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Profiles of (a) the bound motor density ρb and (b) the corresponding bound motor current jb as functions of the coordinate x along the filament in the closed tube for three different motor numbers N as obtained from Monte Carlo simulations. The tube has length L = 200ℓ and radius R = 25ℓ. The transport parameters are 
β = 0, γ = 0.99, ε = 10−4, and πad = 1.
