The dynamics of cargo driven by molecular motors in the context of asymmetric simple exclusion processes
Carla Goldman and
Elisa T. Sena
Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 17, 3455-3464
Abstract:
We consider the dynamics of cargo driven by a collection of interacting molecular motors in the context of an asymmetric simple exclusion process (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 to study the behavior of motor density profile [A. Parmeggiani, T. Franosch, E. Frey, Phase Coexistence in driven one-dimensional transport, Phys. Rev. Lett. 90 (2003) 086601-1–086601-4]. Item (iii) is new. It is introduced here as an attempt to describe explicitly the dependence of cargo movement on the dynamics of motors in this context. 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 behavior of the average cargo velocity.
Keywords: Cargo transport; Molecular motors; Collective effects; ASEP (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (1)
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:17:p:3455-3464
DOI: 10.1016/j.physa.2009.04.038
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