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Bio-Concrete Healing Front: 2D Reaction-Diffusion

A 2D reaction-diffusion counterpart to the 3D bio-concrete slab: calcium-lactate substrate diffuses into the crack from the exposed face and precipitates calcite as it reacts, so the crack seals from the surface inward at a rate genuinely limited by diffusion depth, not a uniform lumped rate.

Climate, Ecology & Environment2DModerate60 FPS📱 Mobile-adapted⇄ 3D version

This is the 2D counterpart to the rotatable 3D bio-concrete slab. Instead of a single lumped healing-rate number applied uniformly everywhere, this view solves a genuine 2D reaction-diffusion PDE across a longitudinal cross-section of the crack: dissolved calcium-lactate/urea substrate diffuses in from the exposed crack mouth with a realistic ionic diffusivity, gets consumed by Michaelis–Menten ureolysis kinetics wherever it arrives, and precipitates calcite that locally clogs the pores and slows further diffusion. The result is a moving healing front — cream-coloured calcite fills in near the surface first while the crack tip, a centimetre or so deeper, lags behind because the substrate simply hasn't diffused that far yet. Tune spore density, calcium-lactate feedstock, temperature and moisture to see how each reshapes both the reaction rate and how deep the healing front can reach.

⚙ Under the hood

A 2D reaction-diffusion cross-section of bio-concrete crack healing: calcium-lactate substrate diffuses in from the exposed crack mouth with a realistic pore diffusivity and precipitates calcite as bacteria consume it, so the crack seals from the surface inward at a rate genuinely limited by diffusion depth rather than a single uniform healing number.

bio-concreteself-healing materialsMICPreaction-diffusioncarbon mineralizationclimate techbacteria

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install