184 citations · 866 across the 44 of their papers we have counts for
6 papers · 1 filter
Patterning of nonlocal transport models in biology: the impact of spatial dimension
Thomas Jun Jewell, Andrew L. Krause, Philip K. Maini +1
Throughout developmental biology and ecology, transport can be driven by nonlocal interactions. Examples include cells that migrate based on contact with pseudopodia extended from…
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…
Modern Perspectives on Near-Equilibrium Analysis of Turing Systems
Andrew L. Krause, Eamonn A. Gaffney, Philip K. Maini +1
In the nearly seven decades since the publication of Alan Turing's work on morphogenesis, enormous progress has been made in understanding both the mathematical and biological aspe…
Isolating Patterns in Open Reaction-Diffusion Systems
Andrew L. Krause, Václav Klika, Philip K. Maini +2
Realistic examples of reaction-diffusion phenomena governing spatial and spatiotemporal pattern formation are rarely isolated systems, either chemically or thermodynamically. Howev…
A universal route to pattern formation
Malbor Asllani, Timoteo Carletti, Duccio Fanelli +1
Self-organization, the ability of a system of microscopically interacting entities to shape macroscopically ordered structures, is ubiquitous in Nature. Spatio-temporal patterns ar…
Patterns of non-normality in networked systems
Riccardo Muolo, Malbor Asllani, Duccio Fanelli +2
Several mechanisms have been proposed to explain the spontaneous generation of self-organized patterns, hypothesised to play a role in the formation of many of the magnificent patt…