Molecular dynamics simulations revealed that back-and-forth motion of DNA strands through a 1-nm-diameter pore exhibits sequence-specific hysteresis that arises from the reorientation of the DNA bases in the nanopore constriction. Such hysteresis of the DNA motion results in detectable changes of the electrostatic potential at the electrodes of the nanopore capacitor and in a sequence-specific drift of the DNA strand under an oscillating transmembrane bias. A strategy for sequencing DNA using electric-field pulses is suggested.High-throughput technology for sequencing DNA has already provided invaluable information about the organization of the human genome 1 and the common variations of the genome sequence among groups of individuals. 2 To date, however, the high cost of whole-genome sequencing limits widespread use of this method in basic research and personal medicine. Among the plethora of sequencing methods under development 3,4 that promise dramatic reduction of genome sequencing costs, the so-called nanopore methods 5,6 are among the most revolutionary. The main advantage of the nanopore method is that the sequence of nucleotides can be detected, in principle, directly from the DNA strand via electric recording, 7-18 requiring minimal reagents and having no limits on the length of the DNA fragment that can be read in one measurement.In this manuscript we investigate the feasibility of sequencing DNA using an alternating electric field in a nanopore capacitor. Through molecular dynamics (MD) simulations we demonstrate that back-and-forth motion of DNA in a 1-nm-diameter pore has a sequencespecific hysteresis that results in a detectable change of the electrostatic potential at the electrodes of the nanopore capacitor and in a sequence-specific drift of the DNA strand through the pore under an oscillating bias. Based on these observations, we propose a method for detecting DNA sequences by modulating the pattern of the applied alternating potential. We consider a single nanopore in a multilayered silicon membrane submerged in an electrolyte solution, Fig. 1. The capacitor membrane consists of two conducting layers (doped silicon) separated by a layer of insulator (silicon dioxide). An external electric bias V ex is applied across the membrane to drive a single DNA strand back and forth through the pore, while the electric potentials induced by the DNA motion are independently recorded at the top and bottom layers (electrodes) of the capacitor membrane, V top and V bot , respectively. Nanometer-diameter pores in such membranes have already been manufactured, 19-21 and the voltage signals resulting from the translocation of DNA strands through such pores have been recorded. 22 In particular, and is determined predominately by the electrolytic resistance, which is about 50-100 kΩ for KCl concentration in the 100 mM to 1 M range, and a parasitic capacitance associated with the membrane (<10 pF). The improvement in the bandwidth over patch clamping and prior measurements on hemolysin 7-10 and synthetic p...
The modeling and simulation of macromolecules in solution often benefits from fast analytical approximations for the electrostatic interactions. In our previous work [G. Sigalov et al., J. Chem. Phys. 122, 094511 (2005)], we proposed a method based on an approximate analytical solution of the linearized Poisson-Boltzmann equation for a sphere. In the current work, we extend the method to biomolecules of arbitrary shape and provide computationally efficient algorithms for estimation of the parameters of the model. This approach, which we tentatively call ALPB here, is tested against the standard numerical Poisson-Boltzmann (NPB) treatment on a set of 579 representative proteins, nucleic acids, and small peptides. The tests are performed across a wide range of solvent/solute dielectrics and at biologically relevant salt concentrations. Over the range of the solvent and solute parameters tested, the systematic deviation (from the NPB reference) of solvation energies computed by ALPB is 0.5-3.5 kcal/mol, which is 5-50 times smaller than that of the conventional generalized Born approximation widely used in this context. At the same time, ALPB is equally computationally efficient. The new model is incorporated into the AMBER molecular modeling package and tested on small proteins.
A generalized Born (GB) model is proposed that approximates the electrostatic part of macromolecular solvation free energy over the entire range of the solvent and solute dielectric constants. The model contains no fitting parameters, and is derived by matching a general form of the GB Green function with the exact Green's function of the Poisson equation for a random charge distribution inside a perfect sphere. The sphere is assumed to be filled uniformly with dielectric medium epsilon(in), and is surrounded by infinite solvent of constant dielectric epsilon(out). This model is as computationally efficient as the conventional GB model based on the widely used functional form due to Still et al. [J. Am. Chem. Soc. 112, 6127 (1990)], but captures the essential physics of the dielectric response for all values of epsilon(in) and epsilon(out). This model is tested against the exact solution on a perfect sphere, and against the numerical Poisson-Boltzmann (PB) treatment on a set of macromolecules representing various structural classes. It shows reasonable agreement with both the exact and the numerical solutions of the PB equation (where available) considered as reference, and is more accurate than the conventional GB model over the entire range of dielectric values.
We have discovered a voltage threshold for permeation through a synthetic nanopore of dsDNA bound to a restriction enzyme that depends on the sequence. Molecular Dynamic simulations reveal that the threshold is associated with a nanoNewton force required to rupture the DNA-protein complex. A single mutation in the recognition site for the restriction enzyme, i.e. a single nucleotide polymorphism (SNP), can easily be detected as a change in the threshold voltage. Consequently, by measuring the threshold voltage in a synthetic nanopore, it may be possible to discriminate between two variants of the same gene (alleles) that differ in one base.Restriction enzymes are used prevalently in recombinant DNA technology for cleaving doublehelical DNA segments containing a specific target sequence. Another use is genotyping. Because the binding to the target is extraordinarily sequence specific, restriction enzymes can be used to identify single nucleotide polymorphisms (SNPs) that occur when variants of the same gene (alleles) differ in one base.We have discovered a method for discriminating between alleles that uses a synthetic nanopore to measure the binding of a restriction enzyme to DNA. When a voltage is applied across a membrane containing a nanopore, polyanionic DNA immersed in electrolyte at the cathode diffuses toward the anode and is driven across the membrane by the electric field in the pore. The force due to the field acting on the strand during the translocation impels DNA to bend and stretch within the pore. 1-4 At low fields ℰ < 500mV/10nm, double-stranded DNA (dsDNA) easily permeates pores with diameters ≥2.4nm because the double helix (~2nm diameter) is smaller than the pore. 5 But the permeability of DNA through the pore changes dramatically if it is bound to a restriction enzyme.To study the binding of a restriction enzyme like EcoRI to DNA, we introduced an excess of the enzyme in solution with DNA without the Mg +2 cofactor that is required for cleaving the nucleic acid. Under these conditions, EcoRI is thought to bind and diffuse along DNA. 6,7 The diffusive motion along the strand is arrested at the cognate site, i.e. -GAATTC-for EcoRI. Bulk measurements of the binding at the cognate site indicate a free energy of formation ΔG =−15.2kcal/mol. 6-9 However, the introduction of any mutation among the cognate sites produces a position-dependent reduction in the binding energy that ranges from 6-13kcal/mol. 8,9 Site-specific DNA-binding proteins also have an affinity for nonspecific DNA. In contrast with site-specific binding or binding to a non-cognate site with a single nucleotide mutation, a nonspecifically bound complex is not localized to a particular site. For EcoRI, sites that differ from the cognate sequence by two or more base-pairs(bps) are considered nonspecific since they are not cleaved and show low binding constants. For a nonspecifically bound EcoRI-DNA complex, the free energy of formation is reduced to −4.8kcal/mol. 8,9We measured the permeability of dsDNA in solution with EcoRI ...
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