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

2001; Elsevier BV; Volume: 293; Issue: 3-4 Linguagem: Inglês

10.1016/s0378-4371(01)00009-7

1873-2119

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

Fractional Differential Equations Solutions

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.