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Entropic effects in channel-facilitated transport: Interparticle interactions break the flux symmetry

Alexander M. Berezhkovskii1, Mark A. Pustovoit2, and Sergey M. Bezrukov3

  • 1Mathematical and Statistical Computing Laboratory, Division of Computational Bioscience, Center for Information Technology, National Institutes of Health, Bethesda, Maryland 20892, USA
  • 2St. Petersburg Nuclear Physics Institute, Gatchina 188300, Russia
  • 3Laboratory of Physical and Structural Biology, Program in Physical Biology, Eunice Kennedy Shriver National Institute of Child Health and Human Development, National Institutes of Health, Bethesda, Maryland 20892, USA

Phys. Rev. E 80, 020904(R) – Published 26 August, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.020904

Abstract

We analyze transport through conical channels that is driven by the difference in particle concentrations on the two sides of the membrane. Because of the detailed balance, fluxes of noninteracting particles through the same channel, inserted into the membrane in two opposite orientations, are equal. We show that this flux symmetry is broken by particle-particle interactions so that one of the orientations can be much more efficient for transport under the same external conditions. The results are obtained analytically using a one-dimensional diffusion model and confirmed by three-dimensional Brownian dynamics simulations.

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References (22)

  1. S. W. Cowan, T. Schirmer, G. Rummel, M. Steiert, R. Ghosh, R. A. Pauptit, J. N. Jansonius, and J. P. Rosenbusch, Nature (London) 358, 727 (1992).
  2. L. Z. Song, M. R. Hobaugh, C. Shustak, S. Cheley, H. Bayley, and J. E. Gouaux, Science 274, 1859 (1996).
  3. R. Zwanzig, J. Phys. Chem. 96, 3926 (1992).
  4. D. Reguera and J. M. Rubi, Phys. Rev. E 64, 061106 (2001).
  5. P. Kalinay and J. K. Percus, Phys. Rev. E 78, 021103 (2008).
  6. P. S. Burada, G. Schmid, D. Reguera, J. M. Rubi, and P. Hanggi, Phys. Rev. E 75, 051111 (2007).
  7. B.-Q. Ai and L.-G. Liu, J. Chem. Phys. 128, 024706 (2008).
  8. N. Laachi, M. Kenward, E. Yariv, and K. D. Dorfman, EPL 80, 50009 (2007).
  9. M.-V. Vazquez, A. M. Berezhkovskii, and L. Dagdug, J. Chem. Phys. 129, 046101 (2008).
  10. R. Austin, Nat. Nanotechnol. 2, 79 (2007).
  11. M. Gershow and J. A. Golovchenko, Nat. Nanotechnol. 2, 775 (2007).
  12. L. T. Sexton, L. P. Horne, S. A. Sherrill, G. W. Bishop, L. A. Baker, and C. R. Martin, J. Am. Chem. Soc. 129, 13144 (2007).
  13. I. D. Kosinska, I. Goychuk, M. Kostur, G. Schmid, and P. Hanggi, Phys. Rev. E 77, 031131 (2008).
  14. T. Chou, J. Chem. Phys. 110, 606 (1999).
  15. A. M. Berezhkovskii and S. M. Bezrukov, Chem. Phys. 319, 342 (2005); A. B. Kolomeisky, Phys. Rev. Lett. 98, 048105 (2007); A. Zilman, Biophys. J. 96, 1235 (2009).
  16. S. M. Bezrukov, A. M. Berezhkovskii, M. A. Pustovoit, and A. Szabo, J. Chem. Phys. 113, 8206 (2000); A. M. Berezhkovskii and S. M. Bezrukov, Biophys. J. 88, L17 (2005).
  17. S. M. Bezrukov, A. M. Berezhkovskii, and A. Szabo, J. Chem. Phys. 127, 115101 (2007).
  18. T. L. Hill, Proc. Natl. Acad. Sci. U.S.A. 72, 4918 (1975).
  19. A. M. Berezhkovskii, M. A. Pustovoit, and S. M. Bezrukov, J. Chem. Phys. 126, 134706 (2007).
  20. M. H. Jacobs, Diffusion Processes (Springer, New York, 1967).
  21. Z. Siwy and A. Fulinski, Am. J. Phys. 72, 567 (2004).
  22. Z. Siwy, I. D. Kosinska, A. Fulinski, and C. R. Martin, Phys. Rev. Lett. 94, 048102 (2005).

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