The electromechanics of DNA in a synthetic nanopore

We have explored the electromechanical properties of DNA on a nanometer-length scale using an electric field to force single molecules through synthetic nanopores in ultrathin silicon nitride membranes. At low electric fields, E < 200 mV/10 nm, we observed that single-stranded DNA can permeate pores with a diameter >/=1.0 nm, whereas double-stranded DNA only permeates pores with a diameter >/=3 nm. For pores <3.0 nm diameter, we find a threshold for permeation of double-stranded DNA that depends on the electric field and pH. For a 2 nm diameter pore, the electric field threshold is approximately 3.1 V/10 nm at pH = 8.5; the threshold decreases as pH becomes more acidic or the diameter increases. Molecular dynamics indicates that the field threshold originates from a stretching transition in DNA that occurs under the force gradient in a nanopore. Lowering pH destabilizes the double helix, facilitating DNA translocation at lower fields.     

Dynamics of long DNA confined by linear polymers

We studied the electrophoretic behavior of long DNA molecules in a linear polymer [polyacrylamide (PA)] solution through direct observation by means of fluorescence microscopy. DNA migrates in an I-shaped conformation in concentrated polymer solutions under steady electric fields, but it is not stretched up to its natural contour length in this I-shaped conformation under such fields. The stretching of DNA is induced under alternating current fields through the entanglement effect between DNA and host polymers. We experimentally investigated the conditions required for this stretching phenomenon and found that DNA can be stretched at a concentration of around 7% PA, under a field of around 10 Hz. These conditions do not depend on the length of the DNA chains. It is expected that DNA stretching will be useful in the optical mapping of specific sites along an individual DNA chain.     

Single long DNA molecule analysis using fluorescence microscopy.

Single long DNA molecule (T4 DNA) in agarose gel was visualized with a fluorescence microscope. We confirmed alternating current electric fields is effective for stretching of single DNA molecule in agarose gel. This stretching phenomenon was observed with wide range of agarose gel concentration from 0.5%(W/V) to 1.5%. From this observation, the presence of agarose gel fiber is essential for this stretching phenomenon. The stretching process of several DNA molecules in gel shows discontinuity, which is never observed in polymer systems. It would be based on topological restriction from gel fibers.     

Quantitative analysis of the three regimes of DNA electrophoresis in agarose gels

An extensive series of experiments has been performed to study the mobility of DNA fragments ranging in size from 2.0 to 48.5 kilobose pairs. By varying the agarose concentration in the gels and the electric field strength, three DNA electrophoresis regimes were clearly identified: the Ogston regime (small DNA fragments in large pores of agarose), the reptation regime without DNA chain stretching (small pores of agarose and weak electric fields), and the reptation regime with DNA chain stretching (small pores of agarose, strong electric fields, and large DNA fragments). Here we report on the experimental identification of these regimes and on the conditions governing the transition between each of them. The onset of reptation and of stretching of DNA chains in gel electrophoresis are described quantitatively for the first time, and a phase diagram for the dynamics of DNA during electrophoresis is presented.     

Theory of Low-Frequency Vibrations in DNA Macromolecules

Abstract

To describe low-frequency dynamics of DNA macromolecules a model is developed taking into account the hydrogen bond stretching in base pairs, the backbone flexibility and intranucleoside mobility. For double-stranded DNA the normal vibrations are found and the structure of low- frequency spectrum is determined. The agreement between theory and Raman spectroscopy data for B-DNA is demonstrated. Conformational dependences of vibration spectrum during the B→A and helix→coil DNA transitions are studied. The contribution coming from low-frequency mobility to the nucleic-protein recognition processes is discussed.     

Orientation relaxation of DNA restriction fragments and the internal mobility of the double helix

The orientation relaxation of 15 DNA restriction fragments (43-4361 base-pairs) is characterized by measurements of linear dichroism using high electric field pulses. The off-field relaxation of fragments of 84 base-pairs or less can be described by single exponentials, which are related to the transverse rotational diffusion of the helix. Fragments of 95 base-pairs or greater exhibit an additional fast component with time constants around 100 ns for fragments of approx. 100 base-pairs, increasing with chain length to about 700 ns for a fragment with 258 base-pairs. The amplitude of this process increases from virtually zero at low fields (approximately equal to 10 kV) to a substantial limit contribution at high fields. According to these results, we suggest that electric fields induce stretching of the DNA fragments from a weakly bent to a more straight form and that the fast component reflects the internal mobility of the DNA chain. The slow off-field components of the orientation are discussed in terms of different models. The data up to helix lengths of about 400 base-pairs can be described by the 'weakly bending rod' model from Hearst using 3.4 A rise per base-pair and 13 A axial radius of the helix. Both the weakly bending rod according to Hearst and the 'wormlike chain' according to Hagerman and Zimm provide a persistence length of 500 A. The on-field relaxation is slower than the corresponding off-field process at low field strengths, but the on-field process is accelerated substantially at high electric fields. These observations are compared with model calculations of Schwarz.     

The hydrodynamics of DNA electrophoretic stretch and relaxation in a polymer solution

Theories of DNA electrophoretic separations generally treat the DNA as a free draining polymer moving in an electric field at a rate that depends on the effective charge density of the molecule. Separations can occur in sieving media ranging from ultradilute polymer solutions to tightly cross-linked gels. It has recently been shown that DNA is not free-draining when both electric and nonelectric forces simultaneously act on the molecule, as occurs when DNA collides with a polymer during electrophoretic separations. Here we show that a semidilute polymer solution screens the hydrodynamic interaction that results from the application of these forces. Fluorescently labeled DNA tethered at one end in a semidilute solution of hydroxyl-ethyl cellulose stretch more in an electric field than they stretch in free solution, and approach free-draining behavior. The steady stretching behavior is predicted without adjustable parameters by a theory developed by Stigter using a hydrodynamic screening length found from effective medium theory. Data on the relaxation of stretched molecules after the electric field is removed agree with the Rouse model prediction, which neglects hydrodynamic interactions. The slowest relaxation time constant, tau(R), scales with chain length as tau(R) approximately L(1.9+/-0.17) when analyzed by the data collapse method, and as tau(R) approximately L(2.17+/-0.17) when analyzed by multiexponential fit.     

Electro-optic scattering studies on deoxyribonucleic acid

Measurements have been made of the intensity of light scattered from aqueous solutions of calf thymus DNA with and without the application of electric fields. For fields approaching 150 V/cm and frequencies below 2.5 KHz, changes (ΔI) of up to 10% in the residual scattered intensity were observed. In agreement with previous dielectric and electric birefringence measurements, a low frequency dispersion of ΔI was observed, from which a rotary diffusion constant (D) of 1200 s^?1 was determined. Interpreting the electric field data in terms of the classical dipolar orientation theory led to values of 2.4 × 10^?25 cm (7.4 × 10^?14 esu) and 4.3 × 10^?25 cm (13 × 10^?14 esu) for the permanent dipole moment and the anisotropy of the electric polarisabilities respectively. Furthermore the permanent dipole moment was along the major molecular axis and the particles orientated in the field as rigid entities. The zero field data indicated a molecular shape which was not rodlike but corresponded to the Kratky-Porod “stiffness” parameter of x = 24 for the wormlike coil model. Although curved, the molecules appeared to orientate in low-intensity electric fields as rigid, but not rodlike molecules. The implications of this on recent discrepancies in D determined by two or more dynamic relaxation methods is briefly discussed.     

Conformational changes of polypeptides in intense electric fields

Employing a simple “all or none” statistical theory, a calculation is given of the phase diagram in electric field–temperature space for the helix–coil transition of a polypeptide with nonpolar residues but charged end groups. The principal results are (i) the transition field extrapolated to absolute zero is on the order of millions of volts per centimeter, (ii) the normal transition temperature of large molecules is predicted to be significantly affected by fields as low as 30,000 V/cm, and (iii) for temperatures just above the helix-coil transition temperature, the application of a field to a large molecule causes an initial transition to the helix state and with a further isothermal increase of field the coil state returns. The theory is extended to the case of the unfolding of a globular protein in an electric field. The fields are somewhat lower than those for the helix-coil transition and are always single-valued at a given temperature. Lastly the effect of including the presence of charged residues is shown to decrease the estimated critical fields but keep them of the same order of magnitude as those given for the case of nonpolar residues.     

Microscopic Kinetics of DNA Translocation through synthetic nanopores

We have previously demonstrated that a nanometer-diameter pore in a nanometer-thick metal-oxide-semiconductor-compatible membrane can be used as a molecular sensor for detecting DNA. The prospects for using this type of device for sequencing DNA are avidly being pursued. The key attribute of the sensor is the electric field-induced (voltage-driven) translocation of the DNA molecule in an electrolytic solution across the membrane through the nanopore. To complement ongoing experimental studies developing such pores and measuring signals in response to the presence of DNA, we conducted molecular dynamics simulations of DNA translocation through the nanopore. A typical simulated system included a patch of a silicon nitride membrane dividing water solution of potassium chloride into two compartments connected by the nanopore. External electrical fields induced capturing of the DNA molecules by the pore from the solution and subsequent translocation. Molecular dynamics simulations suggest that 20-basepair segments of double-stranded DNA can transit a nanopore of 2.2 x 2.6 nm(2) cross section in a few microseconds at typical electrical fields. Hydrophobic interactions between DNA bases and the pore surface can slow down translocation of single-stranded DNA and might favor unzipping of double-stranded DNA inside the pore. DNA occluding the pore mouth blocks the electrolytic current through the pore; these current blockades were found to have the same magnitude as the blockade observed when DNA transits the pore. The feasibility of using molecular dynamics simulations to relate the level of the blocked ionic current to the sequence of DNA was investigated.     

On the reptation theory of gel electrophoresis

We introduce a new biased reptation theory that allows a qualitative and semiquantitative study of DNA gel electrophoresis. We prove that stretching of the end-to-end vector of a very long charged reptating chain in an electric field occurs in a short period of time during a typical electrophoresis experiment, and that this leads to a field-dependent mobility only weaky dependent upon the size of the chain, in agreement with experiments on DNA. We also propose a practical technique to avoid chain stretching. Finally, many scaling laws are predicted, most of them being verifiable by experiment.     

Electric dichroism and bending amplitudes of DNA fragments according to a simple orientation function for weakly bent rods

The linear dichroism is calculated for DNA fragments in their thermal bending equilibrium. These calculations are given for relatively short fragments, where bent molecules can be described by an arc model. Using the measured value of 350 A for the persistence length, the limit dichroism (corresponding to complete alignment) decreases due to thermal bending, e.g., for a fragment with 100 base pairs to 80% of the value expected for straight molecules. Thermal bending should lead to a strong continuous decrease of the dichroism with increasing chain length, which is not observed, however, in electric dichroism experiments due to electric stretching. The influence of the electric field on the bending equilibrium is described by a contribution to the bending energy, which is calculated from the movement of charge equivalents against the potential gradient upon bending. The charge equivalents, which are assigned to the helix ends, are derived from the dipole moments causing the stationary degree of orientation. By this procedure the energy term inducing DNA stretching is given for induced, permanent, and saturating induced dipole models without introduction of any additional parameter. The stationary dichroism at a given electric field strength is then calculated according to an arc model by integration over all angles of orientation of helix axes or chords with respect to the field vector, and at each of these angles the contribution to the dichroism is calculated by integration over all helices with different degrees of bending. Orientation functions obtained by this procedure are fitted to dichroism data measured for various restriction fragments. Optimal fits are found for an induced dipole model with saturation of the polarizability. The difference between orientation functions with and without electric stretching is used to evaluate dichroism bending amplitudes. Both chain length and field strength dependence of bending amplitudes are consistent with experimental amplitudes derived from the dichroism decay in low salt buffers containing multivalent ions like Mg2+, spermine, or [CoNH3)6]3+. Bending amplitudes can be used to evaluate the persistence length from electrooptical data obtained for a single DNA restriction fragment. Bending and stretching effects are considerable already at relatively low chain length, and thus should not be neglected in any quantitative evaluation of experimental data.     

A DNA prism for high-speed continuous fractionation of large DNA molecules

The analysis and fractionation of large DNA molecules plays a key role in many genome projects. The standard method, pulsed-field gel electrophoresis (PFGE), is slow, with running times ranging from 10 hours to more than 200 hours. In this report, we describe a thumbnail-sized device that sorts large DNA fragments (61-209 kilobases (kb)) in 15 seconds, with a resolution of approximately 13%. An array of micron-scale posts serves as the sieving matrix, and integrated microfluidic channels spatially shape the electric fields over the matrix. Asymmetric pulsed fields are applied for continuous-flow operation, which sorts DNA molecules in different directions according to their molecular masses, much as a prism deflects light of different wavelengths at different angles. We demonstrate the robustness of the device by using it to separate large DNA inserts prepared from bacterial artificial chromosomes, a widely used DNA source for most genomics projects.     

DNA sequencing using specific long-range interaction between macromolecules

On the basis of the theory of specific long-range interaction between long molecules, an approach has been elaborated for «fast reading» of nucleotide sequences in one DNA molecule. First, a stretching force is applied to the molecule that causes its unwinding from B-form to S-form. Then, the molecule is placed in the stretched state on a support. After this, the electrostatic potential is estimated in a space along the DNA filament. The information obtained is sufficient for deducing the nucleotide sequence. Another approach to the «reading» of information reduces to measurement of the deformation of filament elements induced by the electric field from the electrode that stretches the filament by an alternating current applied.     

Separation of large DNA by a variable-angle contour-clamped homogeneous electric field apparatus.

A device for separating large DNA molecules by pulsed field electrophoresis is described. Based on the principles of contour-clamped homogeneous electric fields (CHEF), it uses feedback to clamp voltages in a square electrode array, which is compact and inexpensive to construct, adaptable to computer control, and reorients the electric field by arbitrary angles. To illustrate its capabilities, pulsed fields with reorientation angles ranging from 90 to 140 degrees were used to separate DNAs of 4.7 and 5.7 megabases by up to four band-widths in 20 h. The combination of accessible technology and complete control of the electric field should facilitate the search for ways to resolve even larger DNA.     

Molecular Stretching of Long DNA in Agarose Gel Using Alternating Current Electric Fields

We demonstrate a novel method for stretching a long DNA molecule in agarose gel with alternating current (AC) electric fields. The molecular motion of a long DNA (T4 DNA; 165.6 kb) in agarose gel was studied using fluorescence microscopy. The effects of a wide range of field frequencies, field strengths, and gel concentrations were investigated. Stretching was only observed in the AC field when a frequency of ∼10 Hz was used. The maximal length of the stretched DNA had the longest value when a field strength of 200 to 400 V/cm was used. Stretching was not sensitive to a range of agarose gel concentrations from 0.5 to 3%. Together, these experiments indicate that the optimal conditions for stretching long DNA in an AC electric field are a frequency of 10 Hz with a field strength of 200 V/cm and a gel concentration of 1% agarose. Using these conditions, we were able to successfully stretch Saccharomyces cerevisiae chromosomal DNA molecules (225-2,200 kb). These results may aid in the development of a novel method to stretch much longer DNA, such as human chromosomal DNA, and may contribute to the analysis of a single chromosomal DNA from a single cell.     

Micropatterned cell cultures on elastic membranes as an in vitro model of myocardium

We describe here a new in vitro protocol for structuring cardiac cell cultures to mimic important aspects of the in vivo ventricular myocardial phenotype by controlling the location and mechanical environment of cultured cells. Microlithography is used to engineer microstructured silicon metal wafers. Those are used to fabricate either microgrooved silicone membranes or silicone molds for microfluidic application of extracellular matrix proteins onto elastic membranes (involving flow control at micrometer resolution). The physically or microfluidically structured membranes serve as a cell culture growth substrate that supports cell alignment and allows the application of stretch. The latter is achieved with a stretching device that can deliver isotropic or anisotropic stretch. Neonatal ventricular cardiomyocytes, grown on these micropatterned membranes, develop an in vivo-like morphology with regular sarcomeric patterns. The entire process from fabrication of the micropatterned silicon metal wafers to casting of silicone molds, microfluidic patterning and cell isolation and seeding takes approximately 7 days.     

Electrophoretic mobility of DNA in gels. II. Systematic experimental study in agarose gels

A systematic study has been undertaken to prove or disprove the predictions of a revised reptation model, biased reptation with fluctuations (BRF). Our data, which scan about two orders of magnitude of DNA sizes and of electric fields, and a fourfold range of gel concentrations, are in qualitative and quantitative agreement with the model and support the applicability of this theory to DNA gel electrophoresis. In particular, we show that the mobility in the compression zone scales as the first power of the electric field, and that the limit of separation scales as the inverse first power of the electric field, for low enough fields. © 1994 John Wiley & Sons, Inc.     

Dynamics and thermomechanical stability of DNA in solution

We present an analysis of the response of native DNA solutions to well-defined elongational flow fields. At low strain rates the DNA duplex behaves as an expanded coil. It shows a noncritical coil-stretch transition, suggesting relatively little hysteresis of the relaxation time. On the other hand, the relaxation time is consistent with a nonfree draining coil. At higher strain rates we observe midpoint scission. This has been modeled very successfully as a thermomechanically activated process. Scission occurs at hydrolyzable weak linkages along the constituent strands. Complete scission of the DNA helix is, however, considerably less prevalent than would be expected given the low stability of the constituent strands. We speculate upon the molecular origin and biological consequences of this enhanced stability. © 1994 John Wiley & Sons, Inc.     

Electric birefringence of restriction enzyme fragments of DNA: optical factor and electric polarizability as a function of molecular weight

The electric birefringence of restriction enzyme fragments of DNA has been investigated as a function of DNA concentration, buffer concentration, and molecular weight, covering a molecular weight range from 80 to 4364 base pairs (bp) (6 × 10⁴–3 × 10⁶ daltons). The specific birefringence of the DNA fragments is independent of DNA concentration below 20 μg DNA/ml, but decreases with increasing buffer concentration, or conductivity, of the solvent. At sufficiently low field strengths, the Kerr law is obeyed for all fragments. The electric field at which the Kerr law ends is inversely proportional to molecular weight. In the Kerr law region the rise of the birefringence is accurately symmetrical with the decay for fragments ≤ 389 bp, indicating an induced dipole orientation mechanism. The optical factor calculated from a 1/E extrapolation of the high field birefringence data is ?0.028, independent of molecular weight; if a 1/E² extrapolation is used, the optical factor is ?0.023. The induced polarizability, calculated from the Kerr constant and the optical factor, is proportional to the square of the length of the DNA fragments, and inversely proportional to temperature. Saturation curves for DNA fragments ≤ 161 bp can be described by theoretical saturation curves for induced dipole orientation. The saturation curves of larger fragments are broadened, because of a polarization term which is approximately linear in E, possibly related to the saturation of the induced dipole in high electric fields. This “saturated induced dipole” is found to be 6400 D, independent of molecular weight. The melting temperature of a 216-bp sample is decreased 6°C in an electric field of 8 kV/cm, because the lower charge density of the coil form of DNA makes it more stable in an electric field than the helix form.