Microphysical derivation of the Canham-Helfrich free-energy density.
Microphysical derivation of the Canham-Helfrich free-energy density.
复制标题
Canham-Helfrich 自由能密度的微观物理推导。
DOI：
10.1007/s00285-013-0647-9
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发表时间：
2014
影响因子：
1.9
通讯作者：
Fried,Eliot
中科院分区：
文献类型：
--
作者：
Seguin,Brian;Fried,Eliot
脂质双分子层的Canham-Helfrich自由能密度已经引起了相当大的关注。除了平均曲率和高斯曲率之外，该自由能密度还涉及自发平均曲率，其包含关于脂质双层的优选的自然形状的信息。我们使用一个简单的微物理参数来推导出Canham-Helfrich自由能密度。我们的推导（1）为自发曲率主要源于双层小叶之间的不对称性这一常见论断提供了理由，（2）根据潜在势的导数简化了展曲和鞍展曲模量的表达式。
The Canham–Helfrich free-energy density for a lipid bilayer has drawn considerable attention. Aside from the mean and Gaussian curvatures, this free-energy density involves a spontaneous mean-curvature that encompasses information regarding the preferred, natural shape of the lipid bilayer. We use a straightforward microphysical argument to derive the Canham–Helfrich free-energy density. Our derivation (1) provides a justification for the common assertion that spontaneous curvature originates primarily from asymmetry between the leaflets comprising a bilayer and (2) furnishes expressions for the splay and saddle-splay moduli in terms of derivatives of the underlying potential.