Spector A A, Brownell W E, Popel A S
Department of Biomedical Engineering, Johns Hopkins University School of Medicine, Baltimore, MD, USA.
Ann Biomed Eng. 1996 Jul-Aug;24(4):241-9. doi: 10.1007/BF02648116.
We propose a mathematical model to describe the deformations of the cochlear outer hair cell (OHC) in the micropipette aspiration experiments. The bending effect is considered, and the OHC is treated as a cylindrical shell. The pipette effect is modeled by two-dimensional normal loading. Considering the OHC wall as an infinitely long cylinder, we obtain solution in terms of Fourier series with respect to the circumferential coordinate where coefficients are expressed by closed formulae. We keep leading terms in Fourier series and derive a closed formula for the length of tongue of the aspirated cell surface in terms of pipette pressure, cell geometry, and elastic moduli. To demonstrate application of the theory, we use data recently reported from the micropipette aspiration experiments and obtain an estimate of the elastic shear modulus for the OHC lateral wall.
我们提出了一个数学模型来描述微吸管抽吸实验中耳蜗外毛细胞（OHC）的变形。考虑了弯曲效应，并将OHC视为圆柱形壳。通过二维法向载荷对吸管效应进行建模。将OHC壁视为无限长的圆柱体，我们得到了关于圆周坐标的傅里叶级数解，其中系数由封闭公式表示。我们保留傅里叶级数中的主要项，并根据吸管压力、细胞几何形状和弹性模量推导出抽吸细胞表面舌状长度的封闭公式。为了证明该理论的应用，我们使用了最近微吸管抽吸实验报告的数据，并获得了OHC侧壁弹性剪切模量的估计值。
