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

基于高维邻面图像的多层脂膜体系相分离动力学分析

基本信息

批准号：
14540370
负责人：
YAMAMOTO Takao
金额：
$ 1.09万
依托单位：
Gunma University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2002
资助国家：
日本
起止时间：
2002 至 2003
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14540370/
关键词：
higher-dimensional vicinal surface picture long wave-length thermal fluctuation inter-membrane distance distribution function multilayer lipid membrane non-crossing effect Monte Carlo simulation exponential-type relaxation fluctuation instab

项目摘要

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.

1.用高维邻面图表示多层膜系统，证明了长波长涨落的“色散”中的主导项与侧波数的平方成正比，并通过Monte Carlo模拟进行了验证。2.为了讨论多层膜系统的非交叉效应，3.提出了用膜间距分布（IMDD）函数表示膜-膜相互作用势引起的自由能增量的方法。通过MonteCarlo计算得到了IMDD函数。4.得到了具有吸引相互作用的多层膜体系的相图。由单独的溶剂组成的相和具有有限膜密度的相之间出现相共存（膜冷凝）。利用Ginzburg-朗道方程对膜冷凝过程进行了动力学分析; 5.发现了“扁平”膜冷凝相的热不稳定性; 6.发展了非解析的朗道展开方法; 7.推导了分子透过膜的渗透率的一般表达式。