Walks of molecular motors interacting with immobilized filaments

2004/08/30 by Theo M. Nieuwenhuizen, Stefan Klumpp, Reinhard Lipowsky · 1 citation
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Nanopore and Nanochannel Transport Studies #Spectroscopy and Quantum Chemical Studies #cond-mat.stat-mech

paper · pdf · doi:10.1016/j.physa.2004.11.023

published as Physica A 350, 122-130 (2005) · 10 pages, uses elsart.cls (included), to appear in the proceedings of StatPhys-Taiwan 2004

arxiv created 2004/08/30 · openalex publication_date 2004/12/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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