Elasticity and stability of a helical filament with spontaneous curvatures and isotropic bending rigidity

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Title:	Elasticity and stability of a helical filament with spontaneous curvatures and isotropic bending rigidity
Authors:	周子聰;Zhou, Zicong;Joós, Béla;Lai, Pik-yin;Young, Yuan-shin;Jan, Jeng-huei
Contributors:	淡江大學物理學系
Keywords:	Elasticity;biopolymer;helix;filament
Date:	2007-12-10
Issue Date:	2009-12-31 10:37:45 (UTC+8)
Publisher:	World Scientific Publishing
Abstract:	We derive the shape equations in terms of Euler angles for a uniform elastic rod with isotropic bending rigidity and spontaneous curvature, and study within this model the elasticity and stability of a helical filament under uniaxial force and torque. We find that due to the special requirements on the boundary conditions, a static slightly distorted helix cannot exist in this system except in some special cases. We show analytically that the extension of a helix may undergo a one-step sharp transition. This agrees quantitatively with experimental observations for a stretched helix in a chemically-defined lipid concentrate (CDLC). We predict further that under twisting, the extension of a helix in CDLC may also exhibit similar behavior. We find that a negative twist tends to destabilize a helix.
Relation:	Modern Physics Letters B 21(28), pp.1895-1913
DOI:	10.1142/S0217984907014292
Appears in Collections:	[Graduate Institute & Department of Physics] Journal Article

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