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arXiv 1705.04423physics.bio-phcond-mat.soft
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高斯曲率决定了双层膜颈上自发曲率的分布

Gaussian curvature directs the distribution of spontaneous curvature on bilayer membrane necks

Morgan Chabanon, Padmini Rangamani

摘要:

膜颈的形成对于脂双层的分裂和融合至关重要。在这项工作中,我们试图回答以下基本问题:蛋白质诱导的自发平均曲率和高斯曲率在膜颈之间的关系是什么?使用增强的Helfrich模型的脂质双层,包括膜-蛋白质相互作用,我们解决的形状方程悬链找到满足机械平衡的膜颈的自发曲率的字段。在这种情况下,形状方程简化为一个变系数的亥姆霍兹方程的自发曲率,其中的源项是成比例的高斯曲率。我们展示了后者的数量是如何负责非均匀分布的自发曲率极小曲面。然后,我们探讨不同的自发曲率边界条件和几何不对称性的悬链的能量,以显示如何在自发曲率分布的异质性可以耦合高斯曲率,导致不同的几何形状的膜颈。

英文摘要:

Formation of membrane necks is crucial for fission and fusion in lipid bilayers. In this work, we seek to answer the following fundamental question: what is the relationship between protein-induced spontaneous mean curvature and the Gaussian curvature at a membrane neck? Using an augmented Helfrich model for lipid bilayers to include membrane-protein interaction, we solve the shape equation on catenoids to find the field of spontaneous curvature that satisfies mechanical equilibrium of membrane necks. In this case, the shape equation reduces to a variable coefficient Helmholtz equation for spontaneous curvature, where the source term is proportional to the Gaussian curvature. We show how this latter quantity is responsible for non-uniform distribution of spontaneous curvature in minimal surfaces. We then explore the energetics of catenoids with different spontaneous curvature boundary conditions and geometric asymmetries to show how heterogeneities in spontaneous curvature distribution can couple with Gaussian curvature to result in membrane necks of different geometries.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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