61 citations · 144 across the 18 of their papers we have counts for
4 papers · 1 filter
Spatial Heterogeneity Localizes Turing Patterns in Reaction-Cross-Diffusion Systems
Eamonn A. Gaffney, Andrew L. Krause, Philip K. Maini +1
Motivated by bacterial chemotaxis and multi-species ecological interactions in heterogeneous environments, we study a general one-dimensional reaction-cross-diffusion system in the…
Concentration-Dependent Domain Evolution in Reaction-Diffusion Systems
Andrew L. Krause, Eamonn A. Gaffney, Benjamin J. Walker
Pattern formation has been extensively studied in the context of evolving (time-dependent) domains in recent years, with domain growth implicated in ameliorating problems of patter…
Fixed and Distributed Gene Expression Time Delays in Reaction-Diffusion Systems
Alec Sargood, Eamonn A. Gaffney, Andrew L. Krause
Time delays, modelling the process of intracellular gene expression, have been shown to have important impacts on the dynamics of pattern formation in reaction-diffusion systems. I…
Turing and wave instabilities in hyperbolic reaction-diffusion systems: The role of second-order time derivatives and cross-diffusion terms on pattern formation
Joshua Ritchie, Andrew L. Krause, Robert A. Van Gorder
Hyperbolic reaction-diffusion equations have recently attracted attention both for their application to a variety of biological and chemical phenomena, and for their distinct featu…