Correlations and Symmetry of Interactions Influence Collective Dynamics of Molecular Motors
arXiv:1503.00633 · doi:10.1088/1742-5468/2015/04/P04013
Abstract
Enzymatic molecules that actively support many cellular processes, including transport, cell division and cell motility, are known as motor proteins or molecular motors. Experimental studies indicate that they interact with each other and they frequently work together in large groups. To understand the mechanisms of collective behavior of motor proteins we study the effect of interactions in the transport of molecular motors along linear filaments. It is done by analyzing a recently introduced class of totally asymmetric exclusion processes that takes into account the intermolecular interactions via thermodynamically consistent approach. We develop a new theoretical method that allows us to compute analytically all dynamic properties of the system. Our analysis shows that correlations play important role in dynamics of interacting molecular motors. Surprisingly, we find that the correlations for repulsive interactions are weaker and more short-range than the correlations for the attractive interactions. In addition, it is shown that symmetry of interactions affect dynamic properties of molecular motors. The implications of these findings for motor proteins transport are discussed. Our theoretical predictions are tested by extensive Monte Carlo computer simulations.
References in corpus (16)
- Non-equilibrium statistical mechanics: From a paradigmatic model to biological transport
- Phase Coexistence in Driven One Dimensional Transport
- Traffic of molecular motors through tube-like compartments
- Stochastic mechano-chemical kinetics of molecular motors: a multidisciplinary enterprise from a physicist's perspective
- Asymmetric exclusion process with next-nearest-neighbor interaction: some comments on traffic flow and a nonequilibrium reentrance transition
- Collective dynamics of molecular motors pulling on fluid membranes
- Phase transitions in systems with two species of molecular motors
- Efficiency at maximum power of interacting molecular machines
- Exclusion processes on networks as models for cytoskeletal transport
- Theoretical Analysis of Dynamic Processes for Interacting Molecular Motors
- Weakly coupled, antiparallel, totally asymmetric simple exclusion processes
- Entrainment and unit velocity: Surprises in an accelerated exclusion process
- The totally asymmetric exclusion process with generalized update
- Statistical Mechanics for Unstable States in Gel'fand Triplets and Investigations of Parabolic Potential Barriers
- Interaction of molecular motors can enhance their efficiency
- Particle interactions and lattice dynamics: Scenarios for efficient bidirectional stochastic transport?
Cited by in corpus (11)
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- Collective dynamics on a two-lane asymmetrically coupled TASEP with mutually interactive Langmuir Kinetics
- Role of interactions and correlations on collective dynamics of molecular motors along parallel filaments
- A Deterministic Model for One-Dimensional Excluded Flow with Local Interactions
- One-dimensional irreversible aggregation with TASEP dynamics
- Dynamics of relaxation to a stationary state for interacting molecular motors
- Role of interactions in a closed quenched system
- Dynamical transitions in a driven diffusive model with interactions
- A Multispecies Exclusion Process with Fusion and Fission of Rods: a model inspired by Intraflagellar Transport
- Exclusion process on an open lattice with fluctuating boundaries
- Steady-state dynamics of exclusion process with local reversible association of particles