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  - Zdravković, Slobodan
AU  - Sivčević, Vladimir
PY  - 2021
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/9893
AB  - In this work, we study nonlinear dynamics of microtubules. An important interaction among constitutive particles is modeled using W-potential. We compare a symmetric potential with two kinds of non-symmetric ones. An advantage of the latter ones is demonstrated. © 2021, Education and Upbringing Publishing. All rights reserved.
T2  - Nonlinear Phenomena in Complex Systems
T1  - Non-symmetrical w-potential in nonlinear biophysics of microtubules
VL  - 24
IS  - 2
SP  - 198
EP  - 202
DO  - 10.33581/1561-4085-2021-24-2-198-202
ER  - 

@article{
author = "Zdravković, Slobodan and Sivčević, Vladimir",
year = "2021",
abstract = "In this work, we study nonlinear dynamics of microtubules. An important interaction among constitutive particles is modeled using W-potential. We compare a symmetric potential with two kinds of non-symmetric ones. An advantage of the latter ones is demonstrated. © 2021, Education and Upbringing Publishing. All rights reserved.",
journal = "Nonlinear Phenomena in Complex Systems",
title = "Non-symmetrical w-potential in nonlinear biophysics of microtubules",
volume = "24",
number = "2",
pages = "198-202",
doi = "10.33581/1561-4085-2021-24-2-198-202"
}

Zdravković, S.,& Sivčević, V.. (2021). Non-symmetrical w-potential in nonlinear biophysics of microtubules. in Nonlinear Phenomena in Complex Systems, 24(2), 198-202.
https://doi.org/10.33581/1561-4085-2021-24-2-198-202

Zdravković S, Sivčević V. Non-symmetrical w-potential in nonlinear biophysics of microtubules. in Nonlinear Phenomena in Complex Systems. 2021;24(2):198-202.
doi:10.33581/1561-4085-2021-24-2-198-202 .

Zdravković, Slobodan, Sivčević, Vladimir, "Non-symmetrical w-potential in nonlinear biophysics of microtubules" in Nonlinear Phenomena in Complex Systems, 24, no. 2 (2021):198-202,
https://doi.org/10.33581/1561-4085-2021-24-2-198-202 . .

TY  - JOUR
AU  - Zdravković, Slobodan
AU  - Satarić, Miljko V.
AU  - Sivčević, Vladimir
PY  - 2018
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/7652
AB  - In the present work, we deal with nonlinear dynamics of microtubules. A new model, describing nonlinear dynamics of microtubules, is introduced. Its advantages over two existing models are demonstrated. We show that dynamics of microtubules can be explained in terms of kink solitons. Also, circumstances yielding to either subsonic or supersonic solitons are discussed.
T2  - Nonlinear Dynamics
T1  - General model of microtubules
VL  - 92
IS  - 2
SP  - 479
EP  - 486
DO  - 10.1007/s11071-018-4069-5
ER  - 

@article{
author = "Zdravković, Slobodan and Satarić, Miljko V. and Sivčević, Vladimir",
year = "2018",
abstract = "In the present work, we deal with nonlinear dynamics of microtubules. A new model, describing nonlinear dynamics of microtubules, is introduced. Its advantages over two existing models are demonstrated. We show that dynamics of microtubules can be explained in terms of kink solitons. Also, circumstances yielding to either subsonic or supersonic solitons are discussed.",
journal = "Nonlinear Dynamics",
title = "General model of microtubules",
volume = "92",
number = "2",
pages = "479-486",
doi = "10.1007/s11071-018-4069-5"
}

Zdravković, S., Satarić, M. V.,& Sivčević, V.. (2018). General model of microtubules. in Nonlinear Dynamics, 92(2), 479-486.
https://doi.org/10.1007/s11071-018-4069-5

Zdravković S, Satarić MV, Sivčević V. General model of microtubules. in Nonlinear Dynamics. 2018;92(2):479-486.
doi:10.1007/s11071-018-4069-5 .

Zdravković, Slobodan, Satarić, Miljko V., Sivčević, Vladimir, "General model of microtubules" in Nonlinear Dynamics, 92, no. 2 (2018):479-486,
https://doi.org/10.1007/s11071-018-4069-5 . .