On the Propagation of Electric Pulse along an Axon

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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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On the Propagation of Electric Pulse along an Axon

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Abstract

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.

References

4 Cites in Article
  1. Helmut Barz,Almut Schreiber,Ulrich Barz (2020). Nerve impulse propagation: Mechanical wave model and HH model.
  2. Martin Abrahamyan (2015). Application of Physics in Medicine.
  3. Debanjan Das,Farhan Kamil,Karabi Biswas,Soumen Das (2013). Evaluation of single cell electrical parameters from bioimpedance of a cell suspension.
  4. Yihao Zhang,Anastasios Tzingounis,George Lykotrafitis (2019). Modeling of the axon plasma membrane structure and its effects on protein diffusion.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

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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Journal Specifications

Crossref Journal DOI 10.17406/gjcst

Print ISSN 0975-4350

e-ISSN 0975-4172

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GJCST-G Classification: G.1.0
Version of record

v1.2

Issue date

May 19, 2021

Language
en
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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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