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The first-passage problem for diffusion through a cylindrical pore with sticky walls

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Abstract

We calculate the first-passage time distribution for diffusion through a cylindrical pore with sticky walls. A particle diffusively explores the interior of the pore through a series of binding and unbinding events with the cylinder wall. Through a diagrammatic expansion we obtain first-passage time statistics for the particle’s exit from the pore. Connections between the model and nucleocytoplasmic transport in cells are discussed.

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References

  1. D. Görlich, U. Kutay, Annu. Rev. Cell Dev. Biol. 15, 607 (1999).

    Article  Google Scholar 

  2. U. Kubitscheck, D. Grnwald, A. Hoekstra, D. Rohleder, T. Kues, J.P. Siebrasse, R. Peters, J. Cell Biol. 168, 233 (2005).

    Article  Google Scholar 

  3. W. Yang, S.M. Musser, J. Cell Biol. 174, 951 (2006).

    Article  Google Scholar 

  4. K. Ribbeck, D. Görlich, EMBO J. 20, 1320 (2001).

    Article  Google Scholar 

  5. W. Yang, J. Gelles, S.M. Musser, Proc. Natl. Acad. Sci. U.S.A. 101, 12887 (2004).

    Article  ADS  Google Scholar 

  6. L.A. Strawn, T. Shen, N. Shulga, D.S. Goldfarb, S.R. Wente, Nat. Cell Biol. 6, 197 (2004).

    Article  Google Scholar 

  7. R.Y.H. Lim, B. Fahrenkrog, J. Köser, K. Schwarz-Herion, J. Deng, U. Aebi, Science 318, 640 (2007).

    Article  ADS  Google Scholar 

  8. S.S. Patel, B.J. Belmont, J.M. Sante, M.F. Rexach, Cell 129, 83 (2007).

    Article  Google Scholar 

  9. S. Otsuka, S. Iwasaka, Y. Yoneda, K. Takeyasu, S.H. Yoshimura, Proc. Natl. Acad. Sci. U.S.A. 105, 16101 (2008).

    Article  ADS  Google Scholar 

  10. B. Nielsen, C. Jeppesen, J.H. Ipsen, J. Biol. Phys. 32, 465 (2006).

    Article  Google Scholar 

  11. A. Zilman, S.D. Talia, B.T. Chait, M.P. Rout, M.O. Magnasco, PLoS Comput. Biol. 3, 1281 (2007).

    Article  Google Scholar 

  12. O. Bénichou, C. Loverdo, M. Moreau, R. Voituriez, Phys. Chem. Chem. Phys. 10, 7059 (2008).

    Article  Google Scholar 

  13. S. Redner, A Guide to First-Passage Processes, 1st edition (Cambridge University Press, Cambridge, 2007).

    MATH  Google Scholar 

  14. J.D. Jackson, Classical Electrodynamics, 3rd edition (Wiley, New York, 1999).

    MATH  Google Scholar 

  15. G.N. Watson, Treatise on the Theory of Bessel Functions, 2nd edition (Cambridge University Press, Cambridge, 1995).

    MATH  Google Scholar 

  16. N.A. Licata, A.V. Tkachenko, Phys. Rev. E 76, 041405 (2007).

    Article  ADS  Google Scholar 

  17. K. Kehr, K. Murthy, H. Ambaye, Physica A 253, 9 (1998).

    Article  Google Scholar 

  18. Z. Schuss, A. Spivak, SIAM 62, 1698 (2002).

    MATH  MathSciNet  Google Scholar 

  19. Z. Schuss, A. Spivak, Chem. Phys. 235, 227 (1998).

    Article  ADS  Google Scholar 

  20. A. Spivak, Z. Schuss, Appl. Math. E-Notes 2, 132 (2002).

    MATH  MathSciNet  Google Scholar 

  21. A. Spivak, Z. Schuss, Appl. Math. E-Notes 3, 147 (2003).

    MATH  MathSciNet  Google Scholar 

  22. D.I. Dimitrov, A. Milchev, K. Binder, J. Chem. Phys. 125, 034905 (2006).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187, Dresden, Germany

    N. A. Licata & S. W. Grill

  2. Max Planck Institute for Molecular Cell Biology and Genetics, Pfotenhauer Straße 108, 01307, Dresden, Germany

    N. A. Licata & S. W. Grill

Authors
  1. N. A. Licata
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  2. S. W. Grill
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Correspondence to N. A. Licata.

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Licata, N.A., Grill, S.W. The first-passage problem for diffusion through a cylindrical pore with sticky walls. Eur. Phys. J. E 30, 439 (2009). https://doi.org/10.1140/epje/i2009-10529-0

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  • DOI: https://doi.org/10.1140/epje/i2009-10529-0

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