“Burnt-bridge” mechanism of molecular motor motion
- 6 October 2005
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 72 (4), 046104
- https://doi.org/10.1103/physreve.72.046104
Abstract
Motivated by a biased diffusion of molecular motors with the bias dependent on the state of the substrate, we investigate a random walk on a one-dimensional lattice that contains weak links (called “bridges”) which are affected by the walker. Namely, a bridge is destroyed with probability when the walker crosses it; the walker is not allowed to cross it again and this leads to a directed motion. The velocity of the walker is determined analytically for equidistant bridges. The special case of is more tractable—both the velocity and the diffusion constant are calculated for uncorrelated locations of bridges, including periodic and random distributions.
Keywords
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