A nonlinear model of the dynamics of radial dislocations in microtubules
Apstrakt
We have established a new dynamical model of microtubules based on their intrinsic dipolar character. The model assumes a single angular degree of freedom per dimer describing the conformational displacements of constituent dimers in radial direction. A corresponding nonlinear dynamical equation of motion is solved both analytically, using the simplest equation method, and numerically. It is shown by both approaches that kink solitons could be elicited and sustained to propagate along the microtubule. We suggest that this model could explain some dynamical functional properties of microtubules, including the triggering of the onset of their depolymerization. (C) 2014 Elsevier Inc. All rights reserved.
Ključne reči:
Microtubule / Radial degree of freedom / Partial differential equation / Kink solitonIzvor:
Applied Mathematics and Computation, 2014, 237, 227-237Finansiranje / 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)
- Modeliranje i numeričke simulacije složenih višečestičnih sistema (RS-MESTD-Basic Research (BR or ON)-171017)
DOI: 10.1016/j.amc.2014.03.113
ISSN: 0096-3003; 1873-5649
WoS: 000335900000019
Scopus: 2-s2.0-84898958410
Kolekcije
Institucija/grupa
VinčaTY - JOUR AU - Zdravković, Slobodan AU - Satarić, Miljko V. AU - Maluckov, Aleksandra AU - Balaz, A. PY - 2014 UR - https://vinar.vin.bg.ac.rs/handle/123456789/5998 AB - We have established a new dynamical model of microtubules based on their intrinsic dipolar character. The model assumes a single angular degree of freedom per dimer describing the conformational displacements of constituent dimers in radial direction. A corresponding nonlinear dynamical equation of motion is solved both analytically, using the simplest equation method, and numerically. It is shown by both approaches that kink solitons could be elicited and sustained to propagate along the microtubule. We suggest that this model could explain some dynamical functional properties of microtubules, including the triggering of the onset of their depolymerization. (C) 2014 Elsevier Inc. All rights reserved. T2 - Applied Mathematics and Computation T1 - A nonlinear model of the dynamics of radial dislocations in microtubules VL - 237 SP - 227 EP - 237 DO - 10.1016/j.amc.2014.03.113 ER -
@article{ author = "Zdravković, Slobodan and Satarić, Miljko V. and Maluckov, Aleksandra and Balaz, A.", year = "2014", abstract = "We have established a new dynamical model of microtubules based on their intrinsic dipolar character. The model assumes a single angular degree of freedom per dimer describing the conformational displacements of constituent dimers in radial direction. A corresponding nonlinear dynamical equation of motion is solved both analytically, using the simplest equation method, and numerically. It is shown by both approaches that kink solitons could be elicited and sustained to propagate along the microtubule. We suggest that this model could explain some dynamical functional properties of microtubules, including the triggering of the onset of their depolymerization. (C) 2014 Elsevier Inc. All rights reserved.", journal = "Applied Mathematics and Computation", title = "A nonlinear model of the dynamics of radial dislocations in microtubules", volume = "237", pages = "227-237", doi = "10.1016/j.amc.2014.03.113" }
Zdravković, S., Satarić, M. V., Maluckov, A.,& Balaz, A.. (2014). A nonlinear model of the dynamics of radial dislocations in microtubules. in Applied Mathematics and Computation, 237, 227-237. https://doi.org/10.1016/j.amc.2014.03.113
Zdravković S, Satarić MV, Maluckov A, Balaz A. A nonlinear model of the dynamics of radial dislocations in microtubules. in Applied Mathematics and Computation. 2014;237:227-237. doi:10.1016/j.amc.2014.03.113 .
Zdravković, Slobodan, Satarić, Miljko V., Maluckov, Aleksandra, Balaz, A., "A nonlinear model of the dynamics of radial dislocations in microtubules" in Applied Mathematics and Computation, 237 (2014):227-237, https://doi.org/10.1016/j.amc.2014.03.113 . .