# The 3D narrow capture problem for traps with semipermeable interfaces

@inproceedings{Bressloff2022The3N, title={The 3D narrow capture problem for traps with semipermeable interfaces}, author={Paul C. Bressloff}, year={2022} }

. In this paper we analyze the narrow capture problem for a single Brownian particle diﬀusing in a three-dimensional (3D) bounded domain containing a set of small, spherical traps. The boundary surface of each trap is taken to be a semipermeable membrane. That is, the continuous ﬂux across the interface is proportional to an associated jump discontinuity in the probability density. The constant of proportionality is identiﬁed with the permeability κ . In addition, we allow for discontinuities…

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