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Hill Coefficient

A quantitative measure of receptor binding affinity, reflecting the degree of cooperativity in ligand-receptor interactions, expressed as \lambda.
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The statement of the theorem

The relationship between the measured response RR (e.g., enzyme activity or binding) and the ligand concentration [L][L] is described by the Hill equation: \n\nR([L])=[L]λK0.5λ+[L]λR([L]) = \frac{[L]^{\lambda}}{K_{0.5}^{\lambda} + [L]^{\lambda}} \n\nwhere K0.5K_{0.5} is the concentration of ligand required to achieve half-maximal response (R/2R/2), and λ\lambda is the Hill coefficient. The coefficient λ\lambda quantifies the degree of cooperativity: λ=1\lambda = 1 indicates non-cooperative binding (hyperbolic), λ>1\lambda > 1 indicates positive cooperativity (sigmoidal), and λ<1\lambda < 1 indicates negative cooperativity.
Source: Wikipedia