Mathematical model studies of the comprehensive generation of major and minor phyllotactic patterns in plants with a predominant focus on orixate phyllotaxis
Fig 6
Mathematical and computer simulation analysis of EDC1.
(A) Numerical solutions of parameters that fit the mathematical requirements for normal orixate phyllotaxis in EDC1. The two curves show the solutions obtained using various G values. The closed circles indicate the solutions obtained with G set at 0.1 intervals between 0.1 and 1.0. (B) Stable patterns generated in computer simulations using EDC1 under various parameter settings (201 settings for a, 101 settings for b, 3 settings for G, and thus 201×101×3 = 60,903 simulations in total). The patterns obtained are displayed according to the color legend shown in Fig 3. The white crosses (+) indicate the parameter conditions obtained as numerical solutions of , giving a minimum of I(θ) around θn−4i for normal orixate phyllotaxis, whereas white saltires (×) indicate the parameter conditions obtained as numerical solutions of
giving a maximum of I(θ). (C) Schematic diagrams of typical examples of the phyllotactic patterns generated in the computer simulations. The circled numbers relate the diagrams to the parameter conditions shown in (B).