English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The mean first passage time (MFPT) for a Brownian particle to reach a smalltarget in cellular microdomains is a key parameter for chemical activation.Although asymptotic estimations of the MFPT are available for variousgeometries, these formula cannot be applied to degenerated structures where onedimension of is much smaller compared to the others. Here we study the narrowescape time (NET) problem for a Brownian particle to reach a small targetlocated on the surface of a flat cylinder, where the cylinder height iscomparable to the target size, and much smaller than the cylinder radius. Whenthe cylinder is sealed, we estimate the MFPT for a Brownian particle to hit asmall disk located centrally on the lower surface. For a laterally opencylinder, we estimate the conditional probability and the conditional MFPT toreach the small disk before exiting through the lateral opening. We apply ourresults to diffusion in the narrow synaptic cleft, and compute the fraction andthe mean time for neurotransmitters to find their specific receptors located onthe postsynaptic terminal. Finally, we confirm our formulas with Browniansimulations.

The Narrow Escape problem in a flat cylindrical microdomain with application to diffusion in the synaptic cleft