Morphogenetic Field: Reaction-Advection-Diffusion —
Turing's reaction-diffusion theory (1952) explains biological pattern formation: an activator (u) and inhibitor (v)
interact via Gray-Scott kinetics with an advective flow term v⃗·∇u, modeling morphogen transport in
developing tissue. Advection breaks symmetry — patterns align with or drift against flow.
f=feed, k=kill, Du/Dv=diffusion ratio determines spots vs. stripes.