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. Author manuscript; available in PMC: 2022 Feb 15.
Published in final edited form as: J Neurosci Methods. 2020 Dec 3;350:109018. doi: 10.1016/j.jneumeth.2020.109018

Fig. 2. In the voxelized geometry, a random walker has at most three interactions with membranes in each step.

Fig. 2.

The simulation of diffusion in 3d voxelized cell geometry can be simplified as at most three interactions between a random walker and membranes in each step, when the step size is smaller than the voxel size; the interactions include either an elastic collision with or a permeation through the membrane. This simplification is similar to the concept of the corner reflector (three consecutive coordinate reflections send vector x → −x, after which no wall can be encountered within the corner, representing a given voxel), which has been applied to radar sets, glass prisms, and bicycle reflectors.