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...

書誌詳細
主要な著者:	Klika, V, Gaffney, E
フォーマット:	Journal article
出版事項:	Royal Society 2017

類似資料

Figures_Klika_Gaffney_History dependence and the continuum approximation breakdown: the impact of domain growth on Turing’s instability
著者:: Gaffney, E
出版事項: (2017)

Turing instabilities are not enough to ensure pattern formation.
著者:: Krause, AL, 等
出版事項: (2024)

Turing patterning in stratified domains
著者:: Krause, AL, 等
出版事項: (2020)

From one pattern into another: analysis of Turing patterns in heterogeneous domains via WKBJ
著者:: Krause, A, 等
出版事項: (2020)

On the speed of propagation in Turing patterns for reaction-diffusion systems
著者:: Klika, V, 等
出版事項: (2024)

Domain size driven instability: self-organisation in systems with advection
著者:: Klika, V, 等
出版事項: (2018)

Modern perspectives on near-equilibrium analysis of Turing systems
著者:: Krause, AL, 等
出版事項: (2021)

Turing pattern outside of the Turing domain
著者:: Flach, E, 等
出版事項: (2006)

Turing instabilities in general systems
著者:: Satnoianu, R, 等
出版事項: (2000)

Turing instabilities in general systems.
著者:: Satnoianu, R, 等
出版事項: (2000)

The dynamics of Turing patterns for morphogen-regulated growing domains with cellular response delays.
著者:: Seirin Lee, S, 等
出版事項: (2011)

The Dynamics of Turing Patterns for Morphogen-Regulated Growing Domains with Cellular Response Delays
著者:: Seirin Lee, S, 等
出版事項: (2011)

Turing conditions for pattern forming systems on evolving manifolds
著者:: Van Gorder, RA, 等
出版事項: (2021)

Bespoke Turing systems
著者:: Woolley, TE, 等
出版事項: (2021)

Data for paper "From One Pattern into Another: Analysis of Turing Patterns in Heterogeneous Domains via WKBJ"
著者:: Krause, A, 等
出版事項: (2019)

Turing Instability of Brusselator in the Reaction-Diffusion Network
著者:: Yansu Ji, 等
出版事項: (2020-01-01)

Concentric ring patterns beyond Turing instability
著者:: M. G. Clerc, 等
出版事項: (2023-01-01)

Turing instability in quantum activator–inhibitor systems
著者:: Yuzuru Kato, 等
出版事項: (2022-09-01)

A hybrid discrete-continuum approach to model Turing pattern formation
著者:: Fiona R. Macfarlane, 等
出版事項: (2020-10-01)

Turing instability in the Lengyel–Epstein fractional Laplacian system
著者:: Salim Zidi
出版事項: (2024-12-01)

Turing instability in the one-parameter Gierer–Meinhardt system
著者:: Revina, Svetlana Vasilyevna, 等
出版事項: (2023-07-01)

Turing instabilities in a mean field model of electrocortical activity
著者:: van Veen Lennaert, 等
出版事項: (2012-07-01)

Investigation of Turing structures formation under the influence of wave instability
著者:: Maxim Borisovich Kuznetsov
出版事項: (2019-06-01)

Turing instability analysis of a singular cross-diffusion problem
著者:: Gonzalo Galiano, 等
出版事項: (2021-06-01)

Gene expression time delays and turing pattern formation systems
著者:: Gaffney, E, 等
出版事項: (2006)

Gene expression time delays and Turing pattern formation systems.
著者:: Gaffney, E, 等
出版事項: (2006)

Data for paper "Turing Patterning in Stratified Domains"
著者:: Krause, A
出版事項: (2020)

Gene expression time delays & Turing pattern formation systems
著者:: Gaffney, E, 等
出版事項: (2006)

Turing's model for biological pattern formation and the robustness problem.
著者:: Maini, P, 等
出版事項: (2012)

Cross-diffusion-driven Turing instability and weakly nonlinear analysis of Turing patterns in a uni-directional consumer-resource system
著者:: Renji Han, 等
出版事項: (2017-08-01)

Stochastic reaction and diffusion on growing domains: Understanding the breakdown of robust pattern formation
著者:: Woolley, T, 等
出版事項: (2011)

Stochastic reaction and diffusion on growing domains: understanding the breakdown of robust pattern formation.
著者:: Woolley, T, 等
出版事項: (2011)

Turing instabilities and pattern formation in a benthic nutrient-microorganism system
著者:: Martin Baurmann, 等
出版事項: (2004-02-01)

Turing Instability and Spatial Pattern Formation in a Model of Urban Crime
著者:: Isabella Torcicollo, 等
出版事項: (2024-04-01)

The ISSN and the Turing machines: the history of a relationship
著者:: Pierre Godefroy
出版事項: (2015-06-01)

Turing's model for biological pattern formation and the robustness problem
著者:: Maini, P, 等
出版事項: (2012)

Turing-Hopf patterns on growing domains: the torus and the sphere
著者:: Sánchez-Garduño, F, 等
出版事項: (2018)

Turing–Hopf patterns on growing domains: The torus and the sphere
著者:: Sánchez-Garduño, F, 等
出版事項: (2018)

Stochastic reaction & diffusion on growing domains: understanding the breakdown of robust pattern formation
著者:: Woolley, T, 等
出版事項: (2011)

The bifurcation analysis of Turing pattern formation induced by delay and diffusion in the Schnakenberg System
著者:: Gaffney, E, 等
出版事項: (2016)