A singular dispersion relation arising in a caricature of a model for morphogenesis

DOI10.1007/BF00276369zbMath0714.92004WikidataQ52427286 ScholiaQ52427286MaRDI QIDQ751529

Nicholas F. Britton

Publication date: 1988

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

zbMATH Keywords

Dirichlet problemwave numberlinear stabilityinitial boundary value problemsdispersion relationNeumann problemmorphogenesisRobin problemharmonic balancebounded one- dimensional domaindomain sizestrongly nonlinear caseweakly nonlinear limit

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Bifurcations in context of PDEs (35B32)

Related Items (1)

Spatial and spatio-temporal patterns in a cell-haptotaxis model

Cites Work

• A mechanical model for mesenchymal morphogenesis
• Cell traction models for generating pattern and form in morphogenesis
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