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Propagation of localized bending deformations in microtubules
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Tuszynski, J. A., Portet, S., Dixon, J. M., Nishino, M. and Yu-Lee, L. -Y. (2009) Propagation of localized bending deformations in microtubules. Journal of Computational and Theoretical Nanoscience, Vol.6 (No.3). pp. 525-532. doi:10.1166/jctn.2009.1064
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Official URL: http://dx.doi.org/10.1166/jctn.2009.1064
Abstract
At a macroscopic level of large bending motions, a continuum medium model is proposed describing a microtubule as an elastic rod. Compressional and shear deformations are excluded as less relevant biophysically. When the microtubule is subjected to a constant bending force, it is found that the dynamics of the angular deviation, with respect to the rectilinear configuration of the microtubule, is governed by a Sine-Gordon Equation. Particular analytical solutions of this equation are found which describe kink and anti-kink bending modes which may propagate at various subsonic speeds along the length of the microtubule. Kinetic energies of these modes are calculated for different propagation velocities and compared with thermal and ATP hydrolysis energies. Viscous damping is shown to be negligible for long microtubules and fast moving bending deformations.
| Item Type: | Journal Article | ||||
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| Subjects: | Q Science > QD Chemistry T Technology T Technology > TA Engineering (General). Civil engineering (General) Q Science > QC Physics |
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| Divisions: | Faculty of Science > Engineering Faculty of Science > Physics |
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| Journal or Publication Title: | Journal of Computational and Theoretical Nanoscience | ||||
| Publisher: | American Scientific Publishers | ||||
| ISSN: | 1546-1955 | ||||
| Official Date: | March 2009 | ||||
| Dates: |
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| Volume: | Vol.6 | ||||
| Number: | No.3 | ||||
| Number of Pages: | 8 | ||||
| Page Range: | pp. 525-532 | ||||
| DOI: | 10.1166/jctn.2009.1064 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
Data sourced from Thomson Reuters' Web of Knowledge
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