Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

The narrow escape problem for diffusion in cellular microdomains.

Z Schuss1, A Singer, D Holcman

  • 1Department of Mathematics, Tel-Aviv University, Ramat-Aviv, Tel-Aviv 69978, Israel.

Proceedings of the National Academy of Sciences of the United States of America
|September 29, 2007
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Revealing Three-Dimensional Structure of an Individual Colloidal Crystal Grain by Coherent X-Ray Diffractive Imaging.

Physical review letters·2016
Same author

[Polypharmacy after Discharge from Hospital: An Analysis Using Data of the Statutory Health Insurance (AOK) of Saxony-Anhalt].

Gesundheitswesen (Bundesverband der Arzte des Offentlichen Gesundheitsdienstes (Germany))·2016
Same author

Improving the forecast for biodiversity under climate change.

Science (New York, N.Y.)·2016
Same author

Photoinduced Enhancement of the Charge Density Wave Amplitude.

Physical review letters·2016
Same author

A scientist's guide for submitting data to ZFIN.

Methods in cell biology·2016
Same author

[The role of reflectance confocal microscopy and optical coherence tomography in the diagnosis of epithelial-cystic conjunctival nevus].

Annales de dermatologie et de venereologie·2016
Same journal

Chemotactic self-organization captures the dynamics of mammalian hair follicle patterning.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Tomographic imaging of superconducting order using particle-hole interference.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Inhibitory potential of autologous neutralizing antibodies sets quantitative limits on the rebound-competent HIV-1 reservoir.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Inferring epidemiological parameters under an infectious phylogeography model with visitor dynamics.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Analytical modeling for suction cup designs for skin-interfaced wearable devices.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Improving cell-free metabolism through direct integration of artificial respiratory chains.

Proceedings of the National Academy of Sciences of the United States of America·2026
See all related articles

This study models how particles escape confined biological spaces through small windows. It provides formulas for mean escape time, crucial for understanding molecular interactions and cellular processes.

Area of Science:

  • Biophysics
  • Computational Biology
  • Chemical Physics

Background:

  • Understanding molecular diffusion in confined biological environments is key.
  • Explicitly defining escape rates based on geometry is challenging.
  • The narrow escape problem models particle diffusion through a small opening.

Purpose of the Study:

  • Derive explicit dependence of escape rates on domain geometry.
  • Obtain asymptotic formulas for mean escape time in various geometries.
  • Apply findings to cellular biology processes.

Main Methods:

  • Modeling Brownian particle diffusion in bounded domains.
  • Analyzing escape through a small window (narrow escape problem).
  • Developing asymptotic formulas for mean escape time.

Related Experiment Videos

Main Results:

  • Derived explicit dependence of escape rates on geometry.
  • Provided asymptotic formulas for mean escape time in 2D and 3D.
  • Demonstrated divergence of escape time as window size decreases.

Conclusions:

  • Mean escape time is a critical parameter for molecular binding and cellular processes.
  • Formulas offer insights into calcium dynamics, chemical reactions, and molecular trafficking.
  • The narrow escape problem provides a framework for studying diffusion in biological microdomains.