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A model of a myelinated nerve axon: threshold behaviour and propagation

โœ Scribed by P. Grindrod; B. D. Sleeman

Publisher
Springer
Year
1985
Tongue
English
Weight
669 KB
Volume
23
Category
Article
ISSN
0303-6812

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โœฆ Synopsis

A model of a myelinated nerve axon is developed on the basis of FitzHugh-Nagumo dynamics under the assumption that the nodes of Ranvier are of small but finite width. It is shown that a periodic excited state may not exist if the width of the nodes is too small and the leakage across the myelin sheath is too great. The propagation of a super threshold pulse is prevented in the absence of nodes. Global stability of the resting equilibrium state is investigated as well as the propagation of "wave front", type solutions.

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## Abstract In vitro models of myelinating central nervous system axons have mainly been of two types, organotypic or dissociated. In organotypic cultures, the tissue fragment is thick and usually requires sectioning (physically or optically) before visual examination. In dissociated cultures, tiss