Localized modulated waves and longitudinal model of microtubules

Slobodan Zdravković, Slobodan Zeković, Aleksandr N. Bugay and Miljko V. Satarić

Applied Mathematics and Computation, 2016, vol. 285, issue C, 248-259

Abstract: We here study nonlinear dynamics of microtubule (MT). A so-called u - model is explained in detail. A single longitudinal degree of freedom per MT subunits is assumed. It is known that a continuum approximation of a basic discrete dynamical equation of motion enables existence of kink and antikink solitons along MT. In this paper we use semi-discrete approximation for this equation and show that modulated solitonic waves could propagate as well. We suggest possible biological implications of these waves. Also, a detailed parameter analysis is performed.

Keywords: Microtubule; Semi-discrete approximation; Nonlinear Schrödinger equation; Localized modulated soliton (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:285:y:2016:i:c:p:248-259

DOI: 10.1016/j.amc.2016.03.019

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