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Please use this identifier to cite or link to this item: https://elib.bsu.by/handle/123456789/173902
Title: Nonlinear Dynamics of Microtubules
Authors: Zdravkovi´c, Slobodan
Maluckov, Aleksandra
Petrovi´c, Jovana
Zekovi´c, Slobodan
Kavitha, Louis
Satari´c, Miljko V.
Issue Date: 2012
Publisher: Minsk : Education and Upbringing
Citation: Nonlinear Phenomena in Complex Systems. - 2012. - Vol. 15, N 4. - P. 339-349
Abstract: Microtubule (MT) is a major cytoskeletal protein. Beside its mechanical role in cells it serves as a “road network” for motor proteins (kinesin and dynein) dragging di˙erent “cargos” such as vesicles and mitochondria to di˙erent sub-cellular locations. In this article we explain three models describing its nonlinear dynamics and we call them u, z and Á-model. Each of them assumes one degree of freedom per dimer. The u-model assumes an angular degree of freedom, while the used coordinate u is a projection of the top of the dimer on the direction of a protofilament (PF). As for the remaining two models, a radial and a longitudinal coordinates are used to describe displacements of the dimers. All the models bring about nonlinear di˙erential equations (NLDE). The solutions of these equations are kink solitons that we understand as signals for the protein to start moving along PF. In addition, one of the solutions of a discrete NLDE, describing the Á-model, is a bell-type soliton, which, we believe, has a profound biophysical meaning.
URI: http://elib.bsu.by/handle/123456789/173902
ISSN: 1561 - 4085
Appears in Collections:2012. Volume 15. Number 4

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