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Motor proteins transporting cargos

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Abstract.

Processive motor proteins such as kinesin and myosin-V are enzymes that use the energy of ATP hydrolysis to travel along polar cytoskeletal filaments. One of the functions of these proteins is the transport of vesicles and protein complexes that are linked to the light chains of the motors. Modeling the light chain by a linear elastic spring, and using the two-state model for one- and two-headed molecular motors, we study the influence of thermal fluctuations of the cargo on the motion of the motor-cargo complex. We solve numerically the Fokker-Planck equations of motor motion, and find that the mean velocity of the motor-cargo complex decreases monotonously as the spring becomes softer. This effect is due to the random force of thermal fluctuations of the cargo disrupting the operation of the motor. Increasing the size (thus, the friction coefficient) of the cargo also decreases the velocity. Surprisingly, we find that for a given size of the cargo, the velocity has a maximum for a certain friction of the motor. We explain this effect by the interplay between the characteristic length of thermal fluctuations of the cargo on a spring, the motor diffusion length, and the filament period. Our results may be relevant for the interpretation of single-molecule experiments with molecular motors (bead assays), where the motor motion is observed by tracking of a bead attached to the motor.

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References

  1. B. Alberts, Molecular Biology of the Cell (Garland Science, New York, 2002).

  2. M. Yusuf-Ali, S. Uemura, K. Adachi, H. Itoh, K. Kinosita jr, S. Ishiwata, Nature Struct. Biol. 9, 464 (2002).

    Article  PubMed  Google Scholar 

  3. K. Svoboda, C.F. Schmidt, B.J. Schnapp, S.M. Block, Nature 365, 721 (1993).

    Article  CAS  PubMed  Google Scholar 

  4. G. Cappello, M. Badoual, A. Ott, J. Prost, L. Busoni, Phys. Rev. E 68, 021907 (2003).

    Article  Google Scholar 

  5. J. Prost, J.-F. Chauwin, L. Peliti, A. Ajdari, Phys. Rev. Lett. 72, 2652 (1994).

    Article  CAS  PubMed  Google Scholar 

  6. R.D. Astumian, M. Bier, Phys. Rev. Lett. 72, 1766 (1994).

    Article  CAS  PubMed  Google Scholar 

  7. F. Jülicher, A. Ajdari, J. Prost, Rev. Mod. Phys. 69, 1269 (1997).

    Article  Google Scholar 

  8. R.D. Astumian, Science 276, 917 (1997).

    Article  CAS  PubMed  Google Scholar 

  9. T.C. Elston, C.S. Peskin, SIAM J. Appl. Math. 60, 842 (2000).

    Article  Google Scholar 

  10. T.C. Elston, D. You, C.S. Peskin, SIAM J. Appl. Math. 61, 776 (2000).

    Article  Google Scholar 

  11. Y. Chen, Biophys. J. 78, 313 (2000).

    CAS  PubMed  Google Scholar 

  12. Y. Chen, B. Yan, Biophys. Chem. 91, 79 (2001).

    Article  CAS  PubMed  Google Scholar 

  13. T.C. Elston, G. Oster, Biophys. J. 73, 703 (1997).

    CAS  PubMed  Google Scholar 

  14. R. Nitta, M. Kikkawa, Y. Okada, N. Hirokawa, Science 305, 678 (2004).

    Article  CAS  PubMed  Google Scholar 

  15. S.M. Block, C.L. Asbury, J.W. Shaewitz, M.J. Lang, Proc. Natl. Acad. Sci. U.S.A. 100, 2351 (2003).

    Article  CAS  PubMed  Google Scholar 

  16. K. Kawaguchi, S. Uemura, S. Ishiwata, Biophys. J. 84, 1103 (2003).

    CAS  PubMed  Google Scholar 

  17. A. Parmeggiani, PhD Thesis, Université Paris VII (2001).

  18. H. Risken, The Fokker-Planck Equation (Springer-Verlag, Berlin, 1989).

  19. P. Reimann, Phys. Rep. 361, 57 (2002).

    Article  CAS  Google Scholar 

  20. J. Kirchner, S. Seiler, S. Fuchs, M. Schliwa, EMBO J. 18, 4404 (1999).

    Article  CAS  PubMed  Google Scholar 

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Correspondence to J. -F. Joanny.

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Zeldovich, K.B., Joanny, J.F. & Prost, J. Motor proteins transporting cargos. Eur. Phys. J. E 17, 155–163 (2005). https://doi.org/10.1140/epje/i2004-10137-6

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  • DOI: https://doi.org/10.1140/epje/i2004-10137-6

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