Walks of molecular motors interacting with immobilized filaments
Statistical Mechanics
2007-05-23 v1
Abstract
Movements of molecular motors on cytoskeletal filaments are described by directed walks on a line. Detachment from this line is allowed to occur with a small probability. Motion in the surrounding fluid is described by symmetric random walks. Effects of detachment and reattachment are calculated by an analytical solution of the master equation. Results are obtained for the fraction of bound motors, their average velocity and displacement. Enclosing the system in a finite geometry (tube, slab) leads to an experimentally realizable problem, that is studied in a continuum description and also numerically in a lattice simulation.
Cite
@article{arxiv.cond-mat/0408655,
title = {Walks of molecular motors interacting with immobilized filaments},
author = {Theo M. Nieuwenhuizen and Stefan Klumpp and Reinhard Lipowsky},
journal= {arXiv preprint arXiv:cond-mat/0408655},
year = {2007}
}
Comments
10 pages, uses elsart.cls (included), to appear in the proceedings of StatPhys-Taiwan 2004