Michonova-Alexova Ekaterina I, Sugár István P
Department of Biomathematical Sciences, Mount Sinai School of Medicine at New York University, New York 10029, USA.
Biophys J. 2002 Oct;83(4):1820-33. doi: 10.1016/S0006-3495(02)73947-7.
In this paper a two-state, two-component, Ising-type model is used to simulate the lateral distribution of the components and gel/fluid state acyl chains in dimyristoylphosphatidylcholine/distearoylphosphatidylcholine (DMPC/DSPC) lipid bilayers. The same model has been successful in calculating the excess heat capacity curves, the fluorescence recovery after photobleaching (FRAP) threshold temperatures, the most frequent center-to-center distances between DSPC clusters, and the fractal dimensions of gel clusters (Sugar, I. P., T. E. Thompson, and R. L. Biltonen, 1999. Biophys. J. 76:2099-2110). Depending on the temperature and mole fraction the population of the cluster size is either homogeneous or inhomogeneous. In the inhomogeneous population the size of the largest cluster scales with the size of the system, while the rest of the clusters remain small with increasing system size. In a homogeneous population, however, every cluster remains small with increasing system size. For both compositional and fluid/gel state clusters, threshold temperatures-the so-called percolation threshold temperatures-are determined where change in the type of the population takes place. At a given mole fraction, the number of percolation threshold temperatures can be 0, 1, 2, or 3. By plotting these percolation threshold temperatures on the temperature/mole fraction plane, the diagrams of component and state separation of DMPC/DSPC bilayers are constructed. In agreement with the small-angle neutron scattering measurements, the component separation diagram shows nonrandom lateral distribution of the components not only in the gel-fluid mixed phase region, but also in the pure gel and pure fluid regions. A combined diagram of component and state separation is constructed to characterize the lateral distribution of lipid components and gel/fluid state acyl chains in DMPC/DSPC mixtures. While theoretical phase diagrams of two component mixtures can be constructed only in the case of first-order transitions, state and component separation diagrams can be constructed whether or not the system is involved in first-order transition. The effects of interchain interactions on the component and state separation diagrams are demonstrated on three different models. The influences of state and component separation on the in-plane and off-plane membrane reactions are discussed.
在本文中,一个双态、双组分的伊辛型模型被用于模拟二肉豆蔻酰磷脂酰胆碱/二硬脂酰磷脂酰胆碱(DMPC/DSPC)脂质双层中各组分的横向分布以及凝胶/流体态酰基链的情况。同一模型已成功用于计算过量热容曲线、光漂白后荧光恢复(FRAP)阈值温度、DSPC簇之间最常见的中心到中心距离以及凝胶簇的分形维数(Sugar, I. P., T. E. Thompson, and R. L. Biltonen, 1999. Biophys. J. 76:2099 - 2110)。根据温度和摩尔分数,簇尺寸的分布要么是均匀的,要么是不均匀的。在不均匀分布中,最大簇的尺寸随系统尺寸缩放,而随着系统尺寸增加,其余簇保持较小。然而,在均匀分布中,随着系统尺寸增加,每个簇都保持较小。对于组成簇和流体/凝胶态簇,都确定了阈值温度——即所谓的渗流阈值温度,在这些温度下会发生分布类型的变化。在给定的摩尔分数下,渗流阈值温度的数量可以是0、1、2或3。通过将这些渗流阈值温度绘制在温度/摩尔分数平面上,构建了DMPC/DSPC双层的组分和状态分离图。与小角中子散射测量结果一致,组分分离图表明各组分不仅在凝胶 - 流体混合相区域,而且在纯凝胶和纯流体区域都具有非随机的横向分布。构建了一个组分和状态分离的组合图,以表征DMPC/DSPC混合物中脂质组分和凝胶/流体态酰基链的横向分布。虽然只有在一级相变的情况下才能构建两组分混合物的理论相图,但无论系统是否涉及一级相变,都可以构建状态和组分分离图。在三种不同模型上展示了链间相互作用对组分和状态分离图的影响。讨论了状态和组分分离对平面内和平面外膜反应的影响。