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arxiv: 1210.5226 · v3 · pith:JO4OPV6Onew · submitted 2012-10-18 · 🧮 math.PR · physics.bio-ph

On diffusion in narrow random channels

classification 🧮 math.PR physics.bio-ph
keywords diffusionmotorsaveragingcalculatechannelsconsidereffectivegraph
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We consider in this paper a solvable model for the motion of molecular motors. Based on the averaging principle, we reduce the problem to a diffusion process on a graph. We then calculate the effective speed of transportation of these motors.

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