Kai Chen1, Xiaoxiao Zhang, Yun-Dong Wu, Olaf Wiest. 1. Lab of Computational Chemistry and Drug Design, Laboratory of Chemical Genomics, Peking University Shenzhen Graduate School , Shenzhen 518055, China.
Abstract
Histone deacetylases (HDACs) have found intense interest as drug targets for a variety of diseases, but there is disagreement about basic aspects of the inhibition and mechanism of HDACs. QM/MM calculations of HDAC8 including a large QM region provide a model that is consistent with the available crystal structures and structure-activity relationships of different HDAC inhibitors. The calculations support a spontaneous proton transfer from a hydroxamic acid to an active site histidine upon binding to the zinc. The role of the H142/D176 catalytic dyad as the general base of the reaction is elucidated. The reasons for the disagreements between previous proposals are discussed. The results provide detailed insights into the unique mechanism of HDACs, including the role of the two catalytic dyads and function of the potassium near the active site. They also have important implications for the design of novel inhibitors for a number of HDACs such as the class IIa HDACs.
Histone deacetylases (HDACs) have found intense interest as drug targets for a variety of diseases, but there is disagreement about basicaspects of the inhibition and mechanism of HDACs. QM/MM calculations of HDAC8 including a large QM region provide a model that is consistent with the available crystal structures and structure-activity relationships of different HDAC inhibitors. The calculations support a spontaneous proton transfer from a hydroxamic acid to an active site histidine upon binding to the zinc. The role of the H142/D176catalytic dyad as the general base of the reaction is elucidated. The reasons for the disagreements between previous proposals are discussed. The results provide detailed insights into the unique mechanism of HDACs, including the role of the two catalytic dyads and function of the potassium near the active site. They also have important implications for the design of novel inhibitors for a number of HDACs such as the class IIa HDACs.
Post-translational
protein modifications such as acetylation or
methylation play important roles during epigenetic regulation.[1−3] Among different epigenetic readers, writers, or erasers, which recognize,
add, or remove these modifications, respectively, histone deacetylases
(HDACs) have found particularly widespread interest as potential drug
targets for novel therapeutic approaches to both cancer[4−7] and noncancer[8,9] disorders. Two HDAC inhibitors,
suberoylanilide hydroxamic acid (SAHA) and FK228, have been approved
for human use by the FDA and over 20 more are currently in various
stages of clinical trials. As a result, the structure, function, and
inhibition of HDACs have been the topic of intense research during
the past decade.EukaryoticHDACs have 18 different isoforms,
divided into four
classes based on sequence similarity:[10] class I (HDAC1–3, and 8), class II (HDAC4–7, 9 and
10), class IV (HDAC11), and class III (sirtuins 1–7). Classes
I, II, and IV, commonly referred to as “classical” HDACs,
are zinc-dependent hydrolases that remove an acetyl group from the
ε-amino group of lysines. Class I HDACs are currently thought
to be the biomedically most relevant isoforms[11] and have been studied in most detail. For example, the majority
of available HDAC inhibitors act most strongly on class I HDACs,[12] and a large number of crystal structures have
been published for class I HDACs, especially HDAC8 (see Table S2).All known class I, II, and IV
HDAC inhibitors possess a pharmacophore
consisting of a zinc binding group (ZBG), a linker group mimicking
the lysine side chain, and a cap group that interacts with the protein
surface and contributes to isoform selectivity. The properties of
the ZBGcorrelate strongly with the potency of the HDAC inhibitor,[13] although interactions at the protein surface
can also be strong.[14] Among the different
known ZBGs, hydroxamic acids are the most potent and best studied.[15,16] We proposed a rationale for this observation based on the hypothesis
of a pKa matching where the hydroxamic
acid binds in the neutral form, thus circumventing the desolvation
penalty, but is deprotonated by an adjacent histidine once bound to
the zinc to increase Coulomb interactions.[17] Similar effects have been observed in the case of TACE[18] and are supported by computational studies of
small models of HDAC active sites.[19,20] We also studied
a number of other ZBG[21] to propose alternatives
to hydroxamic acids.HDAC8-substrate complex crystal structure 2V5W (Y306F mutation
is manually removed). The oxygen atom of water is shown as red sphere,
Zn2+ and K+ are represented by gray and purple
spheres, respectively. Substrate and residues considered in the QM/MM
active sites are shown as sticks, other residues are shown in green
cartoon.Figure 1 shows the active site of a typical
class I HDAC, HDAC8 (pdb code 2V5W, resolution = 2.0 Å), bound to an
acetylated lysine substrate.[22,23] The active site zinc
ion is buried at the bottom of a narrow hydrophobic pocket and coordinates
to D178, H180, and D267 as well as to the acetyl lysine substrate
and a water molecule. Other important residues include two histidine
residues H142 and H143, which are in turn coordinated to two aspartatesD176 and D183, respectively. These four residues are identical in
the four class I humanHDAC isoforms, while D183 is replaced by a
Q or N in class II and IV HDACs (see Figure S1). As was pointed out previously,[24] this
arrangement closely resembles the catalytic triad of a serine protease,
with the water taking the place of the serine. At the same time, the
presence of the catalytically active zinc or other divalent or trivalent
metals[25] makes HDACs formally a metalloprotease,
although the importance of the different overall charge state of the
active site has been pointed out.[17,19,26]
Figure 1
HDAC8-substrate complex crystal structure 2V5W (Y306F mutation
is manually removed). The oxygen atom of water is shown as red sphere,
Zn2+ and K+ are represented by gray and purple
spheres, respectively. Substrate and residues considered in the QM/MM
active sites are shown as sticks, other residues are shown in green
cartoon.
The unique combination of serine and metalloprotease
characteristics
as well as the presence of two rather than one potential proton shuttle
systems poses some interesting mechanistic questions. Two mechanisms,
shown in simplified form in Scheme 1, have
been proposed. Based on mutation experiments and the structure of
histone deacetylase-like protein (HDLP), Finin et al. proposed that
the buried H142-D176 dyad acts as the general base to abstract a proton
from water and facilitates wateroxygen’s nucleophilic attack
on the carbonyl carbon of acetyl lysine substrate.[24] The role of the H143-D183 dyad is then to protonate the
amine in the breakdown of the tetrahedral intermediate.
Scheme 1
HDAC Deacetylation Reaction Mechanism Proposed
by Finnin et al. (Mechanism
1)[24] and Zhang et al. (Mechanism 2)[27,28]
An alternative
mechanism for the amide hydrolysis was proposed
by Zhang and co-workers based on Born–Oppenheimer ab
initio QM/MM MD simulations[27,28] (25 ps umbrella
sampling for a total of 1.5 ns along the reaction pathway using a
pseudobond approach).[29] After consideration
of different combination of protonation states of H142 and H143, it
was suggested that HID142/HID143[30] is the
most stable reactant complex in HDAC8, leading to Mechanism 2 shown in Scheme 1 where the H143-D183
dyad acts as the general base in the formation of the tetrahedral
intermediate and as general acid in its breakdown. The role of the
H142-D176 dyad would be limited to the deprotonation of the tetrahedral
intermediate concerted with the heterolysis of the C–N bond
rather than a direct involvement in this step. Using the same approach,
Zhang and co-workers also found that deprotonation of the hydroxamic
acid upon binding to HDAC8 is energetically uphill by 3.8 kcal/mol,[31] which is in contrast to the findings described
earlier.[17,19]In addition to the essential
metal ion Zn2+, two potassium
ions have been observed in several of the HDAC8crystal structures
(Figure 2A). Site 1 for potassium binding is
near the active site, and the potassium ion coordinates with the side
chain oxygen of D176 and S199 and backbone oxygen atoms of D176, D178,
H180, and L200 in an octahedral fashion (Figure 2B). Site 2 is positioned about 20 Å away from the catalyticmetal ion, and K+ is coordinated by backbone oxygen of
F189, T192, V195, and Y225, and two water molecules (Figure 2C). Experiments revealed that the structural stability
of HDAC8 was increased in the presence of KCl,[32] and the catalytic activity of HDAC8 was increased at lower
concentrations of K+ but decreased at high concentrations.[33,34] As K+ at site 2 is far away from the catalyticcenter,
it is only possible to regulate the activity by an allosteric effect.
The functional role of K+ at site 1 is unclear. Studies
by Gantt et al. suggested an inhibitory role of K+ at site
1,[33] while Werbeck et al. suggested an
activation effect.[34] Zhang’s computational
work showed that occupation of site 1 by K+ could stabilize
the transition state of the rate-determining step,[28] and we will discuss this issue using the different theoretical
model used here.
Figure 2
(A) crystal structure of HDAC8 (pdb code: 2V5W) with active-site
Zn2+ and two K+ ions and K+ binding
(B) site 1 and (C) site 2. Zn2+ and K+ are shown
as gray and purple spheres, respectively.
(A) crystal structure of HDAC8 (pdb code: 2V5W) with active-site
Zn2+ and two K+ ions and K+ binding
(B) site 1 and (C) site 2. Zn2+ and K+ are shown
as gray and purple spheres, respectively.Even though the biomedical importance of HDACs has overshadowed
mechanistic questions, the mechanism and inhibition of HDAC8 did find
significant interest.[25,35−37] The ambiguities
resulting from the different mechanistic proposals and possibly from
limitations of the models used in earlier studies need to be resolved.
Maybe more importantly, the question of the preferred protonation
state and pKa’s of ZBGs for HDACs
is of crucial importance for the development of novel HDAC inhibitors
with new ZBGs. These are of significant interest not only because
of the poor pharmacokinetic properties and potential toxicity of the
currently used hydroxamic acids but also because it was shown that
appropriately chosen ZBGscan contribute to isoform selectively,[38] a key goal in the development of new, less toxicHDAC inhibitors.Here, we report the results of a QM/MM study
of the inhibition
and mechanism of HDAC8 using a more complete representation of the
enzyme active site. These studies provide a view of the protonation
state of the inhibitor and the mechanism of lysine deacetylation by
HDAC8. The effect of the potassium ion at site 1 and of protein dynamics
are also considered here. Finally, we will discuss the importance
of the findings to HDAC inhibitor design and the consequences of the
presence of the zinc ion on the similarity of the mechanism to serine
proteases.
Computational Methodology
Model Building
Starting structures for the simulations
were built based on the available X-ray structure most similar to
the relevant species. For the investigation of the protonation states
of hydroxamates, the structure of the SAHA-HDAC8complex (pdb code: 1T69,[39] 2.9 Å resolution), was used as the initial structure.
The structure of the substrate-HDAC8complex (pdb code: 2V5W,[22] 2.0 Å resolution, with F306 mutated back into Y306
manually) was used as the initial structure for the mechanism study.
Water molecules near the active site that were resolved in the 2V5W crystal structure
were kept in the calculation. No additional water molecules were added
in the 1T69 crystal
structure because previous MD simulations indicated that water is
unlikely to enter the deeply buried active site if an inhibitor is
bound.[31,37,40] Hydrogens
were added and optimized using the Protein Local Optimization Program
(PLOP).[41] The protonation states were manually
checked to ensure that the active site aspartic and glutamic acids
are negatively charged and the active site lysine and arginine are
positively charged. The initial protonation state of the active site
was set as both H142 and H143 singly protonated in the δ position,
consistent with earlier studies[42] and based
on an analysis of the hydrogen bond network.In addition to
the zinc binding site, there is a second putative metal binding site
7 Å from the active site that is occupied by potassium in most
of the available crystal structures of HDAC8 (see Table S2) and that was proposed to accelerate or inhibit the
catalytic process.[32−34] We have performed the mechanistic studies with and
without the presence of potassium ion at site 1.Before performing
the QM/MM calculations, the initial structures
including SAHA-HDAC8complex structure and substrate-HDAC8complex
structures with and without the potassium ion at site 1 were minimized
(500 steps steepest-descent minimization followed by 4500 conjugate
gradient steps) to remove the steric repulsion with the zinc and coordinated
atoms restrained using the sander module of Amber12[43] and a generalized Born solvent model. The zinc parameters
developed by Merz and co-workers were used.[44] The Amber ff12SB forced field was used for the protein and general
Amber force field (GAFF) parameters for the ligand atoms. Considering
the conformational effect of the side chains on the reaction barriers,
a 10 ns molecular dynamic simulation was performed for each system
(with or without potassium at site 1). Three snapshots at 3, 6, and
9 ns were extracted from each simulation as initial structure for
QM/MM mechanism study. Additional information on the MD simulations
as well as QM/MM optimized structures from MD snapshots is provided
in the Supporting Information.QM regions
of models 1 (left) and 2 (right) shown for the optimized
structures of SAHA-HDAC8complex. Blue lines indicate the QM/MM boundary
region.Two different models were used
for the study of the protonation
states of hydroxamatecomplex: Model 1, shown in Figure 3 on the left, includes the zinc ion, the side chains of H142,
H143, D178, H180, D267, and Y306, and atoms of SAHA near the catalytic
zinc ion in the QM region during QM/MM calculation. This is consistent
with the model of Zhang and co-workers, which lacks the aspartate
portion of the catalytic dyad (D176 and D183). It was argued that
in the case of serine proteases, inclusion of these residues does
not lead to different results,[45] but the
effects for HDACs are not known. Therefore, D176 and D183 were included
in Model 2, shown in Figure 3 on the right.
Hydrogen atoms were added to saturate the dangling bonds at the QM/MM
interface. For the mechanistic studies, the calculations were only
carried out at the model 2 level, and the detailed process is shown
in Figure 5.
Figure 3
QM regions
of models 1 (left) and 2 (right) shown for the optimized
structures of SAHA-HDAC8 complex. Blue lines indicate the QM/MM boundary
region.
Figure 5
QM/MM deacetylation mechanism of HDAC. Energies (ONIOM(M052X/(6-31G*,
SDD):AMBER), in kcal/mol) of optimized structures without or with
(in parentheses) the presence of potassium at site 1 using the initial
conformations from minimized structures of crystal structure without
or with potassium at site 1.
Computational Details
All QM/MM optimizations were
carried out using the ONIOM method with electronic embedding in Gaussian
09.[46] The TAO package[47] was used for the preparation and analysis of the ONIOM
calculations. The QM region (indicated by the blue lines in Figure 3) was treated using the M05-2X[48] functional together with the 6-31G* basis set for all main
group elements and the Stuttgart ECP basis set (SDD)[49] for Zn2+. This level of theory was found to
give the best results in earlier benchmark studies.[21,48] The results from single point calculations at a larger basis set
or other functionals are given in Supporting Information. The Amber force field was used to treat the MM region. Atoms within
a distance of 6 Å from the model 2 QM boundary were fully optimized,
while the other atoms in the system were fixed to decrease the energy
fluctuation and to reduce CPU requirements. A small step size (set
by Gaussian iop: 1/8 = 1) was used during optimization, and structures
were gradually changed to avoid abnormal conformational change in
the classically treated region. Transition states were confirmed by
the eigenvectors with negative eigenvalues. The lowest 10 frequencies
were calculated with Gaussian 09 keywords freq(Nfreq = 10), and only
one imaginary frequency was found for transition state. Partial charges
were derived using the ESP fitting scheme.
Results and Discussion
Protonation
States of Hydroxamates
The simplest, yet
biomedically most important model to study the effect of the expanded
model 2 is the investigation of the protonation state of hydroxamic
acids bound to HDAC8. The pKa of aliphatichydroxamic acids is 9.4.[50] Computational
studies of the zinccomplexation of acids in TACE suggest that their
acidity increases by ∼3.3 pKa units
upon binding to the metal.[18] Experimentally,
the position of the proton is difficult to observe directly, but computational
studies of small active site models by us[17] and others[19,26] indicated a negative hydroxamate
in the active site, while QM/MM studies[31] suggest a neutral hydroxamic acid.To investigate the model
dependence of the protonation state, we started the QM/MM optimization
of models 1 and 2 from the same initial structure where SAHA is protonated
and both H142 and H143 are singly protonated at the δ position.
As shown in Figure 3 left, optimization of
model 1 leads to a structure very similar to the one obtained by Zhang
and co-workers[31] where the hydroxamic acid
remains uncharged. However, optimization of model 2 leads to a spontaneous
proton transfer from SAHA to the nearby histidine H142 with very little
reorganization of the remaining QM region. This suggests that D176
stabilizes the doubly protonated H142 by sharing of the proton between
the two residues as is to be expected in a charge-relay system. Indeed,
calculation of the Wiberg bond index between the δ-H and δ-N
of H142 gave a value of 0.54, indicating a weak N–H bond. This
is also indicated by the elongated N–H bond length of 1.07
Å. For comparison, the Wiberg bond index and the distance between
the δ-H and δ-N of H143 were 0.65 and 1.03 Å, respectively.To further study whether these differences are a function of the
different models or rather result from the differences in the QM/MM
methodology used here and in the earlier studies,[31] we scanned the O–H distance in the hydroxamic acid
as the deprotonation coordinate to obtain relative energies of the
protonated and deprotonated states in the two models. As shown in
Figure 4, the neutral hydroxamic acid in model
1 is calculated to be 4.4 kcal/mol lower in energy than the deprotonated
form, similar to the 3.8 kcal/mol found in Zhang’s work.[31] In contrast, the deprotonated hydroxamate is
calculated to be 3.5 kcal/mol more stable for the case of model 2.
The TSA-HDAC8complex (pdb code: 1T64) was also investigated, and the results
are consistent with those of the SAHA-HDAC8complex (see Supporting Information). These results strongly
support the hypothesis that the hydroxamic acid is deprotonated after
binding with the zinc ion in the active site of HDAC8.
Figure 4
Energy change during
O–H distance scan for two active site
models.
Energy change during
O–H distance scan for two active site
models.The finding that inclusion of
the complete catalytic dyad in the
quantum region shown in Figure 4 has a profound
effect in HDAC8, but not in Born–Oppenheimer ab initio QM/MM MD simulations of a serine protease[45] points to some interesting consequences of the dual character of
HDACs as both serine- and metalloproteases. While in the serine protease,
the stabilization of the protonated histidine by the aspartate is
not sufficient to deprotonate the serine side chain, the combination
of the lower pKa of hydroxamic acid in
combination with zinc binding leads to the formation of the bidentate
hydroxamate binder. Although a method dependence of these results
(i.e., optimization vs MD on a subnanosecond time scale) cannot be
excluded, our results suggest that for a proper description of this
process, the aspartate residue needs to be included in the quantum
region of the QM/MM optimizations.The results presented also
provide a rationalization of a number
of experimental observations. Analysis of the available high-resolution
(<2.3 Å) X-ray structures of HDAC8 bound to hydroxamic acids
(pdb codes 1T64, 2V5X, and 1VKG), shown in Table 1, indicates that the distance between the zinc and
the carbonyl oxygen is longer than that between the zinc and the hydroxyl
oxygen. The same trend is observed in the three HDAC8 structures where
the zinc is replaced by a different divalent metal (pdb codes 3MZ4, 3MZ6, and 3MZ7, see Table S1 in
the Supporting Information). These observations
are in good agreement with the charge distribution derived from model
2, where the hydroxyl oxygen has a substantially more negative partial
charge after deprotonation but are more difficult to explain for a
protonated hydroxamic acid as obtained for model 1.
Table 1
Zinc–Oxygen Distances and Partial
Charges
Ocarbonyl
Ohydroxyl
Zn–O Distance
[Å]
1T64
2.22
2.00
2V5X
2.47
2.07
1VKG
1.91
1.97
Partial
Charge
model 1
–0.31
–0.36
model
2
–0.54
–0.82
The hypothesis that the acidity of hydroxamic acid
(pKa = 9.4) is increased by ∼3.3
pKa units upon binding to the active site
of HDAC8 to allow
deprotonation by a histine (pKa ∼
6)[17] also provides insights into the experimental
findings for class IIa HDACs (HDAC4, 5, 7, and 9), where Y306 is mutated
to a conserved histidine. It can be hypothesized that because the
hydrogen bond of Y306 to the carbonyl oxygen is missing, the negative
charge is not sufficiently stabilized to allow the deprotonation of
hydroxamic acids in class IIa HDACs. This is consistent with the observation
that hydroxamic acids are relatively weak inhibitors of class IIa
HDACs[12] and bind in a monodentate fashion
in the crystal structure of HDAC7.[51] It
also suggests the intriguing possibility that the inhibition of class
IIa HDACs by hydroxamic acidscould be greatly improved by a subtle
shift in acidity by appropriate substitution. This would provide new
approaches to the inhibition of class IIa HDACs, for which relatively
few potent inhibitors are available at this time.[12]
The Reaction Mechanism of HDAC8
The results discussed
above emphasize the importance of a suitable model system in the calculations
and question the mechanisticconclusions drawn from model 1. We therefore
revisited the two mechanisms shown in Scheme 1 to define the role of each of the two potential proton shuttle systems
H142/D176 and H143/D183, which will crucially depend on the protonation
states in the active site: one where H143 acts as the general base,
which is in analogy to the mechanism proposed previously by Zhang
and co-workers,[27,28] and the other derived from the
mechanism proposed by Finnin et al.,[24] where H142 serves as the general base. The results of these studies
are summarized in Figure 5.QM/MM deacetylation mechanism of HDAC. Energies (ONIOM(M052X/(6-31G*,
SDD):AMBER), in kcal/mol) of optimized structures without or with
(in parentheses) the presence of potassium at site 1 using the initial
conformations from minimized structures of crystal structure without
or with potassium at site 1.We first discuss the mechanism without the presence of the
potassium
at site 1. As the initial structure, we chose the structure where
both H142 and H143 are protonated in the δ-position. Both Zhang’s
study[28] and our own work (Figure S4) indicate that the optimized structure, 1, (Figure 6) has better structural agreement
with the available X-ray data than other possible protonation states,
e.g. with H142 or H143 doubly protonated. The agreement between the
previous[28] and the present studies also
shows that the effect of the expanded QM region is small for the reactant
state. The coordinated water forms two hydrogen bonds with H142 and
H143, respectively. One of the His-Asp dyads may function as a base
to abstract one proton from the coordinated water and then facilitate
the nucleophilic attack of wateroxygen on carbonyl carbon.
Figure 6
Optimized structures
of selected stationary points without the
presence of potassium at site 1.
In agreement with the previously described mechanism, we calculated 1TS3a for the activation of the water nucleophile by H143
as the general base, with an activation energy of 12.4 kcal/mol. However,
we also identified an alternative pathway where H142 acts as the general
base and that is, with an activation energy of 8.5 kcal/mol, significantly
more favorable. More importantly, the product 2 with
the protonated H142/D176 dyad formed in this pathway is predicted
to be more stable than the corresponding product 3a by
8.0 kcal/mol. This pathway requires the transfer of the proton from
H142 to H143 for all the latter to act as a general acid for the cleavage
of the amide bond. Although the difference to 1TS3a is
small, this step, with an activation energy of 11.1/kcal/mol, is the
lowest-energy pathway.The preference for H142 as the general
base can be understood in
terms of the environment of the two catalytic dyads. The H142/D176
is more deeply buried and positioned in a hydrophobic environment.
The results of our calculations indicate, in agreement with earlier
qualitative arguments[24] and the results
of small quantum models,[19] that neutralization
of this dyad will be thermodynamically and kinetically more favorable
compared to the more solvent exposed H143/D183 dyad.The next
steps in the reaction are a reorientation of H143 toward
the amidenitrogen, followed by an essentially barrierless proton
transfer to form the N-protonated amide 4. This undergoes
rapid cleavage of the C–N bond, leading to the product complex 5. During this process, a proton is transferred from the tetrahedral
intermediate to H143 in a concerted fashion.Optimized structures
of selected stationary points without the
presence of potassium at site 1.Figure 6 shows the geometries of selected
structures along the reaction pathway (for other structures, see Figure
S7 in the Supporting Information). In 1 (top left), the common starting material of both mechanisms,
the hydrogen bond from the water nucleophile to H142 is with 1.66
Å substantially shorter than the one to H143 with 1.85 Å,
in agreement with the energetic argument discussed above. As a result,
the proton is transferred from the active site water to H142 to yield
the tetrahedral intermediate 2 (top right), where the
negative charge is stabilized by a hydrogen bond of 1.59 Å lengths
to Y306. It is noteworthy that in the H142/D176 proton shuttle system,
the proton is not fully transferred. Instead, the N–H and O–H
bonds are with 1.17 and 1.35 Å, respectively, quite similar.
This is consistent with a partial sharing of the proton and rationalizes
the stabilization of 2. The rate-determining step for
the mechanism proposed by Zhang is the transition structure for the
proton transfer to H143, 1TS3a (bottom left), leading
directly to 3a. The structure is very similar to the
one originally reported[28] and does not
exhibit the proton sharing, presumably due to the solvation stabilization
of the charges in the H143/D183 dyad on the surface of the protein.
The rate-determining step in the second mechanism is the concerted
transfer of two protons from the H142/D176 to the tetrahedral intermediate
and from the tetrahedral intermediate to the H143/D183 dyad. At this
point, the two mechanisms converge in 3a, as shown in
Figure 5.The presence of a potassium
at site 1 (denoted here by apostrophe)
leads to some interesting differences in the reaction pathway. As
shown in Figure 5, 2′ and 5′ significantly destabilized to the point where the
energy difference between 1TS3a′ and 2TS3a′ is very small. This is noteworthy because in previous simulations,
the model with a potassium at site 1 was found to have a lower energy
of activation than the one without.[28] Interestingly,
both acceleration and inhibition of the reaction by potassium have
been reported in experimental studies.[33,34] The instability
of 5′ creates a driving force for further proton
transfers between the neutral lysine, acetic acid, and the protonated
H142, to get a to more stable state. However, these steps occur beyond
the actual enzymatic reaction and are therefore not discussed here.Analysis of the structures of 2′ and the relevant
transition structures, shown in Figure 7, provides
a structural rationale for the increase in energy. Coordination of
K+ with the Oδ of D176 reduces the hydrogen-bond
interaction between D176 and H142, which increases the energies of
species where H142 is protonated by over 10 kcal/mol. This analysis
is further supported by the direct comparison of the two sets of structures
shown in Figures 6 and 7, which are derived from the same initial structure, substrate-HDAC8complex crystal structure. Comparison of the structure of 2 (without potassium at site 1) and 2′ (with potassium
at site 1) shows that the proton sharing between D176 and H142 is
decreased, presumably due to electrostatic effect of the nearby potassium.
Similarly, in pairs of structures (1 and 1′, 2 and 2′, 1TS3a and 1TS3a′, 2TS3a and 2TS3a′), the distance between tyrosine hydroxyl hydrogen and substrate
carbonyl oxygen as well as the distance between substrate carbonyl
carbon and wateroxygen atom is increased. This is consistent with
a decreased relative stability of these structures due to the presence
of potassium at site 1.
Figure 7
Optimized structures of selected stationary
points with the presence
of potassium at site 1; apostrophe symbol indicates the presence of
potassium at site 1.
Optimized structures of selected stationary
points with the presence
of potassium at site 1; apostrophe symbol indicates the presence of
potassium at site 1.Finally, we investigated the question whether the results
are dependent
on the initial conformation. Snapshots at 3, 6, and 9 ns were extracted
from 10 ns MD simulations with and without potassium ion at site 1,
and structures of the process from 1 to 3a were optimized by QM/MM computations using the MD snapshots as initial
structures. The structures and the energies along the pathways are
shown in the Supporting Information. These
results show that the basic mechanistic findings described do not
substantially change as a function of the side chain orientations.
Specifically, the stepwise pathway via intermediate 2 is predicted to be preferred in the absence of the potassium at
site 1, while the pathways are too close to distinguish in the presence
of the potassium for all three starting structures. However, it should
be noted that larger conformational changes relative to the X-ray
structures will not be uncovered by the 10 ns MD simulations.
Conclusion
The results presented here show that the inclusion of the aspartic
acid residues of the two HDACcharge-relay systems into the QM region
of the QM/MM optimization significantly affects the results of computational
studies of inhibition and mechanism of class I HDACs. Several of the
findings are in disagreement with previous Born–Oppenheimer ab initio QM/MM MD simulations,[27,28,31] but in good agreement with QM studies of
model systems as well as the available experimental results. Specifically,
the present study strongly suggest that the charge state of the widely
used hydroxamic acidHDAC inhibitors in the active site is indeed
negative. Thisconfirms the computational results from small model
studies[17,19] and explains a number of experimental observations
discussed earlier. It is also consistent with the proposal that the
active species in the HDAC inhibition by largazole is the thiolate,[14] which would be hard to rationalize with a protonated
thiol. Although HDAC8, a class I HDAC, was studied here, the findings
have also experimentally verifiable implications for the design of
more potent class IIa HDAC inhibitors by emphasizing the importance
of the pKa of the zinc binding group.Consistent with the relative basicity of the two catalytic dyads
in HDAC8, but in contrast to the mechanism suggested by the earlier
Born–Oppenheimer ab initio QM/MM MD simulations,
the computational results support the original mechanistic proposal
by Finnin et al.[24] The atomistic details
provided by the calculations not only point to the role of the H142/D176
dyad as the general base, but also provide structural support for
the previously postulated role[51] of Y306
in stabilizing the tetrahedral intermediate. This has again important
consequences for the design of inhibitors of class IIa HDACs, where
Y306 is mutated to a histidine. Our results show that the catalytic
activity is inhibited by the presence of a potassium ion at site 1.
The calculated energies for this system are too close in energy to
unambiguously distinguish between the classic mechanism by Finnin[24] and the “unexpected” mechanism
proposed by Zhang and co-workers,[27] but
they provide a structural rational for the experimentally observed
inhibition of the reaction by potassium.[33,34]Finally, the results provide new insights into the unique
position
of HDACs as a mechanisticcross between serine and metalloproteases
containing two rather than one charge relay system. A shift of pKa of substrates and inhibitors upon binding
to the zinc modulates the protonation state of inhibitors as well
as the mechanism of the reaction to a point where both dyads play
an active role in the mechanism of the amide hydrolysis by HDACs.
As a result, neither serine proteases, where inclusion of the aspartate
into the QM region of Born–Oppenheimer ab initio QM/MM MD simulations did not change the results,[45] nor metalloproteases alone are good models for the mechanism
of class I HDACs. Rather, they are interesting examples of how different
active site motifs can be combined to generate new mechanistic variations.
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