Nonlinear pattern selection in a mechanical model for morphogenesis

DOI10.1007/BF00275682zbMath0597.92003WikidataQ52650826 ScholiaQ52650826MaRDI QIDQ1079516

James M. Hyman, Alan S. Perelson, George F. Oster, Philip K. Maini, James D. Murray

Publication date: 1986

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

zbMATH Keywords

dispersion relationmesenchymal morphogenesiscell conservation equationsfeather germ formationforce balance equationhexagonal array of cell aggregationsnonlinear least square fittingnonlinear mechanical model for morphogenesisnonlinear mode selectionsequential pattern formation of dermal aggregations

Mathematics Subject Classification ID

General biology and biomathematics (92B05) Method of lines for boundary value problems involving PDEs (65N40) Physiological, cellular and medical topics (92Cxx)

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Cites Work

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• A mechanical model for mesenchymal morphogenesis
• Cell traction models for generating pattern and form in morphogenesis
• The chemical basis of morphogenesis