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A biologically inspired ratchet model of two coupled Brownian motors

Author

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  • Dan, Debasis
  • Jayannavar, A.M.
  • Menon, Gautam I.

Abstract

A ratchet model for coupled Brownian motors, inspired by the motion of individual two-headed molecular motors on cytoskeletal filaments, is proposed. Such motors are modeled as two elastically coupled Brownian particles, each of which moves in a flashing ratchet potential. The ratchet potentials felt by the individual particles are anti-correlated, modeling the successive binding and unbinding of the two motor heads to the filament. We obtain, via Langevin simulations, steady-state currents as functions of noise strength, the equilibrium separation of the particles and the rate of switching between potential states. We observe an enhanced current due to coupling, noise-induced stability and phase-locked behaviour in the deterministic regime. A qualitative understanding of these features is provided.

Suggested Citation

  • Dan, Debasis & Jayannavar, A.M. & Menon, Gautam I., 2003. "A biologically inspired ratchet model of two coupled Brownian motors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(1), pages 40-47.
    • Handle: RePEc:eee:phsmap:v:318:y:2003:i:1:p:40-47
    DOI: 10.1016/S0378-4371(02)01400-0
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    Cited by:

    1. 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.

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