期刊
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
卷 60, 期 11, 页码 1941-1951出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jmps.2012.06.004
关键词
Buckling; Bio-filament; Thermal fluctuations; Force-extension relationship
资金
- Research Grants Council of the Hong Kong Special Administration Region [HKU 7148/10E]
- University Development Fund from the University of Hong Kong
- National Science Foundation [CMMI-1129172]
- Div Of Civil, Mechanical, & Manufact Inn
- Directorate For Engineering [1129172] Funding Source: National Science Foundation
We examine the force needed to extend/compress a bio-filament, a key issue in the study of cytoskeleton mechanics and polymer physics, by considering both the associated stretching and bending deformations. Specifically, closed form relationships are derived to predict the buckling of stiff filaments such as F-actin and microtubules. Our results clearly demonstrate that the maximum force a 2D filament can sustain is higher than the Euler buckling load whereas the force in a 3D filament is always below it, and hence clarify some of the ambiguities in the literature. In addition, analytical expression is also obtained to describe how the extensional force increases when a flexible molecule, like DNA, is stretched close to its contour length, which has been shown to fit a variety of experimental data very well. Our theory provides important corrections/improvements to several well-known existing models. (C) 2012 Elsevier Ltd. All rights reserved.
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