论文标题
从弹性能量变化获得的脂质膜的局部应力和弹性特性
Local stress and elastic properties of lipid membranes obtained from elastic energy variation
论文作者
论文摘要
提供了一种理论和计算方法，用于计算脂质膜弹性参数，该参数克服了现有方法的困难，不仅可以应用于单组分，而且可以应用于多组分膜。结果表明，主要的弹性参数可以确定为应力训练矩相对于拉伸的衍生物。采用了更一般的全球不可压缩性假设，而不是局部的假设，这允许测量局部泊松比从应力曲线到各向同性环境压力的响应中的响应。在局部不可压缩性和二次能量法的情况下，建立了弯曲模量与高斯曲率模量之间的直接关系。
A theory and computational method are provided for the calculation of lipid membranes elastic parameters, which overcomes the difficulties of the existing approaches and can be applied not only to single-component but also to multi-component membranes. It is shown that the major elastic parameters can be determined as the derivatives of the stress-profile moments with respect to stretching. The more general assumption of the global incompressibility, instead of the local one, is employed, which allows the measurement of the local Poisson's ratio from the response of the stress profile to the isotropic ambient pressure. In the case of the local incompressibility and quadratic energy law, a direct relation between the bending modulus and Gaussian curvature modulus is established.
