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Determination of diffusion and permeability coefficients in nerve trunks

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Abstract

A mathematical theory is developed which permits the determination of certain parameters of an inhomogenous tissue, such as a nerve trunk without its epineurium. The parameters are the permeability coefficients for entrance into an exit of a substance from the nerve fibers, and the diffusion coefficient of the interstitial material. The experimental data required are the dimensions of the cross-section, the average diameter of the fibers, and the ratio of the cross-sectional are of the fibers to the total cross-section, as well as the time course of the decrease of the fraction of the substance left in the nerve trunk, when the trunk is immersed in a bathing solution containing none of it.

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Literature

  • Doetsch, G. 1950.Handbuch der Laplace Transformation. Basel: Verlag Birkhäuser Basel.

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  • Opatowski, I. and G. W. Schmidt. 1952. “Determination of Diffusion and Permeability Coefficients in Muscle.”Bull. Math. Biophysics,14, 45–65.

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Authors and Affiliations

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

    George W. Schmidt

Authors
  1. George W. Schmidt
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Schmidt, G.W. Determination of diffusion and permeability coefficients in nerve trunks. Bulletin of Mathematical Biophysics 15, 489–500 (1953). https://doi.org/10.1007/BF02476437

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  • DOI: https://doi.org/10.1007/BF02476437

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