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A reaction diffusion model for understanding phyllotactic formation

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Publication:263070
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DOI10.1007/S13160-015-0202-8zbMath1336.93029OpenAlexW2257156531MaRDI QIDQ263070

Hirokazu Ninomiya, Yoshitaro Tanaka, Masayasu Mimura

Publication date: 4 April 2016

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13160-015-0202-8


zbMATH Keywords

singular limit analysisphyllotaxisbasipetal transportgolden ratioreaction diffusion model


Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) General biology and biomathematics (92B05) Pattern formations in context of PDEs (35B36)


Related Items (1)

Archimedean Voronoi spiral tilings




Cites Work

  • Out-of-phase oscillations and traveling waves with unusual properties: the use of three-compo\-nent systems in biology
  • A dynamical system for plant pattern formation: A rigorous analysis
  • Some analytical results about two physical models of phyllotaxis
  • Dynamical models of phyllotaxis




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