Three kinds of W-potentials in nonlinear biophysics of microtubules

Dragana Ranković, Vladimir Sivčević, Anna Batova and Slobodan Zdravković

Chaos, Solitons & Fractals, 2023, vol. 170, issue C

Abstract: In the present article we investigate the nonlinear dynamics of microtubules, the basic components of the eukaryotic cytoskeleton, relying on the known general model. We introduce the W-potential energy, describing a crucial interaction among constitutive particles within the microtubule. Three kinds of this potential are studied, one symmetrical and two non-symmetrical. We demonstrate an advantage of the latter ones. Solutions of crucial differential equations are solitary waves. The stability of the solutions having physical sense is studied. We show that only subsonic solitary waves are stable, while supersonic ones are not.

Keywords: Microtubule; W-potential; Kink soliton; Stability (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923002461

DOI: 10.1016/j.chaos.2023.113345

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