Discrete impulses in ephaptically coupled nerve fibers

I. Maïna, C. B. Tabi, H. P. Ekobena Fouda, A. Mohamadou, T. C. Kofané

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

We exclusively analyze the condition for modulated waves to emerge in two ephaptically coupled nerve fibers. Through the multiple scale expansion, it is shown that a set of coupled cable-like Hodgkin-Huxley equations can be reduced to a single differential-difference nonlinear equation. The standard approach of linear stability analysis of a plane wave is used to predict regions of parameters where nonlinear structures can be observed. Instability features are shown to be importantly controlled not only by the ephaptic coupling parameter, but also by the discreteness parameter. Numerical simulations, to verify our analytical predictions, are performed, and we explore the longtime dynamics of slightly perturbed plane waves in the coupled nerve fibers. On initially exciting only one fiber, quasi-perfect interneuronal communication is discussed along with the possibility of recruiting damaged or non-myelinated nerve fibers, by myelinated ones, into conduction.

Original languageEnglish
Article number1.4919077
JournalChaos
Volume25
Issue number4
DOIs
Publication statusPublished - Apr 30 2015

Fingerprint

nerve fibers
Nerve
Impulse
impulses
Fiber
Fibers
plane waves
Plane Wave
Linear stability analysis
cables
nonlinear equations
Differential-difference Equations
Multiple Scales
Linear Stability Analysis
communication
Cable
Nonlinear equations
Conduction
conduction
Cables

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

Maïna, I., Tabi, C. B., Ekobena Fouda, H. P., Mohamadou, A., & Kofané, T. C. (2015). Discrete impulses in ephaptically coupled nerve fibers. Chaos, 25(4), [1.4919077]. https://doi.org/10.1063/1.4919077
Maïna, I. ; Tabi, C. B. ; Ekobena Fouda, H. P. ; Mohamadou, A. ; Kofané, T. C. / Discrete impulses in ephaptically coupled nerve fibers. In: Chaos. 2015 ; Vol. 25, No. 4.
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Maïna, I, Tabi, CB, Ekobena Fouda, HP, Mohamadou, A & Kofané, TC 2015, 'Discrete impulses in ephaptically coupled nerve fibers', Chaos, vol. 25, no. 4, 1.4919077. https://doi.org/10.1063/1.4919077

Discrete impulses in ephaptically coupled nerve fibers. / Maïna, I.; Tabi, C. B.; Ekobena Fouda, H. P.; Mohamadou, A.; Kofané, T. C.

In: Chaos, Vol. 25, No. 4, 1.4919077, 30.04.2015.

Research output: Contribution to journalArticle

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Maïna I, Tabi CB, Ekobena Fouda HP, Mohamadou A, Kofané TC. Discrete impulses in ephaptically coupled nerve fibers. Chaos. 2015 Apr 30;25(4). 1.4919077. https://doi.org/10.1063/1.4919077