Traffic of Molecular Motors Through Tube-Like Compartments

2003/04/30 by Stefan Klumpp, Reinhard Lipowsky · 7 citations
Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1023/a:1025778922620

published as J. Stat. Phys. 113, 233-268 (2003) · revtex, 25 pages, 15 figures, to appear in J. Stat. Phys

arxiv created 2003/04/30 · openalex publication_date 2003/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The traffic of molecular motors through open tube-like compartments is studied using lattice models. These models exhibit boundary-induced phase transitions related to those of the asymmetric simple exclusion process (ASEP) in one dimension. The location of the transition lines depends on the boundary conditions at the two ends of the tubes. Three types of boundary conditions are studied: (A) Periodic boundary conditions which correspond to a closed torus-like tube. (B) Fixed motor densities at the two tube ends where radial equilibrium holds locally; and (C) Diffusive motor injection at one end and diffusive motor extraction at the other end. In addition to the phase diagrams, we also determine the profiles for the bound and unbound motor densities using mean field approximations and Monte Carlo simulations. Our theoretical predictions are accessible to experiments.

Citations

• Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors

Cited by

• Stationary densities and delocalized domain walls in asymmetric exclusion processes competing for finite pools of resources
• Totally asymmetric simple exclusion process with Langmuir kinetics
• Random walks of molecular motors arising from diffusional encounters with immobilized filaments
• Asymmetric simple exclusion processes with diffusive bottlenecks
• Are shocks in conserved driven single-file motions with bottlenecks universal?
• Weakly coupled, antiparallel, totally asymmetric simple exclusion processes
• Current fluctuations in the exclusion process and Bethe ansatz

Related

• Boundary-bulk interplay of molecular motor traffic flow through a compartment
• From Intracellular Traffic to a Novel Class of Driven Lattice Gas Models
• Phase transitions in systems with two species of molecular motors
• Traffic of molecular motors: from theory to experiments
• Movements of molecular motors: Ratchets, random walks and traffic phenomena