中国物理B ›› 2024, Vol. 33 ›› Issue (2): 28703-028703.doi: 10.1088/1674-1056/ad09d3

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Spatial search weighting information contained in cell velocity distribution

Yikai Ma(马一凯)1, Na Li(李娜)2,3,†, and Wei Chen(陈唯)1,‡   

  1. 1 State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200438, China;
    2 China National Center for Bioinformation, Beijing 100101, China;
    3 National Genomics Data Center, Beijing Institute of Genomics, Chinese Academy of Sciences, Beijing 100101, China
  • 收稿日期:2023-09-20 修回日期:2023-10-24 接受日期:2023-11-06 出版日期:2024-01-16 发布日期:2024-01-29
  • 通讯作者: Na Li, Wei Chen E-mail:694526249@qq.com;phchenwei@fudan.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 31971183).

Spatial search weighting information contained in cell velocity distribution

Yikai Ma(马一凯)1, Na Li(李娜)2,3,†, and Wei Chen(陈唯)1,‡   

  1. 1 State Key Laboratory of Surface Physics and Department of Physics, Fudan University, Shanghai 200438, China;
    2 China National Center for Bioinformation, Beijing 100101, China;
    3 National Genomics Data Center, Beijing Institute of Genomics, Chinese Academy of Sciences, Beijing 100101, China
  • Received:2023-09-20 Revised:2023-10-24 Accepted:2023-11-06 Online:2024-01-16 Published:2024-01-29
  • Contact: Na Li, Wei Chen E-mail:694526249@qq.com;phchenwei@fudan.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 31971183).

摘要: Cell migration plays a significant role in physiological and pathological processes. Understanding the characteristics of cell movement is crucial for comprehending biological processes such as cell functionality, cell migration, and cell-cell interactions. One of the fundamental characteristics of cell movement is the specific distribution of cell speed, containing valuable information that still requires comprehensive understanding. This article investigates the distribution of mean velocities along cell trajectories, with a focus on optimizing the efficiency of cell food search in the context of the entire colony. We confirm that the specific velocity distribution in the experiments corresponds to an optimal search efficiency when spatial weighting is considered. The simulation results indicate that the distribution of average velocity does not align with the optimal search efficiency when employing average spatial weighting. However, when considering the distribution of central spatial weighting, the specific velocity distribution in the experiment is shown to correspond to the optimal search efficiency. Our simulations reveal that for any given distribution of average velocity, a specific central spatial weighting can be identified among the possible central spatial weighting that aligns with the optimal search strategy. Additionally, our work presents a method for determining the spatial weights embedded in the velocity distribution of cell movement. Our results have provided new avenues for further investigation of significant topics, such as relationship between cell behavior and environmental conditions throughout their evolutionary history, and how cells achieve collective cooperation through cell-cell communication.

关键词: cell migration, foraging efficiency, random walk, spatial search weight

Abstract: Cell migration plays a significant role in physiological and pathological processes. Understanding the characteristics of cell movement is crucial for comprehending biological processes such as cell functionality, cell migration, and cell-cell interactions. One of the fundamental characteristics of cell movement is the specific distribution of cell speed, containing valuable information that still requires comprehensive understanding. This article investigates the distribution of mean velocities along cell trajectories, with a focus on optimizing the efficiency of cell food search in the context of the entire colony. We confirm that the specific velocity distribution in the experiments corresponds to an optimal search efficiency when spatial weighting is considered. The simulation results indicate that the distribution of average velocity does not align with the optimal search efficiency when employing average spatial weighting. However, when considering the distribution of central spatial weighting, the specific velocity distribution in the experiment is shown to correspond to the optimal search efficiency. Our simulations reveal that for any given distribution of average velocity, a specific central spatial weighting can be identified among the possible central spatial weighting that aligns with the optimal search strategy. Additionally, our work presents a method for determining the spatial weights embedded in the velocity distribution of cell movement. Our results have provided new avenues for further investigation of significant topics, such as relationship between cell behavior and environmental conditions throughout their evolutionary history, and how cells achieve collective cooperation through cell-cell communication.

Key words: cell migration, foraging efficiency, random walk, spatial search weight

中图分类号:  (Cell locomotion, chemotaxis)

  • 87.17.Jj
87.15.Vv (Diffusion) 05.40.Jc (Brownian motion)