Propagation of kink-antikink pair along microtubules as a control mechanism for polymerization and depolymerization processes

doi:10.1088/1674-1056/23/9/098703

Abstract Among many types of proteinaceous filaments, microtubules (MTs) constitute the most rigid components of the cellular cytoskeleton. Microtubule dynamics is essential for many vital cellular processes such as intracellular transport, metabolism, and cell division. We investigate the nonlinear dynamics of inhomogeneous microtubulin systems and the MT dynamics is found to be governed by a perturbed sine-Gordon equation. In the presence of various competing nonlinear inhomogeneities, it is shown that this nonlinear model can lead to the existence of kink and antikink solitons moving along MTs. We demonstrate kink-antikink pair collision in the framework of Hirota's bilinearization method. We conjecture that the collisions of the quanta of energy propagating in the form of kinks and antikinks may offer a new view of the mechanism of the retrograde and anterograde transport direction regulation of motor proteins in microtubulin systems.

Keywords: microtubules solitons solitary solutions partial differential equations

Received: 04 October 2013
Revised: 21 February 2014
Accepted manuscript online:

PACS:	87.16.Ka	(Filaments, microtubules, their networks, and supramolecular assemblies)
	03.75.Lm	(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
	04.20.Jb	(Exact solutions)
	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)

Fund: Project supported by the Serbian Ministry of Education and Sciences (Grant No. III45010), the URF from Periyar University, India, the research award of UGC, the major research project of NBHM, India, the Young Scientist Research Award of BRNS, India, the Junior Associateship of ICTP, Italy, and the Rajiv Gandhi National Fellowship of UGC.

Corresponding Authors: L. Kavithaa
E-mail: louiskavitha@yahoo.co.in

Cite this article:

L. Kavitha, A. Muniyappan, S. Zdravković, M. V. Satarić, A. Marlewski, S. Dhamayanthi, D. Gopi Propagation of kink-antikink pair along microtubules as a control mechanism for polymerization and depolymerization processes 2014 Chin. Phys. B 23 098703

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Propagation of kink-antikink pair along microtubules as a control mechanism for polymerization and depolymerization processes

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