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A mathematical model of a myelinated nerve fiber for analysis of impulse conduction mechanisms during the relative refractory period

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Abstract

It was shown by means of a mathematical model of a myelinated nerve fiber (Frankenhaeuser — Huxley) that an increase in threshold and decrease in the amplitude of the action potential (AP) during the relative refractory period are due mainly to sodium inactivation. The contribution of increased potassium permeability to these changes is small, for the chief component of the outgoing ionic current in the node of Ranvier is not the potassium current, but the leak current. Given the ratio between these currents the increase in threshold and graduation of the action potential in the node membrane are less marked than in the membrane of the squid giant axon. At the beginning of the relative refractory period the AP evoked by strong stimulation is conducted only to the next node. Later in the refractory period impulses are conducted incrementally, and the threshold for the spreading impulse is higher than the threshold for spike excitation in the stimulated node. Delay in impulse conduction between refractory nodes leads to the formation of a retrograde depolarization wave. The reasons for differences in the mechanisms of impulse conduction along unmyelinated and myelinated refractory fibers are discussed.

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Authors
  1. B. I. Khodorov
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  2. E. N. Timin
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  3. R. I. Grilikhes
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Additional information

Vishnevskii Institute of Surgery, Academy of Medical Sciences of the USSR, Moscow. Translated from Neirofiziologiya, Vol. 4, No. 2, pp. 201–207, March–April, 1972.

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Khodorov, B.I., Timin, E.N. & Grilikhes, R.I. A mathematical model of a myelinated nerve fiber for analysis of impulse conduction mechanisms during the relative refractory period. Neurophysiology 4, 152–157 (1972). https://doi.org/10.1007/BF01063421

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  • DOI: https://doi.org/10.1007/BF01063421

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