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Localized modulated waves and longitudinal model of microtubules
| dc.creator | Zdravković, Slobodan | |
| dc.creator | Zeković, Slobodan | |
| dc.creator | Bugay, Aleksandr N. | |
| dc.creator | Satarić, Miljko V. | |
| dc.date.accessioned | 2018-03-01T16:52:17Z | |
| dc.date.available | 2018-03-01T16:52:17Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.issn | 1873-5649 | |
| dc.identifier.uri | https://vinar.vin.bg.ac.rs/handle/123456789/1056 | |
| dc.description.abstract | We here study nonlinear dynamics of microtubule (MT). A so-called u - model is explained in detail. A single longitudinal degree of freedom per MT subunits is assumed. It is known that a continuum approximation of a basic discrete dynamical equation of motion enables existence of kink and antikink solitons along MT. In this paper we use semi- discrete approximation for this equation and show that modulated solitonic waves could propagate as well. We suggest possible biological implications of these waves. Also, a detailed parameter analysis is performed. (C) 2016 Elsevier Inc. All rights reserved. | en |
| dc.relation | info:eu-repo/grantAgreement/MESTD/Integrated and Interdisciplinary Research (IIR or III)/45010/RS// | |
| dc.relation | info:eu-repo/grantAgreement/MESTD/Basic Research (BR or ON)/171009/RS// | |
| dc.relation | JINR, Dubna, Russian Federation, Ministry of Education and Science of Republic of Serbia: Theory of Condensed Matter Physics, Russian Foundation for Basic Research [16-02-00453a] | |
| dc.rights | restrictedAccess | en |
| dc.source | Applied Mathematics and Computation | en |
| dc.subject | Microtubule | en |
| dc.subject | Semi-discrete approximation | en |
| dc.subject | Nonlinear Schrodinger equation | en |
| dc.subject | Localized modulated soliton | en |
| dc.title | Localized modulated waves and longitudinal model of microtubules | en |
| dc.type | article | en |
| dc.rights.license | ARR | |
| dcterms.abstract | Сатариц, Миљко В.; Здравковић Слободан; Бугаy, Aлександр Н.; Зековиц, Слободан; | |
| dc.citation.volume | 285 | |
| dc.citation.spage | 248 | |
| dc.citation.epage | 259 | |
| dc.identifier.wos | 000375403400020 | |
| dc.identifier.doi | 10.1016/j.amc.2016.03.019 | |
| dc.citation.rank | M21 | |
| dc.type.version | publishedVersion | |
| dc.identifier.scopus | 2-s2.0-84963795306 |
