Kinks and Breathers in Nonlinear Dynamics of Microtubules
Apstrakt
Nonlinear dynamics of microtubules is studied. One radial degree of freedom per dimer is assumed and the used model is called phi - model. Four mathematical procedures yielding kink solitons are explained. In addition, semi discrete approximation is also explained and it is shown that this mathematical method brings about breathers moving along microtubules.
Ključne reči:
Nonlinear dynamics of microtubules / partial differential equations / ordinary differential equations / kink solitons / breathersIzvor:
AIP Conference Proceedings, 2014, 1618, 1021-1025Napomena:
- International Conference of Computational Methods in Sciences and Engineering 2014 (ICCMSE), Apr 04-07, 2014, Athens, Greece
DOI: 10.1063/1.4897908
ISSN: 0094-243X
WoS: 000346015200219
Scopus: 2-s2.0-84947544030
Kolekcije
Institucija/grupa
VinčaTY - CONF AU - Zdravković, Slobodan PY - 2014 UR - https://vinar.vin.bg.ac.rs/handle/123456789/7043 AB - Nonlinear dynamics of microtubules is studied. One radial degree of freedom per dimer is assumed and the used model is called phi - model. Four mathematical procedures yielding kink solitons are explained. In addition, semi discrete approximation is also explained and it is shown that this mathematical method brings about breathers moving along microtubules. C3 - AIP Conference Proceedings T1 - Kinks and Breathers in Nonlinear Dynamics of Microtubules VL - 1618 SP - 1021 EP - 1025 DO - 10.1063/1.4897908 ER -
@conference{ author = "Zdravković, Slobodan", year = "2014", abstract = "Nonlinear dynamics of microtubules is studied. One radial degree of freedom per dimer is assumed and the used model is called phi - model. Four mathematical procedures yielding kink solitons are explained. In addition, semi discrete approximation is also explained and it is shown that this mathematical method brings about breathers moving along microtubules.", journal = "AIP Conference Proceedings", title = "Kinks and Breathers in Nonlinear Dynamics of Microtubules", volume = "1618", pages = "1021-1025", doi = "10.1063/1.4897908" }
Zdravković, S.. (2014). Kinks and Breathers in Nonlinear Dynamics of Microtubules. in AIP Conference Proceedings, 1618, 1021-1025. https://doi.org/10.1063/1.4897908
Zdravković S. Kinks and Breathers in Nonlinear Dynamics of Microtubules. in AIP Conference Proceedings. 2014;1618:1021-1025. doi:10.1063/1.4897908 .
Zdravković, Slobodan, "Kinks and Breathers in Nonlinear Dynamics of Microtubules" in AIP Conference Proceedings, 1618 (2014):1021-1025, https://doi.org/10.1063/1.4897908 . .