论文标题
部分可观测时空混沌系统的无模型预测
The role of spontaneous curvature in the formation of cell membrane necks
论文作者
论文摘要
膜组成不均匀性的机械作用在类似于细胞膜的颈部形成的过程中分析。我们以自发曲率和表面张力是沿细胞膜的非均匀功能的流体膜的坎汉姆 - 赫尔夫里奇模型。不均匀的分布由平衡机械方程式确定，为了确定不均匀性的作用，我们专注于catenoid，catenoid，catenoid的表面为零均值曲率，可以用通过弧长参数的capenary曲线来描述。我们表明，自发曲率以及表面张力和径向弹性力都存在分析溶液。获得了颈部收缩力的分析表达。从能量分析中，可以发现，如果我们固定颈部限制性力的值，则解决方案集在两个由能量屏障隔开的分支上。该障碍对应于最大伴随的能量。相反，如果我们固定轴向力，则该溶液可以访问任何大小的catenoid
The mechanical effects of membrane compositional inhomogeneities are analyzed in a process analogous of neck formation in cellular membranes. We cast on the Canham-Helfrich model of fluid membranes with both the spontaneous curvature and the surface tension being non-homogeneous functions along the cell membrane. The inhomogeneous distribution is determined by the equilibrium mechanical equations, and, in order to establish the role played by the inhomogeneity, we focus on the catenoid, a surface of zero mean curvature, which can be described in terms of the catenary curve parameterized by arc length. We show that analytic solutions exist for the spontaneous curvature, as well as for both, the surface tension and the radial elastic force. An analytic expression for the constrictive force at the neck, is obtained. From the energetic analysis, it is found that, if we fix the value of the constrictive force at the neck, the set of solutions lies on two branches separated by an energetic barrier. This barrier corresponds to the energy of the maximum catenoid. If instead we fix the axial force, the solution has access to catenoid of any size
