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首页> 外文期刊>Journal of Mathematical Biology >Surface deformation and shear flow in ligand mediated cell adhesion
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Surface deformation and shear flow in ligand mediated cell adhesion

机译：配体介导的细胞粘附中的表面变形和剪切流

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摘要

We present a unified, multiscale model to study the attachment/detachment dynamics of two deforming, charged, near spherical cells, coated with binding ligands and subject to a slow, homogeneous shear flow in a viscous, ionic fluid medium. The binding ligands on the surface of the cells experience both attractive and repulsive forces in an ionic medium and exhibit finite resistance to rotation via bond tilting. The microscale drag forces and couples describing the fluid flow inside the small separation gap between the cells, are calculated using a combination of methods in lubrication theory and previously published numerical results. For a selected range of material and fluid parameters, a hysteretic transition of the sticking probability curves (i.e., the function ) between the adhesion phase (when ) and the fragmentation phase (when ) is attributed to a nonlinear relation between the total nanoscale binding forces and the separation gap between the cells. We show that adhesion is favoured in highly ionic fluids, increased deformability of the cells, elastic binders and a higher fluid shear rate (until a critical threshold value of shear rate is reached). Within a selected range of critical shear rates, the continuation of the limit points (i.e., the turning points where the slope of changes sign) predict a bistable region, indicating an abrupt switching between the adhesion and the fragmentation regimes. Although, bistability in the adhesion-fragmentation phase diagram of two deformable, charged cells immersed in an ionic aqueous environment has been identified by some in vitro experiments, but until now, has not been quantified theoretically.
机译：我们提出了一个统一的多尺度模型，以研究两个变形的，带电的，接近球形的细胞的附着/分离动力学，这些细胞被结合配体包裹，并在粘性离子液体介质中经受缓慢均匀的剪切流。细胞表面上的结合配体在离子介质中同时受到吸引力和排斥力，并通过键倾斜表现出有限的旋转阻力。使用润滑理论中的方法和先前发表的数值结果的组合来计算描述电池单元之间小的分隔间隙内的流体流动的微观阻力和耦合。对于选定范围的材料和流体参数，粘附阶段（当）和破碎阶段（当）之间的粘附概率曲线（即函数）的滞后转变归因于总纳米级结合力之间的非线性关系和细胞之间的分离间隙。我们显示出粘附力在高离子液体，增加细胞的可变形性，弹性粘合剂和较高的流体剪切速率（直到达到剪切速率的临界阈值）时有利。在临界剪切速率的选定范围内，极限点（即，变化斜率符号处的转折点）的连续预测为双稳态区域，表明在粘合和破碎状态之间突然切换。尽管通过一些体外实验已经确定了浸入离子水环境中的两个可变形带电细胞在粘附-断裂相图中的双稳态性，但是到目前为止，在理论上尚未进行定量。

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