Analysis of Phase Separation Dynamics of Multilayer Lipid-Membrane System on the basis of Higher-Dimensional Vicinal-Surface Picture

1.用高维邻近面图表示多层膜系统，证明了长波长波动的“频散”中的主项应与侧波数的平方成正比，并通过蒙特卡罗模拟进行了验证。2.为了讨论多层膜系统的不交叉效应，本文对膜系统进行了泛化，提出了将二维膜系统转化为一维弦系统的方法。3.提出了用膜间距离分布函数来表示膜-膜相互作用势引起的自由能增量的方法。通过蒙特卡罗计算得到了IMDD函数。4.得到了具有吸引相互作用的多层膜系统的相图。由单一溶剂组成的相与膜密度有限的相(膜冷凝)共存。用Ginzburg-Landau方程对膜冷凝过程的动力学进行了分析。5.发现了“扁平”膜冷凝相的热不稳定性。6.发展了非解析朗道展开方法。7.推导了分子透膜渗透率的一般表达式。

1.Expressing the multilayer lipid membrane system in terms of the higher-dimensional vicinal surface picture, I showed that the dominant term in the "dispersion" of the long wave-length fluctuation should be proportional to the square of the lateral wave number, and I verified it by a Monte Carlo simulation.2.To discuss the non-crossing effect of the multilayer membrane system, I generalized the membrane picture and proposed a method translating the two-dimensional membrane system into a one-dimensional string system.3.I proposed a method expressing the free energy increment due to the membrane-membrane interaction potential in terms of the inter-membrane distance distribution (IMDD) function. The IMDD function was obtained by a Monte Carlo calculation.4.The phase diagrams exhibited by the multilayer membrane systems with attractive interaction were obtained. The phase coexistence between the phase composed of the solvent alone and the phase with finite membrane density (the membrane condensation) appears. The dynamics of the membrane condensation also analyzed by the Ginzburg-Landau equation.5.The thermal instability of the "flat" membrane condensation phase was found.6.The non-analytic Landau expansion method was developed.7.A generalized expression for permeability of molecules through membrane was derived.