Anomalous di usion and non-gaussian velocity distribution of hydra cells in cellular aggregates

Abstract

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-di usion with x 2 ∼ t where ¿1. The velocity distribution function is non-Gaussian and ÿts 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 di usion

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