Matched asymptotic analysis to solve the narrow escape problem in a domain with a long neck

• Published in: Journal of physics. A, Mathematical and theoretical Vol. 47; no. 50; pp. 505202 - 505219
• Main Author: Xiaofei Li
• Format: Journal Article
• Language: English
• Published: IOP Publishing 19.12.2014
• Subjects: asymptotic expansion; calcium diffusion; dendritic spine; mean first passage time; mixed boundary value problem; narrow escape problem; Neumann-Robin boundary model

In this study, we mainly consider the narrow escape problem (NEP) in a two-dimensional domain with a long neck, which is the two-dimensional analogue of a dendritic spine geometry. The NEP requires the computation of the mean escape time of a Brownian particle starting from the head until it exits f...