Broday David M
Faculty of Agricultural Engineering, Technion, Israel Institute of Technology, Haifa, 32000, Israel.
Bull Math Biol. 2002 May;64(3):531-63. doi: 10.1006/bulm.2002.0289.
Drag and torque on nanobeads translating within the pericellular layer while attached to glycolipids of the plasma membrane are calculated by a novel hydrodynamic model. The model considers a bead that translates proximate to a rigid planar interface that separates two distinct Brinkman media. The hydrodynamic resistance is calculated numerically by a modified boundary integral equation formulation, where the pertinent boundary conditions result in a hybrid system of Fredholm integrals of the first and second kinds. The hydrodynamic resistance on the translating bead is calculated for different combinations of the Brinkman screening lengths in the two layers, and for different viscosity ratios. Depending on the bead-membrane separation and on the hydrodynamic properties of both the plasma membrane and the pericellular layer, the drag on the bead may be affected by the properties of the plasma membrane. The Stokes-Einstein relation is applied for calculating the diffusivity of probes (colloidal gold nanobeads attached to glycolipids) in the plasma membrane. This approach provides an alternative way for the interpretation of in vitro observations during single particle tracking procedure, and predicts new properties of the plasma membrane structure.
通过一种新型的流体动力学模型计算了纳米珠在附着于质膜糖脂时在细胞周层内平移时所受的阻力和扭矩。该模型考虑了一个靠近刚性平面界面平移的珠子，该界面将两种不同的布林克曼介质分隔开。流体动力学阻力通过修正的边界积分方程公式进行数值计算，其中相关的边界条件导致了第一类和第二类弗雷德霍姆积分的混合系统。针对两层中布林克曼屏蔽长度的不同组合以及不同的粘度比，计算了平移珠子上的流体动力学阻力。根据珠子与膜的间距以及质膜和细胞周层的流体动力学性质，珠子上的阻力可能会受到质膜性质的影响。应用斯托克斯 - 爱因斯坦关系来计算探针（附着于糖脂的胶体金纳米珠）在质膜中的扩散率。这种方法为解释单粒子跟踪过程中的体外观察结果提供了一种替代方法，并预测了质膜结构的新特性。
