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On simultaneous determinations of the permeability of a membrane and of the diffusion coefficient in an adjacent medium

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Abstract

This paper deals with diffusion into a medium of finite thickness through a flat structure which can be considered either as a slice of tissue or as a membrane. Formulae are given to determine the diffusion coefficients in both the flat structure and the adjacent medium from the knowledge of the amount of substance penetrating the medium. The meaning of the formula: (permeability coefficient) = (diffusion coefficient)/(membrane thickness) and the experimentally observed variability of the permeability coefficient in the non-steady state are interpreted on the basis of the mathematical theory of diffusion.

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Authors and Affiliations

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

    I. Opatowski

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  1. I. Opatowski
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Opatowski, I. On simultaneous determinations of the permeability of a membrane and of the diffusion coefficient in an adjacent medium. Bulletin of Mathematical Biophysics 13, 119–132 (1951). https://doi.org/10.1007/BF02478358

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