A model for bidirectional traffic of cytoskeletal motors
arXiv:0901.0183 · doi:10.1088/1742-5468/2009/03/P03030
Abstract
We introduce a stochastic lattice gas model including two particle species and two parallel lanes. One lane with exclusion interaction and directed motion and the other lane without exclusion and unbiased diffusion, mimicking a micotubule filament and the surrounding solution. For a high binding affinity to the filament, jam-like situations dominate the system's behaviour. The fundamental process of position exchange of two particles is approximated. In the case of a many-particle system, we were able to identify a regime in which the system is rather homogenous presenting only small accumulations of particles and a regime in which an important fraction of all particles accumulates in the same cluster. Numerical data proposes that this cluster formation will occur at all densities for large system sizes. Coupling of several filaments leads to an enhanced cluster formation compared to the uncoupled system, suggesting that efficient bidirectional transport on one-dimensional filaments relies on long-ranged interactions and track formation.
20 pages, 9 figures
References in corpus (9)
- Tug-of-war as a cooperative mechanism for bidirectional cargo transport by molecular motors
- Phase Coexistence in Driven One Dimensional Transport
- Traffic of molecular motors through tube-like compartments
- Phase transitions in systems with two species of molecular motors
- Traffic jams induced by rare switching events in two-lane transport
- Effects of Langmuir Kinetics of Two-Lane Totally Asymmetric Exclusion Processes in Protein Traffic
- Non-equilibrium phase transitions in tubulation by molecular motors
- Traffic of single-headed motor proteins KIF1A: effects of lane changing
- Competition of coarsening and shredding of clusters in a driven diffusive lattice gas