JINR, Dubna, Russian Federation, Ministry of Education and Science of Republic of Serbia: Theory of Condensed Matter Physics, Russian Foundation for Basic Research [16-02-00453a]

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JINR, Dubna, Russian Federation, Ministry of Education and Science of Republic of Serbia: Theory of Condensed Matter Physics, Russian Foundation for Basic Research [16-02-00453a]

Authors

Publications

Localized modulated waves and longitudinal model of microtubules

Zdravković, Slobodan; Zeković, Slobodan; Bugay, Aleksandr N.; Satarić, Miljko V.

(2016) 

TY  - JOUR
AU  - Zdravković, Slobodan
AU  - Zeković, Slobodan
AU  - Bugay, Aleksandr N.
AU  - Satarić, Miljko V.
PY  - 2016
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/1056
AB  - We here study nonlinear dynamics of microtubule (MT). A so-called u - model is explained in detail. A single longitudinal degree of freedom per MT subunits is assumed. It is known that a continuum approximation of a basic discrete dynamical equation of motion enables existence of kink and antikink solitons along MT. In this paper we use semi- discrete approximation for this equation and show that modulated solitonic waves could propagate as well. We suggest possible biological implications of these waves. Also, a detailed parameter analysis is performed. (C) 2016 Elsevier Inc. All rights reserved.
T2  - Applied Mathematics and Computation
T1  - Localized modulated waves and longitudinal model of microtubules
VL  - 285
SP  - 248
EP  - 259
DO  - 10.1016/j.amc.2016.03.019
ER  - 
@article{
author = "Zdravković, Slobodan and Zeković, Slobodan and Bugay, Aleksandr N. and Satarić, Miljko V.",
year = "2016",
abstract = "We here study nonlinear dynamics of microtubule (MT). A so-called u - model is explained in detail. A single longitudinal degree of freedom per MT subunits is assumed. It is known that a continuum approximation of a basic discrete dynamical equation of motion enables existence of kink and antikink solitons along MT. In this paper we use semi- discrete approximation for this equation and show that modulated solitonic waves could propagate as well. We suggest possible biological implications of these waves. Also, a detailed parameter analysis is performed. (C) 2016 Elsevier Inc. All rights reserved.",
journal = "Applied Mathematics and Computation",
title = "Localized modulated waves and longitudinal model of microtubules",
volume = "285",
pages = "248-259",
doi = "10.1016/j.amc.2016.03.019"
}
Zdravković, S., Zeković, S., Bugay, A. N.,& Satarić, M. V.. (2016). Localized modulated waves and longitudinal model of microtubules. in Applied Mathematics and Computation, 285, 248-259.
https://doi.org/10.1016/j.amc.2016.03.019
Zdravković S, Zeković S, Bugay AN, Satarić MV. Localized modulated waves and longitudinal model of microtubules. in Applied Mathematics and Computation. 2016;285:248-259.
doi:10.1016/j.amc.2016.03.019 .
Zdravković, Slobodan, Zeković, Slobodan, Bugay, Aleksandr N., Satarić, Miljko V., "Localized modulated waves and longitudinal model of microtubules" in Applied Mathematics and Computation, 285 (2016):248-259,
https://doi.org/10.1016/j.amc.2016.03.019 . .
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