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Anomalous diffusion on dynamical networks: a model for interacting epithelial cell migration

Author

Listed:
  • Thurner, Stefan
  • Wick, Nikolaus
  • Hanel, Rudolf
  • Sedivy, Roland
  • Huber, Lukas

Abstract

We propose a model for cell migration where epithelial cells are able to detect trajectories of other cells and try to follow them. As cells move along in 2D cell culture, they mark their paths by loosing tiny parts of cytoplasm. Any cell moving on a surface where other cells have moved before faces a network of cell trajectories, which it tries to restrict its motion onto. With the Tsallis modification of classical thermodynamics one can solve the relevant Fokker–Planck like equation and obtain experimentally testable distribution functions. We compare the model to experimental data of normal mammary epithelial cells and cells which have been genetically manipulated to change their cell–cell interaction.

Suggested Citation

  • Thurner, Stefan & Wick, Nikolaus & Hanel, Rudolf & Sedivy, Roland & Huber, Lukas, 2003. "Anomalous diffusion on dynamical networks: a model for interacting epithelial cell migration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 475-484.
    • Handle: RePEc:eee:phsmap:v:320:y:2003:i:c:p:475-484
    DOI: 10.1016/S0378-4371(02)01598-4
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    Cited by:

    1. Leon Chen, L. & Beck, Christian, 2008. "A superstatistical model of metastasis and cancer survival," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3162-3172.
    2. Zamora, Dario Javier & Tsallis, Constantino, 2022. "Probabilistic models with nonlocal correlations: Numerical evidence of q-Large Deviation Theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 608(P1).

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