Model calculations of the 1 H/2H, l2C/l?C. and ,60/'l80 kinetic and equilibrium isotope effects at the starred positions for the carbonyl addition reaction of HjCC*H*0* with HO*have been made for two closely related sets of force fields, and for both curved and perpendicular trajectories of nucleophilic approach to carbonyl, for a series of possible transition-state structures at temperatures from 273 to 323 K. In all calculations, the geometrical features and force constants were assumed to change from reactant values toward product values in proportion to the Pauling bond order B of the nucleophile -carbonyl bond. The «-deuterium and /3-deuterium effects are nearly linear functions of B and should be good and consistent probes of transition-state structure. The carbonyl-18# effect is normal and increases steadily with B, as expected. The nucleophile-18# effect is normal for B < 0.5 and inverse for later transition states. The carbonyl-13C is about 1.03 for early transition states and falls to an inverse equilibrium effect. No strikingly anomalous temperature dependences were calculated.Carbonyl-addition reactions, exemplified by the process of eq 1, are of interest in chemistry and biochemistry3•4 and the understanding of their dynamics in terms of transition-state structure is the topic of much current research.5 A very appealing and effective approach to learning the structure of such transition states lies in the use of kinetic isotope effects.5 7 We have employed vibrational analysis of model structures8•9 for the transition state of eq 1 to explore relationships of such CHjCHO + HO CH.j CH.CH(1) OH structures to the following isotopic probes: (1) the «-deuterium secondary isotope effect10 (for the hydrogen attached to the electrophilic carbon); this effect is expected to be inverse (ko > k h), arising from restrictions to motion of the « hydrogen
Molecular mechanics and dynamics combined with semiempirical calculations were carried out for purposes of comparison of the active site characteristics of AChE, trypsin, and chymotrypsin as probed by their diastereomeric adducts with 2-(3,3-dimethylbutyl) methylphosphonofluoridate (soman), methylphosphonate monoester anions, and tetravalent carbonyl intermediates of the reactions of the natural substrates in each case. Glu199 is a key residue in the electrostatic catalytic mechanism of AChE, in removal of the leaving group, and possibly by acting as an alternate general base catalyst. "Pushing" of an alkoxy ligand by Glu199 and the numerous small van der Waals interactions promote dealkylation in phosphonate adducts of AChE much more effectively than any other enzyme. A high concentration of negative charge created by the phosphonate ester monoanion and Glu199 adjacent to it fully accounts for the resistance to the attack of even the strongest nucleophile applied for enzyme reactivation. Stabilization of the developing negative charge on the phosphonates in the soman-inhibited PSCS adducts of serine hydrolases is by electrophilic residues in the oxyanion hole (AChE) and the protonated catalytic His. PR diastereomers of soman-inhibited AChE can be accommodated in an orientation in which the oxyanion hole interactions are lost and for which the stabilizing interactions are 17-26 kcal/mol smaller than in the PS diastereomer. The dealkylation reaction is almost equally likely in all diastereomers of soman-inhibited AChE. The stabilizing interaction energies are approximately 4 kcal/mol greater in the PR than in the PS adducts of the soman-inhibited serine proteases. There is 0.60 unit greater partial negative charge on the phosphonyl fragment in the anion of phosphonate monoesters of Ser than at the oxygens of tetravalent carbonyl transients resulting in approximately 12-22 kcal/mol greater stabilization of the former than the latter.
The pH-dependence and solvent isotope effects of dealkylation in diastereomeric adducts of Electric eel (Ee) and fetal bovine serum (FBS) acetylcholinesterase (AChE) inactivated with P(-)C(+) and P(-)C(-) 2-(3,3-dimethylbutyl) methylphosphonofluoridate (soman) were studied at 4.0 +/- 0.2 degrees C. The rate constant versus pH profiles were fit to a bell-shaped curve for all adducts. Best fit parameters are pK1 4.4-4.6 and pK2 6.3-6.5 for Ee AChE and pK1 4.8-5. 0 and pK2 5.8 for FBS AChE. The pKs are consistent with catalytic participation of the Glu199 anion and HisH+440. Maximal rate constants (kmax) are 13-16 x 10(-3) s-1 for Ee AChE and 8 x 10(-3) s-1 for FBS AChE. The solvent isotope effects at the pH maxima are 1.1-1.3, indicating unlikely proton transfer at the enzymic transition states for the dealkylation reaction. Slopes of log rate constant versus pH plots are near 1 at 25.0 +/- 0.2 degrees C between pH 7.0 and 10.0. In stark contrast, the corresponding adducts of trypsin are very stable even at 37.0 +/- 0.2 degrees C. The rate constants for diastereomers of soman-inhibited trypsin at 37.0 +/- 0.2 degrees C are pH independent and approximately 10(4) times smaller than kmax for analogous adducts with AChE. Dealkylation in soman-inhibited AChEs is estimated to occur at >10(10) times faster than a plausible nonenzymic reaction. Up to 40% of the catalytic acceleration can be attributed to an electrostatic push, and an electrostatic pull provides much of the balance. The results of this work together with results of a product analysis by Michel et al. (1969) can be explained by an initial and rate-determining methyl migration from Cbeta to Calpha. This is driven by the high electron density of residues (Glu199 and Trp84) at a crowded active site and may be concerted with C-O bond breaking. The positive charge at the rate-determining transition state is distributed between Cbeta and His440. A tertiary carbocation may have a fleeting existence before it is trapped by water or neighboring electrons which is likely to be promoted by Glu199 as the proton acceptor.
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