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A mathematical study on effects of narrow gap width in myelinated nerve axons

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Abstract

A mathematical model of myelinated nerve axons is studied. The nodes of Ranvier are assumed to have a finite width δ. We discuss the propagation of the excited state and its failure by adopting δ and the length of the myelinated membrane as parameters, and show theoretically an advantage of suitably narrow width of the nodes of Ranvier for nerve propagation.

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Ikeda, T., Nagai, T. A mathematical study on effects of narrow gap width in myelinated nerve axons. Japan J. Indust. Appl. Math. 8, 297 (1991). https://doi.org/10.1007/BF03167684

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