Pattern formation in reaction-diffusion models with nonuniform growth

Pattern formation in reaction-diffusion models with nonuniform growth

Recent examples of biological pattern formation where a pattern changes qualitatively as the underlying domain grows have given rise to renewed interest in the reaction-diffusion (Turing) model for pattern formation. Several authors have now reported studies showing that with the addition of domain...

Descrizione completa

Dettagli Bibliografici
Autori principali:	Crampin, E, Hackborn, W, Maini, P
Natura:	Journal article
Pubblicazione:	2002

Documenti analoghi

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

Reaction-diffusion models for biological pattern formation
di: Crampin, E, et al.
Pubblicazione: (2001)

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

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

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

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

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

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

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

Pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients
di: Maini, P, et al.
Pubblicazione: (1992)

PATTERN-FORMATION IN REACTION DIFFUSION-MODELS WITH SPATIALLY INHOMOGENEOUS DIFFUSION-COEFFICIENTS
di: Maini, P, et al.
Pubblicazione: (1992)

ANALYSIS OF PATTERN-FORMATION IN REACTION-DIFFUSION MODELS WITH SPATIALLY INHOMOGENOUS DIFFUSION-COEFFICIENTS
di: Benson, D, et al.
Pubblicazione: (1993)

Analysis of pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients
di: Benson, D, et al.
Pubblicazione: (1993)

Pattern formation in spatially heterogeneous Turing reaction-diffusion models
di: Page, K, et al.
Pubblicazione: (2003)

Pattern formation in spatially heterogeneous Turing reaction-diffusion models
di: Page, K, et al.
Pubblicazione: (2003)

PATTERN-FORMATION MECHANISMS - A COMPARISON OF REACTION-DIFFUSION AND MECHANOCHEMICAL MODELS
di: Murray, J, et al.
Pubblicazione: (1989)

Pattern formation mechanisms - a comparison of reaction diffusion and mechanochemical models
di: Murray, J, et al.
Pubblicazione: (1989)

Speed of pattern appearance in reaction-diffusion models: Implications in the pattern formation of limb bud mesenchyme cells
di: Miura, T, et al.
Pubblicazione: (2004)

Speed of pattern appearance in reaction-diffusion models: implications in the pattern formation of limb bud mesenchyme cells.
di: Miura, T, et al.
Pubblicazione: (2004)

Periodic pattern formation in reaction-diffusion systems: an introduction for numerical simulation.
di: Miura, T, et al.
Pubblicazione: (2004)

Periodic pattern formation in reaction-diffusion systems -an introduction for numerical simulation
di: Miura, T, et al.
Pubblicazione: (2004)

Complex pattern formation in reaction diffusion systems with spatially-varying parameters
di: Page, K, et al.
Pubblicazione: (2005)

Complex pattern formation in reaction-diffusion systems with spatially varying parameters
di: Page, K, et al.
Pubblicazione: (2005)

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

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

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

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

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

Mathematical models for biological pattern formation, In On Growth and Form
di: Maini, P
Pubblicazione: (1999)

Oscillatory Turing Patterns in a Simple Reaction-Diffusion System
di: Liu, R, et al.
Pubblicazione: (2007)

Oscillatory Turing patterns in a simple reaction-diffusion system
di: Liu, R, et al.
Pubblicazione: (2007)

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

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

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

Quadrupole stability in nonuniform fill patterns
di: F. J. Cullinan, et al.
Pubblicazione: (2022-04-01)

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

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

Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation
di: Satnoianu, R, et al.
Pubblicazione: (2001)

Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation
di: Satnoianu, R, et al.
Pubblicazione: (2001)

A comparison of reaction diffusion and mechanochemical models for limb development
di: Maini, P
Pubblicazione: (1991)