69 citations · 500 across the 43 of their papers we have counts for
46 papers
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…
Escape from heterogeneous diffusion
Hwai-Ray Tung, Sean D Lawley
Many physical processes depend on the time it takes a diffusing particle to find a target. Though this classical quantity is now well-understood in various scenarios, little is kno…
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…
Reaction kinetics of membrane receptors: a spatial modeling approach
Anil Cengiz, Sean D Lawley
The interactions between diffusing molecules and membrane-bound receptors drive numerous cellular processes. In this work, we develop a spatial model of molecular interactions with…
A reaction network model of microscale liquid-liquid phase separation reveals effects of spatial dimension
Jinyoung Kim, Sean D. Lawley, Jinsu Kim
Proteins can form droplets via liquid-liquid phase separation (LLPS) in cells. Recent experiments demonstrate that LLPS is qualitatively different on two-dimensional (2d) surfaces…
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…
Boundary homogenization for partially reactive patches
Claire E Plunkett, Sean D Lawley
A wide variety of physical, chemical, and biological processes involve diffusive particles interacting with surfaces containing reactive patches. The theory of boundary homogenizat…
Hitting probabilities for fast stochastic search
Samantha Linn, Sean D. Lawley
Many physical phenomena are modeled as stochastic searchers looking for targets. In these models, the probability that a searcher finds a particular target, its so-called hitting p…
Fast decisions reflect biases, slow decisions do not
Samantha Linn, Sean D. Lawley, Bhargav R. Karamched +2
Decisions are often made by heterogeneous groups of individuals, each with distinct initial biases and access to information of different quality. We show that in large groups of i…
Competition of many searchers
Sean D Lawley
First passage times (FPTs) are often used to study timescales in physical, chemical, and biological processes. FPTs generically describe the time it takes a random "searcher" to fi…
Cover times of many random walkers on a discrete network
Hyunjoong Kim, Sean D Lawley
The speed of an exhaustive search can be measured by a cover time, which is defined as the time it takes a random searcher to visit every state in some target set. Cover times have…
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…
First Hitting Time of a One-Dimensional Levy Flight to Small Targets
Daniel Gomez, Sean D Lawley
First hitting times (FHTs) describe the time it takes a random "searcher" to find a "target" and are used to study timescales in many applications. FHTs have been well-studied for…
First passage times under frequent stochastic resetting
Samantha Linn, Sean D Lawley
We determine the full distribution and moments of the first passage time for a wide class of stochastic search processes in the limit of frequent stochastic resetting. Our results…
Slowest first passage times, redundancy, and menopause timing
Sean D Lawley, Joshua Johnson
Biological events are often initiated when a random "searcher" finds a "target," which is called a first passage time (FPT). In some biological systems involving multiple searchers…
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…
Designing drug regimens that mitigate nonadherence
Elijah D Counterman, Sean D Lawley
Medication adherence is a well-known problem for pharmaceutical treatment of chronic diseases. Understanding how nonadherence affects treatment efficacy is made difficult by the et…