Motile parameters of cell migration in anisotropic environment derived by speed power spectrum fitting with double exponential decay
Yan-Ping Liu (刘艳平)1, Xiang Li (李翔)1,2, Jing Qu (屈静)1, Xue-Juan Gao (高学娟)1, Qing-Zu He (何情祖)1, Li-Yu Liu (刘雳宇)3, Ru-Chuan Liu (刘如川)3(), Jian-Wei Shuai (帅建伟)1,2,4()
1. Department of Physics, Xiamen University, Xiamen 361005, China 2. State Key Laboratory of Cellular Stress Biology, Innovation Center for Cell Signaling Network, Xiamen University, Xiamen 361102, China 3. College of Physics, Chongqing University, Chongqing 401331, China 4. National Institute for Big Data in Healthcare at Xiamen University, Xiamen 361102, China
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.
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