176 citations · 874 across the 40 of their papers we have counts for
3 papers · 1 filter
A continuum mathematical model of substrate-mediated tissue growth
Maud El-Hachem, Scott W McCue, Matthew J Simpson
We consider a continuum mathematical model of biological tissue formation inspired by recent experiments describing thin tissue growth in 3D-printed bioscaffolds. The continuum mod…
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…
Invading and receding sharp-fronted travelling waves
Maud El-Hachem, Scott W McCue, Matthew J Simpson
Biological invasion, whereby populations of motile and proliferative individuals lead to moving fronts that invade into vacant regions, are routinely studied using partial differen…