(A) Reaction scheme illustrating the principle of processivity (P1…n) for individual adenylation steps (T: TRAMP, A0…n: adenylated RNA species, TA0…n: TRAMP bound to the respective adenylated species, kf1…n: adenylation rate constant for individual step, kdiss1…n: dissociation rate constant for individual step). For more experimental details see Materials and Methods, Supplementary Material, and Fig.S7.
(B) Processivity of TRAMP for individual adenylation steps with the 24 nt ssRNA substrate. The average number of steps (N), shown on the right, corresponds to the processivity according to: P = (N-1)/N (Ali and Lohman, 1997). The dotted line marks P = 0.5, N = 2. Processivity values are the average from multiple independent measurements, the error bars mark one standard deviation.
(C) Processivity of Trf4p/Air2p for individual adenylation steps of the 24 nt ssRNA substrate. Values are the average from multiple independent measurements, the error bars mark one standard deviation.
(D) Actual adenylation rate constants of TRAMP (filled circles) and Trf4p/Air2p (open circles) for individual adenylation steps with the 24 nt ssRNA substrate. Rate constants were calculated according to Eq.S1 with kfn + kdissn = kmaxn (Ali and Lohman, 1997). Values shown were calculated from the data in Figs.3C, 4A and panels B, C, error bars mark one standard deviation.
(E) Dissociation rate constants of TRAMP (filled circles) and Trf4p/Air2p (open circles) for individual adenylation steps with the 24 nt ssRNA substrate. Rate constants were calculated with Eq.S7, using the values for Pn and kfn determined in panels B–D. Error bars mark one corresponding standard deviation.
(F) Free activation enthalpies (ΔG‡) for adenylation (upper panels) and dissociation (middle panels), and the free energy for ATP affinities (ΔG°, lower panels) for individual adenylation steps for TRAMP (left panels) and Trf4p/Air2p (right panels), measured for the 24 nt ssRNA substrate. Free activation enthalpies were calculated according to ΔG‡ = −RT·ln(hk/kbT) (R: gas constant, T: temperature, h: Planck constant, k rate constants determined in panels D,E, kb: Boltzmann constant). Free energies for functional ATP affinities were calculated according to ΔG°= −RT·ln(1/K1/2ATP), using the ATP affinities (K1/2ATP) determined in Fig.3C (TRAMP) and Fig.4A (Trf4p/Air2p).
(G) Mtr4p effects on free activation enthalpies for adenylation (upper panel) and dissociation (middle panel), and on the free energies of functional ATP affinities (lower panels) for individual adenylation steps. The effect is expressed as difference in the respective free activation enthalpies and free energies shown in panel F, e.g., ΔΔG‡ = ΔG‡(TRAMP) − ΔG‡(Trf4p/Air2p). The arrows on the right show how energy differences correspond to slower/faster rate constants and weaker/tighter ATP binding for each adenylation step.