Propagation of kink-antikink pair along microtubules as a control mechanism for polymerization and depolymerization processes
No Thumbnail
Authors
Kavitha, L.Muniyappan, A.
Zdravković, Slobodan
Satarić, Miljko V.
Marlewski, A.
Dhamayanthi, S.
Gopi, D.
Article (Published version)
Metadata
Show full item recordAbstract
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 Hirotas 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 equationsSource:
Chinese Physics B, 2014, 23, 9Funding / projects:
- Photonics of micro and nano structured materials (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45010)
- URF from Periyar University, India, UGC, NBHM, India, BRNS, India, ICTP, Italy
DOI: 10.1088/1674-1056/23/9/098703
ISSN: 1674-1056; 1741-4199
WoS: 000344057200099
Scopus: 2-s2.0-84990943348
Collections
Institution/Community
VinčaTY - JOUR AU - Kavitha, L. AU - Muniyappan, A. AU - Zdravković, Slobodan AU - Satarić, Miljko V. AU - Marlewski, A. AU - Dhamayanthi, S. AU - Gopi, D. PY - 2014 UR - https://vinar.vin.bg.ac.rs/handle/123456789/182 AB - 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 Hirotas 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. T2 - Chinese Physics B T1 - Propagation of kink-antikink pair along microtubules as a control mechanism for polymerization and depolymerization processes VL - 23 IS - 9 DO - 10.1088/1674-1056/23/9/098703 ER -
@article{ author = "Kavitha, L. and Muniyappan, A. and Zdravković, Slobodan and Satarić, Miljko V. and Marlewski, A. and Dhamayanthi, S. and Gopi, D.", year = "2014", 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 Hirotas 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.", journal = "Chinese Physics B", title = "Propagation of kink-antikink pair along microtubules as a control mechanism for polymerization and depolymerization processes", volume = "23", number = "9", doi = "10.1088/1674-1056/23/9/098703" }
Kavitha, L., Muniyappan, A., Zdravković, S., Satarić, M. V., Marlewski, A., Dhamayanthi, S.,& Gopi, D.. (2014). Propagation of kink-antikink pair along microtubules as a control mechanism for polymerization and depolymerization processes. in Chinese Physics B, 23(9). https://doi.org/10.1088/1674-1056/23/9/098703
Kavitha L, Muniyappan A, Zdravković S, Satarić MV, Marlewski A, Dhamayanthi S, Gopi D. Propagation of kink-antikink pair along microtubules as a control mechanism for polymerization and depolymerization processes. in Chinese Physics B. 2014;23(9). doi:10.1088/1674-1056/23/9/098703 .
Kavitha, L., Muniyappan, A., Zdravković, Slobodan, Satarić, Miljko V., Marlewski, A., Dhamayanthi, S., Gopi, D., "Propagation of kink-antikink pair along microtubules as a control mechanism for polymerization and depolymerization processes" in Chinese Physics B, 23, no. 9 (2014), https://doi.org/10.1088/1674-1056/23/9/098703 . .