Are microtubules discrete or continuum systems?
Нема приказа
Аутори
Zdravković, SlobodanMaluckov, Aleksandra
Dekić, Mirjana
Kuzmanović, Slavica
Satarić, Miljko V.
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
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.
Кључне речи:
Microtubule / Kink soliton / Method of factorization / Continuum approximationИзвор:
Applied Mathematics and Computation, 2014, 242, 353-360Финансирање / пројекти:
- Фотоника микро и нано структурних материјала (RS-45010)
- Утицај елементарних ексцитација и конформација на физичка својства нових материјала базираних на јако корелисаним нискодимензионалним системима (RS-171009)
DOI: 10.1016/j.amc.2014.05.068
ISSN: 0096-3003; 1873-5649
WoS: 000340563000032
Scopus: 2-s2.0-84902652335
Институција/група
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 . .