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Torsional elastic deformations of microtubules within continuous sheet model
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Chelminiak, P., Dixon, J. M. and Tuszynski, J. A. (2010) Torsional elastic deformations of microtubules within continuous sheet model. European Physical Journal E. Soft Matter, Vol.31 (No.2). pp. 215-227. doi:10.1140/epje/i2010-10562-x ISSN 1292-8941.
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Official URL: http://dx.doi.org/10.1140/epje/i2010-10562-x
Abstract
This paper develops a rigorous analysis of the microtubule elastic deformations in terms of the torsional degrees of freedom using the helix-based cylindrical structure of this biopolymer. Methods of differential geometry and the theory of elasticity are employed in our analysis. We find equilibrium conditions and constitutive equations in the linear regime. We estimate the value of torsional rigidity for microtubules based on their structure and some experimentally known elastic properties. The paper concludes with the derivation of a bulk modulus formula for a microtubule in solution. Both the entropy change and the fluctuation of the twist angle are obtained.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QD Chemistry T Technology > TA Engineering (General). Civil engineering (General) Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Engineering > Engineering Faculty of Science, Engineering and Medicine > Science > Physics |
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Journal or Publication Title: | European Physical Journal E. Soft Matter | ||||
Publisher: | Springer | ||||
ISSN: | 1292-8941 | ||||
Official Date: | February 2010 | ||||
Dates: |
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Volume: | Vol.31 | ||||
Number: | No.2 | ||||
Number of Pages: | 13 | ||||
Page Range: | pp. 215-227 | ||||
DOI: | 10.1140/epje/i2010-10562-x | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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