A bifurcation analysis of pattern formation in a diffusion governed morphogenetic field

DOI10.1007/BF00276349zbMath0364.73098WikidataQ52816410 ScholiaQ52816410MaRDI QIDQ1241125

D. Zanacca, Alfredo Porati, Maria Ilde Granero

Publication date: 1977

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

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Biomechanical solid mechanics (74L15)

Related Items (14)

Point-condensation for a reaction-diffusion system ⋮ Effect of preassigned gradient on pattern formation and morphogenesis during embryogenesis ⋮ A non-linear analysis for spatial structure in a reaction-diffusion model ⋮ Stability of bifurcating solutions of the Gierer-Meinhardt system ⋮ Morphogen pattern formation and development in growth ⋮ Pattern formation in morphogenesis. Analytical treatment of the Gierer- Meinhardt model on a sphere ⋮ Reaction-diffusion systems in the Gierer-Meinhardt theory of biological pattern formation ⋮ Stationary solutions of reaction-diffusion equations ⋮ Analytical treatment of pattern formation in the Gierer-Meinhardt model of morphogenesis ⋮ Spatial patterns for an interaction-diffusion equation in morphogenesis ⋮ Mathematical analysis of an activation-inhibition system in a discrete field ⋮ Activation-inhibition model for branching of a filamentous organism ⋮ Pattern formation in a bistable ionic reaction-diffusion system ⋮ Pattern formation and morphogenesis: A reaction-diffusion model

Cites Work

• Unnamed Item
• 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
• Topics in stability and bifurcation theory

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