TY  - JOUR
AU  - Ranković, Dragana
AU  - Sivčević, Vladimir
AU  - Batova, Anna
AU  - Zdravković, Slobodan
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10856
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.
T2  - Chaos, Solitons and Fractals
T1  - Three kinds of W-potentials in nonlinear biophysics of microtubules
VL  - 170
SP  - 113345
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.",
journal = "Chaos, Solitons and Fractals",
title = "Three kinds of W-potentials in nonlinear biophysics of microtubules",
volume = "170",
pages = "113345",
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 and Fractals, 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 and 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 and Fractals, 170 (2023):113345,
https://doi.org/10.1016/j.chaos.2023.113345 . .

TY  - JOUR
AU  - Ranković, Dragana
AU  - Zdravković, Slobodan
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10442
AB  - This work represents a contribution to modelling nonlinear dynamics of microtubules, the basic components of the eukaryotic cytoskeleton. Their dynamics can be explained in terms of kink and antikink solitary waves. Special attention was paid to the stability of solitonic solutions of differential equations describing the dynamics of microtubules. It is shown that subsonic solitons are stable, while supersonic ones are not.
T2  - Chaos, Solitons and Fractals
T1  - Two component model of microtubules – subsonic and supersonic solitary waves
VL  - 164
SP  - 112693
DO  - 10.1016/j.chaos.2022.112693
ER  - 

@article{
author = "Ranković, Dragana and Zdravković, Slobodan",
year = "2022",
abstract = "This work represents a contribution to modelling nonlinear dynamics of microtubules, the basic components of the eukaryotic cytoskeleton. Their dynamics can be explained in terms of kink and antikink solitary waves. Special attention was paid to the stability of solitonic solutions of differential equations describing the dynamics of microtubules. It is shown that subsonic solitons are stable, while supersonic ones are not.",
journal = "Chaos, Solitons and Fractals",
title = "Two component model of microtubules – subsonic and supersonic solitary waves",
volume = "164",
pages = "112693",
doi = "10.1016/j.chaos.2022.112693"
}

Ranković, D.,& Zdravković, S.. (2022). Two component model of microtubules – subsonic and supersonic solitary waves. in Chaos, Solitons and Fractals, 164, 112693.
https://doi.org/10.1016/j.chaos.2022.112693

Ranković D, Zdravković S. Two component model of microtubules – subsonic and supersonic solitary waves. in Chaos, Solitons and Fractals. 2022;164:112693.
doi:10.1016/j.chaos.2022.112693 .

Ranković, Dragana, Zdravković, Slobodan, "Two component model of microtubules – subsonic and supersonic solitary waves" in Chaos, Solitons and Fractals, 164 (2022):112693,
https://doi.org/10.1016/j.chaos.2022.112693 . .