Hill Equation
HILL EQUATION : - 🐣Developed by = Archibald Hill in 1910. 🐣Quantitatively describing Cooperative ligand binding to multisubmit proteins. 🐣1 Hb binds = 4 O2 molecules, so Fractional saturation of Hb would be = 🐣Replacement of exponent 4 by n, we can write - 🐣This is known as Hill equation. 🐣Describe = degree of saturation of Hb as as a function of PO2 & 🐣Hill coefficient = measure of the cooperativity of O2 binding. 🐣It measures = degree of cooperativity in ligand (O2) binding. 🐣If n = 1 = reaction is said to be non - cooperative, for ex. Mb -O2 binding, & show hyperbolic curve. 🐣If n < 1 = negative cooperativity , & binding of a legend, decreases affinity of other site for legend binding. 🐣If n > 1 = positive cooperativity & binding of ligand to one site increases affinity of other site for ligand binding, for ex. Hb -O2 binding . 🐣Hill plot for Mb -O2 binding = linear with slop of 1 & 🐣Hill plot
