pH-Induced Change in the Rate-Determining Step for the Hydrolysis of the Asp/Asn-Derived Cyclic-Imide Intermediate in Protein Degradation Minli Xie, David Vander Velde, Martha Morton, Ronald T. Borchardt, and Richard L. Schowen* Department of Pharmaceutical Chemistry and NMR Laboratory, The UniVersity of Kansas Lawrence, Kansas 66046 ReceiVed February 26, 1996 The ring-opening reaction of the cyclic imide shown in Scheme 1, the key intermediate in the degradation of proteins and peptides at Asp and Asn “hot spots,” 1 proceeds by rate- limiting C-N bond fission at pH 1-4 and by rate-limiting attack of water at higher pHs, as shown by 18 O-exchange into both carbonyl groups of the cyclic imide below pH 4 but not at higher pHs (Figure 1). The transition states for formation and decomposition of the intermediate T ° are identical to those for cyclic-imide formation at Asp residues in proteins. Thus protein instability at pH > 5, deriving from cyclization at Asp residues to form the cyclic imide, results from a relatively low free energy of the transition state for the expulsion of water from the tetrahedral intermediate T ° (Scheme 1), following rapid, reversible C-N bond formation. The greater stability of proteins at pH < 5 results from a relatively high free energy of the transition state for C-N bond formation to generate T °. Similar considerations may apply to cyclization at Asn residues in proteins. Figure 1 shows the pH-rate profile for the 18 O-exchange and hydrolysis reactions of the two cyclic imides shown in Scheme 1. In the region of pH 6-8, the filled triangles denote the rates of loss of the cyclic imide at 50 °C determined by capillary electrophoresis (CE). For pH 5.9-8.0, no 18 O-exchange into the carbonyl groups of the cyclic imide was observed (k < 1.6 × 10 -8 s -1 ), which indicates that the attack of water on both the R- and -carbonyl groups is rate determining. However, in the region of pH 1-4, exchange was observed: the filled symbols denote the rate constants for 18 O-exchange into the R-carbonyl group (squares) and the -carbonyl group (circles) of the cyclic imide, while only minimal hydrolysis was observed at pH 3.9 (k ca. 8 × 10 -8 s -1 ), and none at pH 1.9 (k < 3 × 10 -10 s -1 ). The results indicate that in the pH region of 1.9- 4, the rate-determining step of cyclic-imide breakdown is C-N bond fission (leaving-group expulsion), while in the pH range 5.5-8, the rate-determining step is C-O bond formation (water attack). A pH-induced change in the rate-determining step occurs at pH 4-5.5. During studies of hydrolysis of the cyclic imide, CE provided a rapid, precise alternative to HPLC. 3 The 13 C-NMR method of Van Etten and co-workers 4 was employed for the 18 O- exchange studies. With a Bruker AM-500 NMR spectrometer operating at 125.77 MHz for 13 C, the two carbonyl groups are well resolved with the R-carbonyl signal at 180.7 ppm and the -carbonyl signal at 179.9 ppm in H 2 18 O (60-80%) solution with 20% D 2 O. The signal for an 18 O-labeled carbonyl has an upfield shift of 0.04 ppm from the original 16 O-carbonyl signal, permitting the concentration of 18 O-labeled cyclic imides to be followed as a function of time (Figure 2). The relative amount of 16 O- and 18 O-carbonyl groups can be determined from the peak heights assuming that there is no isotope effect on the NOEs 4 of the carbonyl carbon signals. These findings are wholly consistent with the mechanism proposed by Capasso et al. 2 on the basis of extensive kinetic studies, a part of which are shown in Figure 1. The 18 O- exchange results now reported in this work show unambiguously that leaving-group expulsion is rate limiting below pH 4 and water attack rate limiting above pH 5.5. The kinetic results alone could not specify which step is rate limiting in the various pH ranges. The solid lines in Figure 1 are plots of eq 1, the kinetic law for the proposed model 2 extended to include an uncatalyzed route of C-N bond fission at very low pH. Hydrolysis is represented in Scheme 1 as proceeding by attack of water at each of the carbonyl groups to form tetrahedral intermediates (shown in the neutral forms T R ° and T °) with total rate constants k 1R and k 1 , followed by breakdown of the (1) (a) Ahren, T. J., Manning, M. C., Eds. Stability of Protein Pharma- ceuticals: Part A. Chemical and Physical Pathways of Protein Degradation; Plenum Press: New York, 1992. (b) Aswad, D. W., Ed. Deamidation and Isoaspartate Formation in Peptides and Proteins; CRC Press, Boca Raton, FL, 1995. (2) Capasso, S.; Kirby, A. J.; Salvadori, S.; Sica, F.; Zagari, A. J. Chem. Soc., Perkin Trans. 2 1995, 437-442. (3) (a) Nielsen, R. G.; Riggin, R. M.; Rickard, E. C. J. Chromatogr. 1989, 480, 393-401. (b) Wu, S.; Teshima, G.; Cacia, J.; Hancock, W. S. J. Chromatogr. 1990, 516, 115-122. (4) Cortes, S. J.; Mega, T. L.; Van Etten, R. L. J. Org. Chem. 1991, 56, 943-947 and references cited therein. Figure 1. Rate constants of hydrolysis and 18 O-exchange for the cyclic imides of Scheme 1 as a function of pH. Open symbols are from the work of Capasso et al. 2 at 37 °C. Filled symbols are from this work at 37 °C (hydrolysis) and 50 °C (exchange). The solid lines are plots of eq 1 with 10 7 k1W ) 4.85 (R), 1.66 ()s -1 ; k1B ) 140 (R), 100 ()M -1 s -1 ; 10 8 k3W ) 5.86 (R), 1.30 ()s -1 ; k3B ) 5537 (R), 1544 ()M -1 s -1 , which are in acceptable agreement with values calculated by Capasso et al. 2 on the basis of a rate law omitting k3W. The rate constants shown for isotope exchange are, in terms of those in Scheme 1, given by k 1x k2x/2(k2x + k3x), where x ) either R or . Scheme 1 8955 J. Am. Chem. Soc. 1996, 118, 8955-8956 S0002-7863(96)00618-X CCC: $12.00 © 1996 American Chemical Society