113 citations · 784 across the 51 of their papers we have counts for
8 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…
Spectrogram analysis of surface elevation signals due to accelerating ships
Ravindra Pethiyagoda, Timothy J Moroney, Gregor J Macfarlane +1
Spectrograms provide an efficient way to analyse surface elevation signals of ship waves taken from a sensor fixed at a single point in space. Recent work based on a simplified mod…
Non-vanishing sharp-fronted travelling wave solutions of the Fisher-Kolmogorov model
Maud El-Hachem, Scott W McCue, Matthew J Simpson
The Fisher-KPP model, and generalisations thereof, is a simple reaction-diffusion models of biological invasion that assumes individuals in the population undergo linear diffusion…
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…
Sensitivity and robustness of Lagrangian coherent structures in coastal water systems
Anusmriti Ghosh, K. A. Suara, Scott W. McCue +1
In coastal water systems, horizontal chaotic dispersion plays a significant role in the distribution and fate of pollutants. Lagrangian Coherent Structures (LCSs) provide useful to…