Appearance and formation of seed and pericarp May be explained by a reaction-diffusion mechanism? A mathematical modeling

DOI10.1016/j.mcm.2011.09.013zbMath1255.65173OpenAlexW2008631643MaRDI QIDQ1931008

Dorian Luis Linero Segrera, Diego Alexander Garzón-Alvarado, Angélica Maria Ramírez Martínez

Publication date: 24 January 2013

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.09.013

zbMATH Keywords

reaction-diffusion systemsTuring patternseedbotany

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Plant biology (92C80)

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Bifurcation of Mixed Mode Reaction–Diffusion Patterns in Spherical Caps, Experimental investigation of the motion of a body with an axisymmetric base sliding on a rough plane, Reaction-diffusion patterns in plant tip morphogenesis: bifurcations on spherical caps

Cites Work

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• A numerical approach to the study of spatial pattern formation in the ligaments of arcoid bivalves
• Reaction-diffusion models for biological pattern formation
• Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains
• Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth
• A moving grid finite element method applied to a model biological pattern generator
• Time-stepping schemes for moving grid finite elements applied to reaction-diffusion systems on fixed and growing domains
• The chemical basis of morphogenesis