Summary
Transport of membrane-permeable ions through a hydrophobic membrane separating two aqueous phases is treated within the framework of the Poisson-Nernst-Planck equations. Specifically considered are transport through the stagnant (Nernst) and space charge (Gouy-Chapman) layers in the aqueous solutions and partition equilibrium or first-order phase transfer kinetics at the water/membrane interfaces. In all cases the calculated conductance is found to reach a maximum value at high ionic concentrations.
Similar content being viewed by others
References
Bruner, L. J. 1965a. The electrical conductance of semipermeable membranes. I. A. formal analysis.Biophys. J. 5:867
Bruner, L. J. 1965b. The electrical conductance of semipermeable membranes. II. Unipolar flow, symmetrical electrolytes.Biophys. J. 5:887
Frumkin, A. 1933. Wasserstoffüberspannung und Struktur der Doppelschicht.Z. Physik. Chem. 164A:121
LeBlanc, O. H., Jr. 1969. Tetraphenylborate conductance through lipid bilayer membranes.Biochim. Biophys. Acta 193:350
Levich, V. G. 1949. Theory of the non-equilibrium double layer.C. R. Acad. Sci. U.R.S.S. 67:309
Levie, R. de, Moreira, H. 1972. Transport of ions of one kind through thin membranes. I. General and equilibrium considerations.J. Membrane Biol. 9:241
Levie, R. de, Seidah, N. G., Moreira, H. 1972. Transport of ions of one kind through thin membranes. II. Nonequilibrium steady-state behavior.J. Membrane Biol. 10:171
Levie, R. de, Seidah, N. G., Moreira, H. 1972. Transport of ions of one kind through thin membranes. IV. Admittance for membrane-soluble ions.J. Membrane Biol. 16:17
Neumcke, B. 1970. Ion flux across lipid bilayer membranes with charged surfaces.Biophysik 6:231
Overbeek, J. Th. G. 1952. Electrochemistry of the Double Layer.In: Colloid Science. H. R. Kruyt, editor. Vol. 1, Ch. IV., p. 115. Elsevier, Amsterdam
Rangarajan, S. K. 1963. Diffusion with migration in the diffuse double layer.Canad. J. Chem. 41:983
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
de Levie, R., Seidah, N.G. Transport of ions of one kind through thin membranes. J. Membrain Biol. 16, 1–16 (1974). https://doi.org/10.1007/BF01872404
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01872404