Abstract
Solutions of the Poisson-Boltzmann equation yield potential profiles and equilibrium distributions of ions on either side of a spherical shell membrane across which there exists a separation of ionic charges. For the special case in which the membrane is permeable to only one ion the total charge separation is analyzed in terms of the potential difference given by the Nernst equation. Potential profiles and ionic charge distributions are also given for situations involving a uniform distribution of fixed charges within the membrane.
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Schoepfle, G.M., Rehm, W.S. & Young, J.H. Ionic concentration profiles and charge distribution for the domain of a polarized spherical cell. Bltn Mathcal Biology 40, 411–424 (1978). https://doi.org/10.1007/BF02461611
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DOI: https://doi.org/10.1007/BF02461611