Asier Urriolabeitia1, David De Sancho2, Xabier López2. 1. Department of Physical Chemistry, University of Zaragoza, Calle Pedro Cerbuna, 12, 50009 Zaragoza, Spain. 2. Polimero eta Material Aurreratuak: Fisika, Kimika eta Teknologia, Kimika Fakultatea, UPV/EHU & Donostia International Physics Center (DIPC), PK 1072, 20080 Donostia-San Sebastián, Spain.
Abstract
Mimosine is a nonprotein amino acid derived from plants known for its ability to bind to divalent and trivalent metal cations such as Zn2+, Ni2+, Fe2+, or Al3+. This results in interesting antimicrobial and anticancer properties, which make mimosine a promising candidate for therapeutic applications. One possibility is to incorporate mimosine into synthetic short peptide drugs. However, how this amino acid affects the peptide structure is not well understood, reducing our ability to design effective therapeutic compounds. In this work, we used computer simulations to understand this question. We first built parameters for the mimosine residue to be used in combination with two classical force fields of the Amber family. Then, we used atomistic molecular dynamics simulations with the resulting parameter sets to evaluate the influence of mimosine in the structural propensities for this amino acid. We compared the results of these simulations with homologous peptides, where mimosine is replaced by either phenylalanine or tyrosine. We found that the strong dipole in mimosine induces a preference for conformations where the amino acid rings are stacked over more extended conformations. We validated our results using quantum mechanical calculations, which provide a robust foundation for the outcome of our classical simulations.
Mimosine is a nonprotein amino acid derived from plants known for its ability to bind to divalent and trivalent metal cations such as Zn2+, Ni2+, Fe2+, or Al3+. This results in interesting antimicrobial and anticancer properties, which make mimosine a promising candidate for therapeutic applications. One possibility is to incorporate mimosine into synthetic short peptide drugs. However, how this amino acid affects the peptide structure is not well understood, reducing our ability to design effective therapeutic compounds. In this work, we used computer simulations to understand this question. We first built parameters for the mimosine residue to be used in combination with two classical force fields of the Amber family. Then, we used atomistic molecular dynamics simulations with the resulting parameter sets to evaluate the influence of mimosine in the structural propensities for this amino acid. We compared the results of these simulations with homologous peptides, where mimosine is replaced by either phenylalanine or tyrosine. We found that the strong dipole in mimosine induces a preference for conformations where the amino acid rings are stacked over more extended conformations. We validated our results using quantum mechanical calculations, which provide a robust foundation for the outcome of our classical simulations.
Mimosine, or β-[N-(3-hydroxy-4-oxypyridyl)]-α-aminopropionic
acid, is a nonproteinogenic amino acid found in the members of the
Mimosoideae clade.[1] It has been found to
be a reversible inhibitor of DNA replication because of its ability
to strongly bind to metals in the active site of many enzymes.[2] Based on this activity, mimosine has been reported
to have antimicrobial, antifungal,[3] and
antiviral properties.[4] Moreover, it has
also found its way in therapeutic applications, showing anticancer
activity[5] and anti-inflammatory properties.[6]One of us recently proposed mimosine-containing
peptides as the
decorporation agents of Al(III), a recognized neurotoxin.[7] This proposal is based on the structural similarity
of mimosine to deferiprone (DFP), a drug used for Fe(II) removal that
has also shown promising results on treating the accumulation of high-valent
metal cations,[8−10] such as Al(III) and Fe(III). The proposed compounds
had similar structures to that of deferoxamine (DFO), another drug
used for Fe(II) decorporation (see Figure ). DFO is able to bind to all six vacancies
of Fe(II), making it a very strong ligand. Studies have shown that
DFO is a more effective decorporation agent than DFP.[11] However, it suffers from other issues, such as being poorly
absorbed and some secondary effects.[12] Thus,
the development of novel polypeptides able to strongly bind to all
six vacancies of Al(III) can be a highly promising approach to create
decorporation agent candidates.[13,14] However, the effects
of this nonprotein amino acid in the context of a polypeptide chain
have not been explored.
Figure 1
Structure of DFO (A), DFP (B), and the l-mimosine residue
(C). Atoms in orange are the ones binding to metals.
Structure of DFO (A), DFP (B), and the l-mimosine residue
(C). Atoms in orange are the ones binding to metals.In this work, we have studied the properties of mimosine
and its
influence on polypeptides containing it using atomistic molecular
dynamics (MD) simulations. MD has become a standard tool for the characterization
of structural propensities of peptides and disordered proteins in
aqueous solutions.[15] However, for nonprotein
amino acids such as mimosine, parameters for running simulations are
not widely available. To this end, we have parameterized the mimosine
residue for two widely used Amber force fields, ff99SB[16] and ff03.[17] We have
then run simulations of two peptides of different lengths relevant
as metal chelators and studied the effects of mimosine residues. As
reference, we also simulated peptides where the mimosine residue is
replaced by one of its most similar protein amino acids, tyrosine
and phenylalanine. For both force fields, we found that mimosine exhibits
strong electrostatic interactions that significantly influence the
peptide behavior. We validated our results against quantum mechanical
(QM) calculations of these systems, which give a more detailed view
of the energetics in mimosine peptides.
Methods
Mimosine Parameterization
The parameterization of the
mimosine amino acid was performed using the AmberTools14 package.[18] Both the ff99SB and ff03 force fields include
atom types that can be used to define the topology of every atom in
the mimosine residue. Therefore, the original parameter sets of the
force fields contain all necessary bonded and van der Waals parameters.
Nonetheless, atomic charges for the residue had to be derived for
both force fields. We followed the methods described by the force
field developers as closely as possible. A minor change is that we
replaced the geometry optimizations, originally done with prior force
fields, by quantum mechanical (QM) optimizations (see the Supporting Information). This small modification
was first validated by deriving the charges of selected amino acids
for both force fields. Specifically, we used our protocol for phenylalanine
and tyrosine, which were chosen due to their structural similarity
to mimosine, and asparagine and tryptophan since both contain an sp2 nitrogen like that in the mimosine ring.
Equilibrium
MD Simulations
To explore the effects of
mimosine in the conformational preferences of short peptides, we have
run MD simulations of two model systems, with sequences Ace-XGPGXG-Nme
and Ace-XGPGXGGX-Nme[14] (see Figure ). In these systems, X can
be either the mimosine amino acid (Mms), Phe, or Tyr, which we use
for the purpose of comparison. Peptide chains were initially modeled
as right-handed α-helices using the Molefacture plugin of VMD.[19] They were placed in periodic orthorhombic boxes,
leaving 1 nm of margin in each direction. All MD simulations were
performed using the ff99SB and ff03 force fields (including the mimosine
amino acid) and the TIP3P water model.[20] The systems were solvated (see the number of molecules in Table S1) and energy-minimized using the steepest
descent algorithm and then equilibrated in two stages. First, we run
a 100 ps simulation in the NVT ensemble and then
another 100 ps in the NPT ensemble, both including
position restraints in the protein heavy atoms. Simulations were run
at 300 K using a velocity-rescaling thermostat[21] using a 2 fs time step and the Parrinello–Rahman
pressure coupling[22] to fix the pressure
at 1 bar. Production MD simulations were run using the same conditions
as the NPT equilibration. Dynamics were propagated
for 500 ns, and three replicates were run for each system. In the
case of the Mms-containing octapeptides, these replicates were propagated
for 500 additional nanoseconds to ensure convergence of data. Electrostatic
interactions were calculated using the particle mesh Ewald method,[23] and the cutoffs for both electrostatic and van
der Waals interactions were 1 nm. The GROMACS package (version 2018)
was used to run all of the simulations.[24]
Figure 2
Peptides
used in our equilibrium simulations to study the conformational
preferences. These sequences were selected based on the work of Lachowicz
et al.[14]
Peptides
used in our equilibrium simulations to study the conformational
preferences. These sequences were selected based on the work of Lachowicz
et al.[14]
Metadynamics
To understand the differences in the torsional
propensities between mimosine and its most similar protein amino acids,
we have calculated their free energy landscapes in acetylated and
amidated forms (i.e., Ace-X-Nme, with X = Mms, Phe, or Tyr) using
metadynamics. In order to run these calculations, we used the PLUMED
plugin for version 2018.6 of the GROMACS package.[25] Simulations were prepared and run using the same methodology
as the equilibrium dynamics. Metadynamics were initially run for 30
ns, and if the system did not converge, they were further extended
for 5 additional ns, after which convergence was reassessed. A system
was considered converged if both the height of the deposited Gaussians
and the free energy difference between the two most stable conformations
(αR and β) showed no significant changes in
the last 5 ns of the simulation. The collective variables studied
were the backbone dihedral angles (Φ and Ψ). The bias
factor chosen was 6, Gaussians were deposited every 500 steps (1 ps),
and their width was 0.35 rad in each cross-validation and started
at a height of 1.2 kJ/mol. Matplotlib 3.1.1[26] and the metadynminer package of Ra were used
for plotting the results.
DFT Calculations
All structures
were optimized and
characterized using Gaussian 16 software[27] employing the wB97XD density functional[28] in conjunction with the 6-311++G(d,p) basis set for all atoms[29−36] and taking into account aqueous solvation effects using the polarizable continuum model (PCM) approach.[37] The characterization of fully optimized structures confirmed
that all minima have no imaginary frequencies.Electronic and
solvation energies were further refined by single-point calculations
at the wB97XD/6-311++G(3df,2p)/PCM(water) level of theory, hereafter
referred to as the density functional theory (DFT) level of theory.
Taking into account these energies, we evaluated the interaction energies
ΔEint between the rings that form
the side chains of Mms, Tyr, and Phe as the difference in energy between
the ring dimers and the infinitely separated rings. For instance,We also selected some snapshots from
the MD
simulations and calculated the interaction between the stacked-ring
dimers by constrained optimizations, in which the rings were forced
to maintain the same distance and relative orientation as in the MD
structure. This was done by freezing the relative distance between
the nitrogen atoms of the mimosine rings and fixing the dihedral formed
between OC–N2–N2–CO atoms. For Phe rings, analogous
constraints were introduced. Finally, an assessment of the stabilization
of these structures introduced by the presence of Mms rings was made
by full quantum calculations of a simplified model of the model pentapeptide.
Results and Discussion
In this section, we present and analyze
the results obtained in
this work. First, we assess the validity of the charge derivation
methods and examine the charges obtained for the mimosine. Second,
we present the results obtained from metadynamics calculations to
study the torsional propensities of this amino acid. Then, we introduce
the data from simulations of Mms-containing polypeptides and compare
them to simulations of analogues obtained by substituting Mms with
Phe or Tyr. Finally, we validate our results against QM calculations.
Mimosine
Charge Derivation
The charge derivation methods
used for Mms replicated the methods used for the protein amino acids
while substituting the processes that required data from prior force
fields by QM calculations. We evaluated their results by comparing
the charge distributions obtained for four representative residues
against those published by the authors of the force fields. As shown
in Figure , we obtain
excellent agreement between the existing parameters and those we have
obtained with the slightly modified version of the protocol for charge
derivation. These results confirm the adequacy of the methodology
applied in this work to produce a set of atomic charges consistent
with the Amber methodology.
Figure 3
Correlation between the original and derived
charges with the modified
workflow for the Amber ff99SB (left) and ff03 (right) force fields.
We show results for Phe, Tyr, Asn, and Trp as squares for backbone
atoms and triangles for side-chain atoms. The dashed black line marks
the identity line, and the red line is a linear fit to the data.
Correlation between the original and derived
charges with the modified
workflow for the Amber ff99SB (left) and ff03 (right) force fields.
We show results for Phe, Tyr, Asn, and Trp as squares for backbone
atoms and triangles for side-chain atoms. The dashed black line marks
the identity line, and the red line is a linear fit to the data.We then moved on to produce charges for the Mms
residue, which
we compare in Figure with those for Phe and Tyr. For both force fields, we observe similar
trends in the charge distributions. The aromatic rings of Phe and
Tyr show evenly distributed negative charges among the carbons and
positive ones among the hydrogens bonded to them, whereas carbons
bonded to the β carbon or electron-withdrawing groups show more
positive charges. This effect is also observed for Mms but to a greater
extent, with the carbons bonded to the hydroxy and oxo groups being
positively charged, especially the latter one. Furthermore, the N2
nitrogen atom of the Mms ring shows a more positive charge than those
of its analogue carbons in Phe and Tyr, which can be correlated with
the nitrogen donating two p-electrons by resonance, rather than the
one donated by the carbons. These positive charges are balanced by
the neighboring atoms, leading to significantly more negative charges
in the CD and CE atoms. While these distinctions for the Mms charges
can be observed for both force fields, it should be noted that they
are heightened for ff99SB.
Figure 4
Calculated partial charges for the Amber ff99sb
and ff03 force
fields for Mms, Phe, and Tyr.
Calculated partial charges for the Amber ff99sb
and ff03 force
fields for Mms, Phe, and Tyr.
Free Energy Landscape of the Mimosine Dipeptide
In
order to understand the differences between the mimosine residue and
the protein amino acids that it more closely resembles, we used the
new set of parameters in MD simulations. Specifically, we performed
metadynamics simulations on the terminally blocked peptides (often
termed dipeptides) of Mms, Phe, and Tyr (see Methods). The resulting free-energy surfaces as a function of the backbone
dihedral angles, Φ and Ψ, which agree well with previous
results for Phe and Tyr,[38] are shown in Figure . For both the ff99SB
and ff03 force fields, we find very similar free energy surfaces for
the three dipeptides, suggesting only subtle differences in the backbone
conformational preferences. The deepest free energy well corresponds
to the PPII/β conformation in all cases, with the exception
of Tyr with the ff03 force field, where αR minimum
is marginally more stable (∼0.7 kJ/mol lower in free energy;
see Table ). As expected,
the αL conformation is significantly less stable
than the β/PPII and αR, although the difference
in free energy is lower in the case of mimosine. Additionally, for
both force fields, we find that the free energy barrier between the
PPII/β and αL wells is notably lower for mimosine
than it is for both Phe and Tyr (see Table ). This may have an effect in polypeptide
dynamics as more frequent transitions to sample the αL free energy basin will be facilitated.
Figure 5
Ramachandran free energy
landscapes for Phe, Tyr, and Mms dipeptides
calculated using the ff99sb and ff03 Amber force fields.
Table 1
Free Energy Difference in kJ/mol of
the αR and αL Conformations Relative
to the PPII/β for the Phe, Tyr, and Mms Dipeptides for the ff99SB
and ff03 Force Fields
Mms
Phe
Tyr
ff99SB
αR
3.5
5.1
3.4
αL
8.2
12.4
11.5
ff03
αR
2.5
1.2
–0.7
αL
11.9
21.1
20.6
Table 2
Free Energy Barriers in kJ/mol from
the Most Stable Conformation for the Phe, Tyr, and Mms Dipeptides
for the ff99SB and ff03 Force Fields
Mms
Phe
Tyr
ff99SB
PPII/β → αR
10.5
13.9
13.4
PPII/β → αL
26.4
36.8
36.1
ff03
PPII/β → αR
11.4
15.4
14.8
PPII/β → αL
20.1
34.8
34.5
Ramachandran free energy
landscapes for Phe, Tyr, and Mms dipeptides
calculated using the ff99sb and ff03 Amber force fields.
Conformational Preferences
of Mimosine in Short Peptides
Having estimated the free energy
landscapes for the capped amino
acids, we now evaluate the behavior of Mms in relation to Tyr and
Phe in two short peptides with enhanced antimicrobial activity[14] for both ff99SB and ff03 (see Figure ). The first set of MD corresponds
to an hexapeptide with sequence Ace-XGPGXG-Nme, where X can be either
mimosine, phenylalanine, or tyrosine (see Methods). To characterize the dimensions of these peptides, we estimate
the distribution of the radius of gyration (Rg, see Figure ). We find that the distributions differ significantly between the
Mms hexapeptide and its analogues including Phe and Tyr. Specifically,
the distributions of Rg values of the
mimosine peptide are narrower and are centered at higher radius values
than those of the Phe/Tyr peptides, suggesting the prevalence of conformations
with a more expanded chain for the Mms peptide. The maxima for both
force fields in the case of the mimosine hexapeptide are at ∼0.51
nm and the relative frequencies reached are considerably higher than
those observed for either the Phe or Tyr peptides, with over 58 and
41% of the population being between 0.49 and 0.53 nm for ff99SB and
ff03, respectively. While the distribution is slightly broader for
ff03, the same trend can be observed for both force fields.
Figure 6
MD results
for the hexapeptide. Left: Distribution of radius of
gyration values. Center: Distributions of average distances between
every heavy-atom rings for Mms, Phe, and Tyr. Right: Distributions
of the average angle between planes defined by the rings of Mms, Phe,
and Tyr. In all cases, we show results for X being Mms, Phe, and Tyr
and for both the ff99SB and ff03 force fields. Error bands indicate
standard deviations from three independent runs.
MD results
for the hexapeptide. Left: Distribution of radius of
gyration values. Center: Distributions of average distances between
every heavy-atom rings for Mms, Phe, and Tyr. Right: Distributions
of the average angle between planes defined by the rings of Mms, Phe,
and Tyr. In all cases, we show results for X being Mms, Phe, and Tyr
and for both the ff99SB and ff03 force fields. Error bands indicate
standard deviations from three independent runs.This result suggests that the geometries that are not particularly
important for Phe/Tyr peptides become much more favorable for the
Mms peptide. Further inspection of the trajectories revealed that
mimosine significantly favors conformations where the peptide rings
can interact. This is captured by the maxima around 0.44 nm in the
distribution of inter-ring distances, as shown in Figure . The same trends can be observed
for both force fields, although to a different degree, with the preference
for short inter-ring distances being more prominent for ff99sb. Additionally,
a second maximum in the population appears at distances around 0.84
nm. This type of conformation dominates in the X = Phe/Tyr peptides
and is stabilized mainly by hydrogen bonds within the protein backbone
(see Figure S1 in the Supporting Information).Therefore, the hexapeptide presents two dominant conformations,
one stabilized by interactions between the Mms rings and a second
one stabilized by interactions in the backbone, leaving its Mms rings
at longer distances. On the other hand, the Phe and Tyr hexapeptides
show only one prevalent conformation, the latter one. To understand
the interactions between the Mms rings, we analyzed their relative
orientations. In Figure , we show the distribution of the angle θ between the rings,
which is drastically different in the mimosine peptide from that in
both the Phe and Tyr peptides.All of the results can be related
to the strong interactions found
in the out-of-register stacking of Mms rings. The positively charged
COH atom can interact with the negatively charged CD and CF atoms.
Similarly, the interactions of the CO and OC atoms in the different
rings also favor this stacking pattern. On the contrary, the stacking
of Phe and Tyr rings is considerably less favored. Therefore, the
stacking of rings will be a significant driving factor of the conformations
adopted by the mimosine hexapeptide, while for Phe and Tyr it has
little or no influence. The most stabilizing interactions for these
peptides are hydrogen bonds between the amide groups in the backbones.
These interactions give rise to β-strand-like conformations
in which the rings are separated corresponding to the maxima centered
at 0.84 nm. The greater freedom of movement of the rings in these
conformations explains why these maxima are considerably broader than
those corresponding to conformations with their rings tightly stacked.
These β-strand-like conformations will also be observed for
the mimosine hexapeptide as the interactions between backbone groups
compete with the stabilization of the Mms ring stacking. The differences
between the results observed for the mimosine peptide in the two used
force fields could be correlated with the Mms ring charges derived
for ff03 being considerably lower than those obtained for ff99SB.
Thus, the electrostatic interactions that favor ring stacking are
weaker for this force field.We have run an additional set of
simulations on a slightly longer
peptide with the sequence Ace-XGPGXGGX-Nme (see Figure ). In this case, the focus was on the stacking
effect between their rings. In Figure , we show the distribution of average distances between
the heavy atoms in the rings of the studied peptides for the ff99SB
and ff03 force fields, respectively. For convenience, we label the
rings 1–3 going from the N to the C-terminus. As observed for
the hexapeptide, the Mms-containing octapeptide behaves in a significantly
different manner than its analogues, favoring conformations in which
Mms rings are stacked. As observed for the hexapeptide, the Mms ring
stacking is less prevalent when using ff03. The distinct behavior
triggered by the Mms residues is also manifest in the results of the
other two ring pairs.
Figure 7
Distribution of inter-ring distances for rings 1 and 2
(top), 1
and 3 (center), and 2 and 3 (bottom) for octapeptides using the ff99SB
(left) and ff03 (right) force fields. Error bands indicate standard
deviations from three independent replicates.
Distribution of inter-ring distances for rings 1 and 2
(top), 1
and 3 (center), and 2 and 3 (bottom) for octapeptides using the ff99SB
(left) and ff03 (right) force fields. Error bands indicate standard
deviations from three independent replicates.
Quantum Chemical Calculations on Mimosine Dimers
To
provide insight into the interaction energy between the mimosine rings,
we performed DFT calculations (see Methods). First, we analyze the interaction energies for the side-chain
models of Phe, Tyr, and Mms (see Figure ). We started the optimization from two different
ring orientations, in which the rings lie parallel or antiparallel
to each other; namely, the methyl substituents, representing the β-carbon,
lie at the same or opposite sides. Departing from the parallel orientation,
we found significant differences among the three dimers. In the case
of the Phe–Phe dimer, we found both parallel and antiparallel
structures with small differences in ΔEint −5.5 versus −5.1 kcal/mol, respectively.
However, in the case of Tyr, the stacking between the rings in the
parallel conformation is disturbed to form a hydrogen bond, with a
ΔEint of −6.3 kcal/mol, whereas
the antiparallel conformation maintains the ring stacking, although
the interaction is slightly weaker −5.7 kcal/mol. In the case
of mimosine, the optimization that started from the parallel conformation
led to the relative rotation of the rings, yielding the antiparallel
structure, with a significant interaction energy of −9.1 kcal/mol.
Therefore, the stability order of the dimers is Mms–Mms >
Tyr–Tyr
> Phe–Phe. These differences in energy are even greater
when
gas-phase calculations are considered with ΔEint Mms–Mms (−17.0 kcal/mol) > Tyr–Tyr
(−8.4 kcal/mol) > Phe–Phe (−6.2 kcal/mol).
Figure 8
ΔEint interaction energies from
DFT calculations for the interactions of the ring dimers in solution
for parallel and antiparallel orientations. Values in parenthesis
correspond to gas-phase calculations. For Tyr–Tyr and Mms–Mms
dimers, we also consider the effect of adding explicit water molecules.
ΔEint interaction energies from
DFT calculations for the interactions of the ring dimers in solution
for parallel and antiparallel orientations. Values in parenthesis
correspond to gas-phase calculations. For Tyr–Tyr and Mms–Mms
dimers, we also consider the effect of adding explicit water molecules.For Tyr and Mms dimers, we also consider the effect
of adding explicit
waters in the calculations. In this case, we evaluate the interaction
energy of the dimers with respect to the monomer composed of one ring
hydrogen-bonded to a water molecule. Both Tyr–Tyr and Mms–Mms
systems can interact through hydrogen bonds with these waters. Still,
the interaction of mimosine rings is more efficient since it can act
both as a hydrogen donor and acceptor through the alcohol and carbonyl
oxygens at the same time. Interestingly, the interactions with water
molecules stabilize the parallel orientation of the mimosine rings,
obtaining the overall stronger interaction among dimers, −14.1
kcal/mol, since both water molecules can adopt a geometry in which
they also interact through a hydrogen bond. Notice, however, that
even in the case of the antiparallel Mms–Mms structure, the
addition of water molecules also has a stabilizing effect, with an
interaction energy of −13.4 kcal/mol. The ΔEint in both Mms–Mms dimers is significantly higher
than that in Tyr–Tyr dimers.In summary, Mms dimers show
larger interaction energies than Phe
or Tyr dimers. We also observe that the dipole of each mimosine ring
is 9.7 D, which explains the strong interaction energy in these stacked
structures and the reorientation from parallel to antiparallel conformation
in the optimization procedure in the absence of explicit water molecules.
Therefore, there is an inherent preference for an antiparallel orientation
of both Mms rings. However, the presence of explicit water molecules
and the resultant hydrogen bonding network can lead to a substantial
stabilization of the parallel orientation.
Relevance of Ring Stacking
from QM Calculations
The
interaction between mimosine rings inside the peptide structure could
be frustrated due to the constraints imposed by the peptide backbone.
Therefore, one may wonder whether the inherent strong stacked interactions
between mimosines are also significant in the peptides. To prove this,
we have selected some snapshots from the MD for the mimosine hexa-
and octapeptides. We have performed optimizations of the ring dimers
constrained to maintain the distance and relative orientations between
the rings found in the peptides. The results are summarized in Figure . For comparison,
we also evaluated the interaction energy of Phe–Phe dimers
with analogous constraints. In all cases, the interaction between
two mimosine rings was significantly higher than the interaction between
two phenyl rings by roughly 1.5 kcal/mol for the interaction between
the Mms1–Mms5 and Mms5–Mms8 dimers. In the case of the Mms1–Mms8 interaction, we also found a structure with mimosine side
chains in an antiparallel conformation, which led to the highest interaction
among the dimers −8.0 kcal/mol, almost double the interaction
between the phenyl dimer analogues, −4.6 kcal/mol. In addition,
we considered DFT calculations with a reduced model of the mimosine
hexapeptide (see Figure ), which maintains the backbone atoms connecting both rings.
Then, a substitution reaction energy is calculated for the exchange
between mimosine and phenyl side chains. The resultant reaction energy
ΔEr = −1.8 kcal/mol reveals
a significant stabilization by mimosine dimer interaction. Notice
that the stabilization is very similar to the one obtained by the
constrained minimizations, namely, ΔΔEint = −1.6 kcal/mol. However, these estimations
of the stabilization of stacking conformations of mimosine rings should
be considered a lower limit since as we have seen before, stacked
mimosine rings can also be further stabilized by a favorable hydrogen-bond
network with water molecules, a feature not possible for phenyl rings.
Figure 9
ΔEint interaction energies in
solution at the DFT level of theory for the mimosine (Mms) dimers
and trimers extracted from the hexa and octapeptide selected structures
and for analogous phenyl ring (Phe) dimers and trimers in parenthesis.
Energies in kcal/mol. For the trimers, we considered constrained optimizations
and unconstrained ones (trimer and trimer–water structures).
Figure 10
Substitution reaction energy, in kcal/mol, showing the
stabilization
introduced when mimosine rings substitute phenyl rings in these structures.
We have considered a reduced model of the hexapeptide, which maintains
only the backbone between the residues containing both rings. Energies
calculated at the DFT level of theory.
ΔEint interaction energies in
solution at the DFT level of theory for the mimosine (Mms) dimers
and trimers extracted from the hexa and octapeptide selected structures
and for analogous phenyl ring (Phe) dimers and trimers in parenthesis.
Energies in kcal/mol. For the trimers, we considered constrained optimizations
and unconstrained ones (trimer and trimer–water structures).Substitution reaction energy, in kcal/mol, showing the
stabilization
introduced when mimosine rings substitute phenyl rings in these structures.
We have considered a reduced model of the hexapeptide, which maintains
only the backbone between the residues containing both rings. Energies
calculated at the DFT level of theory.We also observed the formation of mimosine-stacked trimers with
an interaction energy of −11.2 kcal/mol. If the constraints
in geometry optimization are removed, we obtain an interaction energy
of −13.6 kcal/mol, maintaining a similar structure and ring
orientation. The interaction of these mimosine trimers is 4 kcal/mol
stronger than analogous phenyl trimers. Finally, when explicitly considering
the presence of water molecules, we observed a significant synergy
in stabilization between stacked configuration and hydrogen-bonded
network, with an interaction energy of −26.7 kcal/mol with
respect to three separated mimosines, each one hydrogen-bonded to
a water molecule.In summary, although the peptides introduce
constraints to the
spatial arrangements that mimosine side chains can adopt, stacked
mimosine configurations such as those observed in our classical simulations
with the new Amber force field parameters are still prevalent and
introduce significant stabilization. These stacked interactions are
stronger than the ones for analogous Phe side chains. Our DFT calculations
suggest that they are stabilized by the strong interaction between
large dipole-containing mimosine rings and a stable hydrogen bond
network with water molecules.
Conclusions
In
this study, we have produced force field parameters for the
nonprotein amino acid mimosine, with specific emphasis in the generation
of new sets of charges for both Amber force fields ff99SB and ff03
using validated methods. We have first run metadynamics simulations
on terminally blocked amino acids to estimate the Ramachandran free
energy surfaces using the new parameters and compared them with similar
calculations for Phe and Tyr. When performed on the Mms dipeptide,
these simulations revealed a similar free energy landscape to that
of the Phe and Tyr for both ff99SB and ff03. While all three dipeptides
had β and α as their most stable conformations, Mms showed
remarkably lower barriers, which may lead to faster conformational
transitions. Although Mms showed a relatively more stable αL conformation, it was not stable enough to play a role in
the behavior of the peptide unless an external effect significantly
stabilizes it.Then, we assessed the effect of mimosine in the
conformational
preferences of short peptides, relative to its most similar amino
acids, Phe and Tyr. In contrast to both of them, we observed the off-register
stacking of the Mms rings due to the higher atomic charges on its
ring and β carbon. The MD simulations showed that polypeptides
containing various Mms amino acids in their sequence go under considerably
less conformational changes than their analogues. This is caused by
the highly favored Mms ring stacking. Most conformations that these
polypeptides adopted throughout the simulations had their rings stacked,
severely limiting the diversity of observed conformations. In the
ff99SB force field, the ring stacking of the Mms peptides separated
by the Gly–Pro–Gly chain the ring is favored over others,
dictating the behavior of the polypeptides containing this sequence.
In the ff03 force field, multiple ring stacking arrangements are prevalent,
resulting in a greater variability of conformations.Quantum
chemical calculations using density functional theory confirmed
the favorable ring stacked arrangements of mimosines, with interaction
energies of mimosine-stacked structures being significantly higher
than analogue Phe or Tyr arrangements. This is due to a combined effect
between inherent larger interaction energy for large-dipole mimosine
rings and a suitable hydrogen bond network with water molecules.We hope that the parameter sets that we have produced are helpful
in future investigations involving this amino acid, with highly promising
properties of biomedical relevance. Although both the ff99SB and ff03
force fields are known to have biases toward right-handed α-helical
or β-sheet conformations,[39] the parameters
that we have produced may serve as a useful starting point for future
modeling efforts including more recent modifications. Also, the observation
of general trends in two force fields of the Amber family with opposite
biases suggests that our conclusions about the amino acid are robust
and likely to be due to the particular chemistry of mimosine.