Nonlinear coupled mode excitations in microtubules

Journal article

Authors/Editors

Tabi, Condrad

Research Areas

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Publication Details

Author list: Tabi CB, Tankou E, Mohamadou A

Publisher: Elsevier

Place: OXFORD

Publication year: 2017

Journal: Chaos, Solitons and Fractals (0960-0779)

Journal acronym: CHAOS SOLITON FRACT

Volume number: 95

Start page: 187

End page: 194

Number of pages: 8

ISSN: 0960-0779

eISSN: 1873-2887

Languages: English-Great Britain (EN-GB)

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Abstract

The dynamics of coupled nonlinear waves is addressed in the framework of the angular model of micro tubules. The semi-discrete approximation is used to write the dynamics of the lower and upper cutoff modes in the form of coupled nonlinear Schrodinger equations. The linear stability analysis of modulational instability is used to confirm the existence of soliton solutions, and the growth-rate of instability is shown to be importantly influenced by the dipolar energy. Single mode solutions are found as breathers and resonant kink, while the coupled mode introduces a kink envelope solution, whose characteristics are discussed with respect to the dipolar energy. The found solution is shown to be robust, which is important for energy transport in the Polymerizationidepolymerization mechanism of protofilaments. (C) 2016 Elsevier Ltd. All rights reserved.

Keywords

Energy transport, Microtubules, solitons

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