Journal
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
Volume 52, Issue 2, Pages 329-333Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijmecsci.2009.09.038
Keywords
Actin filament; Cosserat continuum theory; Coupling behavior; Mismatched centroid; Helical structure; Molecular biomechanics
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A cytoskeletal actin filament with a spirally arranged centroid (a biopolymer with a double helical structure) exhibits mechanically interesting phenomena, such as tensile-twisting coupling behavior involved in the binding of actin-related proteins. To describe this mechanical behavior of the actin filament, we propose a Cosserat continuum model by focusing on the mismatch between the centroid and the center axis. We derive the equations of motion based on the variational principle and discuss the coupling behavior caused by the mismatch, which is responsible for interesting couplings between axial stretch and bending/twisting deformation. The proposed model can express the mechanical behavior of actin filaments with a spirally arranged centroid mismatched from its center axis, through which we can explore the fundamental filament-level mechanism of an actin cytoskeleton in relation to the mechanical regulation of biological functions. (C) 2009 Elsevier Ltd. All rights reserved.
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