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...

Disgrifiad llawn

Manylion Llyfryddiaeth
Prif Awduron:	Crampin, E, Hackborn, W, Maini, P
Fformat:	Journal article
Cyhoeddwyd:	2002

Eitemau Tebyg

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

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

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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)

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

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

Mode transitions in a model reaction-diffusion system driven by domain growth and noise.
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Cyhoeddwyd: (2006)

Mode transitions in a model reaction-diffusion system driven by domain growth and noise
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Cyhoeddwyd: (2006)

Mode doubling and tripling in reaction-diffusion patterns on growing domains: A piece-wise linear model
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Cyhoeddwyd: (2002)

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Analysis of pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients
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Cyhoeddwyd: (1993)

Pattern formation in spatially heterogeneous Turing reaction-diffusion models
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Cyhoeddwyd: (2003)

Pattern formation in spatially heterogeneous Turing reaction-diffusion models
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Cyhoeddwyd: (2003)

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Pattern formation mechanisms - a comparison of reaction diffusion and mechanochemical models
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Speed of pattern appearance in reaction-diffusion models: Implications in the pattern formation of limb bud mesenchyme cells
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Speed of pattern appearance in reaction-diffusion models: implications in the pattern formation of limb bud mesenchyme cells.
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Cyhoeddwyd: (2004)

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

Turing pattern formation in reaction-cross-diffusion systems with a bilayer geometry
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Oscillatory Turing Patterns in a Simple Reaction-Diffusion System
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Cyhoeddwyd: (2007)

Oscillatory Turing patterns in a simple reaction-diffusion system
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Quadrupole stability in nonuniform fill patterns
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Spatial heterogeneity localizes Turing patterns in reaction-cross-diffusion systems
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Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation
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Travelling waves in a nonlinear degenerate diffusion model for bacterial pattern formation
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