The bulletin of mathematical biophysics

, Volume 15, Issue 4, pp 489–500 | Cite as

Determination of diffusion and permeability coefficients in nerve trunks

  • George W. Schmidt


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.


Permeability Coefficient Interstitial Space Legendre Polynomial Nerve Trunk Fiber Area 
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  3. Opatowski, I. and G. W. Schmidt. 1952. “Determination of Diffusion and Permeability Coefficients in Muscle.”Bull. Math. Biophysics,14, 45–65.MathSciNetGoogle Scholar
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Copyright information

© University of Chicago 1953

Authors and Affiliations

  • George W. Schmidt
    • 1
  1. 1.Committee on Mathematical BiologyThe University of ChicagoChicagoUSA

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