History dependence and the continuum approximation breakdown: the impact of domain growth on Turing’s instability

History dependence and the continuum approximation breakdown: the impact of domain growth on Turing’s instability

A diffusively driven instability has been hypothesised as a mechanism to drive spatial self-organisation in biological systems since the seminal work of Turing. Such systems are often considered on a growing domain, but traditional theoretical studies have only treated the domain size as a bifurcati...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Klika, V, Gaffney, E
Fformat:	Journal article
Cyhoeddwyd:	Royal Society 2017

Eitemau Tebyg

Figures_Klika_Gaffney_History dependence and the continuum approximation breakdown: the impact of domain growth on Turing’s instability
gan: Gaffney, E
Cyhoeddwyd: (2017)

Turing instabilities are not enough to ensure pattern formation.
gan: Krause, AL, et al.
Cyhoeddwyd: (2024)

Turing patterning in stratified domains
gan: Krause, AL, et al.
Cyhoeddwyd: (2020)

From one pattern into another: analysis of Turing patterns in heterogeneous domains via WKBJ
gan: Krause, A, et al.
Cyhoeddwyd: (2020)

On the speed of propagation in Turing patterns for reaction-diffusion systems
gan: Klika, V, et al.
Cyhoeddwyd: (2024)

Domain size driven instability: self-organisation in systems with advection
gan: Klika, V, et al.
Cyhoeddwyd: (2018)

Modern perspectives on near-equilibrium analysis of Turing systems
gan: Krause, AL, et al.
Cyhoeddwyd: (2021)

Turing pattern outside of the Turing domain
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Cyhoeddwyd: (2006)

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Cyhoeddwyd: (2000)

Turing instabilities in general systems.
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Cyhoeddwyd: (2000)

The dynamics of Turing patterns for morphogen-regulated growing domains with cellular response delays.
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Cyhoeddwyd: (2011)

The Dynamics of Turing Patterns for Morphogen-Regulated Growing Domains with Cellular Response Delays
gan: Seirin Lee, S, et al.
Cyhoeddwyd: (2011)

Turing conditions for pattern forming systems on evolving manifolds
gan: Van Gorder, RA, et al.
Cyhoeddwyd: (2021)

Bespoke Turing systems
gan: Woolley, TE, et al.
Cyhoeddwyd: (2021)

Data for paper "From One Pattern into Another: Analysis of Turing Patterns in Heterogeneous Domains via WKBJ"
gan: Krause, A, et al.
Cyhoeddwyd: (2019)

Turing Instability of Brusselator in the Reaction-Diffusion Network
gan: Yansu Ji, et al.
Cyhoeddwyd: (2020-01-01)

Concentric ring patterns beyond Turing instability
gan: M. G. Clerc, et al.
Cyhoeddwyd: (2023-01-01)

Turing instability in quantum activator–inhibitor systems
gan: Yuzuru Kato, et al.
Cyhoeddwyd: (2022-09-01)

A hybrid discrete-continuum approach to model Turing pattern formation
gan: Fiona R. Macfarlane, et al.
Cyhoeddwyd: (2020-10-01)

Turing instability in the Lengyel–Epstein fractional Laplacian system
gan: Salim Zidi
Cyhoeddwyd: (2024-12-01)

Turing instability in the one-parameter Gierer–Meinhardt system
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Cyhoeddwyd: (2023-07-01)

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Cyhoeddwyd: (2012-07-01)

Investigation of Turing structures formation under the influence of wave instability
gan: Maxim Borisovich Kuznetsov
Cyhoeddwyd: (2019-06-01)

Turing instability analysis of a singular cross-diffusion problem
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Cyhoeddwyd: (2021-06-01)

Gene expression time delays and turing pattern formation systems
gan: Gaffney, E, et al.
Cyhoeddwyd: (2006)

Gene expression time delays and Turing pattern formation systems.
gan: Gaffney, E, et al.
Cyhoeddwyd: (2006)

Data for paper "Turing Patterning in Stratified Domains"
gan: Krause, A
Cyhoeddwyd: (2020)

Gene expression time delays & Turing pattern formation systems
gan: Gaffney, E, et al.
Cyhoeddwyd: (2006)

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Cyhoeddwyd: (2012)

Cross-diffusion-driven Turing instability and weakly nonlinear analysis of Turing patterns in a uni-directional consumer-resource system
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Cyhoeddwyd: (2017-08-01)

Stochastic reaction and diffusion on growing domains: Understanding the breakdown of robust pattern formation
gan: Woolley, T, et al.
Cyhoeddwyd: (2011)

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gan: Woolley, T, et al.
Cyhoeddwyd: (2011)

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Cyhoeddwyd: (2004-02-01)

Turing Instability and Spatial Pattern Formation in a Model of Urban Crime
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Cyhoeddwyd: (2024-04-01)

Turing's model for biological pattern formation and the robustness problem
gan: Maini, P, et al.
Cyhoeddwyd: (2012)

The ISSN and the Turing machines: the history of a relationship
gan: Pierre Godefroy
Cyhoeddwyd: (2015-06-01)

Turing-Hopf patterns on growing domains: the torus and the sphere
gan: Sánchez-Garduño, F, et al.
Cyhoeddwyd: (2018)

Turing–Hopf patterns on growing domains: The torus and the sphere
gan: Sánchez-Garduño, F, et al.
Cyhoeddwyd: (2018)

Stochastic reaction & diffusion on growing domains: understanding the breakdown of robust pattern formation
gan: Woolley, T, et al.
Cyhoeddwyd: (2011)

The bifurcation analysis of Turing pattern formation induced by delay and diffusion in the Schnakenberg System
gan: Gaffney, E, et al.
Cyhoeddwyd: (2016)