Aberrant behaviours of reaction diffusion self-organisation models on growing domains in the presence of gene expression time delays

DOI10.1007/s11538-010-9533-4zbMath1201.92023OpenAlexW2132137137WikidataQ51711864 ScholiaQ51711864MaRDI QIDQ611113

Eamonn A. Gaffney, S. Seirin Lee

Publication date: 14 December 2010

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:ac51a023-1201-4974-8fa8-77dfe2cd0388

zbMATH Keywords

Turing pattern formation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Genetics and epigenetics (92D10)

Related Items (10)

The dynamics of Turing patterns for morphogen-regulated growing domains with cellular response delays ⋮ Lateral inhibition-induced pattern formation controlled by the size and geometry of the cell ⋮ Fixed and distributed gene expression time delays in reaction-diffusion systems ⋮ A time-delay in the activator kinetics enhances the stability of a spike solution to the Gierer-Meinhardt model ⋮ Delayed Reaction Kinetics and the Stability of Spikes in the Gierer--Meinhardt Model ⋮ Stability analysis for Schnakenberg reaction-diffusion model with gene expression time delay ⋮ The asymptotic behavior of bacterial and viral diseases model on a growing domain ⋮ The influence of receptor-mediated interactions on reaction-diffusion mechanisms of cellular self-organisation ⋮ Pattern formation by two-layer Turing system with complementary synthesis ⋮ The bifurcation analysis of Turing pattern formation induced by delay and diffusion in the Schnakenberg system

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