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Approximate treatment of the formation of a difference in the concentrations of an ion at the two sides of a membrane

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Abstract

The recent extension of the approximation method is applied to enable us to arrive at the time course of the concentrations at both sides of a membrane. From the differential equations which govern these, the steady-state solution is obtained in terms of the parameters, which are determined by the thickness of the diffusion layers, the chemical composition and reactions, and the diffusion constant of the membrane.

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Literature

  • Karreman, G. 1953. “Some Considerations on a Carrier Mechanism as a Model for Ion Accumulation.”Bull. Math. Biophysics,15, 161–65.

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  • Landahl, H. D. 1953. “An Approximation Method for the Solution of Diffusion and Related Problems.”Bull. Math. Biophysics,15, 49–61.

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  • Rashevsky, N. 1948.Mathematical Biophysics. Revised Edition. Chicago: University of Chicago Press.

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Authors and Affiliations

  1. Committee on Mathematical Biology, The University of Chicago, Chicago, USA

    H. D. Landahl & G. Karreman

Authors
  1. H. D. Landahl
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  2. G. Karreman
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Landahl, H.D., Karreman, G. Approximate treatment of the formation of a difference in the concentrations of an ion at the two sides of a membrane. Bulletin of Mathematical Biophysics 15, 167–171 (1953). https://doi.org/10.1007/BF02476382

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  • DOI: https://doi.org/10.1007/BF02476382

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