Elasticity and stability of a helical filament with spontaneous curvatures and isotropic bending rigidity
學年 96
學期 1
出版（發表）日期 2007-12-10
作品名稱 Elasticity and stability of a helical filament with spontaneous curvatures and isotropic bending rigidity
作品名稱（其他語言）
著者 周子聰; Zhou, Zicong; Joós, Béla; Lai, Pik-yin; Young, Yuan-shin; Jan, Jeng-huei
單位 淡江大學物理學系
出版者 World Scientific Publishing
著錄名稱、卷期、頁數 Modern Physics Letters B 21(28), pp.1895-1913
摘要 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.
關鍵字 Elasticity;biopolymer;helix;filament
語言 en
ISSN 0217-9849
期刊性質 國內
收錄於
產學合作
通訊作者
審稿制度 否
國別 TWN
公開徵稿
出版型式 ,電子版
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