Discrete impulses in ephaptically coupled nerve fibers

Journal article

Authors / Editors

Research Areas

No matching items found.

Publication Details

Author list: Maina I, Tabi CB, Fouda HPE, Mohamadou A, Kofane TC

Publisher: American Institute of Physics

Place: MELVILLE

Publication year: 2015

Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science (1054-1500)

Journal acronym: CHAOS

Volume number: 25

Issue number: 4

Number of pages: 10

ISSN: 1054-1500

eISSN: 1089-7682

Languages: English-Great Britain (EN-GB)

View in Web of Science | View on publisher site | View citing articles in Web of Science

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. (C) 2015 AIP Publishing LLC.

Keywords

No matching items found.

Documents

No matching items found.