Figure 2

Magnification of associated Fokker-Planck solutions of Gierer-Meinhardt model with one morphogen in two spatial dimensions. Original solutions were obtained over the domain  x ∈ [-3.15, 3.15]. Cases correspond to parameters (left) b = -0.02, (middle) b = 0, and (right) b = 0.02. The Fokker-Planck equation was solved in Comsol, until steady state (total time T = 1000) with a time step of 0.01, and zero-flux boundary conditions. The initial condition was defined as $u\left(x,t=0\right)=e^{-x^2}$ over the domain, and a diffusion coefficient D = 0.1  was used. Dotted lines are used to emphasize differences between local optima.