期刊
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES
卷 41, 期 2, 页码 213-219出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physe.2008.06.025
关键词
Cell mechanics; Microtubules; Flexural rigidity; Timoshenko-beam
资金
- Nanjing University of Aeronautics and Astronautics (NUAA)
- MoE
- NSF of China
- Jiangsu Province
Microtubules are characterized by extremely low shear modulus that is a few orders of magnitude lower than longitudinal modulus. In this paper, the effects of transverse shearing due to low shear modulus of microtubules are investigated using a Timoshenko-beam model, with detailed comparison between the Timoshenko-beam model, classical isotropic Euler-Bernoulli beam model and a more accurate 2D orthotropic elastic shell model. It is confirmed that transverse shearing is mainly responsible for the length-dependent flexural rigidity of an isolated microtubule reported in the literature, which cannot be explained by the widely used Euler-Bernoulli beam model. Indeed, the length-dependent flexural rigidity predicted by the Timoshenko-beam model is found to be in good quantitative agreement with known experimental data. In particular, the present Timoshenko-beam model predicts that, because of the length dependence of flexural rigidity, microtubules of different lengths could Sustain almost equal maximum axial compressive force against column buckling, a Conclusion that could have some interesting consequences to the mechanical behavior of cells. These results recommend that the Timoshenko-bearn model offers a unified simple I D model, which can capture the length dependence of flexural rigidity and be applied to various static and dynamic problems of microtubule mechanics. (C) 2008 Elsevier B.V. All rights reserved.
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