TY  - JOUR
AU  - Zdravković, Slobodan
AU  - Kavitha, Louis
AU  - Satarić, Miljko V.
AU  - Zeković, Slobodan
AU  - Petrović, Jovana S.
PY  - 2012
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/5157
AB  - We here present a model of nonlinear dynamics of microtubules (MT) in the context of modified extended tanh-function (METHF) method. We rely on the ferroelectric model of MTs published earlier by Sataric et al. [1] where the motion of MT subunits is reduced to a single longitudinal degree of freedom per dimer. It is shown that such nonlinear model can lead to existence of kink solitons moving along the MTs. An analytical solution of the basic equation, describing MT dynamics, was compared with the numerical one and a perfect agreement was demonstrated. It is now clearer how the values of the basic parameters of the model, proportional to viscosity and internal electric field, impact MT dynamics. Finally, we offer a possible scenario of how living cells utilize these kinks as signaling tools for regulation of cellular traffic as well as MT depolymerisation. (C) 2012 Elsevier Ltd. All rights reserved.
T2  - Chaos, Solitons and Fractals
T1  - Modified extended tanh-function method and nonlinear dynamics of microtubules
VL  - 45
IS  - 11
SP  - 1378
EP  - 1386
DO  - 10.1016/j.chaos.2012.07.009
ER  - 

@article{
author = "Zdravković, Slobodan and Kavitha, Louis and Satarić, Miljko V. and Zeković, Slobodan and Petrović, Jovana S.",
year = "2012",
abstract = "We here present a model of nonlinear dynamics of microtubules (MT) in the context of modified extended tanh-function (METHF) method. We rely on the ferroelectric model of MTs published earlier by Sataric et al. [1] where the motion of MT subunits is reduced to a single longitudinal degree of freedom per dimer. It is shown that such nonlinear model can lead to existence of kink solitons moving along the MTs. An analytical solution of the basic equation, describing MT dynamics, was compared with the numerical one and a perfect agreement was demonstrated. It is now clearer how the values of the basic parameters of the model, proportional to viscosity and internal electric field, impact MT dynamics. Finally, we offer a possible scenario of how living cells utilize these kinks as signaling tools for regulation of cellular traffic as well as MT depolymerisation. (C) 2012 Elsevier Ltd. All rights reserved.",
journal = "Chaos, Solitons and Fractals",
title = "Modified extended tanh-function method and nonlinear dynamics of microtubules",
volume = "45",
number = "11",
pages = "1378-1386",
doi = "10.1016/j.chaos.2012.07.009"
}

Zdravković, S., Kavitha, L., Satarić, M. V., Zeković, S.,& Petrović, J. S.. (2012). Modified extended tanh-function method and nonlinear dynamics of microtubules. in Chaos, Solitons and Fractals, 45(11), 1378-1386.
https://doi.org/10.1016/j.chaos.2012.07.009

Zdravković S, Kavitha L, Satarić MV, Zeković S, Petrović JS. Modified extended tanh-function method and nonlinear dynamics of microtubules. in Chaos, Solitons and Fractals. 2012;45(11):1378-1386.
doi:10.1016/j.chaos.2012.07.009 .

Zdravković, Slobodan, Kavitha, Louis, Satarić, Miljko V., Zeković, Slobodan, Petrović, Jovana S., "Modified extended tanh-function method and nonlinear dynamics of microtubules" in Chaos, Solitons and Fractals, 45, no. 11 (2012):1378-1386,
https://doi.org/10.1016/j.chaos.2012.07.009 . .