Phyllotaxis and patterns on plants

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Plant <strong>patterns</strong>Challenges:Why Fibonacci?Connection between phyllotactic configurations <strong>and</strong> surfacedeformationsTransitionsUniversality, self similarityAre plant <strong>patterns</strong> seen anywhere else in the physical world orthe laboratory?Alan C. Newell, Zhiying Sun, Patrick D. Shipman<strong>Phyllotaxis</strong> <strong>and</strong> <strong>patterns</strong> on plants
Mechanisms <strong>and</strong> modelsParadigms: Hofmeister (1868),Snow <strong>and</strong> Snow(1950’s)Douady <strong>and</strong> Couder (1990’s)Mechanical stresses:Green, Steele, Dumais (1990’s)Shipman <strong>and</strong> Newell (2005)Biochemical agents: Reinhardt et al (2000)Meyerowitz et al (2007)Traas et al (2007)Coupled model:Growth affects stress/strainStress promotes growth.How do we connect paradigms <strong>and</strong> mechanisms?Alan C. Newell, Zhiying Sun, Patrick D. Shipman<strong>Phyllotaxis</strong> <strong>and</strong> <strong>patterns</strong> on plants
Page 1 and 2: Phyllotaxis <stron
Page 4 and 5: More Examples of Patterns on Plants
Page 6: Diagrams of phylla formationAlan C.
Page 9: Diagrams of phylla formationAlan C.
Page 13 and 14: Biochemical factorsReinhardt (2000)
Page 15 and 16: Biochemical factorsReinhardt (2000)
Page 17 and 18: Mechanical FactorsFvKD Equation(Des
Page 19 and 20: Patterns arising from the governing
Page 21 and 22: Amplitude Equations 1. EquationsLin
Page 23 and 24: OutcomeTheorem: The amplitude equat
Page 25 and 26: PDE SimulationFront propagating out
Page 45 and 46: PDE SimulationAlan C. Newell, Zhiyi
Page 47: TransitionsHow are transitions achi

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