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The dynamics of cargo driven by molecular motors in the context of asymmetric simple exclusion processes

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  • Goldman, Carla
  • Sena, Elisa T.

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.

Suggested Citation

  • Goldman, Carla & Sena, Elisa T., 2009. "The dynamics of cargo driven by molecular motors in the context of asymmetric simple exclusion processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3455-3464.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:17:p:3455-3464
    DOI: 10.1016/j.physa.2009.04.038
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    References listed on IDEAS

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    1. Sharyn A. Endow & Hideo Higuchi, 2000. "A mutant of the motor protein kinesin that moves in both directions on microtubules," Nature, Nature, vol. 406(6798), pages 913-916, August.
    2. Jun Liu & Dianne W. Taylor & Elena B. Krementsova & Kathleen M. Trybus & Kenneth A. Taylor, 2006. "Three-dimensional structure of the myosin V inhibited state by cryoelectron tomography," Nature, Nature, vol. 442(7099), pages 208-211, July.
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    Cited by:

    1. Rossi, Lucas W. & Radtke, Paul K. & Goldman, Carla, 2014. "Long-range cargo transport on crowded microtubules: The motor jamming mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 401(C), pages 319-329.

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