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À13.4 kJmolÀ1) and the effect is partly compensated by the
conserved water molecules and mediates a complex network
between ligand and protein functional groups, does not show
any significant changes across the series (Figure S2, right
upper part). In addition, no change can be detected for the
contacts to the glycerol and DMSO molecules picked up from
the cryo buffer. Thus, the only differences occur next to the
hydrophobic P2’ substituents which increase in size (Figure S2,
right, lower part). Here, the network of the adjacent water
molecules is highly perturbed.
A huge change in the thermodynamic profile is experi-
enced when a methyl group is added to the glycine derivative
1 resulting in the alanine substituent in 2. One difference is
that the Gly derivative has in solution, prior to protein
binding, access to a larger conformational space than the Ala
analogue. Consequently, TLN–2 will experience a smaller loss
in entropy than TLN–1 upon binding. However, since the
thermodynamic profile of TLN–2 shows a larger, rather than
a smaller loss in entropy, additional effects are in operation. It
might be well possible that the conformational differences are
of minor entropic importance as ligands in a solvent cage will
hardly experience full flexibility. They could be as restricted in
their degrees of freedom as they would be at a binding site
which opens to the bulk solvent. As shown in our previous
study,[30] which also involves the non-carboxylated analogues
of 1 and 2, binding includes the rupture of the contiguously
connected water network which wraps around the terminal
methyl group in 2 (Figure 1a,b). It is apparent that the methyl
group provides favorable interaction sites for the two addi-
tional water molecules which are further stabilized in their
binding positions through van der Waals contacts. On the
other hand, two water molecules (Figure 1a, circled in cyan)
smaller entropic signal of 2 relative to 1 (-TDDS1/2
=
7.7 kJmolÀ1) (Table S5). Across the series, the Gibbs free
energy improves from 1 to 5, whereby 3, and 5 show the same
values, within experimental accuracy. The remaining ligands
6, 7, and 8 decrease slightly in affinity (Figure 2).
If one considers closely related ligand pairs, some system-
atic changes are observed. For example, individual ligands in
the pairs 2/3 (DDH2/3 = À1.2 kJmolÀ1, ÀTDDS2/3
À1.0 kJmolÀ1), 4/5 (DDH4/5 = À0.6 kJmolÀ1, ÀTDDS4/5
0.6 kJmolÀ1), and 6/7 (DDH6/7 = 0.9 kJmolÀ1, ÀTDDS6/7
=
=
=
À1.6 kJmolÀ1) exhibit very similar changes in their properties
relative to each other, whereas going from 3 to 4 (DDH3/4
=
2.6 kJmolÀ1, ÀTDDS3/4 = À2.5 kJmolÀ1), and from 5 to 6
(DDH5/6 = 7.7 kJmolÀ1
involves larger changes. Finally, the Phe derivative deviates
from the pair 6/7 and shows a thermodynamic signature with
balanced enthalpic and entropic portions.
and
ÀTDDS5/6 = À5.8 kJmolÀ1)
In the series of the peptidomimetic transition-state-
analogue inhibitors reported herein, the terminal hydro-
phobic substituent gradually penetrates the S2’ pocket of
thermolysin. This shallow bowl-shaped pocket is open to the
bulk solvent. It can host substituents up to the size of a benzyl
moiety. This group fills the pocket quite substantially. It even
pushes to the limit so that the backbone carbonyl group of the
adjacent peptide bond in the protein has to move out of the
position it occupies in the other complexes for steric reasons.
This carbonyl group evades in two directions and thereby
produces two alternative geometries which are likely to be
energetically disfavored.
Even though the hydrophobic surface increases continu-
ously in the series (1–8) from hydrogen in the Gly derivative
to phenyl in the Phe derivative by about 130 ꢁ2, the overall
Gibbs free energy improves only by À3.7 kJmolÀ1. This is
a minor contribution considering the rough estimate for the
free energy of dehydration of about À2 to À3 kJmolÀ1 per
methyl group that becomes buried upon protein binding.[33]
Purely based on surface patch considerations, we would
expect a much larger value as the hydrophobic effect for this
change. Interestingly, the affinity trend shows an optimum
with an ethyl (3), isopropyl (4), or n-propyl (5) substituent,
even though, in terms of size, these groups do not yet fill the
S2’ pocket completely. This indicates even more that simple
considerations based on hydrophobic surface patches buried
upon complex formation break down in the current analysis.
For the Phe derivative 8, the crystal structure indicates
disfavored conformations for Asn111 which will also influ-
ence the decrease in the affinity of this ligand. More
remarkable is the trend in enthalpy/entropy partitioning
(Figure 2) which is largest with the most potent inhibitors.
Changes are not consistently observed across the series, but
the structurally closely related pairs 2/3, 4/5, and 6/7 exhibit
very similar thermodynamic profiles (Figure 2). This suggests
for each pair similarities in the structural solvation patterns of
the individual complexes.
=
H-bonded in TLN-1 to Asn111(C O) are repelled from the
complex as a result of steric conflicts with the additional
methyl group in 2. The rupture of the contiguously connected
H-bonding network disfavors the exothermic binding of 1,
whereas the binding of 2 is entropically less favorable owing
to a stronger fixation of the water network. Accordingly,
going from 1 to the more hydrophobic 2 is enthalpy-driven
and could be classified—in formal terms—as a “nonclassical
hydrophobic effect”.
The thermodynamic signature of the ethyl derivative 3 is
nearly identical to that of 2. As both enthalpy and entropy
become more favorable relative to 2, DDG improves by
À2.2 kJmolÀ1, a value found in the typical range for favorably
placed additional methyl groups. It is in good agreement with
the estimated free energy of desolvation of a methyl group.
Again the additional degree of conformational freedom in 3
seems to be of minor importance. With respect to the water
network, TLN–3 is nearly identical with TLN–2. The isopro-
pyl and n-propyl derivatives 4 and 5 share again very similar
thermodynamic properties, but their enthalpy/entropy values
are much different from those of the previous pair 2/3. In
TLN–4 the branched and more rigid valyl ligand side chain is
distributed over two conformations and also a disorder of the
Leu202 side chain is detected. In TLN–5, the even more
flexible P2’ n-propyl group seems to be ordered; nonetheless
some disorder cannot be fully excluded by crystallography
though it is less evident. At the far end of the pocket two
water molecules mediating the water network in TLN–2 and
In the analysis of the binding modes of 1–8, the parent
scaffold remains virtually unchanged across the entire series.
Also the hydration pattern next to the ligandꢀs Cbz group and
the terminal carboxylate group, which involves at least seven
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ꢀ 2013 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim
Angew. Chem. Int. Ed. 2013, 52, 1822 –1828