Potential and current distribution in nerve: The effect of the nerve sheath,the number of fibers,and the frequency of alternating current stimulation

The potential and current distribution in a nerve bundle is studied mathematically under various situations. Relations are derived expressing the effect of many fibers on the external potential, the value of the potential for a given nerve excitation pattern with and without the nerve sheath, the potential of a single fiber for a given outside potential pattern, and the effect of varying the frequency of alternating current stimulation. Results of the latter study are used to account for experimental deviations of the two-factor theory, and good agreement with the experimental results is found.