Hill equation: E(EC_50)=E_max/2; E/(E_max−E)=(C/EC_50)^n; C_x=EC_50·(x/(1−x))^{1/n}

Layer 3 — Biologyin the neuropharmacology subtree

Sympy-exact symbolic witness of the Hill sigmoidal dose-response canonical form and three canonical identity anchors. Setup: C (dose, positive), n (Hill coefficient, positive), E_max (maximum effect, positive), EC_50 (half-maximal dose,…

Related concepts

Hill equation: E = E_max·C^n/(EC_50^n + C^n); cooperative-binding sigmoid (1910)

Explore Hill equation: E(EC_50)=E_max/2; E/(E_max−E)=(C/EC_50)^n; C_x=EC_50·(x/(1−x))^{1/n} on the interactive knowledge graph →