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. 2013 Dec 20;8(12):e82617. doi: 10.1371/journal.pone.0082617

Figure 2. A–B: Simulations of spontaneous tissue pattern formation starting from stochastically distributed morphogen on a sphere at different time steps.

Figure 2

A: For a strong coupling between curvature and morphogen expression the system shows strong budding (numerics do not perform properly for Inline graphic since the approach is only able to handle medium geometry changes; the likely equilibrium shape consists of fully budded morphogen patches). B: For a weak coupling between curvature and morphogen expression the system reaches a symmetric mechanical equilibrium at Inline graphic. C–D: Equilibrium patterns are insensitive to different choices of initial conditions. C: Plot of total morphogen level Inline graphic during tissue development for different values Inline graphic (green dashed line), Inline graphic (red line) and Inline graphic (blue dotted line). D: Corresponding equilibrium patterns. In all simulations red and blue color depicts high and low morphogen levels, respectively.