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Effects Of Langmuir Kinetics On Two-Lane Totally Asymmetric Exclusion Processes Of Molecular Motor Traffic

Author

Listed:
  • RUILI WANG

    (Institute of Information Sciences and Technology, Massey University, New Zealand)

  • RUI JIANG

    (School of Engineering Science, University of Science and Technology of China, Hefei, China)

  • MINGZHE LIU

    (Institute of Information Sciences and Technology, Massey University, New Zealand)

  • JIMING LIU

    (Department of Computer Science, Hong Kong Baptist University, Hong Kong, China)

  • QING-SONG WU

    (School of Engineering Science, University of Science and Technology of China, Hefei, China)

Abstract

In this paper, we study a two-lane totally asymmetric simple exclusion process (TASEP) coupled with random attachment and detachment of particles (Langmuir kinetics) in both lanes under open boundary conditions. Our model can describe the directed motion of molecular motors, attachment and detachment of motors, and free inter-lane transition of motors between filaments. In this paper, we focus on some finite-size effects of the system because normally the sizes of most real systems are finite and small (e.g., size≤ 10 000). A special finite-size effect of the two-lane system has been observed, which is that the density wall moves left first and then move towards the right with the increase of the lane-changing rate. We called it the jumping effect. We find that increasing attachment and detachment rates will weaken the jumping effect. We also confirmed that when the size of the two-lane system is large enough, the jumping effect disappears, and the two-lane system has a similar density profile to a single-lane TASEP coupled with Langmuir kinetics. Increasing lane-changing rates has little effect on density profiles after the density reaches maximum. Also, lane-changing rate has no effect on density profiles of a two-lane TASEP coupled with Langmuir kinetics at a large attachment/detachment rate and/or a large system size. Mean-field approximation is presented and it agrees with our Monte Carlo simulations.

Suggested Citation

  • Ruili Wang & Rui Jiang & Mingzhe Liu & Jiming Liu & Qing-Song Wu, 2007. "Effects Of Langmuir Kinetics On Two-Lane Totally Asymmetric Exclusion Processes Of Molecular Motor Traffic," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 18(09), pages 1483-1496.
    • Handle: RePEc:wsi:ijmpcx:v:18:y:2007:i:09:n:s0129183107011479
    DOI: 10.1142/S0129183107011479
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    Citations

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    Cited by:

    1. Verma, Atul Kumar & N.C, Priyanka, 2023. "Re-appearance of phases in the phase diagram of asymmetrically coupled two-lane exclusion process," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    2. S, Tamizhazhagan & Sharma, Natasha & Verma, Atul Kumar, 2023. "Asymmetrically coupled two lane totally asymmetric simple exclusion process with extended Langmuir kinetics," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).

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