A model for bidirectional traffic of cytoskeletal motors

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.

arXiv comment20 pages, 9 figures

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Cited by in corpus (16)

• Intracellular transport driven by cytoskeletal motors: General mechanisms and defects
• Modelling cytoskeletal traffic: an interplay between passive diffusion and active transport
• Traffic by multiple species of molecular motors
• Bidirectional transport on a dynamic lattice
• Dynamical phase transition of a 1D transport process including death
• Dynamics at barriers in bidirectional two-lane exclusion processes
• Spontaneous symmetry breaking in a two-lane model for bidirectional overtaking traffic
• Phase segregation and transport in a two species multi-lane system
• Self-organized lane-formation in bidirectional transport of molecular motors
• Bidirectional transport and pulsing states in a multi-lane ASEP model
• Particle interactions and lattice dynamics: Scenarios for efficient bidirectional stochastic transport?
• Interference of two co-directional exclusion processes in the presence of a static bottleneck: a biologically motivated model
• Bidirectional Non-Markovian Exclusion Processes
• A Multispecies Exclusion Model Inspired By Transcriptional Interference
• A biologically motivated three-species exclusion model: effects of leaky scanning and overlapping genes on initiation of protein synthesis
• Saddle-Node Bifurcation to Jammed State for Quasi-One-Dimensional Counter Chemotactic Flow