Influence of stochastic domain growth on pattern nucleation for diffusive systems with internal noise.

Influence of stochastic domain growth on pattern nucleation for diffusive systems with internal noise.

Show other versions (2)

Numerous mathematical models exploring the emergence of complexity within developmental biology incorporate diffusion as the dominant mechanism of transport. However, self-organizing paradigms can exhibit the biologically undesirable property of extensive sensitivity, as illustrated by the behavior...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Woolley, T, Baker, R, Gaffney, E, Maini, P
Fformat:	Journal article
Iaith:	English
Cyhoeddwyd:	2011

Eitemau Tebyg

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)

Stochastic reaction and diffusion on growing domains: Understanding the breakdown of robust pattern formation
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)

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

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)

Power spectra methods for a stochastic description of diffusion on deterministically growing domains
gan: Woolley, T, et al.
Cyhoeddwyd: (2011)

Power spectra methods for a stochastic description of diffusion on deterministically growing domains.
gan: Woolley, T, et al.
Cyhoeddwyd: (2011)

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

Reaction and diffusion on growing domains: scenarios for robust pattern formation.
gan: Crampin, E, et al.
Cyhoeddwyd: (1999)

Reaction and diffusion on growing domains: Scenarios for robust pattern formation
gan: Crampin, E, et al.
Cyhoeddwyd: (1999)

Mode transitions in a model reaction-diffusion system driven by domain growth and noise.
gan: Barrass, I, et al.
Cyhoeddwyd: (2006)

Mode transitions in a model reaction-diffusion system driven by domain growth and noise
gan: Barrass, I, et al.
Cyhoeddwyd: (2006)

Mode-doubling and tripling in reaction-diffusion patterns on growing domains: a piecewise linear model.
gan: Crampin, E, et al.
Cyhoeddwyd: (2002)

Mode doubling and tripling in reaction-diffusion patterns on growing domains: A piece-wise linear model
gan: Crampin, E, et al.
Cyhoeddwyd: (2002)

Pattern formation in reaction-diffusion models with nonuniform domain growth.
gan: Crampin, E, et al.
Cyhoeddwyd: (2002)

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)

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

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

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

Isolating patterns in open reaction-diffusion systems
gan: Krause, AL, et al.
Cyhoeddwyd: (2021)

Nucleation and Post-Nucleation Growth in Diffusion-Controlled and Hydrodynamic Theory of Solidification
gan: Frigyes Podmaniczky, et al.
Cyhoeddwyd: (2021-04-01)

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

Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems
gan: Gaffney, E, et al.
Cyhoeddwyd: (2023)

Random attractors for stochastic retarded reaction-diffusion equations with multiplicative white noise on unbounded domains
gan: Jia Xiaoyao, et al.
Cyhoeddwyd: (2018-08-01)

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

Analysis of stationary droplets in a generic Turing reaction-diffusion system
gan: Woolley, T, et al.
Cyhoeddwyd: (2010)

Analysis of stationary droplets in a generic Turing reaction-diffusion system.
gan: Woolley, T, et al.
Cyhoeddwyd: (2010)

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

Spatiotemporal behaviour of stochastic and continuum models for biological signalling on stationary and growing domains
gan: Woolley, T, et al.
Cyhoeddwyd: (2012)

Heterogeneity induces spatiotemporal oscillations in reaction-diffusion systems
gan: Krause, A, et al.
Cyhoeddwyd: (2018)

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

A review of the analysis of multiple nucleation with diffusion controlled growth
gan: Hyde, M, et al.
Cyhoeddwyd: (2003)

Effects of different discretisations of the Laplacian upon stochastic simulations of reaction-diffusion systems on both static and growing domains
gan: Bartmanski, BJ, et al.
Cyhoeddwyd: (2021)

Modelling biological pattern formation: The role of domain growth
gan: Crampin, E, et al.
Cyhoeddwyd: (2001)

A mechanism for morphogen-controlled domain growth.
gan: Baker, R, et al.
Cyhoeddwyd: (2007)

A mechanism for morphogen-controlled domain growth
gan: Baker, R, et al.
Cyhoeddwyd: (2007)