Diffusion and directed motion in cellular transport

We study the motion of a probe driven by microtubule-associated motors within a living eukaryotic cell. The measured mean square displacement, [formula presented] of engulfed 2 and [formula presented] diameter microspheres shows enhanced diffusion scaling as [formula presented] at short times, with a clear crossover to ordinary or subdiffusive scaling, i.e., [formula presented] with [formula presented] less than or equal to 1, at long times. Using optical tweezers we tried to move the engulfed bead within the cell in order to relate the anomalous diffusion scaling to the density of the network in which the bead is embedded. Results show that the larger beads, 2 and [formula presented] diameter, must actively push the cytoskeleton filaments out of the way in order to move, whereas smaller beads of [formula presented] diameter can be “rattled” within a cage. The [formula presented] beads also perform an enhanced diffusion but with a smaller and less consistent exponent [formula presented] We interpret the half-integer power observed with large beads based on two diverse phenomena widely studied in purified cytoskeleton filaments: (1) the motion of the intracellular probe results from random forces generated by motor proteins rather than thermal collisions for classical Brownian particles, and (2) thermal bending modes of these semiflexible polymers lead to anomalous subdiffusion of particles embedded in purified gel networks or attached to single filaments, with [formula presented] In the case of small beads, there may also be a Brownian contribution to the motion that results in a smaller exponent.