Gray-Scott Reaction-Diffusion Complete Mass Transfer Ledger

Choose this endpoint when you need a numerically rigorous Gray-Scott reaction-diffusion simulation with explicit, structured mass-transfer accounting (feed, conversion, removal) for small 2D grids (up to 8x8), particularly when you need to verify mass balance or extract spatiotemporal concentration snapshots at precise timesteps. Prefer this over generic PDE solvers when the Gray-Scott model (two-species autocatalytic reaction with periodic boundary conditions) is your specific target and you require the full ledger output rather than just final-state concentration fields.

• Invalid grid dimensions (must be 4–8 rows and 4–8 columns per axis) return a validation error
• Diffusivity, feed, or conversion values outside [0,1] are rejected
• Timestep outside [0.0001, 0.1] or spacing outside [0.1, 10] cause schema validation failure
• Sample steps exceeding 128 or empty sample_steps array return an error
• Missing required fields (initial_u, initial_v, diffusivity_u, diffusivity_v, feed_rate, conversion_rate, spacing, timestep, sample_steps) result in a 400-level error
• Payment failure (insufficient USDC balance for x402) prevents execution