69 citations · 500 across the 43 of their papers we have counts for
18 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…
Passage times of fast inhomogeneous immigration processes
Hwai-Ray Tung, Sean D Lawley
In many biophysical systems, key events are triggered when the fastest of many random searchers find a target. Most mathematical models of such systems assume that all searchers ar…
First passage times with fast immigration
Hwai-Ray Tung, Sean D Lawley
Many scientific questions can be framed as asking for a first passage time (FPT), which generically describes the time it takes a random "searcher" to find a "target." The importan…
Cover times with stochastic resetting
Samantha Linn, Sean D Lawley
Cover times quantify the speed of exhaustive search. In this work, we compute exactly the mean cover time associated with a one-dimensional Brownian search under exponentially dist…
Cover times of many diffusive or subdiffusive searchers
Hyunjoong Kim, Sean D Lawley
Cover times measure the speed of exhaustive searches which require the exploration of an entire spatial region(s). Applications include the immune system hunting pathogens, animals…
Extreme hitting probabilities for diffusion
Samantha Linn, Sean D Lawley
A variety of systems in physics, chemistry, biology, and psychology are modeled in terms of diffusing "searchers" looking for "targets." Examples range from gene regulation, to cel…
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…
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…
Extreme statistics of anomalous subdiffusion following a fractional Fokker-Planck equation: Subdiffusion is faster than normal diffusion
Sean D Lawley
Anomalous subdiffusion characterizes transport in diverse physical systems and is especially prevalent inside biological cells. In cell biology, the prevailing model for chemical a…
Competition between slow and fast regimes for extreme first passage times of diffusion
Jacob B. Madrid, Sean D. Lawley
Many physical, chemical, and biological systems depend on the first passage time (FPT) of a diffusive searcher to a target. Typically, this FPT is much slower than the characterist…
The effects of fast inactivation on conditional first passage times of mortal diffusive searchers
Sean D Lawley
The first time a searcher finds a target is called a first passage time (FPT). In many physical, chemical, and biological processes, the searcher is "mortal," which means that the…
Extreme first passage times of piecewise deterministic Markov processes
Sean D Lawley
The time it takes the fastest searcher out of searchers to find a target determines the timescale of many physical, chemical, and biological processes. This time is called…
Distribution of extreme first passage times of diffusion
Sean D Lawley
Many events in biology are triggered when a diffusing searcher finds a target, which is called a first passage time (FPT). The overwhelming majority of FPT studies have analyzed th…
Universal Formula for Extreme First Passage Statistics of Diffusion
Sean D Lawley
The timescales of many physical, chemical, and biological processes are determined by first passage times (FPTs) of diffusion. The overwhelming majority of FPT research studies the…
Asymptotic and numerical analysis of a stochastic PDE model of volume transmission
Sean D. Lawley, Varun Shankar
Volume transmission is an important neural communication pathway in which neurons in one brain region influence the neurotransmitter concentration in the extracellular space of a d…
Boundary value problems for statistics of diffusion in a randomly switching environment: PDE and SDE perspectives
Sean D. Lawley
Driven by diverse applications, several recent models impose randomly switching boundary conditions on either a PDE or SDE. The purpose of this paper is to provide tools for calcul…
Stochastic switching in infinite dimensions with applications to random parabolic PDEs
Sean D. Lawley, Jonathan C. Mattingly, Michael C. Reed
We consider parabolic PDEs with randomly switching boundary conditions. In order to analyze these random PDEs, we consider more general stochastic hybrid systems and prove converge…
Sensitivity to switching rates in stochastically switched ODEs
Sean D. Lawley, Jonathan C. Mattingly, Michael C. Reed
We consider a stochastic process driven by a linear ordinary differential equation whose right-hand side switches at exponential times between a collection of different matrices. W…