6 papers
Asymptotic Analysis of the Narrow Escape and Berg-Purcell problems on general three-dimensional domains with reactive boundary patches
A. E. Lindsay, A. J. Bernoff, D. S. Grebenkov +2
We present an asymptotic analysis of two diffusive capture problems in general smooth closed three-dimensional geometries with multiple small reactive boundary patches of arbitrary…
The three-dimensional Neumann Green's function for general surfaces: singular asymptotics and boundary integral methods
Alan E. Lindsay, Andrew J. Bernoff, Tristan Goodwill +1
We present an asymptotic analysis and high-order boundary integral method for the three-dimensional Neumann Green's function in general closed and smooth geometries. The Neumann Gr…
Mean first passage times of higher-dimensional velocity jump processes
Maria R. D'Orsogna, Alan E. Lindsay, Thomas Hillen
First passage phenomena arise across physics, biology, and finance when stochastic processes first reach a threshold, triggering downstream events. Examples include the irreversibl…
Single-cell directional sensing at ultra-low chemoattractant concentrations from extreme first-passage events
Vincent Fiorino, Sean D. Lawley, Alan E. Lindsay
We investigate single-cell directional sensing from diffusing chemoattractant signals released by a localized source. We focus on the low-concentration regime in which receptor act…
Boundary Integral Methods for Particle Diffusion in Complex Geometries: Shielding, Confinement, and Escape
Jesse Cherry, Alan E. Lindsay, Bryan D. Quaife
We present a numerical method for the solution of diffusion problems in unbounded planar regions with complex geometries of absorbing and reflecting bodies. Our numerical method ap…
Kinetic Monte Carlo methods for three-dimensional diffusive capture problems in exterior domains
Alan E. Lindsay, Andrew J. Bernoff
Cellular scale decision making is modulated by the dynamics of signalling molecules and their diffusive trajectories from a source to small absorbing sites on the cellular surface.…