We present the multicomponent functionalized free energies that characterize the low-energy packings of amphiphilic molecules within a membrane through a correspondence to connecting orbits within a reduced dynamical system. To each connecting orbit we associate a manifold of low energy membrane-type configurations parameterized by a large class of admissible interfaces. The normal coercivity of the manifolds is established through criteria depending solely on the structure of the associated connecting orbit. We present a class of examples that arise naturally from geometric singular perturbation techniques, focusing on a model that characterizes the stabilizing role of cholesterol-like glycolipids within phospholipid membranes.

中文翻译：

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多组分膜的强大稳定性：糖脂的作用

我们提出了多组分功能化自由能，它通过与简化动力学系统内的连接轨道的对应关系来表征膜内两亲分子的低能堆积。对于每个连接轨道，我们关联了由一大类可允许接口参数化的低能量膜型配置的流形。流形的法向矫顽力通过标准建立，仅取决于相关连接轨道的结构。我们展示了一类由几何奇异扰动技术自然产生的例子，重点是一个模型，该模型表征了磷脂膜内胆固醇样糖脂的稳定作用。