A self-consistent theory of non-specific and specific interactions of membranes and vesicles with hard, soft polymeric, and fluctuating substrates

我们的目的是为波动的脂膜和囊泡与不同类型的底物相互作用的黏附和去黏附问题提供一个定量的理论框架。这将通过构建一个关于相互作用有效势的自洽理论来实现，该理论包括使直接相互作用重新正规化的温度相关涨落。对于囊泡，必须确定张力、几何约束和形状之间的关系。我们将考虑与(I)表现出复杂的直接相互作用的硬衬底的相互作用(Ii)类似于厚聚合物层的软可压缩衬底，(Iii)由用弹性弹簧阵列连接到另一膜上的浮动双层组成的衬底，以及(Iv)弹性浮动衬底。使用有效粘附力或排斥力的概念，我们将考虑系综和单键的统计性质，对离散相互作用进行建模。与目前进行相关测量的几个小组直接合作，将能够与适当的实验数据进行比较。

Our aim is to provide a quantitative theoretical framework for the problem of adhesion and de-adhesion of fluctuating lipid membranes and vesicles interacting with different types of substrates. This will be achieved by constructing a self-consistent theory for the effective potential of interactions that includes the temperature-dependent fluctuations which renormalize the direct interactions. For vesicles, the relation between the tension, geometrical constraints, and the shape will have to be determined. We will consider the interaction with (i) hard substrates that exhibit complex direct interactions (ii) soft compressible substrates that are analogous to a thick layer of polymers, (iii) \substrates which consist of a fluctuating bilayer connected to the other membrane with an array of elastic springs and (iv) elastic fluctuating substrates. Using the concept of an effective adhesion or repulsion strength, we will model discrete interactions, taking into account the statistical nature of the ensemble and of the single bond. Direct collaboration with several groups where the relevant measurements are currently performed will enable the comparison with appropriate experimental data.