芽泡极限形状的一般颈条件
General neck condition for the limit shape of budding vesicles
摘要：
推导了两相畴囊泡的形状方程和连接条件。我们完善了猜想的一般颈部条件的限制形状的萌芽囊泡提出的Jülicher和Lipowsky [物理。\textbf{70}，2964（1993）; Phys. Rev. \textbf{53}，2670（1996）]，然后我们利用形状方程和连接条件证明了这一猜想不仅对轴对称出芽囊泡成立，而且对非对称出芽囊泡也成立。我们的研究表明，平均曲率在任何一点上的膜段相邻的颈部满足一般的颈部条件的限制形状的出芽囊泡时，膜段的长度尺度是远远大于颈部的特征尺寸，但仍然远远小于特征尺寸的囊泡。
英文摘要：
The shape equation and linking conditions for a vesicle with two-phase domains are derived. We refine the conjecture on the general neck condition for the limit shape of a budding vesicle proposed by Jülicher and Lipowsky [Phys. Rev. Lett. \textbf{70}, 2964 (1993); Phys. Rev. E \textbf{53}, 2670 (1996)], and then we use the shape equation and linking conditions to prove that this conjecture holds not only for axisymmetric budding vesicles, but also for asymmetric ones. Our study reveals that the mean curvature at any point on the membrane segments adjacent to the neck satisfies the general neck condition for the limit shape of a budding vesicle when the length scale of the membrane segments is much larger than the characteristic size of the neck but still much smaller than the characteristic size of the vesicle.
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