Phyllotaxis and patterns on plants
Phyllotaxis and patterns on plants
Phyllotaxis and patterns on plants
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Mechanical FactorsFvKD Equati<strong>on</strong>(Describing deformati<strong>on</strong> of thin elastic shells):ζw t + D∆ 2 w + N∆ χw + 1R α∆ ρf − [f , w] + κw + γw 3 = 01Eh ∆2 f − 1R α∆ ρw + 1 [w, w] = 02w(r, α): out-of-surface deformati<strong>on</strong>. f (r, α): in-plane stress.Combined ModelAlan C. Newell, Zhiying Sun, Patrick D. Shipman<str<strong>on</strong>g>Phyllotaxis</str<strong>on</strong>g> <str<strong>on</strong>g>and</str<strong>on</strong>g> <str<strong>on</strong>g>patterns</str<strong>on</strong>g> <strong>on</strong> <strong>plants</strong>