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

作　　者：L.Kavitha A.Muniyappan S.Zdravkovi M.V.Satari A.Marlewski S.Dhamayanthi D.Gopi 

机构地区：[1]Department of Physics,School of Basic and Applied Sciences,Central University of Tamilnadu (CUTN) [2]The Abdus Salam International Center for Theoretical Physics [3]Department of Physics,Periyar University [4]Institut za nuklearne nauke Vinca,Laboratorija za atomsku fiziku 040,Univerzitet u Beogradu [5]Fakultet tehnickih nauka,Univerzitet u Novom Sadu [6]Institute of Mathematics,Poznan University of Technology [7]Center for Nanoscience and Nanotechnology,Periyar University [8]Department of Chemistry,Periyar University

出　　处：《Chinese Physics B》2014年第9期556-570,共15页中国物理B（英文版）

基　　金：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;the Rajiv Gandhi National Fellowship of UGC

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.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 

分 类 号：Q245[生物学—细胞生物学]