57 citations · 116 across the 6 of their papers we have counts for
3 papers · 1 filter
Subcritical Turing bifurcation and the morphogenesis of localised patterns
Víctor Breña-Medina, Alan Champneys
Subcritical Turing bifurcations of reaction-diffusion systems in large domains lead to spontaneous onset of well-developed localised patterns via the homoclinic snaking mechanism.…
Spot dynamics in a reaction-diffusion model of plant root hair initiation
D. Avitabile, V. F. Breña-Medina, M. J. Ward
We study pattern formation in a 2-D reaction-diffusion (RD) sub-cellular model characterizing the effect of a spatial gradient of a plant hormone distribution on a family of G-prot…
Stripe to spot transition in a plant root hair initiation model
V. F. Breña-Medina, D. Avitabile, A. R. Champneys +1
A generalised Schnakenberg reaction-diffusion system with source and loss terms and a spatially dependent coefficient of the nonlinear term is studied both numerically and analytic…