流体力学流动中细胞黏附的平均相遇时间：降维分析进展
Mean encounter times for cell adhesion in hydrodynamic flow: analytical progress by dimensional reduction
摘要：
对于在壁上方的流体动力学流动中移动的细胞，平移和旋转自由度由Stokes方程耦合。此外，由于位置相关的迁移率，存在对流和扩散的紧密耦合。这些偶联使得计算细胞表面受体和基质上的配体之间的平均相遇时间非常困难。在这里，我们展示了一个二维模型系统如何分析的进展，可以通过治疗运动在垂直方向上的一个有效的反应项的平均第一通过时间方程的旋转自由度。该反应项的强度可以从平衡考虑估计或用作拟合参数。我们的分析结果证实了计算机模拟，并允许评估对流和扩散的相对作用不同的标度制度的利益。
英文摘要：
For a cell moving in hydrodynamic flow above a wall, translational and rotational degrees of freedom are coupled by the Stokes equation. In addition, there is a close coupling of convection and diffusion due to the position-dependent mobility. These couplings render calculation of the mean encounter time between cell surface receptors and ligands on the substrate very difficult. Here we show for a two-dimensional model system how analytical progress can be achieved by treating motion in the vertical direction by an effective reaction term in the mean first passage time equation for the rotational degree of freedom. The strength of this reaction term can either be estimated from equilibrium considerations or used as a fit parameter. Our analytical results are confirmed by computer simulations and allow to assess the relative roles of convection and diffusion for different scaling regimes of interest.
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