IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v517y2019icp270-279.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437118314092
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2018.11.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mateos, José L., 2005. "A random walker on a ratchet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(1), pages 79-87.
    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. Joe Howard, 1997. "Molecular motors: structural adaptations to cellular functions," Nature, Nature, vol. 389(6651), pages 561-567, October.
    4. 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.
    5. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cui, Yingxue & Ning, Lijuan, 2023. "Transport of coupled particles in fractional feedback ratchet driven by Bounded noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    2. Mallik, Roop & Gross, Steven P., 2006. "Molecular motors as cargo transporters in the cell—The good, the bad and the ugly," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 372(1), pages 65-69.
    3. Li, Chen-Pu & Chen, Hong-Bin & Fan, Hong & Xie, Ge-Ying & Zheng, Zhi-Gang, 2018. "Cooperation and competition between two symmetry breakings in a coupled ratchet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 175-185.
    4. Zhang, Ruoqi & Meng, Lin & Yu, Lei & Shi, Sihong & Wang, Huiqi, 2024. "Collective dynamics of fluctuating–damping coupled oscillators in network structures: Stability, synchronism, and resonant behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 638(C).
    5. Rahimabadi, Arsalan & Benali, Habib, 2023. "Extended fractional-polynomial generalizations of diffusion and Fisher–KPP equations on directed networks," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    6. Ray, Krishanu, 2006. "How kinesins walk, assemble and transport: A birds-eye-view of some unresolved questions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 372(1), pages 52-64.
    7. Tian, Yan & Yu, Tao & He, Gui-Tian & Zhong, Lin-Feng & Stanley, H. Eugene, 2020. "The resonance behavior in the fractional harmonic oscillator with time delay and fluctuating mass," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    8. Zhang, Peng-Juan & Zhang, Ji-Qiang & Wang, Peng & Huo, Jie & Wang, Xu-Ming, 2024. "Directed transport of two-coupled particles under the coordination of the coupling and an asymmetric potential," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    9. 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.
    10. 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.
    11. Xinglei Liu & Lu Rao & Weihong Qiu & Florian Berger & Arne Gennerich, 2024. "Kinesin-14 HSET and KlpA are non-processive microtubule motors with load-dependent power strokes," Nature Communications, Nature, vol. 15(1), pages 1-14, December.
    12. Du, Yuru & Meng, Lin & Lin, Lifeng & Wang, Huiqi, 2024. "Resonant behaviors of two coupled fluctuating-frequency oscillators with tempered Mittag-Leffler memory kernel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 633(C).
    13. Florian Berger & A J Hudspeth, 2017. "Chemomechanical regulation of myosin Ic cross-bridges: Deducing the elastic properties of an ensemble from single-molecule mechanisms," PLOS Computational Biology, Public Library of Science, vol. 13(5), pages 1-30, May.
    14. Janeska J. Jonge & Andreas Graw & Vasileios Kargas & Christopher Batters & Antonino F. Montanarella & Tom O’Loughlin & Chloe Johnson & Susan D. Arden & Alan J. Warren & Michael A. Geeves & John Kendri, 2024. "Motor domain phosphorylation increases nucleotide exchange and turns MYO6 into a faster and stronger motor," Nature Communications, Nature, vol. 15(1), pages 1-18, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:517:y:2019:i:c:p:270-279. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.