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

我们的目的是提供一个定量的理论框架的粘附和去粘附的波动脂质膜和囊泡与不同类型的基板相互作用的问题。这将通过构建一个自洽的理论，有效的相互作用，其中包括温度依赖的波动重整化的直接相互作用的潜力。对于囊泡，必须确定张力、几何约束和形状之间的关系。我们将考虑的相互作用与（i）硬基板表现出复杂的直接相互作用（ii）软可压缩基板，类似于一个厚层的聚合物，（iii）\基板，其中包括一个波动的双层连接到其他膜与一个阵列的弹性弹簧和（iv）弹性波动基板。使用有效的粘附力或排斥力的概念，我们将离散的相互作用模型，考虑到统计性质的合奏和单键。与目前正在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.