carrier entering or leaving the membrane.

Keywords

Lipid Membrane Carrier Concentration Carrier Transport Valinomycin Theoretical Expression 
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Copyright information

© Springer-Verlag New York Inc 1972

Authors and Affiliations

  • S. B. Hladky
    • 1
  1. 1.Physiological LaboratoryUniversity of CambridgeEngland

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