Search Time for a Small Ribbon and Application to Vesicular Release at Neuronal Synapses

DOI10.1137/15M1009512zbMath1329.35321OpenAlexW1770174069WikidataQ58051994 ScholiaQ58051994MaRDI QIDQ3459651

C. Guerrier, David Holcman

Publication date: 11 January 2016

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1009512

zbMATH Keywords

conformal mappingstochastic simulationsLaplace equationfirst passage timenarrow escapemultiscale asymptoticscalcium diffusionneuronal synapsespresynaptic terminalvesicular release

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (1)

Multiscale models and stochastic simulation methods for computing rare but key binding events in cell biology

Cites Work

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• Asymptotic analysis of first passage time problems inspired by ecology
• Brownian dynamics at boundaries and interfaces. In physics, chemistry, and biology
• An Asymptotic Analysis of the Mean First Passage Time for Narrow Escape Problems: Part I: Two-Dimensional Domains
• Brownian Motion in Dire Straits
• The Narrow Escape Problem
• Time scale of diffusion in molecular and cellular biology

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