The dynamics of cargo driven by molecular motors in the context of asymmetric simple exclusion processes
arXiv:0810.1307 · doi:10.1016/j.physa.2009.04.038
Abstract
We consider the dynamics of cargo driven by a collection of interacting molecular motors in the context of an asymmetric simple exclusion processes (ASEP). The model is formulated to account for i) excluded volume interactions, ii) the observed asymmetry of the stochastic movement of individual motors and iii) interactions between motors and cargo. Items (i) and (ii) form the basis of ASEP models and have already been considered in the literature to study the behavior of motor density profile [Parmeggiani 03]. Item (iii) is new. It is introduced here as an attempt to describe explicitly the dependence of cargo movement on the dynamics of motors. The steady-state solutions of the model indicate that the system undergoes a phase transition of condensation type as the motor density varies. We study the consequences of this transition to the properties of cargo velocity.
20 pages, 2 figures
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- Traffic Jams and Shocks of Molecular Motors inside Cellular Protrusions
- The fast and the slow axonal transport: a unified approach based on cargo and molecular motors coupled dynamics
- A hopping mechanism for cargo transport by molecular motors in crowded microtubules
- Phase transitions in cellular automata for cargo transport and kinetically constrained traffic
- Jamming of molecular motors as a tool for transport cargos along microtubules