发表机构
Technische Universität Dresden; Institut für Wissenschaftliches Rechnen, Technische Universität Dresden; Center for Systems Biology Dresden (CSBD); Cluster of Excellence Physics of Life (PoL), Technische Universität Dresden（德累斯顿工业大学; 德累斯顿大学科学计算研究所; 德累斯顿系统生物学中心; 德累斯顿大学生命物理卓越集群）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究将经典曲率弹性模型扩展至Beris--Edwards--Helfrich框架，显式考虑膜内液晶有序性，揭示其与形状演化及切向流动的耦合，并展示弹性参数对平衡形状的影响。
AI 中文摘要
针对流体脂质膜经典曲率弹性自由能最小化的动态方法，被扩展至Surface Beris--Edwards--Helfrich模型。该扩展显式处理了由脂质分子导致的膜液晶结构，这些脂质分子平均取向垂直于表面。局部变化的液晶有序性导致弯曲刚度和表面粘度的局部变化，从而影响形状演化。这提供了脂质层面局部膜力学与生物功能介观长度和时间尺度之间的多尺度耦合。模型基于Lagrange--d'Alembert原理推导。我们提供了一种在一常数近似下求解方程的数值算法，并展示了其对涌现平衡形状的影响，这些形状不仅依赖于指定的守恒表面积和封闭体积（如经典曲率弹性自由能），还依赖于弹性参数。探索动态演化揭示了切向流动、形状演化和液晶有序性之间的紧密耦合。我们进一步指出了向脂质相分离和不对称脂质双层扩展的可能性。
英文摘要
Dynamic approaches to minimize the classical curvature-elasticity free energy for a fluid lipid membrane, are extended towards a Surface Beris--Edwards--Helfrich model. This extension explicitly treats the liquid crystal structure of the membrane, which results from the lipid molecules, that are, on average, oriented normal to the surface. Locally varying liquid crystal order leads to local variations in bending rigidities and surface viscosity and thus influences the shape evolution. This provides a multiscale coupling between the local membrane mechanics on the level of the lipids and the mesoscopic length and time scales of biological functions. The model is derived using the Lagrange--d'Alembert principle. We provide a numerical algorithm to solve the equations in the one-constant approximation and demonstrate the impact on the emerging equilibrium shapes, which not only depend on the specified conserved surface area and enclosed volume, as for the classical curvature-elasticity free energy, but also the elastic parameter. Exploring the dynamic evolution shows a tight coupling of tangential flow, shape evolution and liquid crystalline order. We further point to extensions towards lipid phase separation and asymmetric lipid bilayers.
