General Substrate Dependence of nmin. nmin vs. substrate concentration, measured in units of KM. NL determines the asymptotic limit at low substrate concentrations while NS determines the asymptotic limit at saturating substrate concentrations. The parameter α determines the height of the peak between these two asymptotic limits. The solid red curve corresponds to NL = 2.5, NS = 1, and α = 0. The solid blue curve corresponds to NL = 1, NS = 3, and α = 0. The dashed lines correspond to the same values as the solid curves but with α = 0.3.