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Determination of the Elastic Moduli of a Single Cell Cultured on a Rigid Support by Force Microscopy

机译:力显微镜测定在刚性支撑物上培养的单细胞的弹性模量

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摘要

The elastic response of a living cell is affected by its physiological state. This property provides mechanical fingerprints of a cell’s dysfunctionality. The softness (kilopascal range) and thickness (2–15 μm) of mammalian cells imply that the force exerted by the probe might be affected by the stiffness of the solid support. This observation makes infinite sample thickness models unsuitable to describe quantitatively the forces and deformations on a cell. Here, we report a general theory to determine the true Young’s moduli of a single cell from a force-indentation curve. Analytical expressions are deduced for common geometries such as flat punches, paraboloids, cones, needles, and nanowires. For a given cell and indentation, the influence of the solid support on the measurements is reduced by using sharp and high aspect ratio tips. The theory is validated by finite element simulations.
机译:活细胞的弹性反应受其生理状态影响。此属性提供了细胞功能异常的机械指纹。哺乳动物细胞的柔软度(千帕斯卡范围)和厚度(2-15μm)表明,探针施加的力可能会受到固体支持物硬度的影响。这种观察使无限的样品厚度模型不适用于定量描述细胞上的力和变形。在这里,我们报告了一种一般理论,可以根据力-压痕曲线确定单个单元格的真实杨氏模量。推导了常见几何形状的解析表达式,例如平冲头,抛物面,圆锥,针和纳米线。对于给定的单元和压痕,通过使用锋利且高的长宽比尖端,可以减少固相支持对测量的影响。该理论已通过有限元模拟得到验证。

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