Cation-π Interactions in AChE
J. Am. Chem. Soc., Vol. 122, No. 13, 2000 2979
other investigations. Pressman et al. studied reactions of
antibodies homologous to quaternary ammonium haptenic
groups. They found that a hapten that contained the p-
azophenyltrimethylammonium moiety had a 15.5-fold higher
affinity than did the isosteric hapten that contained the p-azo-
tert-butylbenzene moiety. The corresponding Coulomb interac-
-
1
tion energy is -6.3 kJ mol , a value that is in reasonable
agreement with the estimates generated in this paper.
+
Ab initio calculations of cation-π interactions between Na
15
and aromatics indicate that the energy of complexation is about
evenly split between charge-dependent and charge-independent
contributions, just as observed experimentally herein. This
situation also obtains for calculated energies for interaction of
1
6
benzene with ammonium ions. The free energy difference of
-1
-
18.3 kJ mol reported herein for binding of TMTFA to wild-
type AChE versus the Trp86Ala mutant is in good agreement
with calculated free energies of complexation of tetramethyl-
-1 16,17
ammonium ion and benzene in the gas phase, -17 kJ mol ,
-
1 18
in aqueous solution, -13.8 kJ mol , and with the corre-
Figure 4. Linear free-energy correlation between inhibitory potencies
of uncharged and cationic transition state analogue inhibitors of wild-
type and mutant mouse AChEs. pK values for the m-tert-butyl and
i
sponding experimental free energy of association in the gas
-1 19
phase, -14.6 kJ mol . From the results described herein, both
log(kcat/Km) and pKi increase in the sequence Tyr < Phe , Trp
for the various aromatic residues at position 86. This trend agrees
with the trend in calculated binding energies for complexation
m-trimethylammonio inhibitors (TBTFA and TMTFA, respectively)
were calculated from data in Tables 1 and 2 and in Radi c´ et al.2 The
clusters of points are, from left to right, for Trp86Ala, Trp86Tyr,
Trp86Phe, and wild-type enzymes. The solid line is a fit to the following
6c
+
+
of Na and Me4N with the series of aromatics phenol, benzene,
2
0,21
and indole.
equation: pK
i
(TBTFA) ) m‚pK (TMTFA) + C. The parameters of the
i
2
22
fit are m ) 0.42 ( 0.07, C ) 5.4 ( 0.9, and r ) 0.854.
Zhong et al. used the in vivo nonsense-suppression method
to introduce unnatural amino acids into specific positions in
the nicotinic acetylcholine receptor. Large effects of unnatural
amino acid mutagenesis of Trp149 of the R subunit of the
receptor were noted, whereas mutagenesis at alternate Trp
residues had diminutive effects. Of particular note was the linear
free-energy correlation between the EC50 values for receptor
interaction with acetylcholine and the cation-π binding energies,
calculated by ab initio quantum mechanics, for the side chains
of Trp149 and various fluorinated analogues thereof. The range
of EC50 values was about 2 orders of magnitude, which
but dependent on the size of the substituent on the other. It is
reasonable to conclude that the 18 kJ mol-1 change in free
energy on interaction with Trp86 is about evenly split between
cation-π and dispersion/hydrophobic interactions.
Comparison with Other Studies. The contribution of charge-
dependent interactions to the total interaction free energy for
the quaternary ammonium binding site can be estimated in the
following way. As mentioned earlier, the affinity range for meta-
7
substituted trifluoroacetophenones is 1.1 × 10 , of which a factor
5
TI
-1
-1
of 5.5 × 10 (corresponding ∆∆G ) -32.5 kJ mol ) arises
from interaction with the quaternary ammonium binding locus
of AChE. From the Ki values of Table 1 one calculates that the
corresponds to a ∆∆G of ∼ -11 kJ mol , again in substantial
agreement with estimates generated herein of the interaction
energy of the quaternary ammonium moiety with Trp86 of
AChE.
+
quaternary ammonium inhibitor TMTFA (Y ) N Me3) binds
Barak et al.23 recently reported an insightful study of the effect
of mutation of Trp86 on the rates of aging of the structurally
varied human AChE phosphonyl conjugates of Scheme 2. The
first-order aging rate constants decrease in the order Trp86 >
Phe86 > Ala86; this trend is observed for all degrees of
branching at the â-carbon. However, the range of aging rate
constants for Trp86 versus Ala86 AChE decreased systemati-
more tightly than the isosteric neutral inhibitor TBTFA (Y )
tert-butyl) by a factor of 880, which corresponds to an
-1
interaction free energy difference of -16.8 kJ mol . A portion
of this higher affinity is due to the Hammett substituent effect
on the stability of the hemiketal adduct between the inhibitor
and the γ-O of Ser203(200). This factor is estimated as
-
1
∆
∆GHammett ) -2.303RT‚F(σTMTFA - σTBTFA) ) -10 kJ mol ,
14
+
where σTMTFA and σTBTFA are the σm values for the m-Me3N
(
15) Electrostatics contribute 58% and 59% to the calculated interaction
and the m-tert-butyl substituents of TMTFA and TBTFA,
respectively. This calculation leaves a difference of -6.8 kJ
+
energies of Na with benzene and phenol, respectively. See ref 6c.
(16) Kim, K. S.; Lee, J. Y.; Lee, S. J.; Ha, T.-K.; Kim, D. H. J. Am.
Chem. Soc. 1994, 116, 7399-7400.
-
1
mol of interaction free energy that arises specifically from
the positive charge of the quaternary ammonium moiety.
The affinity of wild-type mouse AChE for the quaternary
ammonium inhibitor TMTFA is 1600-fold greater than that of
the Trp86Ala mutant, which corresponds to a change in
(
17) Lee, J. Y.; Lee, S. J.; Choi, H. S.; Cho, S. J.; Kim, K. S.; Ha, T.-K.
Chem. Phys. Lett. 1995, 232, 67-71.
18) Duffy, E. M.; Kowalczyk, P. J.; Jorgensen, W. L. J. Am. Chem.
Soc. 1993, 115, 9271-9275.
19) Meot-Ner, M.; Deakyne, C. A. J. Am. Chem. Soc. 1985, 107, 469-
74.
20) Mecozzi, S.; West, A. P.; Dougherty, D. A. Proc. Natl. Acad. Sci.
U.S.A. 1996, 93, 10566-10571.
21) Basch, H.; Stevens, W. J. J. Mol. Struct. (THEOCHEM) 1995, 338,
03-315.
22) Zhong, W.; Gallivan, J. P.; Zhang, Y.; Li, L.; Lester, H. A.;
(
(
4
-1
interaction free energy of -18.3 kJ mol . The linear free energy
(
-
1
correlation of Figure 4 suggests that -10.6 kJ mol of this
free energy can be attributed to the charge of the quaternary
ammonium inhibitor. Therefore, this estimate and that in the
preceding paragraph suggest that positive charge accounts for
(
3
(
Dougherty, D. A. Proc. Natl. Acad. Sci. U.S.A. 1998, 95, 12088-12093.
(23) Barak, D.; Ordentlich, A.; Segall, Y.; Velan, B.; Benschop, H. P.;
De Jong, L. P. A.; Shafferman, A. J. Am. Chem. Soc. 1997, 119, 3157-
-
1
∼
-7 to -11 kJ mol of the energy that is released on binding
of ligands to the quaternary ammonium binding locus of AChE.
It is instructive to compare the interaction energies estimated
in the preceding two paragraphs with similar estimates from
3
158. The aging of phosphyl conjugates of AChE is the hydrolytic cleavage
of the O-CR bond of Scheme 2, a reaction that is thought to involve a
carbocation intermediate and/or carbocationic transition state.