Nonlinear dynamics of microtubules and series expansion unknown function method
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2017
Članak u časopisu (Objavljena verzija)
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Microtubules (MTs) are the most important part of cytoskeleton. In this paper we deal with two basic nonlinear differential equations coming from the two known models describing nonlinear dynamics of MTs. These equations are solved using the series expansion unknown function method (SEUFM). Trying to recognize the most general mathematical procedure for solving these equations the solutions are compared with those obtained earlier using the tangent hyperbolic function method (THFM) and the simplest equation method (SEM). In all these three approaches we express the solutions of these equations as series expansions. In the cases of THFM and SEM the functions existing in the series are known while SEUFM assumes unknown function.
Ključne reči:
Microtubules / Partial differential equation / Series expansion unknown function method / Kink solitonsIzvor:
Chinese Journal of Physics, 2017, 55, 6, 2400-2406Finansiranje / projekti:
- Fotonika mikro i nano strukturnih materijala (RS-45010)
DOI: 10.1016/j.cjph.2017.10.009
ISSN: 0577-9073
WoS: 000417153600025
Scopus: 2-s2.0-85037050553
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Institucija/grupa
VinčaTY - JOUR AU - Zdravković, Slobodan AU - Zeković, Slobodan PY - 2017 UR - https://vinar.vin.bg.ac.rs/handle/123456789/1856 AB - Microtubules (MTs) are the most important part of cytoskeleton. In this paper we deal with two basic nonlinear differential equations coming from the two known models describing nonlinear dynamics of MTs. These equations are solved using the series expansion unknown function method (SEUFM). Trying to recognize the most general mathematical procedure for solving these equations the solutions are compared with those obtained earlier using the tangent hyperbolic function method (THFM) and the simplest equation method (SEM). In all these three approaches we express the solutions of these equations as series expansions. In the cases of THFM and SEM the functions existing in the series are known while SEUFM assumes unknown function. T2 - Chinese Journal of Physics T1 - Nonlinear dynamics of microtubules and series expansion unknown function method VL - 55 IS - 6 SP - 2400 EP - 2406 DO - 10.1016/j.cjph.2017.10.009 ER -
@article{ author = "Zdravković, Slobodan and Zeković, Slobodan", year = "2017", abstract = "Microtubules (MTs) are the most important part of cytoskeleton. In this paper we deal with two basic nonlinear differential equations coming from the two known models describing nonlinear dynamics of MTs. These equations are solved using the series expansion unknown function method (SEUFM). Trying to recognize the most general mathematical procedure for solving these equations the solutions are compared with those obtained earlier using the tangent hyperbolic function method (THFM) and the simplest equation method (SEM). In all these three approaches we express the solutions of these equations as series expansions. In the cases of THFM and SEM the functions existing in the series are known while SEUFM assumes unknown function.", journal = "Chinese Journal of Physics", title = "Nonlinear dynamics of microtubules and series expansion unknown function method", volume = "55", number = "6", pages = "2400-2406", doi = "10.1016/j.cjph.2017.10.009" }
Zdravković, S.,& Zeković, S.. (2017). Nonlinear dynamics of microtubules and series expansion unknown function method. in Chinese Journal of Physics, 55(6), 2400-2406. https://doi.org/10.1016/j.cjph.2017.10.009
Zdravković S, Zeković S. Nonlinear dynamics of microtubules and series expansion unknown function method. in Chinese Journal of Physics. 2017;55(6):2400-2406. doi:10.1016/j.cjph.2017.10.009 .
Zdravković, Slobodan, Zeković, Slobodan, "Nonlinear dynamics of microtubules and series expansion unknown function method" in Chinese Journal of Physics, 55, no. 6 (2017):2400-2406, https://doi.org/10.1016/j.cjph.2017.10.009 . .