Abstract
The general linear two-factor nerve-excitation theory of the type of Rashevsky and Hill is discussed and normal forms are derived. It is shown that in some cases these equations are not reducible to the Rashevsky form. Most notable is the case in which the solutions are damped periodic functions. It is shown that in this case one or more—in some cases infinitely many—discharges are predictable, following the application of a constant stimulusS. The number of discharges increases withS, but the frequency is a constant, characteristic of the fiber and independent ofS.
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Literature
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Householder, A.S. Studies in the mathematical theory of excitation. Bulletin of Mathematical Biophysics 1, 129–141 (1939). https://doi.org/10.1007/BF02478181
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DOI: https://doi.org/10.1007/BF02478181