中国物理B ›› 2017, Vol. 26 ›› Issue (12): 128707-128707.doi: 10.1088/1674-1056/26/12/128707

所属专题： SPECIAL TOPIC — Soft matter and biological physics

• SPECIAL TOPIC—Soft matter and biological physics • 上一篇    下一篇

Derivation of persistent time for anisotropic migration of cells

Yan-Ping Liu(刘艳平), Xiao-Cui Zhang(张晓翠), Yu-Ling Wu(吴宇宁), Wen Liu(刘雯), Xiang Li(李翔), Ru-Chuan Liu(刘如川), Li-Yu Liu(刘雳宇), Jian-Wei Shuai(帅建伟)   

  1. 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. Research Institute for Biomimetics and Soft Matter, Fujian Provincial Key Laboratory for Soft Functional Materials Research, Xiamen University, Xiamen 361102, China
  • 收稿日期:2017-09-05 修回日期:2017-09-15 出版日期:2017-12-05 发布日期:2017-12-05
  • 通讯作者: Jian-Wei Shuai E-mail:jianweishuai@xmu.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 31370830, 11675134, 11474345, and 11604030), the State Key Development Program for Basic Research of China (Grant No. 2013CB837200), the 111 Project, China (Grant No. B16029), and the China Postdoctoral Science Foundation (Grant No. 2016M602071).

Derivation of persistent time for anisotropic migration of cells

Yan-Ping Liu(刘艳平)1, Xiao-Cui Zhang(张晓翠)1, Yu-Ling Wu(吴宇宁)1, Wen Liu(刘雯)1, Xiang Li(李翔)1,2, Ru-Chuan Liu(刘如川)3, Li-Yu Liu(刘雳宇)3, Jian-Wei Shuai(帅建伟)1,2,4   

  1. 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. Research Institute for Biomimetics and Soft Matter, Fujian Provincial Key Laboratory for Soft Functional Materials Research, Xiamen University, Xiamen 361102, China
  • Received:2017-09-05 Revised:2017-09-15 Online:2017-12-05 Published:2017-12-05
  • Contact: Jian-Wei Shuai E-mail:jianweishuai@xmu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 31370830, 11675134, 11474345, and 11604030), the State Key Development Program for Basic Research of China (Grant No. 2013CB837200), the 111 Project, China (Grant No. B16029), and the China Postdoctoral Science Foundation (Grant No. 2016M602071).

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摘要：

Cell migration plays an essential role in a wide variety of physiological and pathological processes. In this paper we numerically discuss the properties of an anisotropic persistent random walk (APRW) model, in which two different and independent persistent times are assumed for cell migrations in the x-and y-axis directions. An intrinsic orthogonal coordinates with the primary and non-primary directions can be defined for each migration trajectory based on the singular vector decomposition method. Our simulation results show that the decay time of single exponential distribution of velocity auto-correlation function (VACF) in the primary direction is actually the large persistent time of the APRW model, and the small decay time of double exponential VACF in the non-primary direction equals the small persistent time of the APRW model. Thus, we propose that the two persistent times of anisotropic migration of cells can be properly estimated by discussing the VACFs of trajectory projected to the primary and non-primary directions.

关键词: cell migration, random walk, Langevin equation, cancer

Abstract:

Cell migration plays an essential role in a wide variety of physiological and pathological processes. In this paper we numerically discuss the properties of an anisotropic persistent random walk (APRW) model, in which two different and independent persistent times are assumed for cell migrations in the x-and y-axis directions. An intrinsic orthogonal coordinates with the primary and non-primary directions can be defined for each migration trajectory based on the singular vector decomposition method. Our simulation results show that the decay time of single exponential distribution of velocity auto-correlation function (VACF) in the primary direction is actually the large persistent time of the APRW model, and the small decay time of double exponential VACF in the non-primary direction equals the small persistent time of the APRW model. Thus, we propose that the two persistent times of anisotropic migration of cells can be properly estimated by discussing the VACFs of trajectory projected to the primary and non-primary directions.

Key words: cell migration, random walk, Langevin equation, cancer

中图分类号:  (Modeling, computer simulation of cell processes)

  • 87.17.Aa
05.40.Fb (Random walks and Levy flights) 87.19.xj (Cancer) 05.10.Gg (Stochastic analysis methods)