Travelling waves in a tissue interaction model for skin pattern formation

DOI10.1007/BF00160179zbMath0808.92011WikidataQ52385966 ScholiaQ52385966MaRDI QIDQ1343127

Gerhard C. Cruywagen, Philip K. Maini, James D. Murray

Publication date: 31 January 1995

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

zbMATH Keywords

travelling wave solutionswave speedsphase space analysisexistence of travelling wavestissue interaction modelskin organ primordiaskin pattern formation

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Perturbations in context of PDEs (35B20) Applications to the sciences (65Z05)

Related Items (4)

Bifurcating spatial patterns arising from travelling waves in a tissue interaction model ⋮ Critical conditions for pattern formation and in vitro tubulogenesis driven by cellular traction fields ⋮ Travelling-wave behaviour in a multiphase model of a population of cells in an artificial scaffold ⋮ Traveling wave solutions of a model of skin pattern formation in a singular case

Cites Work

• Bifurcating spatial patterns arising from travelling waves in a tissue interaction model
• On a tissue interaction model for skin pattern formation
• Threshold bifurcation in tissue interaction models for spatial pattern generation
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