Spatial and spatiotemporal pattern formation in generalised Turing systems

DOI10.1016/S0898-1221(96)00198-8zbMath0870.92002OpenAlexW2044669859MaRDI QIDQ678511

Philip K. Maini

Publication date: 22 September 1997

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(96)00198-8

zbMATH Keywords

robustnessboundary conditionspattern formationTuring modelreaction-diffusion modelslimb developmentspatially varying parameterstooth morphogenesis

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15)

Related Items (1)

Oscillatory states and patterns formation in a two-cell cubic autocatalytic reaction-diffusion model subjected to the Dirichlet conditions

Uses Software

• AUTO-86
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Cites Work

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• A mechanical model for mesenchymal morphogenesis
• Bifurcation in a spherical reaction-diffusion system with imposed gradient
• Diffusion driven instability in an inhomogeneous domain
• Bifurcation analysis of nonlinear reaction-diffusion equations. II: Steady state solutions and comparison with numerical simulations
• Analysis of pattern formation in reaction diffusion models with spatially inhomogeneous diffusion coefficients
• Pattern formation in generalized Turing systems. I: Steady-state patterns in systems with mixed boundary conditions
• Bifurcations in Turing systems of the second kind may explain blastula cleavage plane orientation
• The chemical basis of morphogenesis

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