Dependence of kinetic cooperativity on Mg2+ concentration in four CBS-PPases. The panels show (from top to bottom) the catalytic constant kcat, the Michaelis constants Km1 and Km2, and the Hill coefficient h. The enzyme identities are indicated on the top of the panels. Values of kcat were fit to the equation kcat = kcat,0 + (kcat,M − kcat0)/{1 + (KM/[M])n} (with n equal to 1 and 2 for cnPPase and cpPPase, respectively) where kcat,0 and kcat,M are the limiting values of kcat at zero and infinite Mg2+ concentrations, respectively, and KM is the metal binding constant. The lines for Km1 and Km2 show the best fits for Equation 6. The horizontal dotted lines (h = 1) mark the boundary between positive and negative cooperativity. Km values are measured in terms of the MgPPi complex. Error bars represent S.E.