On a tissue interaction model for skin pattern formation

DOI10.1007/BF02429856zbMath0900.92029MaRDI QIDQ1373268

James D. Murray, Gerhard C. Cruywagen

Publication date: 2 March 1998

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

zbMATH Keywords

morphogenesisspatial patternsmechanochemical modelcell adhesion moleculesreaction-diffusion chemotaxis

Mathematics Subject Classification ID

Developmental biology, pattern formation (92C15)

Related Items (10)

Bifurcating spatial patterns arising from travelling waves in a tissue interaction model ⋮ Travelling waves in a tissue interaction model for skin pattern formation ⋮ Two dimension spatial pattern formation in a coupled autocatalysis system ⋮ On mechano-chemical calcium waves ⋮ Turing patterning in stratified domains ⋮ Numerical approximation of a 3D mechanochemical interface model for skin patterning ⋮ Symmetric patterns in the Dirichlet problem for a two-cell cubic autocatalytor reaction model. ⋮ Mechanical models of pattern and form in biological tissues: the role of stress-strain constitutive equations ⋮ Traveling wave solutions of a model of skin pattern formation in a singular case ⋮ Keratinocyte growth factor signalling: A mathematical model of dermal-epidermal interaction in epidermal wound healing

Cites Work

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• A mechanical model for mesenchymal morphogenesis
• Cell traction models for generating pattern and form in morphogenesis
• Pattern selection in biological pattern formation mechanisms
• The mechanochemistry cytogels
• Analysis of a Model for Complex Skin Patterns
• The chemical basis of morphogenesis

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