Figure 3.

Verification of results in two dimensions with a lattice random-walk implementation of GLE dynamics. (a) Simulated GLE on a two-dimensional annulus using the lattice-based method is shown, demonstrating dependence of depletion layers on α. Plots show density as a function of radius where r = 1 denotes the nuclear membrane and r = 5 the cell membrane. Simulations were calibrated to insulin-granule motility data from (36) so that the MSD after 4 min is ∼1 μm² for α = 0.7. 20,000 particles were simulated for 1000 s with dt = 0.01 s. (b and c) A two-dimensional spatial density map at the end of these simulations is shown, illustrating depletion near the nuclear and cell border for α = 0.7. Red and yellow indicate low and high density, respectively. To see this figure in color, go online.