Abstract
Electric field-driven translocation of DNA strands through biological nanopores has been shown to produce blockades of the nanopore ionic current that depend on the nucleotide composition of the strands. Coupling a biological nanopore MspA to a DNA processing enzyme has made DNA sequencing via measurement of ionic current blockades possible. Nevertheless, the physical mechanism enabling the DNA sequence readout has remained undetermined. Here, we report the results of all-atom molecular dynamics simulations that elucidated the physical mechanism of ionic current blockades in the biological nanopore MspA. We find that the amount of water displaced from the nanopore by the DNA strand determines the nanopore ionic current, whereas the steric and base-stacking properties of the DNA nucleotides determine the amount of water displaced. Unexpectedly, we find the effective force on DNA in MspA to undergo large fluctuations, which may produce insertion errors in the DNA sequence readout.
Graphical abstract
The dramatic reduction of DNA sequencing costs has enabled new scientific discoveries and holds promise for spectacular advances in medical practice.1 The nanopore method of sequencing DNA promises further reductions of the sequencing costs by offering very long sequence reads from unlabeled DNA.2 Coupling an engineered biological nanopore to a DNA processing enzyme has made nanopore sequencing by measuring ionic current feasible,3–9 however, the microscopic mechanism of sequence detection has remained unknown.
In a typical experimental system, a single MspA nanopore10 is embedded in a lipid bilayer membrane and a DNA strand threaded through the nanopore, Figure 1a. A phi29 polymerase is attached to the junction of single- and double-stranded DNA at the rim of the MspA nanopore. An electric field is applied across the membrane via electrodes immersed in the electrolyte solution on both sides of the membrane, generating ionic current through the nanopore. In the process of DNA synthesis, the DNA polymerase pulls the DNA strand through the pore constriction in discrete steps, against the force of the applied electric field.7 The DNA sequence is inferred by measuring the ionic current owing through the nanopore and using a look-up table to associate a particular current level with the sequence of DNA nucleotides in the nanopore.8
Empirical data so far have shown no simple relation between the sequence of DNA (or RNA) nucleotides in the nanopore constriction and the nanopore ionic current.11–14 In the case of MspA, the current is affected by at least three adjacent nucleotides and depends on the global orientation of the DNA strand in the nanopore.12 Defying simple geometric arguments, larger nucleotides adenine (A) and guanine (G) can block the current less than smaller cytosine (C), thymine (T) or uracil (U).15–18 The current blockades are not additive; knowing the blockade current for all DNA homopolymers does not permit prediction of the blockade current for a heterogeneous sequence.8, 12 Here, we use a special-purpose supercomputer system19 to determine the microscopic mechanism by which the sequence of DNA nucleotides affects the ionic current owing through the biological nanopore, MspA.
Results and Discussion
To determine the microscopic origin of the sequence dependence of the ionic current blockades we obtained multiple molecular dynamics (MD) trajectories of the MspA nanopore system. Our exploratory simulations of the full-length MspA-DNA-phi29 system (Supplementary Methods 1, Supplementary Figure 1 and Supplementary Movie 1) showed that the conformation of the DNA strand in the pore constriction is not affected by the motion of the DNA polymerase at the rim of MspA. This observation allowed us to make efficient use of the special purpose supercomputer system19 by constructing a minimal simulation system containing a single copy of a truncated MspA nanopore (residues 75 to 120), a DNA strand, lipids and 1 M KCl solution, Figure 1b. To mimic the action of a DNA polymerase, a terminal nucleotide of the DNA strand was restrained using a harmonic potential, which also directly reported the effective force applied to the DNA strand in the nanopore. We have previously shown that truncation of the MspA pore does not considerably alter the distribution of the electrostatic potential inside MspA,20 Supplementary Figure 2; similar reduced models have been used in MD studies of alpha-hemolysin systems.21, 22 Six homopolymer systems were simulated in continuous 10–30 µs runs under a transmembrane bias of 180 mV. The ionic currents were computed by measuring average displacements of the ions23 in the 8-Å section of the MspA constriction, Figure 1b.
Like in any experimental measurement of the nanopore ionic current, our simulated ionic current recordings are subject to noise. In our computational experiments, possible sources of noise include thermal motion of ions, stochastic variation of the number of ions in the nanopore (counting noise) and conformational fluctuation of the DNA and the channel. Figure 1c plots the noise power spectral density (PSD) of the simulated ionic current for the minimal MspA system with and without DNA. In the absence of DNA (the open pore case), the noise PSD does not considerably depend on the frequency and remains close to the theoretical noise floor 4kBT/R,24–27 where R is the electrical resistance. In the presence of DNA, 1/f noise develops for frequencies less than 108 Hz, which, as we show below, is associated with the conformational fluctuations of the DNA strand. The PSD curve levels off around 105 Hz. Note that typical experimental PSDs feature the 1/f dependence that extends to much lower frequencies,24–27 indicating the effect of noise sources absent in our MD simulations.
Figure 2a–c (center panels) and Supplementary Figure 3 plot the ionic current traces obtained for homopolymers of T, A and C nucleotides for the 5′-trans and 3′-trans orientations of the strand, respectively. The traces show considerable fluctuations of the current at the microsecond timescale, which we attribute to the structural dynamics of DNA in the nanopore, see Supplementary Movies 2–7. The all-point histograms of the simulated ionic current traces, Figure 2a–c (right panels), are asymmetric; their shapes (but not the average current values) depend on the current block-averaging interval, becoming more compact as thermal fluctuations are averaged out, Supplementary Figure 4 and Supplementary Note 1.
Despite considerable fluctuations, the average values of the blockade currents could be determined for five out of six homopolymers; the 3′-trans poly(dA) trace did not converge within the simulation time scale. In qualitative agreement with experiment,12 the blockade current for 5′-poly(dA), 31.6±3.0%, is greater than that for 5′-poly(dT), 20.1±2.3%, whereas the blockade current for 3′-poly(dT), 21.5 ± 0.9%, is greater than that for 3′-poly(dC), 16.7 ± 0.9%. The error was estimated by splitting the simulation trajectories into 5-µs intervals, Supplementary Figure 5. Similar blockade currents were measured in the ensemble simulations of DNA homopolymers, Supplementary Table 1, where sixteen replicas of each DNA homopolymer systems were simulated for 400–900 ns each starting from a unique microscopic conformation20 (Supplementary Methods 2, Supplementary Figure 6). As our simulations employed a reduced-length model of the MspA nanopore, the simulated blockade currents are higher than the experimental ones (Supplementary Note 2).
The number of water molecules in the MspA constriction was found to strongly correlate with the ionic current owing through MspA. For the analysis of our MD trajectories, we selected an 8-Å section of the MspA nanopore centered on the pore constriction (residues 90 and 91), Figure 1b. For our subsequent analysis we refer to water molecules residing within the first solvation shell of MspA or DNA, i.e., waters molecules located within 2.5 Å of protein or DNA atoms, Supplementary Figure 7, as structured water28 and all other water molecules as bulk-like water. The black traces in Figure 2a–c (center panels) show the number of bulk-like water molecules in the pore constriction. In all systems studied, we found a strong correlation between the number of bulk-like water molecules (Nbw) and the blockade current I/I0. Including water molecules that were in direct contact with the protein or DNA (structured water) reduced but did not eliminate the correlation, Supplementary Table 2. The correlation decreased with the block averaging interval, Supplementary Figure 4, and was very weak in the absence of DNA, Supplementary Figure 8.
Approximating the volume of the MspA constrictions as a cylinder of uniform conductivity, one could expect the ionic current to linearly depend on the number of water molecules, Supplementary Note 3. In contrast, the complex shape of the volume occupied by the bulk-like water molecules in the constriction of MspA, Figure 3a, makes the dependence of the nanopore ionic current I on the number of bulk-like water molecules Nbw superlinear: , Figure 3b. At low water count (Nbw = 10 or 17 in Figure 3a), the bulk-like water does not form a stable continuous passage through the constriction. At higher water counts (Nbw = 21 or 25 in Figure 3a), a continuous passage exists, but its diameter is considerably smaller than that of a cylinder containing the same number of water molecules. It appears that the amount of water that can be displaced along the ion path through the nanopore determines the ion conductance. Supplementary Movie 8 illustrates typical behavior of bulk and structured water molecules during an ion permeation event.
The presence of DNA nucleotides affects the nanopore ionic current by altering the number of bulk-like water molecules in the MspA constriction. The amount of water displaced by DNA from the constriction depends linearly on the number of DNA atoms, Figure 3c, indicating the absence of pockets of vacuum that can form in narrow hydrophobic cavities.29 Among all atoms that constitute a DNA strand, the atoms that comprise the nucleobases cause the difference in ionic current blockades produced by the DNA homopolymers. In-deed, the dependence of the ionic current on the number of non-hydrogen atoms of the entire DNA stand, Figure 3d, closely follows the dependence of the current on the number of non-hydrogen atoms comprising only the nucleobases, Figure 3e. The PSDs of the number of bulk-like water molecules and non-hydrogen atoms of DNA nucleotides, Supplementary Figure 9, exhibit the 1/f dependence on the sampling frequency similar to that of the ionic current, Figure 1c, indicating that the 1/f noise in the simulated ionic current is produced by the changes in the DNA conformation.
The sequence specificity of the ionic current blockades originates from the statistical differences in the ensemble of conformations that DNA strands adopt in the constriction of MspA. The probability of observing a given number of DNA atoms and a given number of bulk-like water molecules in the MspA constriction differ considerably between the 5′-poly(dA) and 5′-poly(dT) systems, the former has a higher probability in the low DNA atom / high bulk-like water count range, Figure 4a,b. Supplementary Figure 10 shows equivalent data for the 3′-poly(dT) and 3′-poly(dC) systems. Because the dependence of the ionic current on the number of bulk-like water molecules is superlinear (Figure 3b), considerably higher currents are observed in the 5′-poly(dA) system, which is characterized by more frequent high-water-count microscopic states. The high number of DNA atoms (low current) is observed when nucleotides stack and jam the constriction whereas the low number of DNA atoms (high current) is associated with a broken base-stacking pattern, Figure 4c. The number of base-stacked nucleotides in the MspA constriction is anti-correlated with the number of bulk-like water molecules, Figure 4d. The probability of observing base-stacking in the 5′-poly(dT) system is higher than in 5′-poly(dA), Figure 4e, opposite to the behavior observed in bulk solution.30 Thus, steric constraints of the MspA nanopore alter the propensity of DNA nucleotides to form a base-stacking pattern, modulating the number of bulk-like water molecules in the MspA constriction and thereby the nanopore ionic current.
Despite being subject to a restraining harmonic potential mimicking the action of a DNA polymerase, the DNA strands were found to undergo large-amplitude collective motion in the MspA constriction, Figure 5a,b. Although the nucleotides maintained, on average, a constant distance from the nanopore constriction throughout the simulations, they could transiently move through the constriction by as many as two nucleotides in either direction, Figure 5c. The relatively stiff restraints applied to the anchor atoms in our simulations may have reduced the amplitude of the collective motion in comparison to a full-length MspA system. In the case of a heterogeneous sequence DNA strand, such longitudinal displacements move DNA nucleotides in and out of the sensing volume of the nanopore, producing “sequence flickering” noise that complicates determination of the DNA sequence. Indeed, a single nucleotide substitution was experimentally found to affect the average blockade current of at least three neighboring nucleotides.8, 9 Limited by the timescale of our simulations, such large displacements precluded determination of the average ionic current for systems containing DNA strands of mixed nucleotide sequence. However, even for a mixed-sequence DNA strand, the number of bulk-like water molecules in the MspA constriction was found to exhibit strong correlation with the blockade current, Supplementary Figure 11.
The large-amplitude displacements of the nucleotides in the MspA constriction anti-correlate with the fluctuations of the effective force applied by the DNA on the restraining anchor that mimics the presence of a DNA polymerase, Figure 5d and Supplementary Figure 12. In some simulations, the effective force transiently increased from a baseline value of approximately 30 pN (Supplementary Note 4, Supplementary Figures 13 and 14) by two- or even three-fold for a period of several microseconds, facilitated by simultaneous binding of a DNA phosphate group to three amine groups of Asp90 and Asp91 residues, Supplementary Figure 14. As the probability of a DNA polymerase backstepping exponentially increases with the effective force, even short lived but high magnitude fluctuations in the effective force can considerably increase the backstepping probability.
Conclusions
The results of our MD simulations indicate that the sequence of DNA nucleotides modulates the ionic current blockade in MspA via a steric exclusion effect. Previously, the steric exclusion effect was invoked to explain the magnitude of the ionic current blockades in solid-state 31 and biological32 nanopores. In the case of ionic current blockades produced by DNA strands in MspA, their sequence dependence could not be, at first look, rationalized by the steric exclusion effects as, for example, larger nucleotides were found to block the current less than the smaller nucleotides. Furthermore, the dense packing of DNA nucleotides in the pore constriction can, potentially, modulate the ionic current via several different mechanisms, for example, by imposing electrostatic barriers to ion permeation or creating pockets of vacuum (common to small hydrophobic nanopores) that block the passage of ions.
The key difference between the naïve volume exclusion argument and the mechanism elucidated by this study is in explicit consideration of the packing geometry of the DNA nucleotides within the pore constriction afforded by the all-atom MD approach. The diameter of the MspA pore is just right to alter the conformations of DNA nucleotides in a non-trivial manner, reflecting the competition of steric and base-stacking interactions. The volume accessible to ion transport, Figure 3a, changes non-linearly with the number of DNA atoms, Figure 3b, amplifying the excluded volume effect. Analysis of our explicit solvent all-atom trajectories provides no evidence to support either the electrostatic barrier or the vacuum pockets mechanisms.
Our simulations have also found the DNA strands to undergo large-amplitude displacements through the pore constriction despite being anchored to the enzyme. Such large-amplitude displacements broaden the effective sensing volume of the MspA pore to at least four nucleotides and produce large fluctuations of tension in the DNA strand. Modifications to the MspA structure that reduce the amplitude of the DNA displacements will lower the fluctuations of tension in the DNA strand and, possibly, the rate of insertion errors in nanopore sequence recordings.7, 8 The same modifications would sharpen the effective sensing volume of the MspA pore, improving the resolution of the DNA sequence readout.
Methods
Initial atomic coordinates of the MspA porin were obtained from the Protein Data Bank (entry 1UUN).10 Eight R96 residues were reverted to alanines in accordance with the sequence of wild type MspA. Twenty-four aspartate residues were replaced by asparagines to create the D90N/D91N/D93N mutant used in experiment.33 A reduced model of the MspA nanopore was constructed by eliminating the vestibule part of the channel. The truncated nanopore, containing residues 75 to 120, was merged with an 8 nm × 8 nm patch of 2-oleoyl-1-pamlitoyl-sn-glyecro-3-phosphocholine bilayer. All lipid molecules overlapping with the nanopore were removed. The remaining bilayer contained 60 lipid molecules. Using the phantom-pore method34 a DNA strand was placed inside the MspA with its backbone approximately aligned with the nanopore axis. Two systems were constructed having either the 5′ or 3′ end of the DNA strand at the trans end of the pore. The systems were immersed in a volume of water molecules. DNA fragments extending outside the solvation box were removed producing a continuous 11- or 12-nucleotide strand for the 5′-trans and 3′-trans systems, respectively. The nucleotide sequence of the strands was adjusted to produce three systems containing thymine, adenine and cytosine homopolymers for each orientation of the DNA strand and one mixed sequence 5′-TTTAAATTTTT-3′ system. K+ and Cl− ions were added at random positions corresponding to a concentration of 1 M. Additional charges neutralized the system. The final system consisted of about 25,000 atoms.
Following 2,000 steps of energy minimization, each system was equilibrated for 3 ns in the constant number of particles, pressure and temperature ensemble maintained by the Nosé-Hoover Langevin piston pressure control35 in NAMD2.36 All production simulations of the minimal MspA systems were performed using the D.E. Shaw Research supercomputer Anton,19 the Nosé-Hoover NVT integrator37 and a k-Gaussian Split Ewald method.38 All simulations employed periodic boundary conditions and the CHARMM36 parameter set.39 All bonds involving hydrogen atoms were constrained using an implementation of M-SHAKE.40 A multistage r-RESPA scheme41 was used for integration of the equations of motion using a 2-fs timestep for bonded and short-ranged non-bonded interactions and 6-fs time step for long-range non-bonded interactions. The temperature was set at 295 K.
All production simulations were carried out in the constant number of particles, volume and temperature ensemble under a constant external electric field applied normal to the membrane, producing a 180 mV transmembrane bias.23 The ionic currents were calculated as described previously.23 In all systems, the C1′ atom of the terminal nucleotide at the cis side of the membrane was restrained using harmonic potentials with the spring constants of 174 and 695 pN/nm within and normal to the plane of the membrane, respectively. To maintain the structural integrity of the nanopore, all Cα atoms of the protein were restrained to their crystallographic coordinates using harmonic potentials with spring constants of 695 pN/nm.
Supplementary Material
Acknowledgments
This work was supported in part through grants from the National Institutes of Health (R01-HG005115 and R01-HG007406) and the National Science Foundation (DMR-0955959 and PHY-1430124). Computer time was provided via Teragrid/XSEDE allocation MCA05S028, the Department of Energy INCITE program and the National Resource for Biomedical Supercomputing at the DESRES supercomputer Anton at the Pittsburgh Supercomputing Center (PSCA00052).
Footnotes
Supporting Information Available
Simulation and analysis of the full-length MspA system, ionic current blockades in the 3′-trans MspA systems, discussions on the effect of block averaging interval and convergence, data from ensemble simulations, a note on the relationship between simulated and experimental ionic currents, analysis on water distribution, additional correlation analysis, a note on the cylindrical model system, additional analysis on the 1/f noise, microscopic mechanisms of the ionic current blockades, discussions on the correlation between displacement of ssDNA and the force on the anchor, analysis on electro-osmotic effect and transient binding of DNA to the channel, and movies illustrating the key MD trajectories. This material is available free of charge via the Internet at http://pubs.acs.org/.
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