Kinks and bell-type solitons in microtubules
Abstract
In the present paper, we study the nonlinear dynamics of microtubules relying on the known u-model. As a mathematical procedure, we use the simplest equation method. We recover some solutions obtained earlier using less general methods. These are kink solitons. In addition, we show that the solution of the crucial differential equation, describing nonlinear dynamics of microtubules, can be a bell-type soliton. The discovery of this new solution is supported by numerical analysis. Published by AIP Publishing.
Source:
Chaos, 2016, 26, 6Funding / projects:
- Photonics of micro and nano structured materials (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45010)
DOI: 10.1063/1.4953011
ISSN: 1054-1500; 1089-7682
PubMed: 27368766
WoS: 000379163100001
Scopus: 2-s2.0-84973131072
Collections
Institution/Community
VinčaTY - JOUR AU - Zdravković, Slobodan AU - Gligorić, Goran PY - 2016 UR - https://vinar.vin.bg.ac.rs/handle/123456789/1161 AB - In the present paper, we study the nonlinear dynamics of microtubules relying on the known u-model. As a mathematical procedure, we use the simplest equation method. We recover some solutions obtained earlier using less general methods. These are kink solitons. In addition, we show that the solution of the crucial differential equation, describing nonlinear dynamics of microtubules, can be a bell-type soliton. The discovery of this new solution is supported by numerical analysis. Published by AIP Publishing. T2 - Chaos T1 - Kinks and bell-type solitons in microtubules VL - 26 IS - 6 DO - 10.1063/1.4953011 ER -
@article{ author = "Zdravković, Slobodan and Gligorić, Goran", year = "2016", abstract = "In the present paper, we study the nonlinear dynamics of microtubules relying on the known u-model. As a mathematical procedure, we use the simplest equation method. We recover some solutions obtained earlier using less general methods. These are kink solitons. In addition, we show that the solution of the crucial differential equation, describing nonlinear dynamics of microtubules, can be a bell-type soliton. The discovery of this new solution is supported by numerical analysis. Published by AIP Publishing.", journal = "Chaos", title = "Kinks and bell-type solitons in microtubules", volume = "26", number = "6", doi = "10.1063/1.4953011" }
Zdravković, S.,& Gligorić, G.. (2016). Kinks and bell-type solitons in microtubules. in Chaos, 26(6). https://doi.org/10.1063/1.4953011
Zdravković S, Gligorić G. Kinks and bell-type solitons in microtubules. in Chaos. 2016;26(6). doi:10.1063/1.4953011 .
Zdravković, Slobodan, Gligorić, Goran, "Kinks and bell-type solitons in microtubules" in Chaos, 26, no. 6 (2016), https://doi.org/10.1063/1.4953011 . .