Hill: θ=L^n/(K^n+L^n); θ|_{L=K}=1/2 (all n); dθ/dL|_{L=K}=n/(4K); n=2 anchor: 1/(2K)

Layer 3 — Biologyin the glycobiology subtree

Sympy-exact symbolic witness of the Hill multivalent occupancy canonical form, its midpoint half-saturation invariant, and its Hill-slope-at-midpoint formula. Setup: L (ligand concentration), K (half-saturation constant), n (Hill…

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Hill multivalent: θ = L^n/(K^n+L^n); V = V_max·θ; n=Hill-coefficient cooperativity signature

Explore Hill: θ=L^n/(K^n+L^n); θ|_{L=K}=1/2 (all n); dθ/dL|_{L=K}=n/(4K); n=2 anchor: 1/(2K) on the interactive knowledge graph →