Are microtubules discrete or continuum systems?
Nema prikaza
Autori
Zdravković, SlobodanMaluckov, Aleksandra
Dekić, Mirjana
Kuzmanović, Slavica
Satarić, Miljko V.
Članak u časopisu (Objavljena verzija)
Metapodaci
Prikaz svih podataka o dokumentuApstrakt
In this paper we study nonlinear dynamics of microtubules (MTs) relying on so-called u-model. A crucial discrete differential equation is transformed into a partial differential equation using a continuum approximation. Both the continuum and the discrete equations are solved and an excellent agreement of the results shows that MTs can be viewed as continuum systems. Thus we proved that the continuum approximation is applicable in research of nonlinear dynamics of MTs. (C) 2014 Elsevier Inc. All rights reserved.
Ključne reči:
Microtubule / Kink soliton / Method of factorization / Continuum approximationIzvor:
Applied Mathematics and Computation, 2014, 242, 353-360Finansiranje / projekti:
- Fotonika mikro i nano strukturnih materijala (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45010)
- Uticaj elementarnih ekscitacija i konformacija na fizička svojstva novih materijala baziranih na jako korelisanim niskodimenzionalnim sistemima (RS-MESTD-Basic Research (BR or ON)-171009)
DOI: 10.1016/j.amc.2014.05.068
ISSN: 0096-3003; 1873-5649
WoS: 000340563000032
Scopus: 2-s2.0-84902652335
Institucija/grupa
VinčaTY - JOUR AU - Zdravković, Slobodan AU - Maluckov, Aleksandra AU - Dekić, Mirjana AU - Kuzmanović, Slavica AU - Satarić, Miljko V. PY - 2014 UR - https://vinar.vin.bg.ac.rs/handle/123456789/68 AB - In this paper we study nonlinear dynamics of microtubules (MTs) relying on so-called u-model. A crucial discrete differential equation is transformed into a partial differential equation using a continuum approximation. Both the continuum and the discrete equations are solved and an excellent agreement of the results shows that MTs can be viewed as continuum systems. Thus we proved that the continuum approximation is applicable in research of nonlinear dynamics of MTs. (C) 2014 Elsevier Inc. All rights reserved. T2 - Applied Mathematics and Computation T1 - Are microtubules discrete or continuum systems? VL - 242 SP - 353 EP - 360 DO - 10.1016/j.amc.2014.05.068 ER -
@article{ author = "Zdravković, Slobodan and Maluckov, Aleksandra and Dekić, Mirjana and Kuzmanović, Slavica and Satarić, Miljko V.", year = "2014", abstract = "In this paper we study nonlinear dynamics of microtubules (MTs) relying on so-called u-model. A crucial discrete differential equation is transformed into a partial differential equation using a continuum approximation. Both the continuum and the discrete equations are solved and an excellent agreement of the results shows that MTs can be viewed as continuum systems. Thus we proved that the continuum approximation is applicable in research of nonlinear dynamics of MTs. (C) 2014 Elsevier Inc. All rights reserved.", journal = "Applied Mathematics and Computation", title = "Are microtubules discrete or continuum systems?", volume = "242", pages = "353-360", doi = "10.1016/j.amc.2014.05.068" }
Zdravković, S., Maluckov, A., Dekić, M., Kuzmanović, S.,& Satarić, M. V.. (2014). Are microtubules discrete or continuum systems?. in Applied Mathematics and Computation, 242, 353-360. https://doi.org/10.1016/j.amc.2014.05.068
Zdravković S, Maluckov A, Dekić M, Kuzmanović S, Satarić MV. Are microtubules discrete or continuum systems?. in Applied Mathematics and Computation. 2014;242:353-360. doi:10.1016/j.amc.2014.05.068 .
Zdravković, Slobodan, Maluckov, Aleksandra, Dekić, Mirjana, Kuzmanović, Slavica, Satarić, Miljko V., "Are microtubules discrete or continuum systems?" in Applied Mathematics and Computation, 242 (2014):353-360, https://doi.org/10.1016/j.amc.2014.05.068 . .