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...

書誌詳細
主要な著者:	Krause, A, Klika, V, Woolley, T, Gaffney, E
フォーマット:	Journal article
出版事項:	American Physical Society 2018

類似資料

Data for paper "Heterogeneity Induces Spatiotemporal Oscillations in Reaction-Diffusions Systems"
著者:: Krause, A, 等
出版事項: (2018)

Pattern formation in reaction-diﬀusion systems with piece-wise kinetic modulation: an example study of heterogeneous kinetics
著者:: Kozak, M, 等
出版事項: (2019)

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

Isolating patterns in open reaction-diffusion systems
著者:: Krause, AL, 等
出版事項: (2021)

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

Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems
著者:: Gaffney, E, 等
出版事項: (2023)

The Influence of Receptor-Mediated Interactions on Reaction-Diffusion Mechanisms of Cellular Self-organisation
著者:: Klika, V, 等
出版事項: (2011)

The influence of receptor-mediated interactions on reaction-diffusion mechanisms of cellular self-organisation
著者:: Klika, V, 等
出版事項: (2012)

The influence of receptor-mediated interactions on reaction-diffusion mechanisms of cellular self-organisation.
著者:: Klika, V, 等
出版事項: (2012)

Coloured noise from stochastic inflows in reaction-diffusion systems
著者:: Adamer, M, 等
出版事項: (2019)

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems.
著者:: Woolley, T, 等
出版事項: (2012)

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems.
著者:: Woolley, T, 等
出版事項: (2012)

Effects of intrinsic stochasticity on delayed reaction-diffusion patterning systems
著者:: Woolley, T, 等
出版事項: (2012)

Concentration-dependent domain evolution in reaction–diffusion systems
著者:: Krause, AL, 等
出版事項: (2023)

Fixed and distributed gene expression time delays in reaction–diffusion systems
著者:: Sargood, A, 等
出版事項: (2022)

Upscaling the Poisson–Nernst–Planck equations for ion transport in weakly heterogeneous charged porous media
著者:: Klika, V, 等
出版事項: (2022)

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)

Data for Paper "Fixed and Distributed Gene Expression Time Delays in Reaction-Diffusion Systems"
著者:: Sargood, A, 等
出版事項: (2022)

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

Turing pattern formation in reaction-cross-diffusion systems with a bilayer geometry
著者:: Diaz, A, 等
出版事項: (2024)

Spatiotemporal chaos and quasipatterns in coupled reaction–diffusion systems
著者:: Castelino, JK, 等
出版事項: (2020)

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

The combined impact of tissue heterogeneity and fixed charge for models of cartilage: the one-dimensional biphasic swelling model revisited
著者:: Klika, V, 等
出版事項: (2019)

On the Spatiotemporal Pattern Formation in Nonlinear Coupled Reaction–Diffusion Systems
著者:: Satyvir Singh, 等
出版事項: (2023-10-01)

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

Influence of stochastic domain growth on pattern nucleation for diffusive systems with internal noise
著者:: Woolley, T, 等
出版事項: (2011)

Influence of stochastic domain growth on pattern nucleation for diffusive systems with internal noise
著者:: Woolley, T, 等
出版事項: (2011)

Influence of stochastic domain growth on pattern nucleation for diffusive systems with internal noise.
著者:: Woolley, T, 等
出版事項: (2011)

Analysis of diffusivity of the oscillating reaction components in a microreactor system
著者:: Martina Šafranko, 等
出版事項: (2017-01-01)

Phase-Reduction Approach to Synchronization of Spatiotemporal Rhythms in Reaction-Diffusion Systems
著者:: Hiroya Nakao, 等
出版事項: (2014-05-01)

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

Spatiotemporal Dynamics of Dexmedetomidine-Induced Electroencephalogram Oscillations
著者:: Akeju, Oluwaseun, 等
出版事項: (2017)

Spatiotemporal Dynamics of Dexmedetomidine-Induced Electroencephalogram Oscillations.
著者:: Oluwaseun Akeju, 等
出版事項: (2016-01-01)

Stability analysis of non-autonomous reaction-diffusion systems: the effects of growing domains.
著者:: Madzvamuse, A, 等
出版事項: (2010)

Stability analysis of non-autonomous reaction-diffusion systems: the effects of growing domains
著者:: Madzvamuse, A, 等
出版事項: (2010)

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

History dependence and the continuum approximation breakdown: the impact of domain growth on Turing’s instability
著者:: Klika, V, 等
出版事項: (2017)

Visualizing catalyst heterogeneity by a multifrequential oscillating reaction
著者:: Yuri Suchorski, 等
出版事項: (2018-02-01)

Emergence of coupling-induced oscillations and broken symmetries in heterogeneously driven nonlinear reaction networks
著者:: Varsha Sreenivasan, 等
出版事項: (2017-05-01)