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.
TY - JOUR
AU - Ranković, Dragana
AU - Sivčević, Vladimir
AU - Batova, Anna
AU - Zdravković, Slobodan
PY - 2023
UR - https://farfar.pharmacy.bg.ac.rs/handle/123456789/4722
AB - 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.
PB - Elsevier
T2 - Chaos, Solitons & Fractals
T1 - Three kinds of W-potentials in nonlinear biophysics of microtubules
VL - 170
DO - 10.1016/j.chaos.2023.113345
ER -
@article{
author = "Ranković, Dragana and Sivčević, Vladimir and Batova, Anna and Zdravković, Slobodan",
year = "2023",
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.",
publisher = "Elsevier",
journal = "Chaos, Solitons & Fractals",
title = "Three kinds of W-potentials in nonlinear biophysics of microtubules",
volume = "170",
doi = "10.1016/j.chaos.2023.113345"
}
Ranković, D., Sivčević, V., Batova, A.,& Zdravković, S.. (2023). Three kinds of W-potentials in nonlinear biophysics of microtubules. in Chaos, Solitons & Fractals
Elsevier., 170, 113345.
https://doi.org/10.1016/j.chaos.2023.113345
Ranković D, Sivčević V, Batova A, Zdravković S. Three kinds of W-potentials in nonlinear biophysics of microtubules. in Chaos, Solitons & Fractals. 2023;170:113345.
doi:10.1016/j.chaos.2023.113345 .
Ranković, Dragana, Sivčević, Vladimir, Batova, Anna, Zdravković, Slobodan, "Three kinds of W-potentials in nonlinear biophysics of microtubules" in Chaos, Solitons & Fractals, 170 (2023):113345,
https://doi.org/10.1016/j.chaos.2023.113345 . .
