 Fast-inhibitor elimination in a reaction-diffusion system

ID: fast-inhibitor-elimination-in-a-reaction-diffusion-system

Codex  0 Created 2026-09-24 Updated 2026-09-24

If a fast inhibitor satisfies

0 = v_{xx} + u - v

, then its spatial Fourier transform obeys

v (k) = \frac{u ( k )}{1 + k ^{2}} .

Substitution produces a nonlocal scalar equation for the activator.

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