69 citations · 500 across the 43 of their papers we have counts for
7 papers · 1 filter
Search at bounded speed with immigration
Hwai-Ray Tung, Sean D Lawley
Many biophysical search processes employ searchers which enter or "immigrate" into the domain progressively over time. Existing search time estimates can become unphysical for fast…
Universality and ambiguity in extremes of anomalous diffusion
Sean D Lawley
Many biophysical processes begin when the fastest searcher finds a target out of many random searchers, which is called an extreme or fastest first passage time (fFPT). In some mod…
Channel transport: gating, geometry, and heterogeneous diffusion
Sean D Lawley
Channel-mediated transport is ubiquitous in biology. A series of works by different theoreticians have sought to determine how the diffusive flux through a channel depends on (a) s…
Diffusive flux into a stochastically gated tube
Sean D Lawley
Diffusion-influenced reactions in the presence of gates which randomly open and close have been studied for decades in a variety of biophysical and biochemical scenarios. The diffu…
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…
Yet another look at narrow escape through a tube
Victorya Richardson, Yick Hin Ling, Sean D Lawley
The narrow escape problem concerns the time needed for a diffusing particle to exit a confining domain through a small hole in the boundary. While this problem is now well-understo…
Stochastic search with space-dependent diffusivity
Hwai-Ray Tung, Sean D Lawley
The canonical model of stochastic search tracks a randomly diffusing "searcher" until it finds a "target." Owing to its many applications across science and engineering, this peren…