Unzipping kinetics of double-stranded DNA in a nanopore

Langevin Dynamics Study on the Driven Translocation of Polymer Chains with a Hairpin Structure

The hairpin structure is a common and fundamental secondary structure in macromolecules. In this work, the process of the translocation of a model polymer chain with a hairpin structure is studied using Langevin dynamics simulations. The simulation results show that the dynamics of hairpin polymer translocation through a nanopore are influenced by the hairpin structure. Hairpin polymers can be classified into three categories, namely, linear-like, unsteady hairpin, and steady hairpin, according to the interaction with the stem structure. The translocation behavior of linear-like polymers is similar to that of a linear polymer chain. The time taken for the translocation of unsteady hairpin polymers is longer than that for a linear chain because it takes a long time to unfold the hairpin structure, and this time increases with stem interaction and decreases with the driving force. The translocation of steady hairpin polymers is distinct, especially under a weak driving force; the difficulty of unfolding the hairpin structure leads to a low translocation probability and a short translocation time. The translocation behavior of hairpin polymers can be explained by the theory of the free-energy landscape.

Work distribution for unzipping processes

A simple zipper model is introduced, representing in a simplified way, e.g., the folded DNA double helix or hairpin structures in RNA. The double stranded hairpin is connected to a heat bath at temperature T and subject to an external force f, which couples to the free length L of the unzipped sequence. The leftmost zipped position can be seen as the position of a random walker in a special external field. Increasing the force leads to a zipping-unzipping first-order phase transition at a critical force f_{c}(T) in the thermodynamic limit of a very large chain. We compute analytically, as a function of temperature T and force f, the full distribution P(L) of free lengths in the thermodynamic limit and show that it is qualitatively very different for ff_{c}. Next we consider quasistatic work processes where the force is incremented according to a linear protocol. Having obtained P(L) already allows us to derive an analytical expression for the work distribution P(W) in the zipped phase f Collapse

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Affiliation(s)

Peter Werner Institut für Physik, Universität Oldenburg, 26111 Oldenburg, Germany
Alexander K Hartmann Institut für Physik, Universität Oldenburg, 26111 Oldenburg, Germany
Satya N Majumdar Laboratoire de Physique Théorique et Modèles Statistique, Université Paris-Saclay, 91405 Orsay CEDEX, France

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Nanopore-Based Single-Molecule Investigation of Cation Effect on the i-Motif Structure

The i-motif, a secondary structure of a four-helix formed by cytosine-rich DNA (i-DNA) through C-C+ base pairing, is prevalent in human telomeres and promoters. This structure creates steric hindrance, thereby inhibiting both gene expression and protein coding. The conformation of i-DNA is intricately linked to the intracellular ionic environment. Hence, investigating its conformation under various ion conditions holds significant importance. In this study, we explored the impact of cations on the i-motif structure at the single-molecule level using the α-hemolysin (α-HL) nanochannel. Our findings reveal that the ability of i-DNA to fold into the i-motif structure follows the order Cs+ > Na+ > K+ > Li+ for monovalent cations. Furthermore, we observed the interconversion of single-stranded DNA (ss-DNA) and the i-motif structure at high and low concentrations of Mg2+ and Ba2+ electrolyte solutions. This study not only has the potential to extend the application of i-motif-based sensors in complex solution environments but also provides a new idea for the detection of metal ions.

Free-energy measuring nanopore device

Free energies (FEs) in molecular sciences can be used to quantify the stability of folded molecules. In this article, we introduce nanopores for measuring FEs. We pull DNA hairpin-forming molecules through a nanopore, measure work, and estimate the FE change in the slow limit, and with the Jarzynski fluctuation theorem (FT) at fast pulling times. We also pull our molecule with optical tweezers, compare it to nanopores, and explore how sampling single molecules from equilibrium or a folded ensemble affects the FE estimate via the FT. The nanopore experiment helps us address and overcome the conceptual problem of equilibrium sampling in single-molecule pulling experiments. Only when molecules are sampled from an equilibrium ensemble do nanopore and tweezer FE estimates mutually agree. We demonstrate that nanopores are very useful tools for comparing FEs of two molecules at finite times and we propose future applications.

Nonequilibrium Thermodynamics of DNA Nanopore Unzipping

Using theory and simulations, we carried out a first systematic characterization of DNA unzipping via nanopore translocation. Starting from partially unzipped states, we found three dynamical regimes depending on the applied force f: (i) heterogeneous DNA retraction and rezipping (f<17  pN), (ii) normal (17  pN<f<60  pN), and (iii) anomalous (f>60  pN) drift-diffusive behavior. We show that the normal drift-diffusion regime can be effectively modeled as a one-dimensional stochastic process in a tilted periodic potential. We use the theory of stochastic processes to recover the potential from nonequilibrium unzipping trajectories and show that it corresponds to the free-energy landscape for single-base-pair unzipping. Applying this general approach to other single-molecule systems with periodic potentials ought to yield detailed free-energy landscapes from out-of-equilibrium trajectories.

Simultaneous Dual-Site Identification of 5mC/8oG in DNA Triplex Using a Nanopore Sensor

DNA triplex participates in delivering site-specific epigenetic modifications critical for the regulation of gene expression. Among these marks, 5mC with 8oG functions comprehensively on gene expression. Recently, few research studies have emphasized the necessity of incorporation detection of 5mC with 8oG using one DNA triplex at the same time. Herein, DNA triplex structure was designed and tailored for the site-specific identification of 5mC with 8oG by means of nanopore electroanalysis. The identification was associated with the distinguishable current modulation types caused by DNA unzipping through the nanopore in an electrical field. Results demonstrated that the epigenetic modification proximity to the latch zone or constriction area of the nanopore enables differentiation of modification series at single nucleotide resolution in one DNA triplex, at both physiological and mildly acidic environment. In addition, our nanopore method enables the kinetic and thermodynamic studies to calculate the free energy of modified DNA triplex with applied potentials. Gibbs' energy provided the direct evidence that the DNA triplex with these epigenetic modifications is more stable in acidic environment. Considering modified DNA functions significantly in gene expression, the presented method may provide future opportunities to understand incorporating epigenetic mechanisms of many dysregulated biological processes on the basis of accurate detection.

Nanopore Analysis as a Tool for Studying Rapid Holliday Junction Dynamics and Analyte Binding

Holliday junctions (HJs) are an important class of nucleic acid structure utilized in DNA break repair processes. As such, these structures have great importance as therapeutic targets and for understanding the onset and development of various diseases. Single-molecule fluorescence resonance energy transfer (smFRET) has been used to study HJ structure-fluctuation kinetics, but given the rapid time scales associated with these kinetics (approximately sub-milliseconds) and the limited bandwidth of smFRET, these studies typically require one to slow down the structure fluctuations using divalent ions (e.g., Mg²⁺). This modification limits the ability to understand and model the underlying kinetics associated with HJ fluctuations. We address this here by utilizing nanopore sensing in a gating configuration to monitor DNA structure fluctuations without divalent ions. A nanopore analysis shows that HJ fluctuations occur on the order of 0.1-10 ms and that the HJ remains locked in a single conformation with short-lived transitions to a second conformation. It is not clear what role the nanopore plays in affecting these kinetics, but the time scales observed indicate that HJs are capable of undergoing rapid transitions that are not detectable with lower bandwidth measurement techniques. In addition to monitoring rapid HJ fluctuations, we also report on the use of nanopore sensing to develop a highly selective sensor capable of clear and rapid detection of short oligo DNA strands that bind to various HJ targets.

Topological and physical links in soft matter systems

Linking, or multicomponent topological entanglement, is ubiquitous in soft matter systems, from mixtures of polymers and DNA filaments packedin vivoto interlocked line defects in liquid crystals and intertwined synthetic molecules. Yet, it is only relatively recently that theoretical and experimental advancements have made it possible to probe such entanglements and elucidate their impact on the physical properties of the systems. Here, we review the state-of-the-art of this rapidly expanding subject and organize it as follows. First, we present the main concepts and notions, from topological linking to physical linking and then consider the salient manifestations of molecular linking, from synthetic to biological ones. We next cover the main physical models addressing mutual entanglements in mixtures of polymers, both linear and circular. Finally, we consider liquid crystals, fluids and other non-filamentous systems where topological or physical entanglements are observed in defect or flux lines. We conclude with a perspective on open challenges.

The structure and unzipping behavior of dumbbell and hairpin DNA revealed by real-time nanopore sensing

Hairpin structures play an essential role in DNA replication, transcription, and recombination. Single-molecule studies enable the real-time measurement and observation of the energetics and dynamics of hairpin structures, including folding and DNA-protein interactions. Nanopore sensing is emerging as a powerful tool for DNA sensing and sequencing, and previous research into hairpins using an α-hemolysin (α-HL) nanopore suggested that hairpin DNA enters from its stem side. In this work, the translocation and interaction of hairpin and dumbbell DNA samples with varying stems, loops, and toeholds were investigated systematically using a Mycobacterium smegmatis porin A (MspA) nanopore. It was found that these DNA constructs could translocate through the pore under a bias voltage above +80 mV, and blockage events with two conductance states could be observed. The events of the lower blockage were correlated with the loop size of the hairpin or dumbbell DNA (7 nt to 25 nt), which could be attributed to non-specific collisions with the pore, whereas the dwell time of events with the higher blockage were correlated with the stem length, thus indicating effective translocation. Furthermore, dumbbell DNA with and without a stem opening generated different dwell times when driven through the MspA nanopore. Finally, a new strategy based on the dwell time difference was developed to detect single nucleotide polymorphisms (SNPs). These results demonstrated that the unzipping behaviors and DNA-protein interactions of hairpin and dumbbell DNA could be revealed using nanopore technology, and this could be further developed to create sensors for the secondary structures of nucleic acids.

Single-molecule, hybridization-based strategies for short nucleic acids detection and recognition with nanopores

DNA nanotechnology has seen large developments over the last 30 years through the combination of detection and discovery of DNAs, and solid phase synthesis to increase the chemical functionalities on nucleic acids, leading to the emergence of novel and sophisticated in features, nucleic acids-based biopolymers. Arguably, nanopores developed for fast and direct detection of a large variety of molecules, are part of a revolutionary technological evolution which led to cheaper, smaller and considerably easier to use devices enabling DNA detection and sequencing at the single-molecule level. Through their versatility, the nanopore-based tools proved useful biomedicine, nanoscale chemistry, biology and physics, as well as other disciplines spanning materials science to ecology and anthropology. This mini-review discusses the progress of nanopore- and hybridization-based DNA detection, and explores a range of state-of-the-art applications afforded through the combination of certain synthetically-derived polymers mimicking nucleic acids and nanopores, for the single-molecule biophysics on short DNA structures.

Nanopore decoding for a Hamiltonian path problem

DNA computing has attracted attention as a tool for solving mathematical problems due to the potential for massive parallelism with low energy consumption. However, decoding the output information to a human-recognizable signal is generally time-consuming owing to the requirement for multiple steps of biological operations. Here, we describe simple and rapid decoding of the DNA-computed output for a directed Hamiltonian path problem (HPP) using nanopore technology. In this approach, the output DNA duplex undergoes unzipping whilst passing through an α-hemolysin nanopore, with information electrically decoded as the unzipping time of the hybridized strands. As a proof of concept, we demonstrate nanopore decoding of the HPP of a small graph encoded in DNA. Our results show the feasibility of nanopore measurement as a rapid and label-free decoding method for mathematical DNA computation using parallel self-assembly.

Pulling a DNA molecule through a nanopore embedded in an anionic membrane: tension propagation coupled to electrostatics

We consider the influence of electrostatic forces on driven translocation dynamics of a flexible polyelectrolyte being pulled through a nanopore by an external force on the head monomer. To this end, we augment the iso-flux tension propagation theory with electrostatics for a negatively charged biopolymer pulled through a nanopore embedded in a similarly charged anionic membrane. We show that in the realistic case of a single-stranded DNA molecule, dilute salt conditions characterized by weak charge screening, and a negatively charged membrane, the translocation dynamics is unexpectedly accelerated despite the presence of large repulsive electrostatic interactions between the polymer coil on thecisside and the charged membrane. This is due to the rapid release of the electrostatic potential energy of the coil during translocation, leading to an effectively attractive force that assists end-driven translocation. The speedup results in non-monotonic polymer length and membrane charge dependence of the exponentαcharacterizing the translocation timeτ∝N0αof the polymer with lengthN0. In the regime of long polymersN0 ≳   500, the translocation exponent exceeds its upper limitα= 2 previously observed for the same system without electrostatic interactions.

Unzipping Mechanism of Free and Polyarginine-Conjugated DNA-PNA Duplexes, Preconfined Inside the α-Hemolysin Nanopore

In this work, comparative studies on DNA-PNA and polyarginine-conjugated DNA-PNA duplexes unzipping inside the α-hemolysin nanopore (α-HL) are presented. We identified significant differences in the blockade currents, as the applied voltage across the nanopore facilitated the duplex capture inside the nanopore's vestibule against the constriction region, subsequent cDNA strand insertion inside the nanopore's β-barrel past the constriction site, its complete unzip from the duplex, and translocation. We observed that inside the voltage-biased nanopore, polyarginine-conjugated DNA-PNA duplexes dehybridize faster than their DNA-PNA counterparts and proposed a model to describe the duplex unzipping. This study identifies key particularities of DNA-PNA duplex unzipping as it takes place inside the nanopore and being preceded by entrapment in the vestibule domain of the α-HL. Our results are a crucial step toward understanding the nucleic acids duplexes unzipping kinetics variability, in confined, variable geometries.

Biphasic signals during nanopore translocation of DNA and nanoparticles due to strong ion cloud deformation

We report a theory for biphasic ionic current signals during DNA and nanoparticle translocation through a solid-state nanopore that produces scaling results consistent with those of finite element simulations (FEM), molecular dynamics (MD) simulations and experiments. For standard nanopores designed for potential rapid sequencing applications, the electric field is enhanced by orders of magnitude due to field focusing and can severely deform the ion-cloud around the charged DNA. Highly fore-aft asymmetric space charge distribution leads to a universal quasi-steady comet-like structure with a long tail. In contrast to previous biphasic theories, the charge density and length of the tail, which are responsible for the negative resistive pulse, are shown to depend sensitively on the dimensionless applied field, the Peclet number Pe, with a ∓1 scaling, due to a balance between tangential migration and normal diffusion. An optimum Pe is predicted where the negative pulse has the maximum amplitude.

Nanopore-Assisted, Sequence-Specific Detection, and Single-Molecule Hybridization Analysis of Short, Single-Stranded DNAs

We report here on the ability of the α-hemolysin (α-HL) nanopore to achieve label-free, selective, and real-time detection of 15 nt long ssDNA fragments in solution, by exploiting their hybridization with freely added, polycationic peptides-functionalized PNAs. At the core of our work lies the paradigm that when PNAs and ssDNA are mixed together, the bulk concentration of free PNA decreases, depending upon the (mis)match degree between complementary strands and their relative concentrations. We demonstrate that the ssDNA sensing principle and throughput of the method are determined by the rate at which nonhybridized, polycationic peptides-functionalized PNA molecules arrive at the α-HL's vestibule entrance and thread into the nanopore. We found that with the application of a 30-fold salt gradient across the nanopore, the method enhances single-molecule detection sensitivity in the nanomolar range of ssDNA concentrations. This study demonstrates that the transmembrane potential-dependent unzip of single PNA-DNA duplexes at the α-HL's β-barrel entry permits discrimination between sequences that differ by one base pair.

Sequence-Dependent Unzipping Dynamics of DNA Hairpins in a Nanopore

By applying an electric field to an insulating membrane, movement of charged particles through a nanopore can be induced. The measured ionic current reports on biomolecules passing through the nanopore. In this paper, we explore the sequence-dependent dynamics of DNA unzipping using our recently developed coarse-grained model. We estimated three molecular profiles (the potential of mean force, position-dependent diffusion coefficient, and position-dependent effective charge) for the DNA unzipping of four hairpins with different sequences. We found that the molecular profiles are correlated with the ionic current and molecular events. We also explored the unzipping kinetics using Brownian dynamics. We found that the effect of hairpin structure on the unzipping/translocation times is not only energetic (weaker hairpins unzip more quickly) but also kinetic (different unzipping and translocation pathways play an important role).

Simulation study on the translocation of polyelectrolyte through conical nanopores

Experiments have suggested that the conical nanopore may be a reasonable sensor for the biopolymer analysis as it can provide high-resolution current signal. In this paper, we use Langevin dynamics simulation to study the translocation of charged polymer (polyelectrolyte) through three different conical nanopores, a single-conical nanopore with large entry and small exit (pore I), a single-conical nanopore with small entry and large exit (pore II), and a double-conical nanopore with the tip (narrowest place) at the middle (pore III). Simulation shows that the detailed translocation behaviors are of pore structure dependence. Pore I might be the most reasonable one for the polyelectrolyte analysis, especially at strong monomer-pore attraction, since it can efficiently reduce the polyelectrolyte speed at the tip. The simulation results are interpreted by the free energy profiles of the polyelectrolyte translocation through different pores and the time of individual monomer passing through the tips.

Energetics of base flipping at a DNA mismatch site confined at the latch constriction of α-hemolysin

Unique, two-state modulating current signatures are observed when a cytosine-cytosine mismatch pair is confined at the 2.4 nm latch constriction of the α-hemolysin (αHL) nanopore. We have previously speculated that the modulation is due to base flipping at the mismatch site. Base flipping is a biologically significant mechanism in which a single base is rotated out of the DNA helical stack by 180°. It is the mechanism by which enzymes are able to access bases for repair operations without disturbing the global structure of the helix. Here, temperature dependent ion channel recordings of individual double-stranded DNA duplexes inside αHL are used to derive thermodynamic (ΔH, ΔS) and kinetic (E_A) parameters for base flipping of a cytosine at an unstable cytosine-cytosine mismatch site. The measured activation energy for flipping a cytosine located at the latch of αHL out of the helix (18 ± 1 kcal mol^-1) is comparable to that previously reported for base flipping at mismatch sites from NMR measurements and potential mean force calculations. We propose that the αHL nanopore is a useful tool for measuring conformational changes in dsDNA at the single molecule level.

Amplification-free, sequence-specific 16S rRNA detection at 1 aM

A nucleic acid amplification-free, optics-free platform has been demonstrated for sequence-specific detection of Escherichia coli (E. coli) 16S rRNA at 1 aM (10-18 M) against a 106-fold (1 pM) background of Pseudomonas putida (P. putida) RNA. This work was driven by the need for simple, rapid, and low cost means for species-specific bacterial detection at low concentration. Our simple, conductometric sensing device functioned by detecting blockage of a nanopore fabricated in a sub-micron-thick glass membrane. Upon sequence-specific binding of target 16S rRNA, otherwise charge-neutral, PNA oligonucleotide probe-polystyrene bead conjugates become electrophoretically mobile and are driven to the glass nanopore of lesser diameter, which is blocked, thereby generating a large, sustained and readily observable step decrease in ionic current. No false positive signals were observed with P. putida RNA when this device was configured to detect E. coli 16S rRNA. Also, when a universal PNA probe complementary to the 16S rRNA of both E. coli and P. putida was conjugated to beads, a positive response to rRNA of both bacterial species was observed. Finally, the device readily detected E. coli at 10 CFU mL-1 in a 1 mL sample, also against a million-fold background of viable P. putida. These results suggest that this new device may serve as the basis for small, portable, low power, and low-cost systems for rapid detection of specific bacterial species in clinical samples, food, and water.

Theory of pore-driven and end-pulled polymer translocation dynamics through a nanopore: an overview

We review recent progress on the theory of dynamics of polymer translocation through a nanopore based on the iso-flux tension propagation (IFTP) theory. We investigate both pore-driven translocation of flexible and a semi-flexible polymers, and the end-pulled case of flexible chains by means of the IFTP theory and extensive molecular dynamics (MD) simulations. The validity of the IFTP theory can be quantified by the waiting time distributions of the monomers which reveal the details of the dynamics of the translocation process. The IFTP theory allows a parameter-free description of the translocation process and can be used to derive exact analytic scaling forms in the appropriate limits, including the influence due to the pore friction that appears as a finite-size correction to asymptotic scaling. We show that in the case of pore-driven semi-flexible and end-pulled polymer chains the IFTP theory must be augmented with an explicit trans side friction term for a quantitative description of the translocation process.

Single-Molecule, Real-Time Dissecting of Peptide Nucleic Acid-DNA Duplexes with a Protein Nanopore Tweezer

Peptide nucleic acids (PNAs) are artificial, oligonucleotides analogues, where the sugar-phosphate backbone has been substituted with a peptide-like N-(2-aminoethyl)glycine backbone. Because of their inherent benefits, such as increased stability and enhanced binding affinity toward DNA or RNA substrates, PNAs are intensively studied and considered beneficial for the fields of materials and nanotechnology science. Herein, we designed cationic polypeptide-functionalized, 10-mer PNAs, and demonstrated the feasible detection of hybridization with short, complementary DNA substrates, following analytes interaction with the vestibule entry of an α-hemolysin (α-HL) nanopore. The opposite charged state at the polypeptide-functionalized PNA-DNA duplex extremities, facilitated unzipping of a captured duplex at the lumen entry of a voltage-biased nanopore, followed by monomers threading. These processes were resolvable and identifiable in real-time, from the temporal profile of the ionic current through a nanopore accompanying conformational changes of a single PNA-DNA duplex inside the α-HL nanopore. By employing a kinetic description within the discrete Markov chains theory, we proposed a minimalist kinetic model to successfully describe the electric force-induced strand separation in the duplex. The distinct interactions of the duplex at either end of the nanopore present powerful opportunities for introducing new generations of force-spectroscopy nanopore-based platforms, enabling from the same experiment duplex detection and assessment of interstrand base pairing energy.

A self-assembled nanoscale robotic arm controlled by electric fields

The use of dynamic, self-assembled DNA nanostructures in the context of nanorobotics requires fast and reliable actuation mechanisms. We therefore created a 55-nanometer-by-55-nanometer DNA-based molecular platform with an integrated robotic arm of length 25 nanometers, which can be extended to more than 400 nanometers and actuated with externally applied electrical fields. Precise, computer-controlled switching of the arm between arbitrary positions on the platform can be achieved within milliseconds, as demonstrated with single-pair Förster resonance energy transfer experiments and fluorescence microscopy. The arm can be used for electrically driven transport of molecules or nanoparticles over tens of nanometers, which is useful for the control of photonic and plasmonic processes. Application of piconewton forces by the robot arm is demonstrated in force-induced DNA duplex melting experiments.

Single-Molecule Titration in a Protein Nanoreactor Reveals the Protonation/Deprotonation Mechanism of a C:C Mismatch in DNA

Measurement of single-molecule reactions can elucidate microscopic mechanisms that are often hidden from ensemble analysis. Herein, we report the acid-base titration of a single DNA duplex confined within the wild-type α-hemolysin (α-HL) nanopore for up to 3 h, while monitoring the ionic current through the nanopore. Modulation between two states in the current-time trace for duplexes containing the C:C mismatch in proximity to the latch constriction of α-HL is attributed to the base flipping of the C:C mismatch. As the pH is lowered, the rate for the C:C mismatch to flip from the intra-helical state to the extra-helical state ( k_intra-extra) decreases, while the rate for base flipping from the extra-helical state to the intra-helical state ( k_extra-intra) remains unchanged. Both k_intra-extra and k_extra-intra are on the order of 1 × 10^-2 s^-1 to 1 × 10^-1 s^-1 and remain stable over the time scale of the measurement (several hours). Analysis of the pH-dependent kinetics of base flipping using a hidden Markov kinetic model demonstrates that protonation/deprotonation occurs while the base pair is in the intra-helical state. We also demonstrate that the rate of protonation is limited by transport of H⁺ into the α-HL nanopore. Single-molecule kinetic isotope experiments exhibit a large kinetic isotope effect (KIE) for k_intra-extra ( k_H/ k_D ≈ 5) but a limited KIE for k_extra-intra ( k_H/ k_D ≈ 1.3), supporting our model. Our experiments correspond to the longest single-molecule measurements performed using a nanopore, and demonstrate its application in interrogating mechanisms of single-molecule reactions in confined geometries.

Label-Free Single-Molecule Thermoscopy Using a Laser-Heated Nanopore

When light is used to excite electronic transitions in a material, nonradiative energy during relaxation is often released in the form of heat. In this work, we show that photoexcitation of a silicon nitride nanopore using a focused visible laser results in efficient localized photothermal heating, which reduces the nearby electrolyte viscosity and increases the ionic conductance. In addition, a strong localized thermal gradient in the pore vicinity is produced, evidenced by finite-element simulations and experimental observation of both ion and DNA thermophoresis. After correcting for thermophoresis, the nanopore current can be used as a nanoscale thermometer, enabling rapid force thermoscopy. We utilize this to probe thermal melting transitions in synthetic and native biomolecules that are heated at the nanopore. Our results on single molecules are validated by correspondence to bulk measurements, which paves the way to various biophysical experiments that require rapid temperature and force control on individual molecules.

Driven translocation of a semi-flexible polymer through a nanopore

We study the driven translocation of a semi-flexible polymer through a nanopore by means of a modified version of the iso-flux tension propagation theory, and extensive molecular dynamics (MD) simulations. We show that in contrast to fully flexible chains, for semi-flexible polymers with a finite persistence length [Formula: see text] the trans side friction must be explicitly taken into account to properly describe the translocation process. In addition, the scaling of the end-to-end distance R N as a function of the chain length N must be known. To this end, we first derive a semi-analytic scaling form for R N, which reproduces the limits of a rod, an ideal chain, and an excluded volume chain in the appropriate limits. We then quantitatively characterize the nature of the trans side friction based on MD simulations. Augmented with these two factors, the theory shows that there are three main regimes for the scaling of the average translocation time τ ∝ N α . In the rod [Formula: see text], Gaussian [Formula: see text] and excluded volume chain [Formula: see text] ≫ 10 6 limits, α = 2, 3/2 and 1 + ν, respectively, where ν is the Flory exponent. Our results are in good agreement with available simulations and experimental data.

Electrostatic melting in a single-molecule field-effect transistor with applications in genomic identification

The study of biomolecular interactions at the single-molecule level holds great potential for both basic science and biotechnology applications. Single-molecule studies often rely on fluorescence-based reporting, with signal levels limited by photon emission from single optical reporters. The point-functionalized carbon nanotube transistor, known as the single-molecule field-effect transistor, is a bioelectronics alternative based on intrinsic molecular charge that offers significantly higher signal levels for detection. Such devices are effective for characterizing DNA hybridization kinetics and thermodynamics and enabling emerging applications in genomic identification. In this work, we show that hybridization kinetics can be directly controlled by electrostatic bias applied between the device and the surrounding electrolyte. We perform the first single-molecule experiments demonstrating the use of electrostatics to control molecular binding. Using bias as a proxy for temperature, we demonstrate the feasibility of detecting various concentrations of 20-nt target sequences from the Ebolavirus nucleoprotein gene in a constant-temperature environment.

DNA hybridization of two single-strands to form a double-stranded helix is widely used for genomic identification applications. Here, Vernick et al. record duplex formation of 20-mer oligonucleotide using a single-molecule field-effect transistor, where DNA kinetics is affected by electrostatic bias.

Kinetics of T3-DNA Ligase-Catalyzed Phosphodiester Bond Formation Measured Using the α-Hemolysin Nanopore

The latch region of the wild-type α-hemolysin (α-HL) protein channel can be used to distinguish single base modifications in double-stranded DNA (dsDNA) via ion channel measurements upon electrophoretic capture of dsDNA in the vestibule of α-HL. Herein, we investigated the use of the latch region to detect a nick in the phosphodiester DNA backbone. The presence of a nick in the phosphodiester backbone of one strand of the duplex results in a significant increase in both the blockade current and noise level relative to the intact duplex. Differentiation between the nicked and intact duplexes based on blockade current or noise, with near baseline resolution, allows real-time monitoring of the rate of T3-DNA ligase-catalyzed phosphodiester bond formation. Under low ionic strength conditions containing divalent cations and a molecular crowding agent (75 mg mL^-1 PEG), the rate of enzyme-catalyzed reaction in the bulk solution was continuously monitored by electrophoretically capturing reaction substrate or product dsDNA in the α-HL protein channel vestibule. Enzyme kinetic results obtained from the nanopore experiments match those from gel electrophoresis under the same reaction conditions, indicating the α-HL nanopore measurement provides a viable approach for monitoring enzymatic DNA repair activity.

Polymer translocation through nanopore into active bath

Polymer translocation through nanopores into a crowded environment is of ubiquitous importance in many biological processes. Here we investigate polymer translocation through a nanopore into an active bath of self-propelled particles in two-dimensional space using Langevin dynamics simulations. Interestingly, we find that the mean translocation time τ can show a bell-shape dependence on the particle activity F_a at a fixed volume fraction ϕ, indicating that the translocation process may become slower for small activity compared to the case of the passive media, and only when the particle activity becomes large enough can the translocation process be accelerated. In addition, we also find that τ can show a minimum as a function of ϕ if the particle activity is large enough, implying that an intermediate volume fraction of active particles is most favorable for the polymer translocation. Detailed analysis reveals that such nontrivial behaviors result from the two-fold effect of active bath: one that active particles tend to accumulate near the pore, providing an extra pressure hindering the translocation, and the other that they also aggregate along the polymer chain, generating an effective pulling force accelerating the translocation. Such results demonstrate that active bath plays rather subtle roles on the polymer translocation process.

Unzipping of A-Form DNA-RNA, A-Form DNA-PNA, and B-Form DNA-DNA in the α-Hemolysin Nanopore

Unzipping of double-stranded nucleic acids by an electric field applied across a wild-type α-hemolysin (αHL) nanopore provides structural information about different duplex forms. In this work, comparative studies on A-form DNA-RNA duplexes and B-form DNA-DNA duplexes with a single-stranded tail identified significant differences in the blockage current and the unzipping duration between the two helical forms. We observed that the B-form duplex blocks the channel 1.9 ± 0.2 pA more and unzips ∼15-fold more slowly than an A-form duplex at 120 mV. We developed a model to describe the dependence of duplex unzipping on structure. We demonstrate that the wider A-form duplex (d = 2.4 nm) is unable to enter the vestibule opening of αHL on the cis side, leading to unzipping outside of the nanopore with higher residual current and faster unzipping times. In contrast, the smaller B-form duplexes (d = 2.0 nm) enter the vestibule of αHL, resulting in decreased current blockages and slower unzipping. We investigated the effects of varying the length of the single-stranded overhang, and studied A-form DNA-PNA duplexes to provide additional support for the proposed model. This study identifies key differences between A- and B-form duplex unzipping that will be important in the design of future probe-based methods for detecting DNA or RNA.

MspA nanopore as a single-molecule tool: From sequencing to SPRNT

Single-molecule picometer resolution nanopore tweezers (SPRNT) is a new tool for analyzing the motion of nucleic acids through molecular motors. With SPRNT, individual enzymatic motions along DNA as small as 40 pm can be resolved on sub-millisecond time scales. Additionally, SPRNT reveals an enzyme’s exact location with respect to a DNA strand’s nucleotide sequence, enabling identification of sequence-specific behaviors. SPRNT is enabled by a mutant version of the biological nanopore formed by Mycobacterium smegmatis porin A (MspA). SPRNT is strongly rooted in nanopore sequencing and therefore requires a solid understanding of basic principles of nanopore sequencing. Furthermore, SPRNT shares tools developed for nanopore sequencing and extends them to analysis of single-molecule kinetics. As such, this review begins with a brief history of our work developing the nanopore MspA for nanopore sequencing. We then describe the underlying principles of SPRNT, how it works in detail, and propose some potential future uses. We close with a comparison of SPRNT to other techniques and we present the methods that will enable others to use SPRNT.

Topology sorting and characterization of folded polymers using nano-pores

Here we report on the translocation of folded polymers through nano-pores using molecular dynamic simulations. Two cases are studied: one in which a folded molecule unfolds upon passage and one in which the folding remains intact as the molecule passes through the nano-pore. The topology of a folded polymer chain is defined as the arrangement of the intramolecular contacts, known as circuit topology. In the case where intramolecular contacts remain intact, we show that the dynamics of passage through a nano-pore varies for molecules with differing topologies: a phenomenon that can be exploited to enrich certain topologies in mixtures. We find that the nano-pore allows reading of the topology for short chains. Moreover, when the passage is coupled with unfolding, the nano-pore enables discrimination between pure states, i.e., states in which the majority of contacts are arranged identically. In this case, as we show here, it is also possible to read the positions of the contact sites along a chain. Our results demonstrate the applicability of nano-pore technology to characterize and sort molecules based on their topology.

Logic Gate Operation by DNA Translocation through Biological Nanopores

Logical operations using biological molecules, such as DNA computing or programmable diagnosis using DNA, have recently received attention. Challenges remain with respect to the development of such systems, including label-free output detection and the rapidity of operation. Here, we propose integration of biological nanopores with DNA molecules for development of a logical operating system. We configured outputs “1” and “0” as single-stranded DNA (ssDNA) that is or is not translocated through a nanopore; unlabeled DNA was detected electrically. A negative-AND (NAND) operation was successfully conducted within approximately 10 min, which is rapid compared with previous studies using unlabeled DNA. In addition, this operation was executed in a four-droplet network. DNA molecules and associated information were transferred among droplets via biological nanopores. This system would facilitate linking of molecules and electronic interfaces. Thus, it could be applied to molecular robotics, genetic engineering, and even medical diagnosis and treatment.

Diffusive dynamics of DNA unzipping in a nanopore

When an electric field is applied to an insulating membrane, movement of charged particles through a nanopore is induced. The measured ionic current reports on biomolecules passing through the nanopore. In this work, we explored the kinetics of DNA unzipping in a nanopore using our coarse-grained model (Stachiewicz and Molski, J. Comput. Chem. 2015, 36, 947). Coarse graining allowed a more detailed analysis for a wider range of parameters than all-atom simulations. Dependence of the translocation mode (unzipping or distortion) on the pore diameter was examined, and the threshold voltages were estimated. We determined the potential of mean force, position-dependent diffusion coefficient, and position-dependent effective charge for the DNA unzipping. The three molecular profiles were correlated with the ionic current and molecular events. On the unzipping/translocation force profile, two energy maxima were found, one of them corresponding to the unzipping, and the other to the translocation barriers. The unzipping kinetics were further explored using Brownian dynamics.

Base Flipping within the α-Hemolysin Latch Allows Single-Molecule Identification of Mismatches in DNA

A method for identifying and differentiating DNA duplexes containing the mismatched base pairs CC and CA at single molecule resolution with the protein pore α-hemolysin (αHL) is presented. Unique modulating current signatures are observed for duplexes containing the CC and CA mismatches when the mismatch site in the duplex is situated in proximity to the latch constriction of αHL during DNA residence inside the pore. The frequency and current amplitude of the modulation states are dependent on the mismatch type (CC or CA) permitting easy discrimination of these mismatches from one another, and from a fully complementary duplex that exhibits no modulation. We attribute the modulating current signatures to base flipping and subsequent interaction with positively charged lysine residues at the latch constriction of αHL. Our hypothesis is supported by the extended residence times of DNA duplexes within the pore when a mismatch is in proximity to the latch constriction, and by the loss of the two-state current signature in low pH buffers (<6.3), where the protonation of one of the cytosine bases increases the stability of the intrahelical state.