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A general two-cycle network model of molecular motors

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  • Zhang, Yunxin

Abstract

Molecular motors are single macromolecules that generate forces at the piconewton range and nanometer scale. They convert chemical energy into mechanical work by moving along filamentous structures. In this paper, we study the velocity of two-head molecular motors in the framework of a mechanochemical network theory. The network model, a generalization of the recently work of Liepelt and Lipowsky [Steffen Liepelt, Reinhard Lipowsky, Kinesins network of chemomechanical motor cycles, Physical Review Letters 98 (25) (2007) 258102], is based on the discrete mechanochemical states of a molecular motor with multiple cycles. By generalizing the mathematical method developed by Fisher and Kolomeisky for a single cycle motor [Michael E. Fisher, Anatoly B. Kolomeisky, Simple mechanochemistry describes the dynamics of kinesin molecules, Proceedings of the National Academy of Sciences 98 (14) (2001) 7748–7753], we are able to obtain an explicit formula for the velocity of a molecular motor.

Suggested Citation

  • Zhang, Yunxin, 2009. "A general two-cycle network model of molecular motors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3465-3474.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:17:p:3465-3474
    DOI: 10.1016/j.physa.2009.04.039
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    References listed on IDEAS

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    1. Hiroyuki Noji & Ryohei Yasuda & Masasuke Yoshida & Kazuhiko Kinosita, 1997. "Direct observation of the rotation of F1-ATPase," Nature, Nature, vol. 386(6622), pages 299-302, March.
    2. Kolomeisky, Anatoly B. & Fisher, Michael E., 2000. "Periodic sequential kinetic models with jumping, branching and deaths," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 279(1), pages 1-20.
    3. Hitoshi Sakakibara & Hiroaki Kojima & Yukako Sakai & Eisaku Katayama & Kazuhiro Oiwa, 1999. "Inner-arm dynein c of Chlamydomonas flagella is a single-headed processive motor," Nature, Nature, vol. 400(6744), pages 586-590, August.
    4. N. J. Carter & R. A. Cross, 2005. "Mechanics of the kinesin step," Nature, Nature, vol. 435(7040), pages 308-312, May.
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    Cited by:

    1. Zhang, Yanchao & Huang, Chuankun & Lin, Guoxing & Chen, Jincan, 2017. "Efficiency bounds of molecular motors under a trade-off figure of merit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 230-236.

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    Keywords

    Molecular motors; Mechanochemical network;

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