Abstract
A simple model of a membrane is used to obtain relations among five measurable quantities: the inward and outward ionic fluxes, the internal and external ionic concentrations, and the difference of electrical potential across the membrane. The Goldman equation is generalized to arbitrary geometrical shapes.
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Literature
Hodgkin, A. L. 1951. “The Ionic Basis of Electrical Activity in Nerve and Muscle.”Biol. Rev. 26, 339–409.
Goldman, D. E. 1943. “Potential, Impedance and Rectification in Membranes.”Jour. Gen. Physiol 27, 37–60.
Margenau, H. and Murphy, H.. 1943.The Mathematics of Physics and Chemistry. New York: D. Van Nostrand, Inc.
Planck, M. 1890. “Über die Erregung von Electrizitat und Wärme in Elektrolyten.”Ann. Physik. 39, 161–86.
— 1890. “Uber die Potentialdifferenz zwischen zwei verdünnten Lösungen binärer Elektrolyte.”Ann. Physik.,40, 561–76.
Polissar, M. 1954. In Johnson, Eyring, and Polissar.The Kinetic Basis of Molecular Biology. Chapter 11. New York: John Wiley & Sons, Inc.
Sitte, K. 1934. “Untersuchen über Diffusion in Flussigkeiten VIII.”Zeitschr. f. Physik. 91, 622–50.
Teorell, T. 1953. “Transport Processes and Electrical Phenomena in Ionic Membranes.”Prog. Biophys. 3, 305–69.
Ussing, H. H. 1953. “Transport Through Biological Membranes.”Ann. Rev. Physiol. 15, 1–20.
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Predoctoral Fellow of the National Science Foundation.
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Harris, J.D. On the diffusion of ions in membranes. Bulletin of Mathematical Biophysics 18, 255–261 (1956). https://doi.org/10.1007/BF02481860
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DOI: https://doi.org/10.1007/BF02481860