The study of nucleic acids in low-polarity environments paves the way for novel biotechnological applications of DNA. Here, we use a repertoire of atomistic molecular simulation tools to study the nature of DNA when placed in a highly apolar environment and when transferred from aqueous to apolar solvent. Our results show that DNA becomes stiffer in apolar solvents and suggest that highly negatively charged states, which are the most prevalent in water, are strongly disfavored in apolar solvents and neutral states with conformations not far from the aqueous ones are the dominant forms. Transfer from water to an apolar solvent such as CCl4 is unlikely to occur, but our results suggest that if forced, the DNA would migrate surrounded by a small shell of water (the higher the DNA charge, the larger the number of water molecules in this shell). Even the neutral form (predicted to be the dominant one in apolar solvents) would surround itself by a small number of highly stable water molecules when moved from water to a highly apolar environment. Neutralization of DNA charges seems a crucial requirement for transfer of DNA to apolar media, and the most likely mechanism to achieve good transfer properties.
The study of nucleic acids in low-polarity environments paves the way for novel biotechnological applications of DNA. Here, we use a repertoire of atomistic molecular simulation tools to study the nature of DNA when placed in a highly apolar environment and when transferred from aqueous to apolar solvent. Our results show that DNA becomes stiffer in apolar solvents and suggest that highly negatively charged states, which are the most prevalent in water, are strongly disfavored in apolar solvents and neutral states with conformations not far from the aqueous ones are the dominant forms. Transfer from water to an apolar solvent such as CCl4 is unlikely to occur, but our results suggest that if forced, the DNA would migrate surrounded by a small shell of water (the higher the DNA charge, the larger the number of water molecules in this shell). Even the neutral form (predicted to be the dominant one in apolar solvents) would surround itself by a small number of highly stable water molecules when moved from water to a highly apolar environment. Neutralization of DNA charges seems a crucial requirement for transfer of DNA to apolar media, and the most likely mechanism to achieve good transfer properties.
DNA is a highly polar
molecule, evolved to be stable in high-dielectric
environments, such as aqueous solution, which is the main environment
considered in most experimental and theoretical studies. However,
understanding the properties of DNA in low-polarity environments is
crucial for many nanotechnological applications of DNA[1,2] and is instrumental in understanding how nucleic acids acting as
antigene or antisense drugs pass through the highly hydrophobic cellular
membrane, and how DNA can be transported in the body by means of liposome
carriers.[3−7]Water and counterions are crucial to screen the electrostatic
repulsion
among charged phosphates and also favor the apolar stacking of bases.
Accordingly, the large impact of solvent modification on the properties
of DNA is not surprising. For example, a subtle change in the neutralizing
cation can lead to a dramatic conformational change[8,9] or
even to a complete alteration in the sequence-stability rules of the
duplex.[10] Addition of ethanol to an aqueous
solution induces drastic changes in the duplex structure, forcing
a B → A transition. Some organic solvents, such as methanol,
formamide, pyridine, or dimethyl sulfoxide,[11−13] induce unfolding
and strand separation, or formation of toroid-like conformations,[14−16] while others, such as glycerol[11] or room-temperature
ionic liquids,[17] maintain the duplex structure.
More surprisingly, a DNA duplex does not lose its structure completely,
and the two strands remain bound when DNA is transferred from aqueous
solution to the gas phase.[18−20] It is clear that changes in the
balance between stabilizing and destabilizing terms controlling DNA
structure due to alterations in the solvent are complex and still
not well understood.Experimental studies in apolar solvents
are challenging because
of the difficulty of transferring DNA from water to such media. This
problem has motivated several theoretical studies, most of them using
molecular dynamics (MD) simulations. For example, Cui et al.[21] have examined the structure and stability of
DNA in octane, correlating the observed changes with those required
for helicase activity. Lin et al.[1] explored
the stability of decorated DNAs in interfaces between DNA and chloroform
and have previously considered the reaction of DNA to high concentrations
of pyridine.[22] Finally, Khalid et al.[23] used coarse-grained models to study the insertion
of duplex DNA into a lipid bilayer, finding a significant associated
free energy barrier, even for small duplexes.Here we use large-scale
atomistic MD simulations and discrete path
sampling to investigate the conformations sampled by a short DNA duplex
in carbon tetrachloride (CCl4), a medium comparable to
the interior of a biological membrane. We have also explored the (free)
energy and structural differences associated with the change of phase
of a duplex DNA from water to CCl4. Finally we analyzed
for the first time the possibility that DNA acts as a proton donor/acceptor
when it crosses from a polar to an apolar medium. Our results suggest
that DNA, at least a short fragment, can maintain its duplex structure
for significant periods of time in an apolar solvent and, surprisingly,
appears more rigid in such media than when immersed in aqueous solution.
Transfer from aqueous to apolar solvents is, obviously, strongly disfavored,
especially if the DNA remains fully charged. Typically, the transferred
DNA is not fully dehydrated but maintains (irrespective of its formal
charge) a significant amount of water around it. Calculations suggest
that a neutral DNA state with a compact structure (not too different
from that in aqueous solution) is the most prevalent form of DNA in
apolar solvent.
Methods
We considered a small oligonucleotide
(d(GCGAAGC)) as a model system
for all our calculations. In aqueous solution, this small DNA forms
a stable hairpin with a GAA triloop and a two-d(C·G)-pair stem,
organized in a canonical B-type duplex, as confirmed by NMR.[24] Experiments and theory have shown that this
oligonucleotide folds on a (multi)microsecond time scale[25−27] in water, and should unfold on a similar time scale in a denaturant
solvent such as pyridine.[22] The small size
of the system accelerates calculations, favors sampling, and reduces
memory effects, which might be very important for longer oligonucleotides.
Previous studies have demonstrated the ability of current force field
and MD protocols to simulate this structure properly in a variety
of environments.[27−29]
Equilibrium Molecular Dynamics Simulations
The 7-mer
DNA hairpin was first simulated in aqueous solution as a reference
for the “native trajectory”. The NMR structure[24] was neutralized by adding six Na+ ions (placed at optimal classical molecular interaction potential
(CMIP) positions[30]) and solvated by 7200
water molecules, defining an octahedral box. The system was optimized,
thermalized, and preequilibrated using standard procedures with triplicated
simulation windows,[27,31] and equilibrated for 100 ns prior
to 1 ms of production trajectory at constant temperature and pressure
(T = 300 K; P = 1
atm). Long-range electrostatic corrections were represented by means
of periodic boundary conditions (PBC) and the particle mesh Ewald
(PME) correction with default parameters.[32]Starting from the aqueous solution equilibrium structure,
we performed unbiased MD simulations in CCl4 considering
the canonical DNA protonation state (Q = −6)
as well as a fully neutralized system, in which all of the phosphates
were protonated (Q = 0) following the same procedure
used previously for the study of gas-phase structures.[32] The simulation cell contained one DNA molecule
and around 4288 CCl4 molecules. The optimization, thermalization,
and equilibration procedures were the same as those used in the aqueous
simulations. Trajectories were also collected for 1 ms at constant
temperature and pressure (T = 300 K; P = 1 atm) using PBC–PME to account for long-range effects.
Note that the CCl4-simulation systems do not contain counterions,
which means that Ewald’s plasma is responsible for charge balance
in these simulations. To discard possible Ewald artifacts in this
case, we repeated the calculations for the Q = −6
system using a reaction field correction with a 1.1 nm cutoff to define
the boundary between the atomistic system and the exterior dielectric
continuum.
Replica Exchange Molecular Dynamics Simulations
To
explore the conformational space of the hairpin in CCl4, we performed replica exchange replica exchange molecular dynamics
(RexMD)[33] simulations for the two charge
states (Q = −6 and Q = 0)
starting from (i) a fully extended conformation and (ii) the aqueous-equilibrated
structure. As an additional test, we extended the RExMD simulations
to a minimum-hydration hairpin (∼50 water molecules) obtained
from our simulations of the transfer of the hairpin from water to
CCl4 (see later discussion). A total of 25 temperatures
was selected to span the range of 300–440 K. The distribution
of temperatures was chosen to guarantee an average exchange probability
around 25%. Each of the temperature replicas was explored for 150
ns (for a total simulation time of 2 × 2 ×
35 × 0.150 = 15 ms), with exchanges attempted
every 1,000 MD steps.
Disconnectivity Graphs
Disconnectivity
graphs provide
a simple and powerful way to visualize the DNA potential or free energy
landscape in terms of local minima and transition states connecting
them.[34,35] This approach groups minima that are mutually
accessible at a given energy threshold into disjoint sets, which are
connected by vertical branches. The shorter the branches linking the
minima, the smaller the activation barrier needed to move from one
group to the other. The stationary points (minima and transition states)
required to construct the disconnectivity graph were obtained with
the discrete path sampling (DPS) method,[36,37] implemented in the programs PATHSAMPLE[38] and OPTIM.[39] DPS runs were started from
an initial connected path of minima and intervening transition states
between two specified end points. To identify suitable end points,
we used 400,000 snapshots obtained from MD trajectories at low (298
K) and high (450 K) temperatures for the Q = 0 system
in explicit CCl4 (that for which RexMD simulations were
not conclusive; see later discussion). Local minimization quenched
these snapshots to 687 different local minima. The lowest energy structure
was chosen as one representative of the “native form”,
while an extended structure without any native contacts was designated
as the “unfolded form”.The connections between
stationary points were calculated by approximate steepest-descent
paths obtained by energy minimization following infinitesimal displacements
parallel and antiparallel to the eigenvector corresponding to the
unique negative eigenvalue for each transition state. We define minima
and transition states as stationary points on the potential energy
surface with zero and one negative Hessian eigenvalues, respectively.
Local minimization of minima and transition states was carried out
using a modified limited-memory Broyden–Fletcher–Golgfarb–Shano
(LBFGS) algorithm.[40,41] The doubly nudged[42] elastic band (DNEB) algorithm[43] was used to identify transition-state candidates, which
were accurately refined using a hybrid eigenvector-following approach.[44] Once an initial connected path was found, the
database was enlarged by adding all of the minima and transition states
found during successive connection-making attempts for existing pairs
of minima.[45] The resulting databases contain
a total of around 200,000 minima and transition states. Finally, to
construct disconnectivity graphs on the basis of free energy, we estimated
the relative free energies of minima and transition states from their
potential energy and normal-mode frequencies using the harmonic superposition
approximation for the density of states.[46]The energy and analytical first derivatives of the energy,
required
for geometry optimization, were computed through an interface for
the AMBER9 package[47] available for OPTIM[39] using the parm99+parmbsc0 force field. For disconnectivity
graph calculations we represented the CCl4 solvent with
the Generalized Born model implemented in AMBER[48] and without distance cutoffs for the nonbonded interactions.
Steered Molecular Dynamics and Umbrella Sampling Calculations
To obtain an atomistic representation of the transfer of the hairpin
from aqueous solution to CCl4, we performed a steered MD
simulation,[49] where we moved the hairpin
across the major axis of an orthorhombic box (size 5.85 × 5.85 × 19.4 nm3) containing 9,460 CCl4 molecules (placed in the
center of the long axis) and 34,935 water molecules (placed at both
sides of the CCl4 phase; see Supporting
Information Figure S1). Simulations for the Q = −6 DNA included six Na+ counterions (see previous
discussion for neutralization protocol), while no explicit counterions
were included for the Q = 0 simulations. The steered
MD simulations either move the hairpin from one water box to the other
passing through the CCl4 phase or from the center of the
CCl4 phase to one of the neighboring water boxes. A slow
steering velocity [0.05 nm/ns; with force 1,000 kJ/(mol nm2)] was used to reduce hysteresis effects. The steered MD trajectory
was then used to extract 75 starting configurations (spaced 0.2 nm
along the major axis of the simulation system; see Supporting Information Figure S1) from which umbrella sampling
(US) calculations were performed. Prior to the US calculations all
configurations selected from the steered MD simulations were relaxed
for 20 ns. For the US procedure, we used the position of the DNA hairpin
in the transfer direction (z; see Supporting Information Figure S1) as the reaction coordinate,
and a harmonic umbrella potential (k = 1,000 kJ/(mol nm2)) with 75 overlapping
windows, centered at consecutive values of the reaction coordinate
that span the complete water→CCl4→water transfer
path. We define the central window as that centered at the center
of mass (COM) of the CCl4 box (z = 0
nm) and centered the first and last windows at points located at z = −7.3 and z = +7.3 nm with respect
to this COM. Individual trajectories for each of the 75 US windows
extend for 100 ns (for a total simulation time of 9 μs × system).
The potential of mean force (PMF) was calculated using the cyclic
implementation of the weighted histogram analysis method (WHAM) in
GROMACS 4.5.5.[50,51] WHAM incorporates the integrated
autocorrelation times (IACT) of umbrella windows. Because IACT is
subject to uncertainties due to limited sampling, we have smoothed
the IACT along the reaction coordinate using a Gaussian filter of
width of 0.5 nm.[50] The statistical uncertainty
of the PMFs was estimated using bootstrap analysis.[50]
Poisson–Boltzmann Calculations of
the Phase Transfer
We used the finite difference Poisson–Boltzmann
(PB) equation
with a very fine grid resolution[52] as implemented
in our CMIP code,[30,52] to determine the change in solvation
free energy when the DNA moves from regions of low (CCl4) and high (H2O) dielectrics. Dielectric boundaries were
defined from the placement of the interfaces between phases in the
US calculations. For each of the 75 windows considered in the US calculations
we selected 50 individual DNA conformations (for Q = −6 and Q = 0 states) performing then a
total of 15,300 PB calculations from which an average free energy
of solvation for each point of the transfer process was determined.
To solve the PB equation we used a regular grid (spacing 0.05 nm)
with two solvent regions (CCl4 ε = 2 and H2O ε = 80).
Results and Discussion
DNA Hairpin in Water
The d(GCGAAGC) oligonucleotide
forms a very stable DNA hairpin in aqueous solution, with a well-organized
and stable triloop and a short, but stable, B-GpC DNA stem. The native NMR conformation
is stabilized by eight base-pairing
hydrogen bonds (H-bonds)[24]—six d(G·C) bonds plus two d(G·A) bonds—that we term
“canonical H-bonds”. Despite
backbone
fluctuations, around 98% of these canonical H-bonds
are preserved in the simulation. Our long MD simulations in aqueous
solvent suggest that the DNA native hairpin conformation is stable
at room temperature (Supporting Information Figure S1), in agreement with previous experimental (root mean square
deviation (RMSD) = 0.08 ± 0.01 nm with
respect to the NMR average structure) and MD studies.[25−27]
DNA Hairpin in Dry CCl4
Unbiased microsecond
MD simulations for the DNA hairpin in CCl4 reveal that
for both Q = −6 and Q = 0 charge states the aqueous conformation can survive in CCl4 for a significant amount of time, undergoing only small structural
changes (Supporting Information Figure
S1). In fact, unbiased MD simulations show RMSD fluctuations smaller
for trajectories in CCl4 than for equivalent trajectories
(at the same temperature) in water (see Supporting
Information Figure S2). Clearly, the ability of water to establish
H-bond interactions with the DNA favors flexibility, since in aqueous
solution temporarily lost intra-DNA interactions (due to thermal fluctuations)
are compensated with DNA–water contacts, while this is impossible
in CCl4, or any other apolar environments.[18−20] To verify that the, perhaps surprising, microsecond-scale stability
of the Q = −6 hairpin was not related to a
PME artifact, we repeated the simulation using a reaction field to
correct for distant interactions, instead of the default PBC–PME
procedure. As shown in Supporting Information Figure S3 and Figure S1, reaction field and Ewald simulations give
(as expected[53]) nearly equivalent results,
confirming that aqueous solution structure is indeed a microsecond-stable
structure of the hairpin in CCl4, even when no neutralization
of the phosphates occurs. It is, however, unclear whether or not the
solution structure corresponds to the real free energy minima in CCl4 or it is simply a metastable conformation that becomes trapped
due to the stiffness of the structure. To clarify this point, we performed
large-scale RexMD simulations with a wide range of temperatures and
an aggregated simulation time of more than 15 μs (see Methods and Figure 1a–d).
As previously described, to check for memory artifacts, we started
simulations from both an “extended” and a “native-like”
conformation for the two charged states of the hairpin.
Figure 1
Summary
of RexMD results for the dry hairpin in CCl4 solution (Q = −6 and Q =
0) started from the native conformation (the folded state in water)
and a fully extended structure. The results correspond to the last
50 ns of the replicas at room temperature (extracted from an aggregated
simulation time of 3.75 μs; see Methods).
Irrespective
of the starting conformation, both RexMD simulations of the Q = −6 hairpin lead to quite extended configurations
at the end of the simulations (Figure 1b).Summary
of RexMD results for the dry hairpin in CCl4 solution (Q = −6 and Q =
0) started from the native conformation (the folded state in water)
and a fully extended structure. The results correspond to the last
50 ns of the replicas at room temperature (extracted from an aggregated
simulation time of 3.75 μs; see Methods).The structures sampled have a
significant number of H-bonds, but
few of them are native (Figure 1a,b,d). The
loop and general hairpin structure is also destroyed, and it is difficult
to find any signal of the original hairpin structure in the sampled
structures at room temperature (Figure 1).
From these RexMD and unbiased MD simulations, we conclude that the
native structure is a metastable (on the microsecond time scale) conformation
for a hypothetical fully charged hairpin, but it is not the most favorable
conformation for this oligonucleotide in CCl4.The
results of the RexMD simulations are less clear for the Q = 0 state. By comparing the independent simulations,
we conclude that the conformational space is dominated by compact
structures (see Figure 1), but it is not clear
whether or not these compact structures are close to the native one.
Thus, simulations starting from the native state remain very close
to the aqueous structure, maintaining the pattern of native H-bonds
(Figure 1), while simulations starting from
the extended state collapse to a variety of different compact, but
nonnative, structures. Clearly, replica exchange seems to be nonoptimal
to explore low-lying minima in this complex conformational equilibrium.[54,55] Thus, for the hairpin (Q = 0) we decided to complement
RexMD simulations with DPS calculations to build disconnectivity graphs
(see Methods). The results in Figure 2 show that the lowest free energy structures correspond
to folded hairpins with a high content of native base-pairing (native
in blue and near-native in green in this Figure).
Figure 2
Disconnectivity graph
for the Q = 0 DNA hairpin.
The vertical axis represents the free energy difference with respect
to the global minimum, and the spacing of the branches on the horizontal
axis was chosen to reveal the structure as clearly as possible. The
branches terminate at the energies defined by the individual free
energy minima and are joined together at energy thresholds where the
barriers separating different sets can be overcome. Branches are colored
according to the fraction of native base-pairing H-bond contacts (from
no contacts in red to all native contacts in blue) and highlight the
diversity of conformations adopted at different energies (unfolded,
misfolded, near-native, and native). Selected snapshots colored according
to the same order parameter are also shown. The graph reveals that
the lowest free energy funnel corresponds to folded structures with
a high content of native contacts (blue), and the existence of a funnel
of misfolded structures with no native contacts (red) separated from
the global minimal by a high free energy barrier.
Disconnectivity graph
for the Q = 0 DNA hairpin.
The vertical axis represents the free energy difference with respect
to the global minimum, and the spacing of the branches on the horizontal
axis was chosen to reveal the structure as clearly as possible. The
branches terminate at the energies defined by the individual free
energy minima and are joined together at energy thresholds where the
barriers separating different sets can be overcome. Branches are colored
according to the fraction of native base-pairing H-bond contacts (from
no contacts in red to all native contacts in blue) and highlight the
diversity of conformations adopted at different energies (unfolded,
misfolded, near-native, and native). Selected snapshots colored according
to the same order parameter are also shown. The graph reveals that
the lowest free energy funnel corresponds to folded structures with
a high content of native contacts (blue), and the existence of a funnel
of misfolded structures with no native contacts (red) separated from
the global minimal by a high free energy barrier.The long branches (>30 kJ/mol on the vertical axis) reflect
the
high-energy barriers associated with rearrangements between native
and misfolded or unfolded conformations. Extended (unfolded) states
(no native contacts and radius of gyration greater than 0.8 nm, red)
are sparse (see Supporting Information Figure
S4), and are separated by high-energy barriers from the native state
(see Figure 3 and Supporting
Information Figure S4). In fact, starting from the unfolded
state, we observe that the pathway to the native state involves a
potential energy barrier of around 130 kJ/mol (Figure 3). Overall, the disconnectivity graphs confirm that the conformational
landscape of the hairpin in CCl4 is very frustrated with
several nonnative conformations separated by high-energy barriers.
However, the combination of these results with RexMD suggests that
compact structures, not far from the aqueous native state, are the
dominant ones for the neutral state of the hairpin.
Figure 3
Potential energy difference
with respect to the native state as
a function of the integrated path length for a discrete path connecting
an unfolded structure with the native structure for Q = 0. The integrated path length is the integrated Euclidean distance
in Cartesian coordinates high energy. Snapshots for selected intervening
structures are also shown and colored according to the fraction of
native H-bond base-pairing interactions as described in Figure 2
Potential energy difference
with respect to the native state as
a function of the integrated path length for a discrete path connecting
an unfolded structure with the native structure for Q = 0. The integrated path length is the integrated Euclidean distance
in Cartesian coordinates high energy. Snapshots for selected intervening
structures are also shown and colored according to the fraction of
native H-bond base-pairing interactions as described in Figure 2
Transfer of the DNA Hairpin
between Polar and Apolar Phases
Up to this point we have
explored the structure of DNA in dry CCl4, but DNA is naturally
found in water, and it is therefore
interesting to study the transfer process and how it affects the structure
and energetics of the hairpin. To study the unlikely transfer process
(see Methods), we first performed a very slow
velocity steered MD simulation to obtain starting conformations for
umbrella sampling free energy calculations. We first pulled the hairpin
from one water box to the other, passing through the CCl4 phase (see schematic representation in Supporting
Information Figure S5). As seen in Figure 4, even for very small pulling velocities, the hairpin crosses
the apolar phase hydrated and maintains the general hairpin structure
(see Supporting Information Figures S5
and S6), confirming that the structure of DNA in solution is a metastable
conformation in CCl4.
Figure 4
Representation of different snapshots
obtained in steered MD simulations
forcing the phase transfer of DNA hairpin: (A) from water to CCl4
and back to water for Q = −6 DNA hairpin;
(B) from water to CCl4 and back to water for Q = 0 DNA hairpin; (C) from CCl4 to water for the Q = −6 DNA hairpin; (D) from CCl4 to water for the Q = 0 DNA hairpin.
Representation of different snapshots
obtained in steered MD simulations
forcing the phase transfer of DNA hairpin: (A) from water to CCl4
and back to water for Q = −6 DNA hairpin;
(B) from water to CCl4 and back to water for Q = 0 DNA hairpin; (C) from CCl4 to water for the Q = −6 DNA hairpin; (D) from CCl4 to water for the Q = 0 DNA hairpin.The number of water molecules in the microhydration
drop depends
on the charge state of the hairpin (see Supporting
Information Figure S5), but even for the neutral hairpin there
is a small, but nonnegligible, number of water molecules protecting
the hairpin from the apolar solvent (see Supporting
Information Figure S6). Although displacements of the hairpin
within the box were as slow as possible, they are still much faster
than the relevant experimental time scale, and we cannot rule out
potential problems in the relaxation of the solvent environment around
the DNA. To avoid these potential relaxation artifacts as far as possible
and to confirm that even a neutral hairpin is hydrated in CCl4, we repeated the pulling procedure but started with a dry
hairpin placed in the middle of the CCl4 phase. These complementary
simulations confirm that as soon as the hairpin moves from the center
of the apolar phase, a stream of water molecules flows in (especially
dramatic for the Q = −6 charge state), spontaneously
generating a microhydration environment (Figure 4). This result indicates that the entrance of water molecules in
the apolar phase is not a relaxation artifact but a real physical
effect. Hence we predict that under normal conditions a hairpin (especially
a fully charged one) would cross a hydrophobic phase surrounded by
a small number of water molecules.The discussion in the previous
paragraph suggests that if transferred
directly from water, the DNA in CCl4 will probably be surrounded
by several water molecules. Thus, we repeated the RexMD calculations
but used microhydrated species (Q = 0 and Q = −6) obtained from the pulling experiments when
the center of mass of the hairpin is placed at the middle of the apolar
phase. We found that the impact of the microhydration environment
helps to stabilize the folded state (see Supporting
Information Figures S7 and S8), shielding the electrostatic
repulsion between the charged phosphate groups. As a result, a microhydrated
DNA placed in the middle of a CCl4 phase maintains a conformation
that is not far away for the native structure in water, even when
we consider that phase transfer does not imply change in the ionization
state of the oligonucleotide. In summary, our simulations strongly
suggest that the neutral hairpin maintains well the solution structure
when transferred to either dry or wet CCl4. On the contrary,
the fully charged hairpin, while remaining close to the aqueous structure
in wet CCl4, is completely unfolded in dry CCl4.We used WHAM and umbrella sampling (from steered-MD snapshots;
see Methods) to compute the free energy change
associated with the transfer of the hairpin across polar and apolar
phases. The results displayed in Figure 5 (see Methods and Supporting Information Figure S9 for details) clearly illustrate the large free energy
barrier associated with crossing a hydrophobic phase: around 650 kJ/mol
for a fully charged hairpin and 150–200 kJ/mol for the neutral.
These numbers are in qualitative agreement with those obtained from
a Poisson–Boltzmann calculation (see Figure 6) which demonstrated that transfer of a hairpin from water
to an apolar solvent, even if microhydrated, is largely disfavored.
These results reinforce the notion that decoration of the DNA with
apolar moieties[3−7] is desirable to improve permeation.
Figure 5
Potential of mean force associated with
the transfer of the hairpin
(Q = −6 and Q = 0) across
a polar/apolar/polar simulation box (see Methods and Supporting Information Figure S1).
Figure 6
Change in the electrostatic solvation energy
associated with the
transfer water→CCl4→water of a fully charged
(Q = −6) and neutral (Q =
0) hairpin.
Potential of mean force associated with
the transfer of the hairpin
(Q = −6 and Q = 0) across
a polar/apolar/polar simulation box (see Methods and Supporting Information Figure S1).Change in the electrostatic solvation energy
associated with the
transfer water→CCl4→water of a fully charged
(Q = −6) and neutral (Q =
0) hairpin.Finally, we studied the
relative weight of neutral and charged
states of a hairpin in CCl4. Using standard thermodynamic
cycles (see Supporting Information Figure
S10), we computed the free energy cost of transforming a neutral to
a charged state in CCl4, the cost of removing the hairpin
charge in water, and the cost associated with the phase transfer of
the neutral and charged hairpins. The free energy change associated
with the annihilation of the hairpin charge can be determined at neutral
pH from the experimental pKa in water
of a DNA phosphate (pKa around 2; ΔG around 160 kJ/mol assuming that all phosphate groups protonate
independently of each other). Thus, transfer of a hairpin (Q = −6) in water into a (Q = 0)
hairpin in CCl4 is overall disfavored by around 350 kJ/mol,
while the same transfer assuming Q = −6 in
both solvents has an associated free energy change around 450–500
kJ/mol higher. In other words, our simulations strongly suggest that
DNA in apolar media should have a reduced charge and could even be
completely neutral. Under these conditions DNA seems able to maintain
its native structure in solution.
Conclusion
DNA
is a highly polar molecule, which has evolved over millions
of years to be stable and functional in aqueous solution. DNA will
not spontaneously transfer to an apolar phase, such as a biological
membrane, which represents a clear advantage for confinement in a
given cellular compartment. However, biotechnological and biomedical
applications often require the DNA to cross biological membranes,
be encapsulated in a hydrophobic, environment, or just act as a chemical
reactant in a nonaqueous solvent. It is then necessary to study the
behavior of nucleic acids in apolar solvents as a preliminary step
to design modifications that can favor transfer from water. For this
purpose, theoretical approaches are ideal, since they allow us to
study DNA in such hostile environments. Our large-scale simulation
effort, described in the present report, illustrates the significant
changes occurring in the conformational landscape of a small model
system of DNA when transferred from water to CCl4. The
DNA becomes stiffer and the landscape is more frustrated in the apolar
phases, which might generate kinetic traps. Compact states, probably
not far from the aqueous structure, are sampled if the DNA is neutralized,
while more extended conformations are expected if the DNA maintains
its ionic state in water.The transfer of DNA from aqueous solution
to CCl4 is
energetically disfavored, especially if the DNA maintains its aqueous
ionic state. The transfer always occurs with the DNA inside a microdroplet
of water. The size of the water droplet increases with the net charge
of the DNA, but even for a neutral DNA a significant number of water
molecules appears in our simulations for the apolar phase. A combination
of the umbrella sampling potential of mean force simulations (supported
by Poisson–Boltzmann calculations) with experimental pKa estimates demonstrates that the neutral state
is favored, suggesting that transfer of DNA could generate a net proton
flux across a membrane. Overall, neutralization of DNA charges seems
a key mechanism to improve transfer properties of DNA and either changing
phosphoric by another acid with higher pKas or neutralizing decorations neutralizing DNA charge seems a promising
approach to improve DNA bioavailability.
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Authors: Pablo D Dans; Linda Danilāne; Ivan Ivani; Tomáš Dršata; Filip Lankaš; Adam Hospital; Jürgen Walther; Ricard Illa Pujagut; Federica Battistini; Josep Lluis Gelpí; Richard Lavery; Modesto Orozco Journal: Nucleic Acids Res Date: 2016-04-15 Impact factor: 16.971
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