Cooperation Agreement between the JINR, Dubna, Russian Federation and Ministry of Education, Science and Technological Development of the Republic of Serbia [Theory of Condensed Matter Physics]

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Cooperation Agreement between the JINR, Dubna, Russian Federation and Ministry of Education, Science and Technological Development of the Republic of Serbia [Theory of Condensed Matter Physics]

Authors

Publications

Two component model of microtubules and continuum approximation

Zdravković, Slobodan; Zeković, Slobodan; Bugay, Aleksandr Nikolaevich; Petrović, Jovana S.

(2021) 

TY  - JOUR
AU  - Zdravković, Slobodan
AU  - Zeković, Slobodan
AU  - Bugay, Aleksandr Nikolaevich
AU  - Petrović, Jovana S.
PY  - 2021
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9918
AB  - In the present work, we study the nonlinear dynamics of microtubules, the basic components of the eukaryotic cytoskeleton. We introduce a two-component model describing tangential oscillations of dimers. A crucial nonlinear differential equation is solved using continuum approximation. We show that the dynamics of microtubules can be explained in terms of kink and antikink solitary waves. We used two mathematical procedures, that is the tangent hyperbolic function method and, more general, the simplest equation method. It is shown that both procedures bring about equal solutions. © 2021
T2  - Chaos, Solitons and Fractals
T1  - Two component model of microtubules and continuum approximation
VL  - 152
SP  - 111352
DO  - 10.1016/j.chaos.2021.111352
ER  - 
@article{
author = "Zdravković, Slobodan and Zeković, Slobodan and Bugay, Aleksandr Nikolaevich and Petrović, Jovana S.",
year = "2021",
abstract = "In the present work, we study the nonlinear dynamics of microtubules, the basic components of the eukaryotic cytoskeleton. We introduce a two-component model describing tangential oscillations of dimers. A crucial nonlinear differential equation is solved using continuum approximation. We show that the dynamics of microtubules can be explained in terms of kink and antikink solitary waves. We used two mathematical procedures, that is the tangent hyperbolic function method and, more general, the simplest equation method. It is shown that both procedures bring about equal solutions. © 2021",
journal = "Chaos, Solitons and Fractals",
title = "Two component model of microtubules and continuum approximation",
volume = "152",
pages = "111352",
doi = "10.1016/j.chaos.2021.111352"
}
Zdravković, S., Zeković, S., Bugay, A. N.,& Petrović, J. S.. (2021). Two component model of microtubules and continuum approximation. in Chaos, Solitons and Fractals, 152, 111352.
https://doi.org/10.1016/j.chaos.2021.111352
Zdravković S, Zeković S, Bugay AN, Petrović JS. Two component model of microtubules and continuum approximation. in Chaos, Solitons and Fractals. 2021;152:111352.
doi:10.1016/j.chaos.2021.111352 .
Zdravković, Slobodan, Zeković, Slobodan, Bugay, Aleksandr Nikolaevich, Petrović, Jovana S., "Two component model of microtubules and continuum approximation" in Chaos, Solitons and Fractals, 152 (2021):111352,
https://doi.org/10.1016/j.chaos.2021.111352 . .
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