Kinetics and mutangenesis of PAP. (A) Total apparent free energy contributions to catalysis (Δ Gcat) from mutated residues. Values are derived from nucleotidyltransfer (utilizing ATP, CTP or GTP) or pyrophosphorolysis (PPi) reactions. (B) Relative difference free energy changes ΔΔG‡ and ΔΔGES, against the total difference free energy changes for catalysis of nucleotidyltransfer, ΔΔGcat. The ΔΔGcat is the total difference free energy change of a particular enzyme in either reaction utilizing ATP (right) or CTP (left) relative to the cytidylyltransfer reaction, An + MgCTP ⇌ An-C + MgPPi, catalyzed by K215A. The data points for ΔΔG‡ (red) and ΔΔGES (blue) are relative to the appropriate term for the cytidylyltransfer reaction of the K215A and Y224F mutant (the lowest value in each case), respectively. Large values on the y-axis indicate either a faster rate, V1 (ΔΔG‡), or greater free energy release upon formation of the Michaelis complex (ΔΔGES) relative to the reference reaction. (C and D) Thermodynamics of PAP substrate specificity and catalysis. The free energy change upon E+A+B ⇌ EAB is a function of the product of KiaKib (or KaKib). Here, the relative difference free energies were calculated using Kb as the substrate binding term, rather than KiaKb., thus ΔGES here refers to EA+B ⇌ EAB. This comparison is valid since the Kia term for the mutants were determined to be essentially invariant. In each case, the magnitude of the energy barrier from EAB to the transition state was calculated using V1; the barrier from the transition state to EAP for wild type and Y224F was calculated using V2 (Table II). (C) Results for the adenylyltransfer reactions catalyzed by wild type PAP (black), Y224F (blue), K215A (green), and for the cytidylyltransfer reaction of w.t. (red). (D) The wild type adenylyltransfer reaction with labels, illustrating ΔG terms discussed in the text. The magnitude of ΔGIB was estimated from the CTP reaction according to: ΔGIB = ΔGcatATP −ΔGcatCTP, and represents the total free energy difference realized upon molecular recognition of the adenine base of ATP (relative to CTP).