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...

पूर्ण विवरण

ग्रंथसूची विवरण
मुख्य लेखकों:	Klika, V, Gaffney, E
स्वरूप:	Journal article
प्रकाशित:	Royal Society 2017

समान संसाधन

Figures_Klika_Gaffney_History dependence and the continuum approximation breakdown: the impact of domain growth on Turing’s instability
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Turing pattern outside of the Turing domain
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Turing instabilities in general systems
द्वारा: Satnoianu, R, और अन्य
प्रकाशित: (2000)

Turing instabilities in general systems.
द्वारा: Satnoianu, R, और अन्य
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The dynamics of Turing patterns for morphogen-regulated growing domains with cellular response delays.
द्वारा: Seirin Lee, S, और अन्य
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Bespoke Turing systems
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प्रकाशित: (2021)

Data for paper "From One Pattern into Another: Analysis of Turing Patterns in Heterogeneous Domains via WKBJ"
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Turing instabilities in a mean field model of electrocortical activity
द्वारा: van Veen Lennaert, और अन्य
प्रकाशित: (2012-07-01)

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द्वारा: Maxim Borisovich Kuznetsov
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द्वारा: Gonzalo Galiano, और अन्य
प्रकाशित: (2021-06-01)

Gene expression time delays and turing pattern formation systems
द्वारा: Gaffney, E, और अन्य
प्रकाशित: (2006)

Gene expression time delays and Turing pattern formation systems.
द्वारा: Gaffney, E, और अन्य
प्रकाशित: (2006)

Data for paper "Turing Patterning in Stratified Domains"
द्वारा: Krause, A
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Gene expression time delays & Turing pattern formation systems
द्वारा: Gaffney, E, और अन्य
प्रकाशित: (2006)

Turing's model for biological pattern formation and the robustness problem.
द्वारा: Maini, P, और अन्य
प्रकाशित: (2012)

Cross-diffusion-driven Turing instability and weakly nonlinear analysis of Turing patterns in a uni-directional consumer-resource system
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Stochastic reaction and diffusion on growing domains: understanding the breakdown of robust pattern formation.
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द्वारा: Martin Baurmann, और अन्य
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Turing Instability and Spatial Pattern Formation in a Model of Urban Crime
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Turing's model for biological pattern formation and the robustness problem
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The ISSN and the Turing machines: the history of a relationship
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द्वारा: Sánchez-Garduño, F, और अन्य
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