Frontiers of Physics

, 15:13602 | Cite as

Motile parameters of cell migration in anisotropic environment derived by speed power spectrum fitting with double exponential decay

  • Yan-Ping Liu (刘艳平)
  • Xiang Li (李翔)
  • Jing Qu (屈静)
  • Xue-Juan Gao (高学娟)
  • Qing-Zu He (何情祖)
  • Li-Yu Liu (刘雳宇)
  • Ru-Chuan Liu (刘如川)Email author
  • Jian-Wei Shuai (帅建伟)Email author
Research Article


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.


cell migration heterogeneity power spectrum random walk Langevin equation 



This research was supported by the National Natural Science Foundation of China (Grant Nos. 11675134, 11874310, 11474345, and 11604030), the 111 Project (Grant No. B160229), and the China Postdoctoral Science Foundation (Grant No. 2016M602071).


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Copyright information

© Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature 2020

Authors and Affiliations

  • 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
    Email author
  • Jian-Wei Shuai (帅建伟)
    • 1
    • 2
    • 4
    Email author
  1. 1.Department of PhysicsXiamen UniversityXiamenChina
  2. 2.State Key Laboratory of Cellular Stress Biology, Innovation Center for Cell Signaling NetworkXiamen UniversityXiamenChina
  3. 3.College of PhysicsChongqing UniversityChongqingChina
  4. 4.National Institute for Big Data in Healthcare at Xiamen UniversityXiamenChina

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