Hill coefficient

In biochemistry, the binding of a ligand to a macromolecule is often enhanced if there are already other ligands present on the same macromolecule (this is known as Cooperative binding). The Hill coefficient, named for Archibald Vivian Hill, provides a way to quantify this effect.

A coefficient of 1 indicates completely independent binding, regardless of how many additional ligands are already bound. Numbers greater than one indicate positive cooperativity, while numbers less than one indicate negative cooperativity. The Hill coefficient was originally devised to explain the cooperative binding of oxygen to Hemoglobin (a system which has a Hill coefficient of 2.8).