Carla Calvó-Tusell1, Miguel A Maria-Solano1,2, Sílvia Osuna1,3, Ferran Feixas1. 1. Institut de Química Computacional i Catàlisi (IQCC) and Departament de Química, Universitat de Girona, c/Maria Aurèlia Capmany 69, 17003 Girona, Catalonia, Spain. 2. Global AI Drug Discovery Center, College of Pharmacy and Graduate School of Pharmaceutical Science, Ewha Womans University, 03760 Seoul, Republic of Korea. 3. Institució Catalana de Recerca i Estudis Avançats (ICREA), 08010 Barcelona, Catalonia, Spain.
Abstract
Deciphering the molecular mechanisms of enzymatic allosteric regulation requires the structural characterization of functional states and also their time evolution toward the formation of the allosterically activated ternary complex. The transient nature and usually slow millisecond time scale interconversion between these functional states hamper their experimental and computational characterization. Here, we combine extensive molecular dynamics simulations, enhanced sampling techniques, and dynamical networks to describe the allosteric activation of imidazole glycerol phosphate synthase (IGPS) from the substrate-free form to the active ternary complex. IGPS is a heterodimeric bienzyme complex whose HisH subunit is responsible for hydrolyzing glutamine and delivering ammonia for the cyclase activity in HisF. Despite significant advances in understanding the underlying allosteric mechanism, essential molecular details of the long-range millisecond allosteric activation of IGPS remain hidden. Without using a priori information of the active state, our simulations uncover how IGPS, with the allosteric effector bound in HisF, spontaneously captures glutamine in a catalytically inactive HisH conformation, subsequently attains a closed HisF:HisH interface, and finally forms the oxyanion hole in HisH for efficient glutamine hydrolysis. We show that the combined effector and substrate binding dramatically decreases the conformational barrier associated with oxyanion hole formation, in line with the experimentally observed 4500-fold activity increase in glutamine hydrolysis. The allosteric activation is controlled by correlated time-evolving dynamic networks connecting the effector and substrate binding sites. This computational strategy tailored to describe millisecond events can be used to rationalize the effect of mutations on the allosteric regulation and guide IGPS engineering efforts.
Deciphering the molecular mechanisms of enzymatic allosteric regulation requires the structural characterization of functional states and also their time evolution toward the formation of the allosterically activated ternary complex. The transient nature and usually slow millisecond time scale interconversion between these functional states hamper their experimental and computational characterization. Here, we combine extensive molecular dynamics simulations, enhanced sampling techniques, and dynamical networks to describe the allosteric activation of imidazole glycerol phosphate synthase (IGPS) from the substrate-free form to the active ternary complex. IGPS is a heterodimeric bienzyme complex whose HisH subunit is responsible for hydrolyzing glutamine and delivering ammonia for the cyclase activity in HisF. Despite significant advances in understanding the underlying allosteric mechanism, essential molecular details of the long-range millisecond allosteric activation of IGPS remain hidden. Without using a priori information of the active state, our simulations uncover how IGPS, with the allosteric effector bound in HisF, spontaneously captures glutamine in a catalytically inactive HisH conformation, subsequently attains a closed HisF:HisH interface, and finally forms the oxyanion hole in HisH for efficient glutamine hydrolysis. We show that the combined effector and substrate binding dramatically decreases the conformational barrier associated with oxyanion hole formation, in line with the experimentally observed 4500-fold activity increase in glutamine hydrolysis. The allosteric activation is controlled by correlated time-evolving dynamic networks connecting the effector and substrate binding sites. This computational strategy tailored to describe millisecond events can be used to rationalize the effect of mutations on the allosteric regulation and guide IGPS engineering efforts.
Proteins reshape their
function in response to environmental changes
through allosteric regulation.[1] Allostery
is the process in which two distinct sites within a protein or protein
complex are functionally coupled.[2] In allosterically
regulated enzymes, effector binding at a distal site alters the thermodynamic
and/or kinetic parameters of the catalytic reaction at the active
site.[3] The transfer of chemical information
between the two energetically coupled sites is mediated by structural[4] and/or dynamical[5] changes
that generally make accessible the preorganized active site conformation
characteristic of the enzyme active state.[6,7] To
attain such a catalytically competent state, effector binding finely
tunes the enzyme dynamic conformational ensemble by reshaping the
relative populations of the conformational states and/or the time
scales of structural fluctuations and conformational transitions.[8] Complete bidirectional communication between
distal sites occurs at the ternary complex, i.e., when both the effector
and substrate are bound at their respective sites, and propagates
through dynamic networks of inter- and intramolecular interactions.[9,10] Capturing the time evolution of the allosteric activation of enzymes
toward the formation of the ternary complex involves deciphering the
interplay of fast and slow conformational dynamics coupled to effector
and substrate binding.[11] The transient
nature of both the ternary complex and the allosteric transition in
enzymes undergoing turnover hampers the structural and dynamic characterization
of allosteric mechanisms and the identification of functionally relevant
states.[12−17] It is therefore not surprising that the allosterically active state
remains hidden for several enzymes.Allosteric regulation operating
in the model enzyme imidazole glycerol
phosphate synthase (IGPS) from Thermotoga maritima has been investigated from structural and dynamical perspectives.[18−30] IGPS is a heterodimeric enzyme belonging to class I glutamine amidotransferases
(GATase) that encompasses the catalytic interplay between HisH and
HisF subunits (Figure ). HisH catalyzes glutamine hydrolysis producing glutamate and ammonia.
The HisF cyclase monomer couples the ammonia produced by HisH, which
migrates through an internal tunnel, with N′-[(5′-phosphoribulosyl)formimino]-5-aminoimidazole-4-carboxamide
ribonucleotide (PRFAR). The latter also acts as the allosteric effector
for the reaction occurring in HisH. The binding of PRFAR, ca. 30 Å
far away from the HisH active site, enhances 4500-fold the basal glutaminase
activity of IGPS, while the substrate affinity is only moderately
altered.[30]
Figure 1
Overview of the IGPS structure and global
mechanism. (a) IGPS enzyme
is a heterodimeric complex formed by two subunits (PDB: 1GPW): HisH (white) and
HisF (cyan). (b) HisH active site (PDB: 3ZR4) with substrate glutamine (l-Gln, gray) bound in the inactive h49-PGVG oxyanion
strand (purple). The catalytic and Ω-loop residues are highlighted
in orange and green, respectively. The NH backbone of hV51 is shown in spheres. (c) Hypothesis of hV51
oxyanion hole formation and kinetic parameters for glutamine hydrolysis
in PRFAR-free and PRFAR-bound IGPS, extracted from ref (30). (d) Summary of the computational
strategy used to characterize the molecular basis of the millisecond
allosteric activation of wtIGPS. Initial conventional
molecular dynamics (cMD) and accelerated molecular dynamics (aMD)
simulations were performed starting from the X-ray structure of IGPS
in the inactive state (PDB:1GPW (chains A/B)). This was followed by
aMD simulations to study the spontaneous l-Gln binding to
the HisH active site, and to capture wtIGPS in the
active state. Well-tempered metadynamics simulations were performed
to estimate the underlaying free-energy surface of the activation
process, and dynamic network tools (SPM) were applied to identify
the most relevant residues involved in the allosteric communication
between subunits.
Overview of the IGPS structure and global
mechanism. (a) IGPS enzyme
is a heterodimeric complex formed by two subunits (PDB: 1GPW): HisH (white) and
HisF (cyan). (b) HisH active site (PDB: 3ZR4) with substrate glutamine (l-Gln, gray) bound in the inactive h49-PGVG oxyanion
strand (purple). The catalytic and Ω-loop residues are highlighted
in orange and green, respectively. The NH backbone of hV51 is shown in spheres. (c) Hypothesis of hV51
oxyanion hole formation and kinetic parameters for glutamine hydrolysis
in PRFAR-free and PRFAR-bound IGPS, extracted from ref (30). (d) Summary of the computational
strategy used to characterize the molecular basis of the millisecond
allosteric activation of wtIGPS. Initial conventional
molecular dynamics (cMD) and accelerated molecular dynamics (aMD)
simulations were performed starting from the X-ray structure of IGPS
in the inactive state (PDB:1GPW (chains A/B)). This was followed by
aMD simulations to study the spontaneous l-Gln binding to
the HisH active site, and to capture wtIGPS in the
active state. Well-tempered metadynamics simulations were performed
to estimate the underlaying free-energy surface of the activation
process, and dynamic network tools (SPM) were applied to identify
the most relevant residues involved in the allosteric communication
between subunits.From the structural perspective,
it was initially hypothesized
that PRFAR binding (HisF) allosterically activates IGPS through the
formation of an oxyanion hole composed of the amide HN backbone
of hV51 that preorganizes the HisH active site for
glutamine hydrolysis (h and f labels
are used to highlight HisH or HisF residues, respectively).[23,27]hV51 is located in the oxyanion strand, which consists
of four residues (h49-PGVG) situated in the proximity
of the catalytic triad formed by hC84, hH178, and hE180 (Figure b). Based on mechanistic observations of
other GATases, the oxyanion hole is required to stabilize the transient
negative charge of the tetrahedral intermediate formed during the
glutaminase reaction (Figure c).[31] However, for wild-type IGPS
(wtIGPS, without any mutation) none of the available
X-ray structures present the HN (hV51)
pointing toward the HisH active site, suggesting that the preorganized
HisH active site is not prevalent in wtIGPS conformational
ensemble. An alternative hypothesis is that the tetrahedral intermediate
can be stabilized by the HN of adjacent hG52 and that the closure of the HisF:HisH interface upon PRFAR binding
is key for the allosterically triggered enhanced catalytic activity.[28] However, the rapid glutamine turnover of the
allosterically activated enzyme prevented the structural characterization
of wtIGPS either with the hV51 oxyanion
hole formed or with the HisF:HisH interface productively closed; thus,
key functional conformations of wtIGPS remain hidden.From the dynamic perspective, PRFAR binding enhances IGPS conformational
flexibility through the activation of millisecond motions that stimulate
allosteric communication between the two subunits.[26] NMR experiments suggest different patterns of millisecond
motions when comparing PRFAR-free, PRFAR-bound, and ternary complexes
(HisH substrate, PRFAR, and IGPS). Upon the formation of the ternary
complex, an allosteric network of residues displaying correlated millisecond
motions connecting HisF and HisH binding sites arises. Recent NMR
experiments of the hC84S mutant, displaying drastically
reduced glutaminase activity, suggested that inactive and active states
are in dynamic equilibrium.[32] However,
the active state was not detected in wtIGPS under
turnover conditions, being below the detection limit of NMR experiments,
thus concluding that the hC84S mutant stabilizes
the active conformation. Nanosecond molecular dynamics (MD) simulations
indicated that the effect of PRFAR binding propagates from floop1 through a network of salt bridges connecting HisF
and HisH subunits.[27] As pointed out by
Rivalta et al., this results in altered dynamics of the HisF:HisH
interface and the weakening of a hydrogen bond between hP10 (Ω-loop) and the HN of the oxyanion strand hV51 (Figure b).[27] Different studies using dynamical
network models revealed the enhancement of HisF:HisH interdomain communication
in the presence of PRFAR.[27,33−41] Given the difficulties in computationally studying slow millisecond
time scale events, the predicted rotation of the oxyanion strand and
the evolution of dynamical networks leading to the allosteric active
ternary complex were not captured in previous studies. Despite significant
advances in the understanding of the underlying allosteric mechanism
operating in IGPS, the sequence of molecular events of how substrate
binding couples with allosteric activation and HisF:HisH interdomain
motions toward the formation of the active ternary complex of IGPS
remains unknown. Elucidating the time evolution of the millisecond
allosteric activation of IGPS at atomic resolution is crucial as it
harbors essential information for the enzyme function and engineering.In this study, we characterize the molecular details of the allosteric
activation of wtIGPS and identify hidden states relevant
for IGPS catalytic activity with a computational strategy tailored
to explore millisecond time scale events (Figure S1). Our approach focused on long time scale molecular dynamics
simulations, enhanced sampling techniques, and dynamical network captures
without using a priori information of the active
state, the time evolution of the allosterically driven conformational
ensemble toward the presumed active state of PRFAR-bound IGPS. This
study thus uncovers the HisH active site preorganized with the hV51 oxyanion hole properly oriented to stabilize the substrate
glutamine (l-Gln) in both PRFAR-IGPS (without l-Gln)
and ternary complex (l-Gln, PRFAR, and IGPS). Spontaneous l-Gln binding simulations and dynamical network analyses reveal
delicate coupling between substrate binding and IGPS conformational
dynamics that finely tunes correlated motions through the allosteric
activation of the IGPS ternary complex. We find that the productive
closure of the HisF:HisH interface is a prerequisite to effectively
populate the preorganized HisH active site upon the formation of the
ternary complex.[19,28] During the elaboration of the
present manuscript, Wurm and co-workers successfully captured through
X-ray crystallography the allosterically activated conformation of
a catalytically inactive hC84A IGPS mutant bound
to PRFAR precursor and l-Gln substrate.[32] This hC84A IGPS structure presents a closed
HisF:HisH interface and the hV51 oxyanion hole formed,
as predicted by our simulations, thus providing experimental evidence
to the allosteric activation observed here through an in silico approach. This computational strategy can be used to decipher the
allosteric mechanisms of related enzymes and the impact of mutations
on allosteric regulation, which is of interest for enzyme design and
drug discovery.[42,43]
Results
Effect of PRFAR
Binding in IGPS: Structural Characterization
of Transient hV51 Oxyanion Hole Formation in HisH
PRFAR binding in HisF is postulated to influence the HisH h49-PGVG oxyanion strand conformational dynamics, making
accessible the preorganized active site with the hV51 oxyanion hole formed. To elucidate the impact of PRFAR, we performed
microsecond conventional molecular dynamics (cMD) simulations of IGPS
in both apo (neither l-Gln substrate nor
PRFAR effector is bound) and PRFAR-bound (l-Gln not bound),
starting all simulations from an inactive IGPS conformation (see the Methods section). Since we focus on the effect of
PRFAR in the HisH active site, we refer to l-Gln as the substrate
and PRFAR as the effector throughout the text. MD simulations reveal
that PRFAR induces significant changes in the orientation and conformational
dynamism of the HisH oxyanion strand motif, even in the absence of l-Gln substrate.The conformational landscape that illustrates
the different orientations of the oxyanion strand is reconstructed
from ten replicas of 1.5 μs cMD simulations for both apo and PRFAR-IGPS. The coordinates selected to capture
relevant h49-PGVG conformations are the ϕ dihedral
angles of hV51 and hG50 (Figures a, S2, and S3). Far from the uniformity observed in available
X-ray structures, our simulations show that the oxyanion strand presents
the ability to sample three major orientations when PRFAR is bound
and two in the apo state. The most populated conformations
in both PRFAR-IGPS and apo are the inactive-OxH (given
that the oxyanion strand is not properly oriented for catalysis),
and another conformation with the oxyanion strand unblocked not previously
observed in any X-ray (Figure b). In the inactive-OxH state, the amide HN backbone
of hV51 is oriented toward the carbonyl backbone
of hP10 at the Ω-loop, establishing a stable hP10–hV51 hydrogen bond that blocks
the rotation of the hV51 backbone. The unblocked-OxH
state is characterized by a partial rotation of ϕ-hG50, while ϕ-hV51 gains some flexibility.
This enhanced dynamism of the oxyanion strand is triggered by the
complete breaking of the hP10–hV51 hydrogen bond that induces the separation of the oxyanion strand
from the Ω-loop (Figure S4). The
analysis of individual cMD trajectories shows that the inactive-OxH
and unblocked-OxH states can interconvert in the microsecond time
scale (Figure S2).
Figure 2
Conformational landscape
of h49-PGVG oxyanion
strand obtained from conventional molecular dynamics (cMD) simulations
of substrate-free IGPS. (a) Conformational landscape of substrate-free apo (in the absence of both PRFAR and l-Gln) and
PRFAR-IGPS (in the absence of l-Gln) constructed using the
ϕ dihedral angles of hV51 and hG50. The cyan star symbol indicates the hV51 and hG50 of the X-ray IGPS structure (1GPW chain A/B) used
as starting points in cMD simulations. (b) Representative HisH active
site structures of most populated states in the PRFAR-IGPS conformational
landscape (a). The NH backbone of hV51 is highlighted
inside a cyan dashed box. Average distances (in Å) are depicted
in green and purple for apo and PRFAR-bound states,
respectively. (c) Transient hV51 oxyanion hole formation
observed in a cMD trajectory of 4 μs.
Conformational landscape
of h49-PGVG oxyanion
strand obtained from conventional molecular dynamics (cMD) simulations
of substrate-free IGPS. (a) Conformational landscape of substrate-free apo (in the absence of both PRFAR and l-Gln) and
PRFAR-IGPS (in the absence of l-Gln) constructed using the
ϕ dihedral angles of hV51 and hG50. The cyan star symbol indicates the hV51 and hG50 of the X-ray IGPS structure (1GPW chain A/B) used
as starting points in cMD simulations. (b) Representative HisH active
site structures of most populated states in the PRFAR-IGPS conformational
landscape (a). The NH backbone of hV51 is highlighted
inside a cyan dashed box. Average distances (in Å) are depicted
in green and purple for apo and PRFAR-bound states,
respectively. (c) Transient hV51 oxyanion hole formation
observed in a cMD trajectory of 4 μs.Interestingly, in the presence of PRFAR, we observe the exploration
of an extra state, named active-OxH, characterized by the complete
rotation of ϕ-hV51 with respect to the inactive
IGPS X-ray structure (Figure a,b), as observed in other GATases.[44] Thus, even in the absence of l-Gln substrate, the hV51 oxyanion hole formed conformation is accessible in
PRFAR-IGPS. This hidden active-OxH state of the oxyanion strand shows
remarkable similarities with X-ray structures of the l-Gln-bound hC84A IGPS variant and other GATases presenting the equivalent
oxyanion hole formed (Figure S5).[31,32] In particular, the HN backbone of hV51
is pointing toward the catalytic hC84 and the hP10–hV51 hydrogen bond observed
in the previous inactive-OxH conformation is clearly broken (see Figure b). Moreover, the
catalytic triad is significantly more stable than in inactive-OxH
and unblocked-OxH conformations (Figures b and S4). In
both active-OxH and unblocked-OxH states, the bulky side chain of hL85 occupies the space left in the HisH active site by
the hV51 side chain, blocking the access to the catalytic hC84 (Figures b and S6). The population of the active-OxH
involves subtle HisF and HisF:HisH interface changes (see SI Extended Text and Figures S2–S10 for
a complete description of HisF and HisH conformational dynamics).The hV51 oxyanion hole formation occurs only in
1/10 replicas of 1.5 μs MD simulations, indicating that it is
a rare event in the microsecond time scale. The cMD trajectory where
the oxyanion strand completely rotates was extended up to 4 μs
(Figures c and S7 and Movie S1).
In this trajectory, transient hV51 oxyanion hole
formation occurs after 1 μs of simulation time, remaining formed
for around 1 μs and subsequently evolving to the unblocked-OxH
conformation. Based on μs-cMD, the active-OxH conformation represents
a high-energy state in the conformational ensemble of PRFAR-IGPS.
These results demonstrate that the postulated preorganized HisH active
site pre-exists in solution for wtIGPS in the presence
of PRFAR, in the absence of l-Gln substrate, and potentially
also in the absence of both PRFAR and l-Gln. Still, millisecond
time scale events dominating IGPS allosteric communication are not
completely captured by μs-cMD simulations.
IGPS Captured
with a Closed HisF:HisH Interface
To
unravel the effects of PRFAR beyond microsecond time scales, we performed
substrate-free (without l-Gln) accelerated molecular dynamics
(aMD) simulations for apo and PRFAR-bound states
(ten replicas of 1 μs performed, see the Methods section).[45,46] In general, microsecond aMD simulations provide sufficient unconstrained
enhanced conformational sampling to make accessible millisecond time
scale events typical of allosterically regulated systems.[47] Indeed, our aMD simulations show multiple infrequent
and short-lived formations of the hV51 oxyanion hole
in the presence of PRFAR, i.e., the active-OxH state is explored,
and scarcer transitions in the apo state (Figures S11 and S12). Therefore, within the substrate-free
IGPS conformational ensemble, the active-OxH state is substantially
higher in energy than the inactive-OxH conformation.Additionally,
aMD simulations show significant global conformational changes in
IGPS. The presence of PRFAR releases tension in the interdomain region
facilitating both the rotation and closure of the HisF:HisH interface
(Figures and S13). In fact, these simulations unveil a displacement
of the conformational ensemble toward closed states of IGPS (in most
inactive IGPS X-ray structures, the HisF:HisH interface angle (θ)
is ca. 25°). Interestingly, a closed metastable state is captured
displaying an average interface angle of around 11° (in substrate-bound hC84A IGPS, HisF:HisH(θ) is ca. 10°). This productive
closure is stabilized by the formation of a hydrogen bond between
the backbones of hH53 and fT119
that restrains the HisF:HisH opening–closing motion. This results
in the Ω-loop collapsing over fα3 as hα1 and fα3 become perfectly
aligned, enhancing HisF:HisH communication, which is suggested to
be key for productive catalysis.[48,49] Importantly,
aMD simulations indicate that, when the l-Gln substrate is
not present, the productive closure of the HisF:HisH interface is
not correlated with the formation of the catalytically relevant hV51 oxyanion hole (Figure S14). Similar closed states were also sampled in the apo state simulations, although less frequently, showing that IGPS interface
closure is not an exclusive allosteric effect elicited by PRFAR (Figure S13).
Figure 3
l-Gln-free PRFAR-IGPS accelerated
molecular dynamics (aMD)
simulations: Identification of the IGPS productive closure. (a) Structural
comparison of open (in gray, PDB 1GPW chains A/B) and closed HisF:HisH interfaces
obtained from aMD simulations (in purple). The hydrogen bond between
the backbones of hH53 and fT119
that stabilizes the closed HisF:HisH interface and the conformation
of the HisH active site is depicted. (b) Probability density distribution
for the HisF:HisH interface angle obtained in cMD and aMD simulations
of PRFAR-IGPS. The angle (θ) of the HisF:HisH interface is calculated
from the α-carbons of fF120, hW123, and hG52. The vertical dashed orange and gray
lines correspond to the hC84A IGPS (PDB: 7AC8 (chains E/F)) and wtIGPS (PDB: 1GPW (chains A/B)) X-ray HisF:HisH interface angles, respectively.
l-Gln-free PRFAR-IGPS accelerated
molecular dynamics (aMD)
simulations: Identification of the IGPS productive closure. (a) Structural
comparison of open (in gray, PDB 1GPW chains A/B) and closed HisF:HisH interfaces
obtained from aMD simulations (in purple). The hydrogen bond between
the backbones of hH53 and fT119
that stabilizes the closed HisF:HisH interface and the conformation
of the HisH active site is depicted. (b) Probability density distribution
for the HisF:HisH interface angle obtained in cMD and aMD simulations
of PRFAR-IGPS. The angle (θ) of the HisF:HisH interface is calculated
from the α-carbons of fF120, hW123, and hG52. The vertical dashed orange and gray
lines correspond to the hC84A IGPS (PDB: 7AC8 (chains E/F)) and wtIGPS (PDB: 1GPW (chains A/B)) X-ray HisF:HisH interface angles, respectively.
Molecular Basis of Substrate Binding in IGPS: l-Glutamine
Binding Occurs in the Inactive-OxH State in Both PRFAR-Free and PRFAR-Bound
IGPS
The next open question is how the intrinsic microsecond–millisecond
conformational dynamics of IGPS described in previous sections is
coupled to l-Gln binding toward the formation of the allosterically
activated ternary complex. The comparable KMl-Gln mM values for both PRFAR-free and PRFAR-bound
IGPS suggests infrequent binding events at low concentrations.[26] To reconstruct the spontaneous substrate-binding
pathways coupled with IGPS conformational dynamics, we devised a strategy
that consists in positioning a single l-Gln molecule ca.
25 Å away from the HisH active site and subsequently running
multiple replicas of aMD simulations starting from active-OxH, inactive-OxH,
and unblocked-OxH conformations (Figures a, S15, and S16). We find that unconstrained aMD simulations with an accumulated
time of 36 μs (60 aMD replicas of 600 ns performed; see the Methods section) provide enough conformational sampling
to capture the spontaneous binding of l-Gln from the solvent
to the HisH active site in both PRFAR-free and PRFAR-bound IGPS.
Figure 4
Molecular
basis of l-Gln binding in IGPS. (a) General
scheme of the spontaneous l-Gln substrate-binding process
in the PRFAR-free and PRFAR-bound IGPS states. The numbers indicate
the most relevant steps of the binding process. (b) Conformational
landscape obtained from the nucleophilic attack distance (dnuc) between the thiol group of catalytic hC84 (in yellow) and the amide carbon of l-Gln
(in black) and the ϕ dihedral angle of hV51.
The purple horizontal dashed line indicates the oxyanion strand flip,
and the gray, green, and orange vertical dashed lines indicate the
distance where recognition, binding, and catalysis take place, respectively.
We consider that l-Gln is captured by HisH active site when dnuc is below 6 Å, while catalytically productive
distances will be only sampled when both the dnuc is shorter than 3.5 Å and the active-OxH state (ϕ-hV51 ca. 60°) is attained. (c) Molecular representation
of selected key conformational states of the l-Gln binding
pathway. The substrate is shown in gray, the oxyanion strand residues
in purple, the catalytic residues in orange, the Ω-loop in green,
and the other HisH and HisF residues in white and cyan, respectively.
Molecular
basis of l-Gln binding in IGPS. (a) General
scheme of the spontaneous l-Gln substrate-binding process
in the PRFAR-free and PRFAR-bound IGPS states. The numbers indicate
the most relevant steps of the binding process. (b) Conformational
landscape obtained from the nucleophilic attack distance (dnuc) between the thiol group of catalytic hC84 (in yellow) and the amide carbon of l-Gln
(in black) and the ϕ dihedral angle of hV51.
The purple horizontal dashed line indicates the oxyanion strand flip,
and the gray, green, and orange vertical dashed lines indicate the
distance where recognition, binding, and catalysis take place, respectively.
We consider that l-Gln is captured by HisH active site when dnuc is below 6 Å, while catalytically productive
distances will be only sampled when both the dnuc is shorter than 3.5 Å and the active-OxH state (ϕ-hV51 ca. 60°) is attained. (c) Molecular representation
of selected key conformational states of the l-Gln binding
pathway. The substrate is shown in gray, the oxyanion strand residues
in purple, the catalytic residues in orange, the Ω-loop in green,
and the other HisH and HisF residues in white and cyan, respectively.To evaluate the binding process coupled with the
oxyanion strand
conformational dynamics, we collectively represented all aMD simulations
using two coordinates: the nucleophilic attack distance (dnuc) between the thiol group of catalytic hC84 and the amide carbon of l-Gln and the ϕ dihedral
angle of hV51 (Figure b). The binding conformational landscape shows that
the bottleneck of the binding process is the recognition of the substrate
at the HisF:HisH entrance channel, which corresponds to a long dnuc (above 12 Å). The difficulties in capturing
the substrate may be associated with the polarity of l-Gln
and intrinsic HisF:HisH interface fluctuations. Interestingly, l-Gln binding (dnuc below 6 Å)
is controlled by the oxyanion strand conformation and only occurs
when the oxyanion strand attains the inactive-OxH conformation (ϕ-hV51 within [−180°, −100°]). The
ability of l-Gln to bind only the inactive-OxH conformation
in the presence of PRFAR is in line with recent solution NMR experiments
of the hC84S IGPS variant.[32]From the independent aMD trajectories, we can reconstruct
the sequence
of events of l-Gln binding at the molecular level and also
identify the associated key conformational states of IGPS (Movies S2 and S3).
The detailed analysis of the l-Gln binding pathway along
a representative PRFAR-IGPS aMD simulations (starting from an IGPS
conformation with the active-OxH oxyanion strand and open HisF:HisH
interface) is shown in Figures c and S17–S19. First, the
HisF:HisH interface expands up to 30°, subsequently capturing l-Gln. The carboxylate group of l-Gln is then rapidly
recognized by the side chain of HisF residue fQ123
(step 1). At this point, the active-OxH conformation of the oxyanion
strand prevents the access of l-Gln close to the catalytic hC84 as the side chain of hL85 blocks its
entrance. This blockage by hL85 leads to rather long
nucleophilic attack hC84-Gln distances of near 10
Å. Subsequently, the oxyanion strand readily transitions from
the catalytically relevant active-OxH to the unblocked-OxH and inactive-OxH
orientations. The population of inactive-OxH displaces the hL85 side chain from the active site, allowing the reorientation
of the substrate in the HisH active site entrance: the carbonyl of l-Gln is stabilized by hT142 and hY143 backbones (step 2 in Figure c, see Figures S18 and S19 for a detailed analysis). This reorientation is rapidly followed
by the extension of the side chain of l-Gln closer to the hC84 catalytic residue (steps 3 and 4).When l-Gln eventually binds the HisH active site in the
inactive-OxH state (step 4), the carbonyl of l-Gln is stabilized
by the HN backbone of hG52 (2.47 ±
1.07 Å) and the nucleophilic attack distance is still rather
long (4.72 ± 0.67 Å). At the same time, the side chains
of hL85 and fQ123 stabilize the
side chain of l-Gln. At this point, catalysis cannot readily
occur as the oxyanion strand is not in the catalytically active-OxH
conformation for exploring the short dnuc required for efficient glutamine hydrolysis (see next section below).
Interestingly, the substrate-bound pose predicted from the spontaneous
binding aMD simulations perfectly overlays with the X-ray structure
of l-Gln-bound PRFAR-free IGPS (Figure S22). A similar l-Gln binding pose is obtained in
PRFAR-free simulations (Figures S20–S22). In all cases, unbinding events are not observed when the hydrogen
bond between l-Gln and hG52 is established.
Upon l-Gln binding in the inactive-OxH state, the reorientation
of the oxyanion strand to form the active-OxH state is not observed
within the 600 ns aMD simulation, thus indicating that the complete
allosteric activation has still not taken place, in line with the
millisecond time scale associated with this transition. Still, these
aMD simulations indicate that PRFAR is not significantly altering
the rates of the initial steps toward the formation of the active
ternary complex, as we observe l-Gln binding both in the
presence and absence of PRFAR with similar probabilities. At this
point, one question remained unanswered: How does the coupled effect
of l-Gln and PRFAR binding trigger the sequence of events
that allosterically activate IGPS for glutamine hydrolysis?
Time Evolution
toward the Active Ternary Complex: IGPS Caught
in the Allosterically Active State
Next, we explored how
the formation of the IGPS ternary complex (both l-Gln and
PRFAR-bound) alters the oxyanion strand conformational dynamics and
the IGPS conformational ensemble with respect to the substrate-free
form. NMR studies indicate that correlated millisecond motions associated
with the allosteric activation arise in the ternary complex.[26] To capture the complete millisecond allosteric
activation of wtIGPS at the molecular level, we extended
the aMD simulations from the previously obtained substrate-bound pose
(l-Gln bound in the inactive-OxH conformation), for both
PRFAR-free and PRFAR-bound. The formation of the hV51 oxyanion hole in the ternary complex was evaluated by monitoring
the orientation of the h49-PGVG oxyanion strand from
five replicas of aMD simulations that accumulated a total of 30 μs
(Figures , S23, and S24). Our aMD simulations of the PRFAR-IGPS
ternary complex reveal that the formation of the hV51 oxyanion hole is accessible, frequent, and long-lived in the
presence of l-Gln in the HisH active site and PRFAR in the
HisF active site (Movie S4).
Figure 5
Allosteric
activation of IGPS in the ternary complex. (a) Plot
of the HisF:HisH interface angle along the 10 μs aMD simulations.
Plot of the hV51 dihedral angle along the 10 μs
aMD simulations. Plot of the distance corresponding to the nucleophilic
attack along the 10 μs aMD simulations. The purple dashed line
indicates when productive closure takes place, purple regions indicate
when active-OxH state is populated, and white regions indicate when
inactive-OxH state is populated. (b) Representative structures of
the inactive-OxH and active-OxH states sampled in the aMD simulations
of the IGPS ternary complex. The role of hL85 is
shown for active-OxH. (c) Free-energy landscape (FEL) of the h49-PGVG in the PRFAR-free (only l-Gln bound),
ternary complex (PRFAR and l-Gln bound), and l-Gln-free
(only PRFAR-bound) obtained from well-tempered metadynamics simulations.
The star symbol represents the energy barrier between inactive-OxH
and active-OxH states of the FEL. (d) 2D free-energy landscape of
the inactive-OxH/Unblocked-OxH to active-OxH section of ϕ-hV51 for l-Gln-free PRFAR-IGPS (+ PRFAR – l-Gln, in orange), l-Gln bound PRFAR-free (−PRFAR
+ l-Gln, in green), and ternary complex (IGPS + PRFAR + l-Gln, in purple.). The 2D free-energy profile along ϕ-hV51 is calculated from the Boltzmann populations of all
ϕ-hG50 at a certain value of ϕ-hV51 (as indicated with the light purple line depicted in
(c)). Since the inactive-OxH and unblocked-OxH states are found in
the same range of values of ϕ-hV51, the 2D
plot cannot differentiate them. The presence of PRFAR and l-Gln decreases the interconversion barrier and broadens the energy
minima. Representative scheme of the oxyanion strand interconversion
barrier in the PRFAR-free (green) and ternary complex (purple) systems.
Allosteric
activation of IGPS in the ternary complex. (a) Plot
of the HisF:HisH interface angle along the 10 μs aMD simulations.
Plot of the hV51 dihedral angle along the 10 μs
aMD simulations. Plot of the distance corresponding to the nucleophilic
attack along the 10 μs aMD simulations. The purple dashed line
indicates when productive closure takes place, purple regions indicate
when active-OxH state is populated, and white regions indicate when
inactive-OxH state is populated. (b) Representative structures of
the inactive-OxH and active-OxH states sampled in the aMD simulations
of the IGPS ternary complex. The role of hL85 is
shown for active-OxH. (c) Free-energy landscape (FEL) of the h49-PGVG in the PRFAR-free (only l-Gln bound),
ternary complex (PRFAR and l-Gln bound), and l-Gln-free
(only PRFAR-bound) obtained from well-tempered metadynamics simulations.
The star symbol represents the energy barrier between inactive-OxH
and active-OxH states of the FEL. (d) 2D free-energy landscape of
the inactive-OxH/Unblocked-OxH to active-OxH section of ϕ-hV51 for l-Gln-free PRFAR-IGPS (+ PRFAR – l-Gln, in orange), l-Gln bound PRFAR-free (−PRFAR
+ l-Gln, in green), and ternary complex (IGPS + PRFAR + l-Gln, in purple.). The 2D free-energy profile along ϕ-hV51 is calculated from the Boltzmann populations of all
ϕ-hG50 at a certain value of ϕ-hV51 (as indicated with the light purple line depicted in
(c)). Since the inactive-OxH and unblocked-OxH states are found in
the same range of values of ϕ-hV51, the 2D
plot cannot differentiate them. The presence of PRFAR and l-Gln decreases the interconversion barrier and broadens the energy
minima. Representative scheme of the oxyanion strand interconversion
barrier in the PRFAR-free (green) and ternary complex (purple) systems.Analyzing the independent aMD trajectories, we
can determine the
sequence of events that occur upon l-Gln binding to identify
the molecular basis of the allosteric activation mechanism in the
ternary complex (Figures a and S25–S27). In all cases,
the hV51 oxyanion hole formation is preceded by significant
changes in the HisF:HisH interface. After the substrate is captured
in the inactive-OxH, the HisF:HisH(θ) angle decreases from 20
to 15°. This partial closure is, however, not directly affecting
the nucleophilic attack distance that remains around 4.5 Å. After
1 μs of aMD simulation time, the productive closure of the HisF:HisH
interface takes place (HisF:HisH(θ) below 13°). The coupled
motion of both subunits brings the nucleophilic attack distance down
to 4 Å, while the hV51 oxyanion hole remains
unformed. Subsequently, fQ123 is positioned near
the substrate, enhancing the communication between the HisF:HisH subunits
through the l-Gln substrate. The closure of the interface
enhances the flexibility of ϕ-hV51 triggering
the rotation of the oxyanion strand. When the hV51
oxyanion hole is formed, the nucleophilic attack distance decreases
below 3.5 Å (Figure a). The closed HisF:HisH interface is significantly stable
pointing out a slow closed-to-open transition in the presence of l-Gln (Figure S28). This indicates
that the l-Gln substrate helps stabilize the closed conformation
of IGPS, which might be important to retain l-Gln in the
active site during catalysis and favor ammonia transfer through the
HisF tunnel.The structure of the HisH active site preorganized
with the hV51 oxyanion hole formed with l-Gln bound obtained
from aMD simulations displays a similar oxyanion strand conformation
as the one identified previously in the substrate-free form (Figure b). In the active-OxH
ternary complex, the substrate links catalytic and oxyanion strand
residues through an extensive network of non-covalent interactions.
Simulations show that the formation of the active-OxH is coupled to
the reorientation of the substrate amide group, which now presents
the carbonyl oxygen stabilized by the HN backbone of hV51 (1.96 ± 0.18 Å) instead of hG52 (now at 3.87 ± 0.55 Å) and the amido group of l-Gln pointing toward the catalytic hH178 (2.81 ±
0.78 Å). Simultaneously, the electrophilic carbon of l-Gln moves closer to the nucleophilic thiol of hC84, which now explores much shorter catalytically competent distances
of 3.36 ± 0.33 Å. The carbonyl of l-Gln is further
stabilized by the HN backbone of hL85
(2.47 ± 0.39 Å), which completes the oxyanion hole together
with HNhV51. Overall, non-covalent interactions
between l-Gln and active site residues are enhanced when
transitioning from inactive-OxH to active-OxH states (Figure S25). All of these rearrangements can
facilitate the nucleophilic attack, proton transfer, and subsequent
stabilization of the tetrahedral intermediate required for efficient
glutamine hydrolysis. More importantly, this active-OxH conformation
of wtIGPS revealed by means of extensive aMD simulations
presents significant similarities with the recently obtained allosterically
activated hC84A IGPS X-ray structure (Figure S29).[32] Altogether,
μs-aMD simulations unraveled, without using a priori information of the active state, the catalytically competent pose
corresponding to the allosterically active ternary complex of wtIGPS.The striking allosteric event observed (i.e., hV51 oxyanion hole formation) occurs up to 4 times within
the 10 μs
aMD simulation (Figure a). Thus, IGPS in the ternary complex has the ability to transition
between the two dominant states of the oxyanion strand upon productive
HisF:HisH closure, indicating a lower energy barrier for the interconversion.
Moreover, the presence of both l-Gln and PRFAR clearly stabilizes
the active-OxH conformation in comparison to the infrequent transient
formations observed when only PRFAR is bound. This is suggesting that
a population shift toward the active-OxH state takes place at the
ternary complex (Figure S30). Moreover,
we observed only one hV51 oxyanion hole formation
in 1/5 replicas of PRFAR-free aMD simulations (Figure S23). However, in this particular case, the hV51 oxyanion hole remains formed for the rest of the simulation
time (up to 7 μs of aMD), thus indicating a higher barrier for
the oxyanion strand interconversion. To validate the results obtained
with aMD simulations, we performed unconstrained Gaussian accelerated
molecular dynamics (GaMD) simulations starting from the l-Gln-bound pose.[50,51] GaMD simulations also captured
the complete allosteric activation in the IGPS ternary complex with
the same sequence of events as described using aMD (Figure S31).To provide a reliable estimate of the underlaying
free-energy surface
of the oxyanion strand reorientation in the presence of l-Gln in both PRFAR-free and PRFAR-bound states, we performed well-tempered
metadynamics (WT-MetaD) simulations using ϕ-hV51 and ϕ-hG50 as collective variables (Figure c,d and SI Methods). We relied on the multiple-walkers
approach using ten conformations (walkers) as starting points taken
from the aMD simulations that encompass global and local features
of the allosterically inactive-OxH and active-OxH states (Figures S32–S34). The output information
from all walkers was used to completely reconstruct the free-energy
landscape (FEL) of the h49-PGVG oxyanion strand conformational
dynamics (Figure c).
The FEL shows remarkable differences in the PRFAR-free and ternary
complex states. In the ternary complex, the hV51
oxyanion hole formation presents an inactive-OxH to active-OxH barrier
of ca. 8 kcal/mol, while in PRFAR-free, this value increases to 22
kcal/mol. These results clearly indicate that the formation of the
active-OxH state is a much slower step in the absence of PRFAR. It
is also worth mentioning that the relative stability between the two
oxyanion strand orientations, i.e., inactive-OxH and active-OxH, is
preserved, which indicates that both states are similarly populated
in the ternary complex, thus playing an important role along the IGPS
catalytic cycle. To further study the effect of the PRFAR effector
and l-Gln substrate in the ternary complex ensemble, we reconstructed
the FEL of IGPS only in the presence of PRFAR (see Figure c,d, orange, and Figure S33). As expected, PRFAR stimulates the
dynamism of the oxyanion strand and the active-OxH state is destabilized
due to the absence of the substrate. l-Gln induces a population
shift toward active-OxH conformations that display productive HisF:HisH
closure (Figure S33). The inactive-to-active
transition of the hV51 oxyanion hole energy barrier
formation is also decreased substantially when both l-Gln
and PRFAR are present. All together confirms that the presence of
both PRFAR and l-Gln is essential to prime the adoption of
a fully active conformation in IGPS along the turnover, indicating
that communication between both sites is established (see the next
section).
Activation of Correlated Motions: Unraveling the Allosteric
Activation Mechanism of IGPS
After capturing IGPS in the
allosterically active state, the next question that we aimed to address
is how PRFAR and l-Gln activate correlated motions in the
ternary complex that control the HisF:HisH interface and oxyanion
strand conformational dynamics. To trace down the allosteric communication
pathways, we analyzed the time evolution of dynamic networks of residues
displaying correlated motions with the shortest path map (SPM) tool.[52,53] To capture the changes in the residue correlations along the relevant
steps of the allosteric activation, we split the SPM analysis of aMD
trajectories in concatenated time spans of 600 ns (i.e., from 0 to
600 ns, from 300 to 900 ns, from 600 to 1200 ns, etc.) in what we
call time-evolution SPM (te-SPM). The te-SPM analysis of the 5 μs
aMD simulation that captured substrate binding, HisF:HisH productive
closure, and subsequent active-OxH formation reveals a fine-tuning
of correlated motions and dynamic networks toward the allosteric activation
of IGPS in the ternary complex (Figures , S35, and S36).
Figure 6
General scheme of the IGPS allosteric activation. (a) Time-evolution
shortest path map (SPM) analysis along the key states of the activation
pathway. The sizes of the spheres and black edges are indicative of
the importance of the position for the IGPS conformational dynamics.
HisF (cyan), HisH (white), oxyanion strand (purple), Ω-loop
(green), and catalytic (orange) residues are depicted in different
colors. PRFAR, l-Gln, and catalytic hC84
are represented in sticks. The total number of residues included in
the SPM of each subunit is highlighted in boxes. (b) SPM map of the
IGPS active ternary complex corresponding to step 4. (c) General scheme
of the IGPS allosteric activation. Gray and light purple boxes denote
equilibrium and non-equilibrium.
General scheme of the IGPS allosteric activation. (a) Time-evolution
shortest path map (SPM) analysis along the key states of the activation
pathway. The sizes of the spheres and black edges are indicative of
the importance of the position for the IGPS conformational dynamics.
HisF (cyan), HisH (white), oxyanion strand (purple), Ω-loop
(green), and catalytic (orange) residues are depicted in different
colors. PRFAR, l-Gln, and catalytic hC84
are represented in sticks. The total number of residues included in
the SPM of each subunit is highlighted in boxes. (b) SPM map of the
IGPS active ternary complex corresponding to step 4. (c) General scheme
of the IGPS allosteric activation. Gray and light purple boxes denote
equilibrium and non-equilibrium.In the substrate-free form (step 1 in Figure , with PRFAR already bound), most of the
correlated motions are located in the HisH subunit and HisF:HisH interface,
involving connections with key residues for allosteric activation: fK99, fD98, fI93, hN15, or hP10. When l-Gln is captured
in the HisH active site and the HisF:HisH(θ) reaches ca. 15°
(step 2), the communication between the oxyanion strand (hG52 and hH53) and fα4 residues
(fG121 and fS122) is enhanced. After
productive HisF:HisH closure (step 3, ca. 1.1 μs), concerted
motions between both subunits are significantly enhanced and multiple
pathways connecting the interface of HisF and HisH arise. This includes
connections from hH53 to fL153,
catalytic hE180-hK181-fP76-fI75, or the anchor hW123-fA3. Interestingly, when active-OxH formations start taking
place (step 4, ca. 1.4 μs), multiple allosteric pathways through
HisF and HisH active sites arise. The connection between both sites
points out the existence of functional correlated motions at the ternary
complex. This long-range HisF:HisH communication dynamically couples
HisH residues of the oxyanion strand including hV51,
catalytic residues hC84 and hH178,
with HisF PRFAR binding site residues: fV12, fL50, fI102, fL222. Several
relevant allosteric paths are identified connecting the PRFAR site
with the glutaminase HisH site, including extensive networks of hydrophobic
residues consisting of HisF residues—fL50, fF49, fV79, fV100, fV125, fQ123, and fG121—and
HisH residues—hG52 and hV51
(Figure b). When the
oxyanion strand is in dynamic equilibrium between active-OxH and inactive-OxH
(step 5, ca. 5 μs), a new network of residues appears, connecting
the PRFAR active site with the interdomain HisF:HisH region. These
involve HisF residues fD130, fL169, fI199, fA220, fR5, fD45, fD98, and hN12 at
HisH, thus pointing out communication in both directions between the
substrate and effector sites. From this point, the communication between
both active sites evolves over time through multiple dynamic pathways
that encompass fD11 and fD130 and hC84 and hH178 catalytic residues of both HisF and HisH subunits,
respectively (see Figure S36). The te-SPM
analysis on the activation aMD simulation captures several residues
involved in millisecond motions in the ternary complex.[26] Additional complementary insights are gained
by tracing the changes in community networks and monitoring the molecular
interactions in the HisF and HisH subunits (see SI Extended Text and Figures S37–S39 for a complete
analysis of local changes in HisF and HisH subunits).
Discussion
Unraveling the molecular mechanisms of allosteric regulation in
enzymes involves the structural characterization of functionally relevant
states and also monitoring the time evolution of the dynamic conformational
ensemble toward the formation of the ternary complex.[2,12] Millisecond motions, activated by effector binding and finely tuned
by the substrate, trigger the allosteric activation of imidazole glycerol
phosphate synthase (IGPS), significantly stimulating glutamine hydrolysis
in the HisH subunit.[26,29,30] However, the rapid turnover observed in wtIGPS
and the instability of the effector PRFAR prevented the experimental
detection of the allosterically active state in the wild-type enzyme,
which still remains elusive.[32] The millisecond
allosteric activation of IGPS challenges the computational elucidation
of these functionally relevant states and the characterization of
the time evolution of the conformational ensemble upon ternary complex
formation. In this work, a computational strategy tailored to reconstruct
millisecond time scale events was devised to describe, step by step,
the allosteric activation of IGPS at the molecular level, from the
inactive substrate-free form to the active ternary complex. Our results
reveal a delicate coupling between effector and substrate binding,
as well as with the HisF:HisH interface conformational dynamics, which
all together regulate the allosteric activation of the IGPS ternary
complex. Without using a priori information of the
IGPS active state, the simulations spontaneously uncovered a closed
HisF:HisH interface of IGPS with the HisH active site preorganized
with the hV51 oxyanion hole properly oriented to
stabilize the substrate glutamine in a catalytically productive pose.
The computational insights provided in this study tie up the loose
ends of many of the existing knowns and unknowns in IGPS function
and allosteric regulation mechanism.We explored the effect
of PRFAR binding in the substrate-free conformational
ensemble of wtIGPS with microsecond conventional
molecular dynamics (cMD) and accelerated molecular dynamics (aMD)
simulations. Our μs-cMD simulations revealed that a hidden conformation
of the h49-PGVG oxyanion strand with the hV51 oxyanion hole formed (active-OxH) can exist in solution
when PRFAR is bound. In this active-OxH conformation, the HN backbone of hV51 is pointing toward the catalytic hC84, thus providing a HisH active site properly preorganized
to stabilize the tetrahedral intermediate formed in the glutaminase
reaction. This is consistent with the hypothesis that active-OxH can
assemble in IGPS as a result of allosteric activation by PRFAR.[23,26,27] Our computational insights bridge
the structural gap with NMR experiments that indicated broadening
beyond the detection of hG50 and hG52 NH signals upon PRFAR stimulation, suggesting the activation
of μs-ms motions in the HisH active site.[26,29] The active-OxH conformation is infrequently and transiently populated
in these μs-cMD simulations. The scarce population of the active-OxH
state together with the instability of PRFAR can contribute to explaining
why the crystallization of wild-type IGPS with PRFAR-bound and the
oxyanion hole formed remains elusive.[19,23,26,28] Recently, Yao and Hamelberg
captured a transient hV51 oxyanion hole formation
in the apo state of IGPS with μs-MD simulations,
indicating that the active-OxH conformation is also not stable in
the absence of both l-Gln and PRFAR.[41]The study of microsecond–millisecond motions of IGPS
in
the substrate-free form (absence of l-Gln and presence of
PRFAR) with aMD simulations shows multiple hV51 oxyanion
hole formations and also different degrees of closure of the HisF:HisH
interface, including the identification of a metastable closed state
of IGPS. This conformation, characterized by the alignment of hα1 and fα3 helices, is transiently
populated in the substrate-free simulations and resembles the substrate-bound
X-ray closed state of the catalytically inactive hC84A IGPS.[32] Our simulations indicate
that a closed state of the HisF:HisH interface can be attained in
solution, even in the absence of l-Gln or PRFAR. These results
are consistent with the idea that productive HisF:HisH closure is
key for efficient catalysis and for retaining the substrate during
glutamine hydrolysis and preventing the loss of the produced ammonia
to the media.[49,54] In line with these observations,
Kneuttinger et al. related the partial closure of IGPS with an increase
in catalytic activity by introducing a light-switchable non-natural
amino acid at position hW123.[48]The reconstruction of the PRFAR-IGPS conformational
ensemble in
the absence of l-Gln substrate revealed that the hV51 oxyanion hole formation and the closed HisF:HisH interface
states are transiently populated. Both events occur infrequently and
are uncoupled from each other in line with independent microsecond–millisecond
motions identified with NMR in the presence of PRFAR.[26] At this point, the molecular basis of l-Gln binding
into the HisH active site and the subsequent time of evolution toward
the formation of the allosterically active ternary IGPS complex were
still missing. The reconstruction of the spontaneous binding of glutamine
with unconstrained enhanced sampling aMD simulations showed l-Gln binding to the HisH active site in both PRFAR-free and PRFAR-bound
IGPS. In both cases, similar binding pathways are followed: initial
recognition by fQ123, l-Gln captured in
the active site when the oxyanion strand attains the inactive-OxH
state and the HisF:HisH interface is open, and ultimately stabilization
of l-Gln in the HisH active site by the HNhG52 and the side chains of a number of HisH and HisF residues.
These results are in line with IGPS being predominantly a V-type enzyme,
i.e., the substrate affinity is similar in PRFAR-free and PRFAR-bound.[19] It should be emphasized that the structural
analysis provided by aMD simulations suggests that the inactive-OxH
state of the oxyanion strand is a prerequisite for substrate binding
to the HisH active site. When the hV51 oxyanion hole
is formed, the binding of l-Gln is impeded by the side chain
of hL85, which lies between hV51
and hC84. These results provide the molecular explanation
to recent NMR studies with the inactivating hC84S
IGPS mutant that confirm that substrate binding only occurs when IGPS
attains the inactive state.[32] Our findings
suggest that in the presence of PRFAR, access to both the open state
of the HisF:HisH interface and the inactive-OxH state of the oxyanion
strand is a prerequisite for facilitating the recognition and the
accommodation of the substrate in the HisH active site.The
binding of l-Gln at the HisH active site, in tight
coupling with PRFAR, gates a sequence of conformational rearrangements
that unravel the time evolution toward the allosterically active state
of IGPS. Extensive μs-aMD simulations indicated that the coupled
effect of substrate and PRFAR binding significantly perturbs both
the dynamism of h49-PGVG oxyanion strand and the
HisF:HisH interface conformational ensemble. After l-Gln
is captured in the inactive-OxH conformation, the HisF:HisH interface
attains the productively closed state. Therefore, substrate binding
shifts the conformational ensemble toward closed states of IGPS. In
tight coupling with the interdomain closure, multiple long-lived formations
of the hV51 oxyanion hole are observed along the
aMD simulations in the presence of both PRFAR and l-Gln suggesting
similar relative stabilities of active-OxH and inactive-OxH states
and low interconversion barriers between them. Indeed, well-tempered
metadynamics (WT-MetaD) simulations indicate that the presence of
both PRFAR and l-Gln decreases the energy barrier of the
oxyanion strand rotation (8 kcal/mol) while keeping the equilibrium
between inactive-OxH and active-OxH populations unaltered in the ternary
complex. Moreover, WT-MetaD shows that PRFAR stimulates the dynamism
of oxyanion strand residues broadening the conformational ensemble
upon allosteric activation. This is in line with NMR experiments of
Lisi et al. that upon PRFAR binding observed a broadening of the ensemble
of IGPS conformations without significant changes in the average solution
conformations.[29] It also fits with their
mutagenesis and NMR experiments indicating that glutamine hydrolysis
and associated chemical steps are rate-limiting in the presence of
PRFAR.[29]The formation of active-OxH
state is coupled to a reorientation
of the substrate providing a nucleophilic attack catalytic distance
of around 3.4 Å, as opposed to the ca. 4.5 Å in the inactive-OxH
conformation. In the active-OxH state, l-Gln is therefore
finally properly oriented for proton abstraction and subsequent stabilization
of the tetrahedral intermediate. This change in the preorganization
of the HisH active site and the closure of the interdomain HisF:HisH
region can be key to triggering the catalytic activity. In line with
previous hypotheses based on NMR and kinetic experiments,[26,27,49] we suggest this conformation
as the allosterically active state of wild-type IGPS. Our aMD simulations
also point out that both the active-OxH and inactive-OxH states are
important for IGPS function, thus, the facile interconversion between
both states may be required for the different steps along the catalytic
cycle. The fast-dynamic equilibrium between active-OxH and inactive-OxH
could be the reason why the active state was not detected in NMR experiments
of wild-type IGPS. In the PRFAR-free state, the oxyanion strand interconversion
barrier is 3-fold higher (i.e., with a barrier of 22 kcal/mol, as
compared to 8 kcal/mol in the presence of PRFAR), while keeping the
equilibrium population of both oxyanion strand conformations equivalent.
Although we have not quantified the corresponding activation barrier
for glutamine hydrolysis, the rather high-energy barrier associated
to the conformational rearrangement of the HisH active site suggests
that conformational change is practically unattainable in PRFAR-free
IGPS at room temperature. This is indeed consistent with the observed
4500-fold enhancement of basal glutaminase activity of IGPS in the
presence of PRFAR.[18] It should be also
noted that based on solution NMR experiments on some IGPS mutants
a direct correlation between the population of the active conformation
and the activity of the IGPS complex (in terms of kcat) was proposed.[32] Our results
strictly focused on the wild-type IGPS enzyme, however, indicate that
PRFAR binding does not alter the relative populations of the active-OxH
and inactive-OxH states, but instead impacts the associated active-to-inactive
conformational transition barrier.The analysis of the allosteric
communications pathways carried
out in this work indicated that the communication between both active
sites evolves through multiple dynamic pathways as allosteric activation
progresses. The time-evolution shortest path map (te-SPM) analysis
revealed the existence of concerted motions that are activated upon
productive HisF:HisH interface closure and expand throughout the whole
HisF subunit, the interdomain region, and HisH active site, resulting
in the hV51 oxyanion hole formation. Of special interest
is the te-SPM analysis along the aMD simulation that captured the
complete allosteric activation, which successfully identified several
residues involved in millisecond motions in the ternary complex.[26,30] This contrasts with previous studies based on the application of
correlation-based tools focused on short nanosecond time scale MD
simulations unable to capture the allosteric activation process.[27] The coupled HisF:HisH interdomain closure with
the hV51 oxyanion hole formation and the activation
of correlated motions preceding allosteric activation are in line
with concerted μs-ms motions identified with NMR in the ternary
complex.[26] Recently, Maschietto et al.
identified different allosteric networks and collective motions in
IGPS from bacteria and yeast indicating that the dynamic networks
have been finely tuned along IGPS evolution.[40] The existence of multiple communication pathways and the activation
of millisecond motions are landmark features of dynamic allostery.[8] Based on these multiple communication pathways
in the te-SPM analysis and the observed broadening of the conformational
ensemble of IGPS in the presence of PRFAR, we suggest that IGPS allosteric
activation resembles the violin model of dynamics-based allostery
suggested in protein kinases.[55,56]
Conclusions
Through
the design of a computational strategy tailored to reconstruct
millisecond time scale events, we captured the essential molecular
details of the time evolution of the millisecond allosteric activation
of IGPS in the ternary complex. Based on these extensive conformational
sampling simulations, we suggest a general scheme for describing the
IGPS allosteric activation pathway taking place prior to the chemical
step (Figure c). First,
the hV51 oxyanion hole formation and closure of the
HisF:HisH interface pre-exist in solution in the substrate-free form,
although both are high-energy states in the IGPS-PRFAR conformational
ensemble. Second, substrate recognition occurs in the IGPS open HisF:HisH
interface state, while the oxyanion strand attains an inactive conformation.
Third, the interdomain region productively closes to retain the glutamine
in the HisH active site. Finally, formation of the hV51 oxyanion hole couples with the repositioning of the substrate
in a catalytically productive pose to finally form the allosterically
active state. The formation of this allosterically active state is
controlled by fine-tuned correlated motions connecting the PRFAR effector
and HisH binding sites that are activated throughout the whole process.The proposed model of the allosteric activation pathway of IGPS
based on the millisecond time scale computational strategy developed
provides multiple new molecular insights not previously identified
by means of X-ray crystallography, solution NMR experiments, and short
time scale MD simulations. Most importantly, it also answers many
of the open questions existing in IGPS allosteric regulation and function.
Our computational strategy can be used to decipher the molecular basis
of allosteric mechanisms in related enzymes, which is key for developing
new therapeutics and engineering novel enzymatic functions in IGPS
and related systems.
Methods
Computational
Strategy
Extended details of all simulations
protocols including system setup and simulation analysis can be found
in SI Methods. In this work, we use molecular
dynamics (MD) simulations, enhanced sampling techniques, and dynamical
networks to characterize the molecular details of the millisecond
allosteric activation of IGPS. IGPS is prepared for MD simulations
in both the absence (apo IGPS) and presence of PRFAR
(PRFAR-IGPS). The starting point for the computational sampling is
an inactive IGPS conformation (PDB: 1GPW, chains A and B), where the h49-PGVG oxyanion strand is found in an inactive conformation (the
HNhV51 is not pointing toward HisH active
site) and the HisF:HisH is found in a partially open state (HisF:HisH
interface angle of around 25°).From this initial structure,
the following computational strategy is applied to characterize the
allosterically active state of IGPS. First, we explored the effect
of PRFAR binding on the oxyanion strand conformational dynamics through
long time scale conventional MD (cMD) simulations to characterize
mirosecond time scale motions. These cMD simulations provided the
conformational ensemble of the oxyanion strand in both, the absence
(apo IGPS) and presence of PRFAR (PRFAR-IGPS). Second,
to capture the millisecond motions characteristic of IGPS allosteric
activation, we resorted to accelerated molecular dynamics (aMD). These
aMD simulations provided information about both, the oxyanion strand
dynamics and global IGPS dynamics beyond the microsecond time scale.
Third, representative structures obtained from the most relevant conformational
states of the oxyanion strand sampled in cMD simulations were used
as a starting point for studying the spontaneous glutamine substrate
(l-Gln) binding using aMD simulations. From these simulations,
we explored the spontaneous formation of the ternary complex initiated
by the substrate-binding process and subsequent allosteric activation.
Fourth, the metastable states identified with aMD were used as starting
points for well-tempered metadynamics (WT-MetaD) simulations to reconstruct
the free-energy landscape of the oxyanion strand conformational dynamics.
Specifically, 10 representative conformations that encompass global
and local features of allosterically inactive-OxH and active-OxH states
extracted from aMD simulations were used as starting points for WT-MetaD
simulations. Finally, we explored the existence of correlated motions
with the shortest path map (SPM) tool along the allosteric activation
process that highlights an enhancement of communication between the
two subunits upon activation. SPM is calculated in time spans of 600
ns along the aMD trajectory that describes the complete allosteric
activation of IGPS considering all Cα of the protein. The different
steps of the computational protocol are summarized in Figures d and S1. Relevant structures of key functional states and molecular
dynamics trajectories are available at https://github.com/ccalvotusell/igps.
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