论文标题
横向点作用在有限大小的弹性膜附近诱导的不对称stokes流动
Asymmetric Stokes flow induced by a transverse point-force acting near a finite-sized elastic membrane
论文作者
论文摘要
对纳米颗粒和靶细胞膜之间的物理相互作用的深入了解对于设计有效的纳米载体系统以用于药物输送应用非常重要。在这里，我们提出了一个理论框架，以描述由平行于有限大小的弹性膜的点命中奇点（Stokeslet）引起的流体动力流场，并具有剪切和弯曲的刚性。我们将弹性水力动力问题提出为混合体值问题，然后将其降低为良好的无数差异方程式系统。因此，剪切和弯曲线性将其切换，因此可以通过这些变形模式的贡献来获得整体流问题的解。此外，我们探测膜对附近粒子的流体动力阻力的影响，发现在一定范围的参数中，与散装流体相比，在弹性膜附近的转化运动在弹性膜附近，对剪切的抗性只能加速。我们的结果可能会发现在弹性限制附近的胶体系统的微流变特征中应用。
A deep understanding of the physical interactions between nanoparticles and target cell membranes is important in designing efficient nanocarrier systems for drug delivery applications. Here, we present a theoretical framework to describe the hydrodynamic flow field induced by a point-force singularity (Stokeslet) directed parallel to a finite-sized elastic membrane endowed with shear and bending rigidities. We formulate the elastohydrodynamic problem as a mixed-boundary-value problem, which we then reduce into a well-behaved system of integro-differential equations. It follows that shear and bending linearly decouple so that the solution of the overall flow problem can be obtained by linear superposition of the contributions arising from these modes of deformation. Additionally, we probe the effect of the membrane on the hydrodynamic drag acting on a nearby particle, finding that, in a certain range of parameters, translational motion near an elastic membrane with only energetic resistance toward shear can, surprisingly, be sped up compared to bulk fluid. Our results may find applications in microrheological characterizations of colloidal systems near elastic confinements.
