Kenkre V M, Giuggioli L, Kalay Z
Consortium of the Americas for Interdisciplinary Science and Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 May;77(5 Pt 1):051907. doi: 10.1103/PhysRevE.77.051907. Epub 2008 May 13.
A theoretical calculation is presented to describe the confined motion of transmembrane molecules in cell membranes. The study is analytic, based on Master equations for the probability of the molecules moving as random walkers, and leads to explicit usable solutions including expressions for the molecular mean square displacement and effective diffusion constants. One outcome is a detailed understanding of the dependence of the time variation of the mean square displacement on the initial placement of the molecule within the confined region. How to use the calculations is illustrated by extracting (confinement) compartment sizes from experimentally reported published observations from single particle tracking experiments on the diffusion of gold-tagged G -protein coupled mu -opioid receptors in the normal rat kidney cell membrane, and by further comparing the analytical results to observations on the diffusion of phospholipids, also in normal rat kidney cells.
本文提出了一种理论计算方法来描述跨膜分子在细胞膜中的受限运动。该研究基于分子作为随机漫步者运动概率的主方程进行分析，得出了明确可用的解，包括分子均方位移和有效扩散常数的表达式。一个结果是详细了解了均方位移的时间变化对分子在受限区域内初始位置的依赖性。通过从关于正常大鼠肾细胞膜中带有金标记的G蛋白偶联μ阿片受体扩散的单粒子跟踪实验的实验报告已发表观察结果中提取（受限）区室大小，并将分析结果与同样在正常大鼠肾细胞中磷脂扩散的观察结果进行进一步比较，来说明如何使用这些计算。
