Turing's theory in morphogenesis

DOI10.1007/BF02460606zbMath0394.92004OpenAlexW4245189641WikidataQ52800190 ScholiaQ52800190MaRDI QIDQ1252790

Gregoire Nicolis, Thomas Erneux, Jacques Hiernaux

Publication date: 1978

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02460606

zbMATH Keywords

BifurcationNumerical AnalysisMorphogenesisFormation of Spatial PatternsTuring Models

Mathematics Subject Classification ID

Asymptotic properties of solutions to ordinary differential equations (34D05) General biology and biomathematics (92B05)

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Periodic band pattern as a dissipative structure in ion transport systems with cylindrical shape, Early models of chemical oscillations failed to provide bounded solutions, Effect of preassigned gradient on pattern formation and morphogenesis during embryogenesis, Mesa-type patterns in the one-dimensional Brusselator and their stability, Pattern formation and morphogenesis: A reaction-diffusion model

Cites Work

• Models for cell differentiation and generation of polarity in diffusion- governed morphogenetic fields
• Bifurcation analysis of nonlinear reaction-diffusion equations. II: Steady state solutions and comparison with numerical simulations
• Bifurcation analysis of nonlinear reaction diffusion equations I. Evolution equations and the steady state solutions
• Bifurcation analysis of reaction-diffusion equations. III: Chemical oscillations
• Topics in stability and bifurcation theory
• The chemical basis of morphogenesis
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