The narrow escape problem for diffusion in cellular microdomains

  1. Z. Schuss,
  2. A. Singer, and
  3. D. Holcman§,,
  1. Department of Mathematics, Tel-Aviv University, Ramat-Aviv, Tel-Aviv 69978, Israel;
  2. Department of Mathematics, Program in Applied Mathematics, Yale University, 10 Hillhouse Avenue, PO Box 208283, New Haven, CT 05620-8283;
  3. §Department of Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel; and
  4. Départment de Mathématiques et de Biologie, Ecole Normale Supérieure, 46 Rue d'Ulm, 75005 Paris, France
  1. Communicated by Robert H. Austin, Princeton University, Princeton, NJ, July 13, 2007 (received for review January 15, 2007)

  1. Fig. 1.

    The escape of a Brownian trajectory through a small window.


  2. Fig. 2.

    Homogenization of the PSD. (Right) Scattered free, bound, and scaffolding molecules and other obstacles and fences in the PSD. (Left) A course-grained model with concentrated free (green), bound (orange), and scaffolding and other molecules (brown) (see text). [Reproduced with permission from ref. 29 (Copyright 2006, Biophysical Society).]


Footnotes

  • To whom correspondence should be addressed. E-mail: holcman{at}biologie.ens.fr
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