Nonlinear dynamics of microtubules -A longitudinal model
Abstract
In the present letter we describe a model of nonlinear dynamics of microtubules (MTs) assuming a single longitudinal degree of freedom per tubulin dimer. This is a longitudinal displacement of a dimer at a certain position with respect to the neighbouring one. A nonlinear partial differential equation, describing dimers dynamics within MT, is solved both analytically and numerically. It is shown that such a nonlinear model can lead to the existence of kink solitons moving along the MTs. The internal electrical field strength is calculated using two procedures and a perfect agreement between the results is demonstrated. This enabled the estimation of the total energy, kink velocity and kink width. To simplify the calculation of the total energy we stated and proved a useful auxiliary theorem. Copyright (C) EPLA, 2013
Source:
Europhysics Letters / EPL, 2013, 102, 3Funding / projects:
- Photonics of micro and nano structured materials (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45010)
- The influence of elementary excitations and conformations to physical properties of the new materials based on strongly correlated low-dimensional systems (RS-MESTD-Basic Research (BR or ON)-171009)
DOI: 10.1209/0295-5075/102/38002
ISSN: 0295-5075
WoS: 000319697000030
Scopus: 2-s2.0-84878414085
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VinčaTY - JOUR AU - Zdravković, Slobodan AU - Satarić, Miljko V. AU - Zeković, Slobodan PY - 2013 UR - https://vinar.vin.bg.ac.rs/handle/123456789/5528 AB - In the present letter we describe a model of nonlinear dynamics of microtubules (MTs) assuming a single longitudinal degree of freedom per tubulin dimer. This is a longitudinal displacement of a dimer at a certain position with respect to the neighbouring one. A nonlinear partial differential equation, describing dimers dynamics within MT, is solved both analytically and numerically. It is shown that such a nonlinear model can lead to the existence of kink solitons moving along the MTs. The internal electrical field strength is calculated using two procedures and a perfect agreement between the results is demonstrated. This enabled the estimation of the total energy, kink velocity and kink width. To simplify the calculation of the total energy we stated and proved a useful auxiliary theorem. Copyright (C) EPLA, 2013 T2 - Europhysics Letters / EPL T1 - Nonlinear dynamics of microtubules -A longitudinal model VL - 102 IS - 3 DO - 10.1209/0295-5075/102/38002 ER -
@article{ author = "Zdravković, Slobodan and Satarić, Miljko V. and Zeković, Slobodan", year = "2013", abstract = "In the present letter we describe a model of nonlinear dynamics of microtubules (MTs) assuming a single longitudinal degree of freedom per tubulin dimer. This is a longitudinal displacement of a dimer at a certain position with respect to the neighbouring one. A nonlinear partial differential equation, describing dimers dynamics within MT, is solved both analytically and numerically. It is shown that such a nonlinear model can lead to the existence of kink solitons moving along the MTs. The internal electrical field strength is calculated using two procedures and a perfect agreement between the results is demonstrated. This enabled the estimation of the total energy, kink velocity and kink width. To simplify the calculation of the total energy we stated and proved a useful auxiliary theorem. Copyright (C) EPLA, 2013", journal = "Europhysics Letters / EPL", title = "Nonlinear dynamics of microtubules -A longitudinal model", volume = "102", number = "3", doi = "10.1209/0295-5075/102/38002" }
Zdravković, S., Satarić, M. V.,& Zeković, S.. (2013). Nonlinear dynamics of microtubules -A longitudinal model. in Europhysics Letters / EPL, 102(3). https://doi.org/10.1209/0295-5075/102/38002
Zdravković S, Satarić MV, Zeković S. Nonlinear dynamics of microtubules -A longitudinal model. in Europhysics Letters / EPL. 2013;102(3). doi:10.1209/0295-5075/102/38002 .
Zdravković, Slobodan, Satarić, Miljko V., Zeković, Slobodan, "Nonlinear dynamics of microtubules -A longitudinal model" in Europhysics Letters / EPL, 102, no. 3 (2013), https://doi.org/10.1209/0295-5075/102/38002 . .