Cell migration through anisotropic microenvironment is critical to a wide variety of physiological and pathological processes. However, adequate analytical tools to derive motile parameters to characterize the anisotropic migration are lacking. Here, we proposed a method to obtain the four motile parameters of migration cells based on the anisotropic persistent random walk model which is described by two persistence times and two migration speeds at perpendicular directions. The key process is to calculate the velocity power spectra of cell migration along intrinsically perpendicular directions respectively, then to apply maximum likelihood estimation to derive the motile parameters from the power spectra fitting with double exponential decay. The simulation results show that the averaged persistence times and the corrected migration speeds can be good estimations for motile parameters of cell migration.

中文翻译：

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速度功率谱双指数衰减拟合得出各向异性环境中细胞迁移的运动参数。

通过各向异性微环境的细胞迁移对于多种生理和病理过程至关重要。但是，缺乏足够的分析工具来得出表征各向异性迁移的运动参数。在此，我们提出了一种基于各向异性的持久随机游动模型来获得迁移细胞的四个运动参数的方法，该模型由两个持续时间和两个垂直方向的迁移速度来描述。关键过程是分别计算沿本征垂直方向的细胞迁移的速度功率谱，然后应用最大似然估计来从具有双指数衰减的功率谱导出运动参数。