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The conducted action potential. Models and comparison to experiments.

M K Walton, H A Fozzard

    Biophysical Journal
    |October 1, 1983
    PubMed
    Summary
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    Mathematical models clarify action potential propagation. Researchers found direct relationships between maximal upstroke velocity (Vmax) and peak inward ionic current (I/Cf), and conduction velocity, aiding understanding of nerve impulse transmission.

    Area of Science:

    • Biophysics
    • Computational Neuroscience
    • Electrophysiology

    Background:

    • Action potential propagation is crucial for neuronal communication.
    • The precise relationships between factors influencing nerve impulse conduction remain unclear.
    • Existing experimental data alone has limited ability to elucidate these complex relationships.

    Purpose of the Study:

    • To clarify the relationships among factors governing action potential conduction.
    • To establish model-independent quantitative relationships for nerve impulse transmission.
    • To investigate the concept of safety factor in action potential propagation.

    Main Methods:

    • Utilized three mathematical models of uniform cable conduction, including one novel model.
    • Simulated experimental action potential upstrokes using the derived models.

    Related Experiment Videos

  • Analyzed relationships between conduction measures derived from model simulations.

    • Main Results:

    • Established that maximal upstroke velocity (Vmax) is directly proportional to peak inward ionic current normalized by capacitance (I/Cf).
    • Demonstrated that conduction velocity is directly related to the square root of Vmax or I/Cf.
    • Validated these model-independent relationships against experimental data, revealing insights not discernible from experiments alone.

    Conclusions:

    • The study provides validated, model-independent quantitative relationships governing action potential conduction.
    • These findings enhance the understanding of nerve impulse transmission mechanisms.
    • A novel parameter potentially related to the safety factor of conduction was proposed.