1 citations · 1 across the 2 of their papers we have counts for
16 papers
Reaction-subdiffusion equations with species-dependent movement
Amanda M Alexander, Sean D Lawley
Reaction-diffusion equations are one of the most common mathematical models in the natural sciences and are used to model systems that combine reactions with diffusive motion. Howe…
Extreme statistics of superdiffusive Levy flights and every other Levy subordinate Brownian motion
Sean D Lawley
The search for hidden targets is a fundamental problem in many areas of science, engineering, and other fields. Studies of search processes often adopt a probabilistic framework, i…
Revising Berg-Purcell for finite receptor kinetics
Gregory Handy, Sean D Lawley
From nutrient uptake, to chemoreception, to synaptic transmission, many systems in cell biology depend on molecules diffusing and binding to membrane receptors. Mathematical analys…
Singularities of invariant densities for random switching between two linear ODEs in 2D
Yuri Bakhtin, Tobias Hurth, Sean D. Lawley +1
We consider a planar dynamical system generated by two stable linear vector fields with distinct fixed points and random switching between them. We characterize singularities of th…
Anomalous reaction-diffusion equations for linear reactions
Sean D Lawley
Deriving evolution equations accounting for both anomalous diffusion and reactions is notoriously difficult, even in the simplest cases. In contrast to normal diffusion, reaction k…
Extreme first passage times for random walks on networks
Sean D Lawley
Many biological, social, and communication systems can be modeled by ``searchers'' moving through a complex network. For example, intracellular cargo is transported on tubular netw…