Heterogeneity induces spatiotemporal oscillations in reaction-diffusion systems

Heterogeneity induces spatiotemporal oscillations in reaction-diffusion systems

We report on an instability arising in activator-inhibitor reaction-diffusion (RD) systems with a simple spatial heterogeneity. This instability gives rise to periodic creation, translation, and destruction of spike solutions that are commonly formed due to Turing instabilities. While this behavior...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Krause, A, Klika, V, Woolley, T, Gaffney, E
Fformat:	Journal article
Cyhoeddwyd:	American Physical Society 2018

Eitemau Tebyg

Data for paper "Heterogeneity Induces Spatiotemporal Oscillations in Reaction-Diffusions Systems"
gan: Krause, A, et al.
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gan: Kozak, M, et al.
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gan: Krause, A, et al.
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gan: Krause, AL, et al.
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gan: Gaffney, E, et al.
Cyhoeddwyd: (2023)

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gan: Klika, V, et al.
Cyhoeddwyd: (2012)

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gan: Klika, V, et al.
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Coloured noise from stochastic inflows in reaction-diffusion systems
gan: Adamer, M, et al.
Cyhoeddwyd: (2019)

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems.
gan: Woolley, T, et al.
Cyhoeddwyd: (2012)

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems.
gan: Woolley, T, et al.
Cyhoeddwyd: (2012)

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems
gan: Woolley, T, et al.
Cyhoeddwyd: (2012)

Concentration-dependent domain evolution in reaction–diffusion systems
gan: Krause, AL, et al.
Cyhoeddwyd: (2023)

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gan: Sargood, A, et al.
Cyhoeddwyd: (2022)

Upscaling the Poisson–Nernst–Planck equations for ion transport in weakly heterogeneous charged porous media
gan: Klika, V, et al.
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gan: Woolley, T, et al.
Cyhoeddwyd: (2011)

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

Data for Paper "Fixed and Distributed Gene Expression Time Delays in Reaction-Diffusion Systems"
gan: Sargood, A, et al.
Cyhoeddwyd: (2022)

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

Turing pattern formation in reaction-cross-diffusion systems with a bilayer geometry
gan: Diaz, A, et al.
Cyhoeddwyd: (2024)

Spatiotemporal chaos and quasipatterns in coupled reaction–diffusion systems
gan: Castelino, JK, et al.
Cyhoeddwyd: (2020)

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

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gan: Klika, V, et al.
Cyhoeddwyd: (2019)

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gan: Satyvir Singh, et al.
Cyhoeddwyd: (2023-10-01)

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

Influence of stochastic domain growth on pattern nucleation for diffusive systems with internal noise
gan: Woolley, T, et al.
Cyhoeddwyd: (2011)

Influence of stochastic domain growth on pattern nucleation for diffusive systems with internal noise
gan: Woolley, T, et al.
Cyhoeddwyd: (2011)

Influence of stochastic domain growth on pattern nucleation for diffusive systems with internal noise.
gan: Woolley, T, et al.
Cyhoeddwyd: (2011)

Analysis of diffusivity of the oscillating reaction components in a microreactor system
gan: Martina Šafranko, et al.
Cyhoeddwyd: (2017-01-01)

Phase-Reduction Approach to Synchronization of Spatiotemporal Rhythms in Reaction-Diffusion Systems
gan: Hiroya Nakao, et al.
Cyhoeddwyd: (2014-05-01)

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

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gan: Akeju, Oluwaseun, et al.
Cyhoeddwyd: (2017)

Spatiotemporal Dynamics of Dexmedetomidine-Induced Electroencephalogram Oscillations.
gan: Oluwaseun Akeju, et al.
Cyhoeddwyd: (2016-01-01)

Stability analysis of non-autonomous reaction-diffusion systems: the effects of growing domains.
gan: Madzvamuse, A, et al.
Cyhoeddwyd: (2010)

Stability analysis of non-autonomous reaction-diffusion systems: the effects of growing domains
gan: Madzvamuse, A, et al.
Cyhoeddwyd: (2010)

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

History dependence and the continuum approximation breakdown: the impact of domain growth on Turing’s instability
gan: Klika, V, et al.
Cyhoeddwyd: (2017)

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gan: Yuri Suchorski, et al.
Cyhoeddwyd: (2018-02-01)

Emergence of coupling-induced oscillations and broken symmetries in heterogeneously driven nonlinear reaction networks
gan: Varsha Sreenivasan, et al.
Cyhoeddwyd: (2017-05-01)