Zhu Xinyao, Siamantouras E, Liu K K, Liu X
School of Engineering, University of Warwick, Coventry CV4 7AL, UK.
School of Engineering, University of Warwick, Coventry CV4 7AL, UK.
J Mech Behav Biomed Mater. 2016 Mar;56:77-86. doi: 10.1016/j.jmbbm.2015.11.034. Epub 2015 Dec 5.
Hertz contact theory has been widely used for the determination of cell elasticity based on AFM indentation experiments. In light of the adhesive contact between AFM tip and cell, this study applied Johnson-Kendall-Roberts (JKR) model to fit the indentation force-displacement (F-D) curves reported previously. A MIN6 cell has been modeled as first a sphere and then a flattened cell with different thicknesses. The results have shown that both basic JKR model and "generalized" JKR model can best describe the unloading force-displacement behaviors of the indentation curves. The Young׳s modulus of the cell and the work of adhesion of the cell-indenter interface are obtained. In comparison to the Hertzian contact model, the JKR model provides obviously better fitting to the experimental results, indicating that the adhesion is significant in the cell interaction.
赫兹接触理论已广泛应用于基于原子力显微镜(AFM)压痕实验来测定细胞弹性。鉴于AFM针尖与细胞之间的粘附接触,本研究应用约翰逊-肯德尔-罗伯茨(JKR)模型来拟合先前报道的压痕力-位移(F-D)曲线。首先将MIN6细胞建模为球体,然后建模为具有不同厚度的扁平细胞。结果表明,基本JKR模型和“广义”JKR模型都能最好地描述压痕曲线的卸载力-位移行为。获得了细胞的杨氏模量和细胞-压头界面的粘附功。与赫兹接触模型相比,JKR模型对实验结果的拟合明显更好,表明粘附在细胞相互作用中具有重要意义。