Two-component model of a microtubule in a semi-discrete approximation

Slobodan Zdravković, Aleksandr N. Bugay, Slobodan Zeković, Dragana Ranković and Jovana Petrović

Chaos, Solitons & Fractals, 2024, vol. 189, issue P1

Abstract: In the present work, we study the nonlinear dynamics of a microtubule, an important part of the cytoskeleton. We use a two-component model of the relevant system. A crucial nonlinear differential equation is solved with semi-discrete approximation, yielding some localized modulated solitary waves called the breathers. A detailed estimation of the existing parameters is provided. The numerical investigation shows that the solutions are robust only if the carrier velocity of the breather wave is higher than its envelope velocity. That disproves the previously accepted solutions based on the equality of these velocities.

Keywords: Nonlinear dynamics of microtubules; Two-component model; Modulated solitary wave; Carrier and envelope velocities (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924011755

DOI: 10.1016/j.chaos.2024.115623

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