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

Čájet eará veršuvnnaid (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...

Bibliográfalaš dieđut
Váldodahkkit:	Woolley, T, Baker, R, Gaffney, E, Maini, P
Materiálatiipa:	Journal article
Almmustuhtton:	Journal of the American Physical Society 2011

Geahča maid

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

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

Stochastic reaction and diffusion on growing domains: Understanding the breakdown of robust pattern formation
Dahkki: Woolley, T, et al.
Almmustuhtton: (2011)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Turing patterning in stratified domains
Dahkki: Krause, AL, et al.
Almmustuhtton: (2020)

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

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

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

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

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

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

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

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

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

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

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