69 citations · 500 across the 43 of their papers we have counts for
8 papers · 1 filter
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…
Subdiffusion-limited fractional reaction-subdiffusion equations with affine reactions: Solution, stochastic paths, and applications
Sean D Lawley
In contrast to normal diffusion, there is no canonical model for reactions between chemical species which move by anomalous subdiffusion. Indeed, the type of mesoscopic equation de…
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…
Bimolecular binding rates for pairs of spherical molecules with small binding sites
Claire E. Plunkett, Sean D. Lawley
Bimolecular binding rate constants are often used to describe the association of large molecules, such as proteins. In this paper, we analyze a model for such binding rates that in…