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arXiv 0909.3396cond-mat.softcond-mat.stat-mech
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两种支撑双层脂质膜的统计力学和动力学

Statistical mechanics and dynamics of two supported stacked lipid bilayers

Manoel Manghi, Nicolas Destainville

摘要:

从理论上研究了双支撑双层膜的统计物理和动力学。设计双支撑脂质双层的主要目标是获得生物膜的模型系统:上层双层几乎是自由浮动的,下层双层屏蔽基底。波动引起的排斥膜之间和下膜和壁之间的明确考虑使用高斯变分法。它示出的变化参数,“有效”的吸附强度和平均距离的基板,强烈依赖于温度和膜的弹性模量,弯曲刚度和微观表面张力,这是一个签名的膜波动所发挥的关键作用。这些支持膜的稳定性的范围进行了研究,显示出一个复杂的依赖裸吸附强度。特别是,找到了上膜受到下膜轻微扰动且仍与表面结合的实验条件。与膜法向模式相关的阻尼率的理论计算中包括壁面的流体动力摩擦和两个膜之间的流体动力相互作用。

英文摘要:

The statistical physics and dynamics of double supported bilayers are studied theoretically. The main goal in designing double supported lipid bilayers is to obtain model systems of biomembranes: the upper bilayer is meant to be almost freely floating, the substrate being screened by the lower bilayer. The fluctuation-induced repulsion between membranes and between the lower membrane and the wall are explicitly taken into account using a Gaussian variational approach. It is shown that the variational parameters, the "effective" adsorption strength and the average distance to the substrate, depend strongly on temperature and membrane elastic moduli, the bending rigidity and the microscopic surface tension, which is a signature of the crucial role played by membrane fluctuations. The range of stability of these supported membranes is studied, showing a complex dependence on bare adsorption strengths. In particular, the experimental conditions to have an upper membrane slightly perturbed by the lower one and still bound to the surface are found. Included in the theoretical calculation of the damping rates associated with membrane normal modes are hydrodynamic friction by the wall and hydrodynamic interactions between both membranes.

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