液滴模型细胞准静吸吮过程的稳定性分析

Stability Analysis of Micropipette Aspiration of Cell by Liquid Drop Modeling

应用细胞液滴模型讨论细胞吸吮平衡过程中出现的失稳现象。近似地导出了细胞吸吮过程平衡态临界点,临界吸附压与细胞模型参量、吸吮微管半径的关系式,并与严格的数字计算方法所得的结果比较,证明经简化的公式在其近似条件范围内是正确的。

A generally realized phenomenon in the suction experiment of cells is that if the aspiration pressure is larger than a certain threshold, cell flows continuously into the pipette, The point of the threshold aspiration pressure at which the cell can still be held in a stable equilibrium is called the critical point of aspiration. Here we represent a theoretical analysis of the equilibrium behavior and stability of cell by liquid drop model. In the method of analysis, the areal change due to a small movement △L of the portion of the membrane in pipette is given to the first approximation, The threshold pressure and the critical point are shown as simple formulas of the model parameters and inner relative radius of pipette. The results derived from formulas are consistent with rigorous ones by numerical computation in the approximate range.