5 citations · 6 across the 4 of their papers we have counts for
4 papers
Pattern Formation as a Resilience Mechanism in Cancer Immunotherapy
Molly Brennan, Andrew L. Krause, Edgardo Villar-Sepúlveda +1
Mathematical and computational modelling in oncology has played an increasingly important role in not only understanding the impact of various approaches to treatment on tumour gro…
Beyond-all-order asymptotics for homoclinic snaking of localised patterns in reaction-transport systems
Edgardo Villar-Sepúlveda
Spatially localised stationary patterns of arbitrary wide spatial extent emerge from subcritical Turing bifurcations in one-dimensional reaction-diffusion systems. They lie on char…
Designing reaction-cross-diffusion systems with Turing and wave instabilities
Edgardo Villar-Sepúlveda, Alan R. Champneys, Andrew L. Krause
General conditions are established under which reaction-cross-diffusion systems can undergo spatiotemporal pattern-forming instabilities. Recent work has focused on designing syste…
Pattern formation of bulk-surface reaction-diffusion systems in a ball
Edgardo Villar-Sepúlveda, Alan R. Champneys, Davide Cusseddu +1
Weakly nonlinear amplitude equations are derived for the onset of spatially extended patterns on a general class of n-component bulk-surface reaction-diffusion systems in a ball, u…