We show that within a living eukaryotic cell, mean square displacement of a
n engulfed microsphere shows enhanced diffusion scaling as t(3/2) at short
times, with a clear crossover to subdiffusive or ordinary diffusion scaling
at longer times. The motion, observed nearby the nucleus, is due to intera
ctions with microtubule-associated motor proteins rather than thermal Brown
ian motion. We propose that time-dependent friction introduced by the intra
cellular polymer networks leads to sub-ballistic motion, analogous to subdi
ffusion observed in passive networks of semiflexible biopolymers.