Gray-Scott Reaction-Diffusion: Worm Patterns
∂u/∂t = Dᵤ∇²u − uv² + F(1−u) | ∂v/∂t = Dᵥ∇²v + uv² − (F+k)v
Feed rate F
0.055
Kill rate k
0.062
Diffusion ratio Dᵥ/Dᵤ
0.50
Presets
Worms
Spots
Holes
Chaos
Reset & Seed
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Gray-Scott model
(1983)
Species u (activator) feeds at rate F; species v (inhibitor) is produced via autocatalytic reaction uv².
Worm regime
: F≈0.055, k≈0.062 — labyrinths of v-rich filaments that continuously grow, split, and reconnect.
Click canvas to add perturbations. Parameter space is extraordinarily rich — small changes shift between spots, stripes, chaos, and death.