Exact steady-state velocity of ratchets driven by random sequential adsorption
- 8 May 2007
- journal article
- Published by IOP Publishing in Journal of Physics A: Mathematical and Theoretical
- Vol. 40 (21), 5575-5584
- https://doi.org/10.1088/1751-8113/40/21/009
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.Other Versions
This publication has 22 references indexed in Scilit:
- Solutions of burnt-bridge models for molecular motor transportPhysical Review E, 2007
- Powering a burnt bridges Brownian ratchet: A model for an extracellular motor driven by proteolysis of collagenPhysical Review E, 2006
- Dynamic properties of motor proteins with two subunitsJournal of Physics: Condensed Matter, 2005
- “Burnt-bridge” mechanism of molecular motor motionPhysical Review E, 2005
- Interparticle gap distributions on one-dimensional latticesJournal of Physics A: General Physics, 2004
- Translocation of structured polynucleotides through nanoporesPhysical Biology, 2004
- Directed particle diffusion under “burnt bridges” conditionsPhysical Review E, 2001
- Can Hsp70 proteins act as force-generating motors?Cell, 1995
- Mitochondrial Hsp70/MIM44 complex facilitates protein importNature, 1994
- Velocity and diffusion constant of a periodic one-dimensional hopping modelJournal of Statistical Physics, 1983