Gray-Scott Reaction-Diffusion Model

A classic reaction-diffusion system involving two chemicals, U and V. Chemical U is fed into the system and decays, while V turns U into more V. The equations are:
∂u/∂t = Du∇²u - uv² + F(1-u)
∂v/∂t = Dv∇²v + uv² - (F+k)v

Depending on the feed rate (F) and kill rate (k), this model generates a variety of complex patterns including spots, stripes, and dividing cells (mitosis-like behavior), demonstrating how simple chemical interactions can lead to biological pattern formation.