Microphysical derivation of the Canham–Helfrich free-energy density |
| |
Authors: | Brian Seguin Eliot Fried |
| |
Institution: | 1. Department of Mathematics and Statistics, 805 Sherbrooke St. W., Montreal, QC, H3A 2K6, Canada 2. Department of Mechanical Engineering, 817 Sherbrooke St. W., Montreal, QC, H3A 0C3, Canada
|
| |
Abstract: | 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. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|