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

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

中国物理B ›› 2014, Vol. 23 ›› Issue (9): 98703-098703.doi: 10.1088/1674-1056/23/9/098703

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

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

L. Kavitha^{a b}, A. Muniyappan^c, S. Zdravković^d, M. V. Satarić^e, A. Marlewski^f, S. Dhamayanthi^c, D. Gopi^{g h}

a Department of Physics, School of Basic and Applied Sciences, Central University of Tamilnadu (CUTN), Thiruvarur 610101, India;
b The Abdus Salam International Center for Theoretical Physics, Trieste, Italy;
c Department of Physics, Periyar University, Salem 636011, India;
d Institut za nuklearne nauke Vinca, Laboratorija za atomsku fiziku 040, Univerzitet u Beogradu, Postanski fah 522, 11001 Beograd, Serbia;
e Fakultet tehnickih nauka, Univerzitet u Novom Sadu, 21000 Novi Sad, Serbia;
f Institute of Mathematics, Poznan University of Technology, Piotrowo 3A, 60-965, Poznan, Poland;
g Center for Nanoscience and Nanotechnology, Periyar University, Salem 636011, India;
h Department of Chemistry, Periyar University, Salem 636011, India

收稿日期:2013-10-04 修回日期:2014-02-21 出版日期:2014-09-15 发布日期:2014-09-15
基金资助:
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.

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

L. Kavitha^{a b}, A. Muniyappan^c, S. Zdravković^d, M. V. Satarić^e, A. Marlewski^f, S. Dhamayanthi^c, D. Gopi^{g h}

a Department of Physics, School of Basic and Applied Sciences, Central University of Tamilnadu (CUTN), Thiruvarur 610101, India;
b The Abdus Salam International Center for Theoretical Physics, Trieste, Italy;
c Department of Physics, Periyar University, Salem 636011, India;
d Institut za nuklearne nauke Vinca, Laboratorija za atomsku fiziku 040, Univerzitet u Beogradu, Postanski fah 522, 11001 Beograd, Serbia;
e Fakultet tehnickih nauka, Univerzitet u Novom Sadu, 21000 Novi Sad, Serbia;
f Institute of Mathematics, Poznan University of Technology, Piotrowo 3A, 60-965, Poznan, Poland;
g Center for Nanoscience and Nanotechnology, Periyar University, Salem 636011, India;
h Department of Chemistry, Periyar University, Salem 636011, India

Received:2013-10-04 Revised:2014-02-21 Online:2014-09-15 Published:2014-09-15
Contact: L. Kavithaa E-mail:louiskavitha@yahoo.co.in
Supported by:
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.

摘要/Abstract

摘要： 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.

关键词: microtubules, solitons, solitary solutions, partial differential equations

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.

Key words: microtubules, solitons, solitary solutions, partial differential equations

中图分类号: (Filaments, microtubules, their networks, and supramolecular assemblies)

87.16.Ka

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)

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[J]. 中国物理B, 2014, 23(9): 98703-098703.

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

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

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