Shimizu H, Matsumoto G
Biophys J. 1980 Jan;29(1):167-76. doi: 10.1016/S0006-3495(80)85123-X.
Depolarized laser light-scattering theory was applied to derive the autocorrelation function of laser light scattered by motile spermatozoa, assuming that each spermatozoon is a chain of rotatable rigid ellipsoids of revolution and also that the rotational velocity about an axis perpendicular to the symmetry axis of the ellipsoid is constant for times of the order of the characteristic decay time of the autocorrelation function. The rotations are produced by flagellar movements of the spermatozoa. The correlation function thus obtained was related to the second-order coefficient of a Legendre polynomial expansion of the rotation of the direction angle of the ellipsoidal axis. The experimental fact that the correlation function for dead spermatozoa of sea urchin resembled that for flagella mechanically separated from spermatozoa indicated to us that the depolarized light was scattered mainly by flagella. The rotational velocity distribution of the flagella was determined by comparing the theoretical analysis with the experimentally obtained correlation functions for the motile and dead spermatozoa. The value of the average velocity caused by the flagellation, 230 rad/s, was in good agreement with that measured under an optical microscope.
应用去极化激光散射理论推导了活动精子散射激光的自相关函数，假设每个精子是由可旋转的刚性旋转椭球体组成的链，并且在自相关函数特征衰减时间量级的时间内，绕垂直于椭球体对称轴的轴的旋转速度是恒定的。旋转是由精子的鞭毛运动产生的。由此得到的相关函数与椭球轴方向角旋转的勒让德多项式展开的二阶系数有关。海胆死精子的相关函数与从精子上机械分离的鞭毛的相关函数相似这一实验事实向我们表明，去极化光主要是由鞭毛散射的。通过将理论分析与活动和死精子的实验获得的相关函数进行比较，确定了鞭毛的旋转速度分布。由鞭毛运动引起的平均速度值为230 rad/s，与在光学显微镜下测量的值非常吻合。
