Three kinds of W-potentials in nonlinear biophysics of microtubules
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-potentia / Kink soliton / StabilitySource:
Chaos, Solitons & Fractals, 2023, 170Publisher:
- Elsevier
Funding / projects:
- The JINR, Dubna, Russian Federation and Ministry of Education, Science and Technological Development of the Republic of Serbia
- Ministry of Education, Science and Technological Development, Republic of Serbia, Grant no. 200161 (University of Belgrade, Faculty of Pharmacy) (RS-200161)
Collections
Institution/Community
PharmacyTY - 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 . .