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Anomalous diffusion and non-Gaussian velocity distribution of Hydra cells in cellular aggregates

Author

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  • Upadhyaya, Arpita
  • Rieu, Jean-Paul
  • Glazier, James A.
  • Sawada, Yasuji

Abstract

We study the center of mass motion of single endodermal Hydra cells in two kinds of cellular aggregates: endodermal and ectodermal. The mean square displacement displays anomalous super-diffusion with 〈x2〉∼tα where α>1. The velocity distribution function is non-Gaussian and fits well the q-distribution function of velocities within the framework of the non-extensive thermostatistics proposed by Tsallis. Our results indicate that cell motion in two-dimensional cellular aggregates can be described by a “correlated-type” anomalous diffusion.

Suggested Citation

  • Upadhyaya, Arpita & Rieu, Jean-Paul & Glazier, James A. & Sawada, Yasuji, 2001. "Anomalous diffusion and non-Gaussian velocity distribution of Hydra cells in cellular aggregates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 293(3), pages 549-558.
    • Handle: RePEc:eee:phsmap:v:293:y:2001:i:3:p:549-558
    DOI: 10.1016/S0378-4371(01)00009-7
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    Citations

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    Cited by:

    1. Priscila C A da Silva & Tiago V Rosembach & Anésia A Santos & Márcio S Rocha & Marcelo L Martins, 2014. "Normal and Tumoral Melanocytes Exhibit q-Gaussian Random Search Patterns," PLOS ONE, Public Library of Science, vol. 9(9), pages 1-13, September.
    2. Tatiane Souza Vilela Podestá & Tiago Venzel Rosembach & Anésia Aparecida dos Santos & Marcelo Lobato Martins, 2017. "Anomalous diffusion and q-Weibull velocity distributions in epithelial cell migration," PLOS ONE, Public Library of Science, vol. 12(7), pages 1-19, July.
    3. Sotolongo-Grau, O. & Rodriguez-Perez, D. & Sotolongo-Costa, O. & Antoranz, J.C., 2013. "Tsallis entropy approach to radiotherapy treatments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2007-2015.
    4. Vignat, Christophe & Naudts, Jan, 2005. "Stability of families of probability distributions under reduction of the number of degrees of freedom," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 296-302.
    5. Cirto, Leonardo J.L. & Assis, Vladimir R.V. & Tsallis, Constantino, 2014. "Influence of the interaction range on the thermostatistics of a classical many-body system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 286-296.
    6. Qiu, Hui-Bin & Liu, San-Qiu, 2018. "Nonlinear behavior of plasma: Connection with nonextensive statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 486-491.
    7. Ilya Yurchenko & Joao Marcos Vensi Basso & Vladyslav Serhiiovych Syrotenko & Cristian Staii, 2019. "Anomalous diffusion for neuronal growth on surfaces with controlled geometries," PLOS ONE, Public Library of Science, vol. 14(5), pages 1-21, May.
    8. Qi, Jie & Rong, Zhihai, 2013. "The emergence of scaling laws search dynamics in a particle swarm optimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(6), pages 1522-1531.
    9. Aristoklis D. Anastasiadis & Marcelo P. Albuquerque & Marcio P. Albuquerque & Diogo B. Mussi, 2010. "Tsallis q-exponential describes the distribution of scientific citations—a new characterization of the impact," Scientometrics, Springer;Akadémiai Kiadó, vol. 83(1), pages 205-218, April.
    10. Thomas, Gilberto L. & Mironov, Vladimir & Nagy-Mehez, Agnes & Mombach, José C.M., 2014. "Dynamics of cell aggregates fusion: Experiments and simulations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 247-254.

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