Fig. 7.

Simulations of Eq. (25) with kinetics given by (50) using parameters FHN1 for isotropic growth on a circular domain. We plot several distributions of u on a domain with linear isotropic growth over the timescale $T_g=10T^{\ast }=20,000$, at times a$T^{\ast }$ (fully developed pattern before growth), b$3T^{\ast }$, c$4T^{\ast }$, d$7T^{\ast }$, e$T=12T^{\ast }$ (the final distribution), and f the same simulation on a static domain. Also note that the domains are not shown to scale; a has a radius that is 4 times smaller than in e or f (Color figure online)