Exact steady-state velocity of ratchets driven by random sequential adsorption

Abstract

We solve the problem of discrete translocation of a polymer through a pore, driven by the irreversible, random sequential adsorption of particles on one side of the pore. Although the kinetics of the wall motion and the deposition are coupled, we find the exact steady-state distribution for the gap between the wall and the nearest deposited particle. This result enables us to construct the mean translocation velocity demonstrating that translocation is faster when the adsorbing particles are smaller. Monte-Carlo simulations also show that smaller particles gives less dispersion in the ratcheted motion. We also define and compare the relative efficiencies of ratcheting by deposition of particles with different sizes and we describe an associated "zone-refinement" process.

11 pages, 4 figures New asymptotic result for low chaperone density added. Exact translocation velocity is proportional to (chaperone density)^(1/3)

References in corpus (6)

• What drives the translocation of stiff chains?
• Translocation of structured polynucleotides through nanopores
• Directed motion emerging from two coupled random processes: Translocation of a chain through a membrane nanopore driven by binding proteins
• A "Burnt Bridge'' Brownian Ratchet
• Exact Solutions of Burnt-Bridge Models for Molecular Motor Transport
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Cited by in corpus (9)

• Chaperone-assisted translocation of a polymer through a nanopore
• Chaperone-assisted translocation of flexible polymers in three dimensions
• Large Deviations in One-Dimensional Random Sequential Adsorption
• Translocation of stiff polymers through a nanopore driven by binding particles
• Fluctuations in Polymer Translocation
• Shepherd Model for Knot-Limited Polymer Ejection from a Capsid
• Coverage fluctuations in theater models
• Non-equilibrium effects in chaperone-assisted translocation of a stiff polymer
• Mean velocity and effective diffusion constant for translocation of biopolymer chains across membrane