A perturbation analysis of a mechanical model for stable spatial patterning in embryology

DOI10.1007/BF01209529zbMath0802.92004MaRDI QIDQ1322794

Daniel E. Bentil, James D. Murray

Publication date: 9 June 1994

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

zbMATH Keywords

linear analysismorphogenesiswound healingunstable modesmechanical modeldermatoglyphsformation of ridge patternslong-term traction termweakly nonlinear analysis near bifurcation points

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spatial and spatio-temporal patterns in a cell-haptotaxis model
• A mechanical model for mesenchymal morphogenesis
• Cell traction models for generating pattern and form in morphogenesis
• Pattern selection in biological pattern formation mechanisms
• Nonlinear pattern selection in a mechanical model for morphogenesis
• A Nonlinear Analysis of a Mechanical Model for Biological Pattern Formation
• The chemical basis of morphogenesis
• Nonlinear Dynamic Stability: A Formal Theory

This page was built for publication: A perturbation analysis of a mechanical model for stable spatial patterning in embryology