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Diffusion models for the squid axon Schwann cell layer

R E Taylor, F Bezanilla, E Rojas

    Biophysical Journal
    |January 1, 1980
    PubMed
    Summary
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    Modeling diffusion barriers around squid giant axons reveals that clefts are rate-limiting for potassium loading and the unstirred layer is rate-limiting for sodium changes. External diffusion into clefts is not necessary for analysis.

    Area of Science:

    • Neuroscience
    • Biophysics
    • Computational Biology

    Background:

    • The squid giant axon is a model system for studying nerve impulse propagation.
    • Surrounding Schwann cells, basement membrane, and connective tissue form diffusion barriers.
    • Understanding these barriers is crucial for interpreting experimental results.

    Purpose of the Study:

    • To model diffusion barriers (Schwann cell, basement membrane, connective tissue) around the squid giant axon.
    • To analyze experimental data concerning ion and toxin concentrations and series resistance.
    • To determine the rate-limiting steps in diffusion processes.

    Main Methods:

    • Mathematical modeling of diffusion barriers.
    • Analysis of time-course experiments for potassium, sodium, tetrodotoxin (TTX), and saxitoxin (STX).

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  • Modeling of series resistance, including effects of F-H space and clefts.

    • Main Results:

    • External diffusion into clefts was not required for analysis.
    • For potassium concentration changes, clefts were rate-limiting; basement membrane and connective tissue were negligible.
    • For sodium concentration changes, the unstirred layer was rate-limiting; clefts were negligible.

    Conclusions:

    • Diffusion barriers around the squid giant axon can be simplified in models.
    • Clefts are rate-limiting for potassium diffusion, while the unstirred layer is rate-limiting for sodium diffusion.
    • Clefts can often be represented as an equivalent thin diffusion barrier.