Modelling cytoskeletal traffic: an interplay between passive diffusion and active transport
arXiv:1212.0437 · doi:10.1103/PhysRevLett.110.098102
Abstract
We introduce the totally asymmetric exclusion process with Langmuir kinetics (TASEP-LK) on a network as a microscopic model for active motor protein transport on the cytoskeleton, immersed in the diffusive cytoplasm. We discuss how the interplay between active transport along a network and infinite diffusion in a bulk reservoir leads to a heterogeneous matter distribution on various scales. We find three regimes for steady state transport, corresponding to the scale of the network, of individual segments or local to sites. At low exchange rates strong density heterogeneities develop between different segments in the network. In this regime one has to consider the topological complexity of the whole network to describe transport. In contrast, at moderate exchange rates the transport through the network decouples, and the physics is determined by single segments and the local topology. At last, for very high exchange rates the homogeneous Langmuir process dominates the stationary state. We introduce effective rate diagrams for the network to identify these different regimes. Based on this method we develop an intuitive but generic picture of how the stationary state of excluded volume processes on complex networks can be understood in terms of the single-segment phase diagram.
5 pages, 7 figures
References in corpus (20)
- Novel type of phase transition in a system of self-driven particles
- Traffic and Related Self-Driven Many-Particle Systems
- The Mechanics and Statistics of Active Matter
- Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
- Phase Coexistence in Driven One Dimensional Transport
- The totally asymmetric exclusion process with extended objects, a model for protein synthesis
- The Totally Asymmetric Simple Exclusion Process with Langmuir Kinetics
- Partially Asymmetric Exclusion Process with Open Boundaries
- Entropy-driven pumping across zeolites and biological channels
- Statistical Physics of Traffic Flow
- Dynamic concentration of motors in microtubule arrays
- The totally asymmetric simple exclusion process on networks
- Self-organized density patterns of molecular motors in arrays of cytoskeletal filaments
- Crowding of molecular motors determines microtubule depolymerization
- Some Exact Results for the Exclusion Process
- Signatures of critical full counting statistics in a quantum-dot chain
- Bulk-driven non-equilibrium phase transitions in a mesoscopic ring
- A model for bidirectional traffic of cytoskeletal motors
- Coupling of Active Motion and Advection Shapes Intracellular Cargo Transport
- Parallel Coupling of Symmetric and Asymmetric Exclusion Processes
Cited by in corpus (29)
- Exclusion processes on networks as models for cytoskeletal transport
- Self-Sustained Density Oscillations of Swimming Bacteria Confined in Microchambers
- Motor proteins traffic regulation by supply-demand balance of resources
- Molecular Mechanisms for Microtubule Length Regulation by Kinesin-8 and XMAP215 Proteins
- The Braess Paradox in a network of totally asymmetric exclusion processes
- Braess paradox in a network with stochastic dynamics and fixed strategies
- Generic nonequilibrium steady states in an exclusion process on an inhomogeneous ring
- Pinned or moving: states of a single shock in a ring
- Efficiency at maximum power of motor traffic on networks
- Stochastic modelling of collective motor protein transport through a crossing of microtubules
- Quantitative analyses of the plant cytoskeleton reveal underlying organizational principles
- Modelling the effect of ribosome mobility on the rate of protein synthesis
- The asymmetric simple exclusion process on chains with a shortcut revisited
- An exclusion process on a tree with constant aggregate hopping rate
- Two-species TASEP model: from a simple description to intermittency and travelling traffic jams
- Generalized model of blockage in particulate flow limited by channel carrying capacity
- Two-species active transport along cylindrical biofilaments is limited by emergent topological hindrance
- Interference of two co-directional exclusion processes in the presence of a static bottleneck: a biologically motivated model
- Jamming and condensation in one-dimensional driven flow
- One-dimensional irreversible aggregation with TASEP dynamics
- Self-organized system-size oscillation of a stochastic lattice-gas model
- Active and Passive Transport of Cargo in a Corrugated Channel: A Lattice Model Study
- A Multispecies Exclusion Model Inspired By Transcriptional Interference
- Particle creation and annihilation in an exclusion process on networks
- Driven Transport on open filaments with inter-filament switching processes
- A biologically motivated three-species exclusion model: effects of leaky scanning and overlapping genes on initiation of protein synthesis
- Cytoskeletal filament length controlled dynamic sequestering of intracellular cargo
- Virial-like Thermodynamic Uncertainty Relation in the Tight-Binding Regime
- Asymmetric simple exclusion process on a random comb: Transport properties in the stationary state