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

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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
Subjects:	Q Science > QD Chemistry T Technology > TA Engineering (General). Civil engineering (General) Q Science > QC Physics
Divisions:	Faculty of Science > Engineering Faculty of Science > Physics
Journal or Publication Title:	European Physical Journal E. Soft Matter
Publisher:	Springer
ISSN:	1292-8941
Official Date:	February 2010
Dates:	Date Event February 2010 Published
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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