Walks of molecular motors interacting with immobilized filaments

Theo M. Nieuwenhuizen, Stefan Klumpp and Reinhard Lipowsky

Physica A: Statistical Mechanics and its Applications, 2005, vol. 350, issue 1, 122-130

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.

Keywords: Molecular motors; Random walks; Lattice models; Brownian motion (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:350:y:2005:i:1:p:122-130

DOI: 10.1016/j.physa.2004.11.023

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