Rotational effect in two-dimensional cooperative directed transport

Li-Yan Qiao, Yun-yun Li, Zhi-Gang Zheng

Front. Phys. ›› 2015, Vol. 10 ›› Issue (1) : 108701.

PDF(550 KB)
PDF(550 KB)
Front. Phys. ›› 2015, Vol. 10 ›› Issue (1) : 108701. DOI: 10.1007/s11467-014-0423-3
Condensed Matter, Materials Physics, and Statistical Physics
Condensed Matter, Materials Physics, and Statistical Physics

Rotational effect in two-dimensional cooperative directed transport

Author information +
History +

Abstract

In this review we investigate the rotation effect in the motion of coupled dimer in a two-dimensional asymmetric periodic potential. Free rotation does not generate directed transport in translational direction, while we find it plays an critical role in the motors motility when the dimer moves under the effect of asymmetry ratchet potential. In the presence of external force, we study the relation between the average current and the force numerically and theoretically. The numerical results show that only appropriate driving force could produce nonzero current and there are current transitions when the force is large enough. An analysis of stability analysis of limit cycles is applied to explain the occurrence of these transitions. Moreover, we numerically simulate the transport of this coupled dimer driven by the random fluctuations in the rotational direction. The existence of noise smooths the current transitions induced by the driving force and the resonance-like peaks which depend on the rod length emerge in small noise strength. Thanks to the noise in the rotational direction, autonomous motion emerges without the external force and large noise could make the current reversal happen. Eventually, the new mechanism to generate directed transport by the rotation is studied.

Graphical abstract

Keywords

molecular motor / rotational effect / noise / rotation-translation coupling / directed translational motion

Cite this article

Download citation ▾
Li-Yan Qiao, Yun-yun Li, Zhi-Gang Zheng. Rotational effect in two-dimensional cooperative directed transport. Front. Phys., 2015, 10(1): 108701 https://doi.org/10.1007/s11467-014-0423-3

References

[1]
A. Yildiz, J. N. Forkey, S. A. McKinney, T. Ha, Y. E. Goldman, and P. R. Selvin, Myosin V walks hand-over-hand: Single fluorophore imaging with 1.5-nm localization, Science, 2003, 300(5628): 2061
CrossRef ADS Google scholar
[2]
A. Yildiz, H. Park, D. Safer, Z. Yang, L. Q. Chen, P. R. Selvin, and H. L. Sweeney, Myosin VI steps via a handover-hand mechanism with its lever arm undergoing fluctuations when attached to actin, J. Biol. Chem., 2004, 279(36): 37223
CrossRef ADS Google scholar
[3]
A. Yildiz, M. Tomishige, R. D. Vale, and P. R. Selvin, Kinesin walks hand-over-hand, Science, 2004, 303(5658): 676
CrossRef ADS Google scholar
[4]
S. L. Reck-Peterson, A. Yildiz, A. P. Carter, A. Gennerich, N. Zhang, and R. D. Vale, Single-molecule analysis of Dynein processivity and stepping behavior, Cell, 2006, 126(2): 335
CrossRef ADS Google scholar
[5]
M. von Delius and D. A. Leigh, Walking molecules, Chem. Soc. Rev., 2011, 40(7): 3656
CrossRef ADS Google scholar
[6]
K. Shiroguchi and K. Kinosita, Myosin V walks by lever action and brownian motion, Science, 2007, 316(5828): 1208
CrossRef ADS Google scholar
[7]
A. R. Dunn and J. A. Spudich, Dynamics of the unbound head during myosin V processive translocation, Nat. Struct. Mol. Biol., 2007, 14(3): 246
CrossRef ADS Google scholar
[8]
F. Jülicher, A. Ajdari, and J. Prost, Modeling molecular motors, Rev. Mod. Phys., 1997, 69(4): 1269
CrossRef ADS Google scholar
[9]
R. D. Astumian, Thermodynamics and kinetics of a Brownian motor, Science, 1997, 276(5314): 917
CrossRef ADS Google scholar
[10]
M. Dittrich, J. Yu, and K. Schulten, PcrA Helicase, a molecular motor studied from the electronic to the functional level, in: Atomistic Approaches in Modern Biology, edited by M. Reiher, Springer, 2007, pp. 319-347
CrossRef ADS Google scholar
[11]
Z. G. Zheng, G. Hu, and B. Hu, Collective directional transport in coupled nonlinear oscillators without external bias, Phys. Rev. Lett., 2001, 86(11): 2273
CrossRef ADS Google scholar
[12]
Z. G. Zheng, M. C. Cross, and G. Hu, Collective directed transport of symmetrically coupled lattices in symmetric periodic potentials, Phys. Rev. Lett., 2002, 89(15): 154102
CrossRef ADS Google scholar
[13]
H. B. Chen, Q. W. Wang, and Z. G. Zheng, Deterministic directed transport of inertial particles in a flashing ratchet potential, Phys. Rev. E, 2005, 71(3 Pt 1): 031102
CrossRef ADS Google scholar
[14]
Z. G. Zheng and H. B. Chen, Cooperative two-dimensional directed transport, Europhys. Lett., 2010, 92(3): 30004
CrossRef ADS Google scholar
[15]
H. B. Chen and Z. G. Zheng, Deterministic collective directional transport in one-dimensional flashing ratchet potentials, Mod. Phys. Lett. B, 2011, 25(14): 1179
CrossRef ADS Google scholar
[16]
B. Alberts, D. Bray, J. Lewis, M. Raff, K. Roberts, and J. D. Watson, Molecular Biology of the Cell, New York: Garland Publishing Comp., 1983
[17]
S. von Gehlen, M. Evstigneev, and P. Reimann, Dynamics of a dimer in a symmetric potential: Ratchet effect generated by an internal degree of freedom, Phys. Rev. E, 2008, 77(3): 031136
CrossRef ADS Google scholar
[18]
D. Dan, A. Jayannavar, and G. I. Menon, A biologically inspired model for two-headed Brownian motors, Physica A, 2003, 318: 40
CrossRef ADS Google scholar
[19]
B. Geislinger and R. Kawai, Brownian molecular motors driven by rotation-translation coupling, Phys. Rev. E, 2006, 74(1): 011912
CrossRef ADS Google scholar
[20]
C. Veigel, F. Wang, M. L. Bartoo, J. R. Sellers, and J. E. Molloy, The gated gait of the processive molecular motor, myosin V, Nat. Cell Biol., 2001, 4(1): 59
CrossRef ADS Google scholar
[21]
G. Cappello, P. Pierobon, C. Symonds, L. Busoni, J. Christof, M. Gebhardt, M. Rief, and J. Prost, Myosin V stepping mechanism, Proc. Natl. Acad. Sci. USA, 2007, 104(39): 15328
CrossRef ADS Google scholar
[22]
S. Uemura, H. Higuchi, A. O. Olivares, E. M. De La Cruz, and S. Ishiwata, Mechanochemical coupling of two substeps in a single myosin V motor, Nat. Struct. Mol. Biol., 2004, 11(9): 877
CrossRef ADS Google scholar
[23]
J. Prost, J. F. Chauwin, L. Peliti , and A. Ajdari, Asymmetric pumping of particles, Phys. Rev. Lett., 1994, 72(16): 2652
CrossRef ADS Google scholar
[24]
J. Rousselet, L. Salome, A. Ajdari, and J. Prost, Directional motion of brownian particles induced by a periodic asymmetric potential, Nature, 1994, 370(6489): 446
CrossRef ADS Google scholar
[25]
M. O. Magnasco, Forced thermal ratchets, Phys. Rev. Lett., 1993, 71(10): 1477
CrossRef ADS Google scholar
[26]
R. D. Astumian and M. Bier, Fluctuation driven ratchets: Molecular motors, Phys. Rev. Lett., 1994, 72(11): 1766
CrossRef ADS Google scholar
[27]
R. Adler, A study of locking phenomena in oscillators, Proceedings of the IRE, 1946, 34(6): 351
CrossRef ADS Google scholar
[28]
F. Falo, J. Munárriz, and J. Mazo, Model for hand-overhand motion in molecular motors, Statistical Mechanics of Molecular Biophysics, 63(2008)
[29]
A. G. Hendricks, B. I. Epureanu, and E. Meyhöfer, Collective dynamics of kinesin, Phys. Rev. E, 2009, 79(3): 031929
CrossRef ADS Google scholar
[30]
C. L. Asbury, A. N. Fehr, and S. M. Block, Kinesin moves by an asymmetric hand-over-hand mechanism, Science, 2003, 302(5653): 2130
CrossRef ADS Google scholar
[31]
H. Risken, Fokker–Planck Equation, Springer, 1984
CrossRef ADS Google scholar
[32]
P. Reimann, R. Bartussek, R. Häußler, and P. Hänggi, Brownian motors driven by temperature oscillations, Phys. Lett. A, 1996, 215(1-2): 26
CrossRef ADS Google scholar

RIGHTS & PERMISSIONS

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
AI Summary AI Mindmap
PDF(550 KB)

Accesses

Citations

Detail

Sections
Recommended

/