TY  - 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 . .