Phyllotaxis and patterns on plants

Mechanical FactorsFvKD Equation(Describing deformation 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 deformation. f (r, α): in-plane stress.Alan C. Newell, Zhiying Sun, Patrick D. Shipman<strong>Phyllotaxis</strong> <strong>and</strong> <strong>patterns</strong> on plants