5 papers
Turing Patterning in Stratified Domains
Andrew L. Krause, Václav Klika, Jacob Halatek +4
Reaction-diffusion processes across layered media arise in several scientific domains such as pattern-forming E. coli on agar substrates, epidermal-mesenchymal coupling in developm…
From One Pattern into Another: Analysis of Turing Patterns in Heterogeneous Domains via WKBJ
Andrew L. Krause, Václav Klika, Thomas E. Woolley +1
Pattern formation from homogeneity is well-studied, but less is known concerning symmetry-breaking instabilities in heterogeneous media. It is nontrivial to separate observed spati…
Likely cavitation and radial motion of stochastic elastic spheres
L. Angela Mihai, Thomas E. Woolley, Alain Goriely
The cavitation of solid elastic spheres is a classical problem of continuum mechanics. Here, we study this problem within the context of "stochastic elasticity" where the constitut…
Coloured Noise from Stochastic Inflows in Reaction-Diffusion Systems
Michael F Adamer, Heather A Harrington, Eamonn A Gaffney +1
In this paper we present a framework for investigating coloured noise in reaction-diffusion systems. We start by considering a deterministic reaction-diffusion equation and show ho…
Graph-Facilitated Resonant Mode Counting in Stochastic Interaction Networks
Michael F Adamer, Thomas E Woolley, Heather A Harrington
Oscillations in a stochastic dynamical system, whose deterministic counterpart has a stable steady state, are a widely reported phenomenon. Traditional methods of finding parameter…