论文标题
源自Helfrich Energy的“膜形式”方程的局部灵敏度分析
Local sensitivity analysis of the `Membrane shape equation' derived from the Helfrich energy
论文作者
论文摘要
Helfrich能量通常用于对膜力学中脂质双层的弹性弯曲能进行建模。可以通过将变异方法（最小化原理）应用于Helfrich Energy功能，并在轴对称框架中得到充分研究，从而获得了膜形状的某些几何特征的管理微分方程。但是，Helfrich Energy函数和所得的微分方程涉及许多参数，并且几乎没有解释文献中参数的选择，尤其是在功能中出现的“自发曲率”术语的选择方面。在本文中，我们介绍了使用特定模型系统的模拟对Helfrich的参数灵敏度的某些方面进行仔细的分析和数值研究，我们证明了我们的方案在膜囊泡中的球形芽和珍珠形状形成中的应用。
The Helfrich energy is commonly used to model the elastic bending energy of lipid bilayers in membrane mechanics. The governing differential equations for certain geometric characteristics of the shape of the membrane can be obtained by applying variational methods (minimization principles) to the Helfrich energy functional and are well-studied in the axisymmetric framework. However, the Helfrich energy functional and the resulting differential equations involve a number of parameters, and there is little explanation of the choice of parameters in the literature, particularly with respect to the choice of the "spontaneous curvature" term that appears in the functional. In this paper, we present a careful analytical and numerical study of certain aspects of parametric sensitivity of Helfrich's Using simulations of specific model systems, we demonstrate the application of our scheme to the formation of spherical buds and pearled shapes in membrane vesicles.
