Parameter domains for spots and stripes in mechanical models for biological pattern formation

DOI10.1007/BF01275643zbMath0828.92002OpenAlexW2072061429MaRDI QIDQ1898042

James D. Murray, Mei Zhu

Publication date: 4 January 1996

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01275643

zbMATH Keywords

pattern formationstress tensornonlinear analysisconservation equationstwo spatial dimensionsstripesspotsmechanochemical modelcartilage formationfeather germ primordiainteraction equationsvertebrate limb

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Biomechanics (92C10) Developmental biology, pattern formation (92C15)

Related Items (1)

Chaotic attractors with discrete planar symmetries

Cites Work

• Unnamed Item
• A mechanical model for mesenchymal morphogenesis
• Cell traction models for generating pattern and form in morphogenesis
• Stripes or spots? Nonlinear effects in bifurcation of reaction—diffusion equations on the square
• A Nonlinear Analysis of a Mechanical Model for Biological Pattern Formation
• PARAMETER DOMAINS FOR GENERATING SPATIAL PATTERN: A COMPARISON OF REACTION–DIFFUSION AND CELL-CHEMOTAXIS MODELS
• Pattern formation outside of equilibrium

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