On the Propagation of Electric Pulse along an Axon

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martin_g_abrahamyan
martin_g_abrahamyan
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Martin G. Abrahamyan
Martin G. Abrahamyan
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Yanina Ya. Marinosyan
Yanina Ya. Marinosyan

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GJCST Volume 21 Issue G1

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Considering longitudinal flow in the axon plasma and introducing the substantial derivative, a nonlinear differential equation describing signal propagation along with the axon fiber instead of the cable equation is established. In contrast to the cable equation, which gives solutions that distort the profile of the pulse, a nonlinear equation describes a traveling wave of an unchangeable profile. The speed of the electric pulse wave, w = 320√a m/s, changes proportionally to the square root of the axon fiber radius, a.

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No external funding was declared for this work.

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The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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martin_g_abrahamyan. 2021. \u201cOn the Propagation of Electric Pulse along an Axon\u201d. Global Journal of Computer Science and Technology - G: Interdisciplinary GJCST-G Volume 21 (GJCST Volume 21 Issue G1): .

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Crossref Journal DOI 10.17406/gjcst

Print ISSN 0975-4350

e-ISSN 0975-4172

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GJCST-G Classification: G.1.0
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v1.2

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May 19, 2021

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English

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Considering longitudinal flow in the axon plasma and introducing the substantial derivative, a nonlinear differential equation describing signal propagation along with the axon fiber instead of the cable equation is established. In contrast to the cable equation, which gives solutions that distort the profile of the pulse, a nonlinear equation describes a traveling wave of an unchangeable profile. The speed of the electric pulse wave, w = 320√a m/s, changes proportionally to the square root of the axon fiber radius, a.

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On the Propagation of Electric Pulse along an Axon

Martin G. Abrahamyan
Martin G. Abrahamyan
Yanina Ya. Marinosyan
Yanina Ya. Marinosyan

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