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Directed transport properties of double-headed molecular motors with balanced cargo

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  • Lin, Lifeng
  • Wang, Huiqi
  • Ma, Hong

Abstract

Under the background of subdiffusion in cytosol, the nonlinear-coupling fractional Langevin equations is proposed to model the stepping modes of the double-headed molecular motor: inchworm and hand-over-hand mechanisms, and the transport properties in flashing asymmetrical periodic potential are investigated. By numerical simulations, the influences of noise intensity, height of potential barriers, and external load force on the average velocity of coupled particles current in the overdamped limit are assessed. With the exception of conventional directed transport, we observe some anomalous phenomena, including inverse transport and cooperative transport, which cannot be described by the integral-order models. Moreover, the average transport velocity varies non-monotonously with the noise intensity and the height of potential barrier, which shows there exists generalized stochastic resonance (GSR) phenomenon in proposed coupled fractional systems. The results also indicate that the damping force involving the weighted sum of historical velocity leads to the nonlocal memory property and blocks the traditional dissipative behaviors, and it even plays a cooperative role of the driving force in drift motion.

Suggested Citation

  • Lin, Lifeng & Wang, Huiqi & Ma, Hong, 2019. "Directed transport properties of double-headed molecular motors with balanced cargo," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 270-279.
    • Handle: RePEc:eee:phsmap:v:517:y:2019:i:c:p:270-279
    DOI: 10.1016/j.physa.2018.11.001
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    References listed on IDEAS

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    1. Joe Howard, 1997. "Molecular motors: structural adaptations to cellular functions," Nature, Nature, vol. 389(6651), pages 561-567, October.
    2. 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.
    3. Lv, Wangyong & Wang, Huiqi & Lin, Lifeng & Wang, Fei & Zhong, Suchuan, 2015. "Transport properties of elastically coupled fractional Brownian motors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 149-161.
    4. Wang, Huiqi & Ni, Feixiang & Lin, Lifeng & Lv, Wangyong & Zhu, Hongqiang, 2018. "Transport behaviors of locally fractional coupled Brownian motors with fluctuating interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 124-135.
    5. Mateos, José L., 2005. "A random walker on a ratchet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(1), pages 79-87.
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    Cited by:

    1. Lin, Lifeng & Lin, Tianzhen & Zhang, Ruoqi & Wang, Huiqi, 2023. "Generalized stochastic resonance in a time-delay fractional oscillator with damping fluctuation and signal-modulated noise," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    2. Lin, Lifeng & He, Minyue & Wang, Huiqi, 2022. "Collective resonant behaviors in two coupled fluctuating-mass oscillators with tempered Mittag-Leffler memory kernel," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    3. Zhao, Dazhi & Yu, Guozhu & Tian, Yan, 2020. "Recursive formulae for the analytic solution of the nonlinear spatial conformable fractional evolution equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).

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