102 citations · 207 across the 7 of their papers we have counts for
5 papers · 1 filter
Travelling wave analysis of cellular invasion into surrounding tissues
Maud El-Hachem, Scott W McCue, Matthew J Simpson
Single-species reaction-diffusion equations, such as the Fisher-KPP and Porous-Fisher equations, support travelling wave solutions that are often interpreted as simple mathematical…
Travelling waves, blow-up and extinction in the Fisher-Stefan model
Scott W. McCue, Maud El-Hachem, Matthew J. Simpson
While there is a long history of employing moving boundary problems in physics, in particular via Stefan problems for heat conduction accompanied by a change of phase, more recentl…
Mean exit time for diffusion on irregular domains
Matthew J Simpson, Daniel J Vandenheuvel, Joshua M Wilson +2
Many problems in physics, biology, and economics depend upon the duration of time required for a diffusing particle to cross a boundary. As such, calculations of the distribution o…
Bayesian uncertainty quantification for data-driven equation learning
Simon Martina-Perez, Matthew J. Simpson, Ruth E. Baker
Equation learning aims to infer differential equation models from data. While a number of studies have shown that differential equation models can be successfully identified when t…
Extinction of bistable populations is affected by the shape of their initial spatial distribution
Yifei Li, Stuart T. Johnston, Pascal R. Buenzli +2
The question of whether biological populations survive or are eventually driven to extinction has long been examined using mathematical models. In this work we study population sur…