Microscopic behaviour of DNA during electrophoresis: electrophoretic orientation

Quantum entanglement: facts and fiction - how wrong was Einstein after all?

Einstein was wrong with his 1927 Solvay Conference claim that quantum mechanics is incomplete and incapable of describing diffraction of single particles. However, the Einstein-Podolsky-Rosen paradox of entangled pairs of particles remains lurking with its 'spooky action at a distance'. In molecules quantum entanglement can be viewed as basis of both chemical bonding and excitonic states. The latter are important in many biophysical contexts and involve coupling between subsystems in which virtual excitations lead to eigenstates of the total Hamiltonian, but not for the separate subsystems. The author questions whether atomic or photonic systems may be probed to prove that particles or photons may stay entangled over large distances and display the immediate communication with each other that so concerned Einstein. A dissociating hydrogen molecule is taken as a model of a zero-spin entangled system whose angular momenta are in principle possible to probe for this purpose. In practice, however, spins randomize as a result of interactions with surrounding fields and matter. Similarly, no experiment seems yet to provide unambiguous evidence of remaining entanglement between single photons at large separations in absence of mutual interaction, or about immediate (superluminal) communication. This forces us to reflect again on what Einstein really had in mind with the paradox, viz. a probabilistic interpretation of a wave function for an ensemble of identically prepared states, rather than as a statement about single particles. Such a prepared state of many particles would lack properties of quantum entanglement that make it so special, including the uncertainty upon which safe quantum communication is assumed to rest. An example is Zewail's experiment showing visible resonance in the dissociation of a coherently vibrating ensemble of NaI molecules apparently violating the uncertainty principle. Einstein was wrong about diffracting single photons where space-like anti-bunching observations have proven recently their non-local character and how observation in one point can remotely affect the outcome in other points. By contrast, long range photon entanglement with immediate, superluminal response is still an elusive, possibly partly misunderstood issue. The author proposes that photons may entangle over large distances only if some interaction exists via fields that cannot propagate faster than the speed of light. An experiment to settle this 'interaction hypothesis' is suggested.

UV-Vis spectroscopy of tyrosine side-groups in studies of protein structure. Part 1: basic principles and properties of tyrosine chromophore

Spectroscopic properties of tyrosine residues may be employed in structural studies of proteins. Here we discuss several different types of UV–Vis spectroscopy, like normal, difference and second-derivative UV absorption spectroscopy, fluorescence spectroscopy, linear and circular dichroism spectroscopy, and Raman spectroscopy, and corresponding optical properties of the tyrosine chromophore, phenol, which are used to study protein structure.

A chiroptical switch based on DNA/layered double hydroxide ultrathin films

A highly oriented film was fabricated by layer-by-layer self-assembly of DNA and MgAl-layered double hydroxide nanosheets, and its application in chiroptical switch was demonstrated via intercalation and deintercalation of an achiral molecule into the DNA cavity. DNA molecules are prone to forming an ordered and dispersive state in the interlayer region of rigid layered double hydroxide (LDH) nanosheets as confirmed by scanning electron microscopy and atomic force microscopy. The induced chiroptical ultrathin film (UTF) is achieved via the intercalation of an achiral chromophore [5,10,15,20-tetrakis(4-N-methylpyridyl)porphine tetra(p-toluenesulfonate) (TMPyP)] into the spiral cavity of DNA stabilized in the LDH matrix [denoted as TMPyP-(DNA/LDH)20]. Fluorescence and circular dichroism spectroscopy are utilized to testify the intercalation of TMPyP into (DNA/LDH)20 UTF that involves two steps: the electrostatic binding of TMPyP onto the surface of (DNA/LDH)20 followed by intercalation into base pairs of DNA. In addition, the TMPyP-(DNA/LDH)20 UTF exhibits good reversibility and repeatability in induced optical chirality, based on the intercalation and deintercalation of TMPyP by alternate exposure to HCl and NH3/H2O vapor, which can be potentially used as a chiroptical switch in data storage.

Efficient Separation of Long Polymer Chains by Contour Length and Architecture

On the basis of theoretical considerations and computer experiment, we suggest a new technique for separation of polymer molecules. The method is based on filling an array of nanochannels with macromolecules whereby the subsequent ejection time depends strongly on small differences in the end-to-end distances of elongated configurations inside the nanotubes. In contrast to conventional methods for chromatographic separation, the efficiency of the proposed method increases with growing molecular length of the chains. The method appears promising also for the separation of ring from linear polymer chains.

Effect of the matrix on DNA electrophoretic mobility

DNA electrophoretic mobilities are highly dependent on the nature of the matrix in which the separation takes place. This review describes the effect of the matrix on DNA separations in agarose gels, polyacrylamide gels and solutions containing entangled linear polymers, correlating the electrophoretic mobilities with information obtained from other types of studies. DNA mobilities in various sieving media are determined by the interplay of three factors: the relative size of the DNA molecule with respect to the effective pore size of the matrix, the effect of the electric field on the matrix, and specific interactions of DNA with the matrix during electrophoresis.

Protein fiber linear dichroism for structure determination and kinetics in a low-volume, low-wavelength couette flow cell

High-resolution structure determination of soluble globular proteins relies heavily on x-ray crystallography techniques. Such an approach is often ineffective for investigations into the structure of fibrous proteins as these proteins generally do not crystallize. Thus investigations into fibrous protein structure have relied on less direct methods such as x-ray fiber diffraction and circular dichroism. Ultraviolet linear dichroism has the potential to provide additional information on the structure of such biomolecular systems. However, existing systems are not optimized for the requirements of fibrous proteins. We have designed and built a low-volume (200 microL), low-wavelength (down to 180 nm), low-pathlength (100 microm), high-alignment flow-alignment system (couette) to perform ultraviolet linear dichroism studies on the fibers formed by a range of biomolecules. The apparatus has been tested using a number of proteins for which longer wavelength linear dichroism spectra had already been measured. The new couette cell has also been used to obtain data on two medically important protein fibers, the all-beta-sheet amyloid fibers of the Alzheimer's derived protein Abeta and the long-chain assemblies of alpha1-antitrypsin polymers.

Arrangement of RecA protein in its active filament determined by polarized-light spectroscopy

Linear dichroism (LD) polarized-light spectroscopy is used to determine the arrangement of RecA in its large filamentous complex with DNA, active in homologous recombination. Angular orientation data for two tryptophan and seven tyrosine residues, deduced from differential LD of wild-type RecA vs. mutants that were engineered to attenuate the UV absorption of selected residues, revealed a rotation by some 40 degrees of the RecA subunits relative to the arrangement in crystal without DNA. In addition, conformational changes are observed for tyrosine residues assigned to be involved in DNA binding and in RecA-RecA contacts, thus potentially related to the global structure of the filament and its biological function. The presented spectroscopic approach, called "Site-Specific Linear Dichroism" (SSLD), may find forceful applications also to other biologically important fibrous complexes not amenable to x-ray crystallographic or NMR structural analysis.

Enhanced capacity for electrophoretic capture of plasmid DNA by agarase treatment of agarose gels

Agarase was used investigate the effect of increasing the number of polymer ends on the electrophoretic trapping of circular DNA in agarose gels. The electric field strength required to trap circular DNA was found to be the same in control and treated gels, indicating the treatment did not result in longer traps. Loading experiments indicated that treated gels had a significantly higher capacity for the open circular DNA. Electrophoretic mobility measurements using pulsed fields indicated a higher density of active traps for treated gels compared to controls. Linear dichroism experiments showed that impalement occurred by a fast and a slow process that had characteristic time constants in the one and tens of seconds ranges, respectively. The open circular DNA was more efficiently impaled in the treated gel compared to the control. The considerably higher efficiency of trapping indicated that agarase treatment increased the concentration of traps substantially.

Sorting biomolecules with microdevices

Micro- and nanofabrication techniques have provided an unprecedented opportunity to create a designed world in which separation and fractionation technologies which normally occur on the macroscopic scale can be optimized by designing structures which utilize the basic physics of the process, or new processes can be realized by building structures which normally do not exist without external design. Since microfabrication is exceedingly sophisticated in its development, it is possible to design and construct highly creative microdevices which allow one to probe specific aspects of biological objects. We give examples of uses of micro- and nanofabrication which, as opposed to simply shrinking the size of the vessels or tubes used in macroscopic lab environments, utilize our understanding of the physics of the process to take advantage of fabrication technologies.

Advances in the separation of bacteriophages and related particles

Nondenaturing gel electrophoresis is used to both characterize multimolecular particles and determine the assembly pathways of these particles. Characterization of bacteriophage-related particles has yielded strategies for characterizing multimolecular particles in general. Previous studies have revealed means for using nondenaturing gel electrophoresis to determine both the effective radius and the average electrical surface charge density of any particle. The response of electrophoretic mobility to increasing the magnitude of the electrical field is used to detect rod-shaped particles. To increase the capacity of nondenaturing gel electrophoresis to characterize comparatively large particles, some current research is directed towards either determining the structure of gels used for electrophoresis or inducing steric trapping of particles in dead-end regions within the fibrous network that forms a gel. A trapping-dependent technique of pulsed-field gel electrophoresis is presented with which a DNA-protein complex can be made to electrophoretically migrate in a direction opposite to the direction of migration of protein-free DNA.

High-frequency alternating-crossed-field gel electrophoresis with neutral or slightly charged interpenetrating networks to improve DNA separation

Toward improving DNA separations, this work reports the effects of high-frequency square-wave AC fields superimposed perpendicular to the direct current (DC) separation field on DNA migration in both polyacrylamide-based interpenetrating networks (IPNs) and in agarose networks. Compared to standard polyacrylamide gels, IPNs allow the separation of larger DNA (9000 bp vs. 5000 bp at 5 V/cm). In novel polyacrylamide-based IPNs, an alternating current (AC) field of 5 Hz increased the maximum DNA size separable. This effect was extended to larger DNA sizes with increasing electric-field strength up to and apparently beyond the power supply-limited maximum electric-field strength of 48 V/cm. The orthogonal AC field also increased mobility. These two results combine to yield a reduction in separation time of up to a factor of 20 in novel polyacrylamide-based IPNs. When negatively charged acrylic-acid groups were incorporated into the IPNs, the use of the AC field changed the DNA-network interaction, which altered the size dependence of DNA mobility. In agarose gels, an AC field of 50 Hz increased the size range separable; however, there was no increase in DNA mobility. There was no change in size dependence of mobility in an AC field when the number of charged groups in the agarose network was increased. Based on results in the literature, possible mechanisms were examined for the effects of the AC field on DNA separation.

Effects of supercoiling in electrophoretic trapping of circular DNA in polyacrylamide gels

Electrophoretic velocity and orientation have been used to study the electric-field-induced trapping of supercoiled and relaxed circular DNA (2926 and 5386 bp) in polyacrylamide gels (5% T, 3.3% C) at 7.5-22.5 V/cm, using as controls linear molecules of either the same contour length or the same radius of gyration. The circle-specific trapping is reversible. From the duration of the reverse pulse needed to detrap the molecules, the average trap depth is estimated to be 90 A, which is consistent with the molecular charge and the field strengths needed to keep molecules trapped. Trapped circles exhibit a strong field alignment compared to the linear form, and there is a good correlation between the enhanced field alignment for the circles and the onset of trapping in both constant and pulsed fields. The circles do not exhibit the orientation overshoot response to a field pulse seen with linear DNA, and the rate of orientation growth scales as E(-2+/-0.1) with the field, as opposed to E(-1.1+/-0.1) for the linear form. These results show that the linear form migrates by cyclic reptation, whereas the circles most likely are trapped by impalement on gel fibers. This proposal is supported by very similar velocity and orientation behavior of circular DNA in agarose gels, where impalement has been deemed more likely because of stiffer gel fibers. The trapping efficiency is sensitive to DNA topology, as expected for impalement. In polyacrylamide the supercoiled form (superhelical density sigma = -0.05) has a two- to fourfold lower probability of trapping than the corresponding relaxed species, whereas in agarose gels the supercoiled form is not trapped at all. These results are consistent with existing data on the average holes in the plectonemic supercoiled structures and the fiber thicknesses in the two gel types. On the basis of the topology effect, it is argued that impalement during pulsed-field electrophoresis in polyacrylamide gels may be useful for the separation of more intricate DNA structures such as knots. The results also indicate that linear dichroism on field-aligned molecules can be used to measure the supercoiling angle, if relaxed DNA circles are used as controls for the global degree of orientation.

Electrophoresis of long DNA molecules in linear polyacrylamide solutions

Electrophoresis of long DNA (T4 DNA; 166 kb, S. pombe chromosomal DNA; 3-6 Mb) in linear polyacrylamide solutions was investigated by fluorescence microscopy and capillary electrophoresis. In the past studies on electrophoresis of long DNA in a polymer solution, it was reported that DNA migrates in 'U-shape conformation'. We found that at higher polymer concentrations, the shape of the migrating DNA changes from U shape to linear shape ('I-shape conformation'). In the migration mode with the I-shape conformation, the DNA moves with almost constant velocity and constant shape. However, the migration velocity does depend on the DNA size, and it is possible to separate DNAs under this I-shape motion. Actually, Mb-sized DNAs are well separated within 5 min in the region for the I-shape motion by means of capillary electrophoresis with a DC field. Considering that it takes 20 h to separate Mb-sized DNAs by standard pulsed-field gel electrophoresis (PFGE), this results will be useful for the separation of giant DNAs.

Reorientation of large DNA molecules in concentrated polyacrylamide solution during crossed-field electrophoresis

Recently, we found that, in concentrated neutral solutions, DNA molecules migrate in linear conformation under steady electric field. In this paper, we report the conformational change of DNA during 120 degree crossed-field electrophoresis in the same polymer solution. We found that, in concentrated polyacrylamide solutions, the reorientation process of DNAs becomes simple: the DNA goes back along the previous track and the reorientation time is longer for larger DNA. Such a backtrack motion has been thought to be an essential motion for the separation of DNA fragments in pulsed field gel electrophoresis. We expect that this phenomenon is useful for a more efficient separation technique of large DNAs than the current pulsed field gel electrophoresis.

Effects of local changes in the helix flexibility on electrophoretic migration of DNA in agarose gel

We present a study of how kinks, flexible bends, and flexible joints in the DNA helix, induced by binding cis-diamminedichloroplatinum(II) (cis-DDP), transdiamminedichloroplatinum(II) (trans-DDP), and chlorodiethylenetriammineplatinum(II) (dien-Pt) to the DNA, affect the electrophoretic migration of DNA in agarose gels. For long DNA the conformation oscillates between extended and compact states during the migration, as for native DNA. The presence of flexible joints decreases both the length of time and the step length of the cycles, but in a compensatory manner so that there is no net effect on the mobility. This demonstrates that in some cases mobility alone cannot detect pertubations in the DNA helix. Kinks and flexible bends reduce the mobility because they both lead to longer time periods of the cycles. With kinks the reduction is strongest at low fields because at high fields the kinks are straightened out; the steps thus become even longer than for native DNA. The results suggest that a combination of mobility and orientation measurements on reptating DNA can be used for distinguishing different kinds of structural alterations in the DNA.

Sometimes a great motion: the application of transient electric birefringence to the study of macromolecular structure

First described in the late 1800s, the phenomenon of electric birefringence is becoming increasingly useful as a probe of the solution conformations of proteins and nucleic acids. The birefringence response to a transient electric field is a sensitive indicator of the rotational motions (and hence the physical dimensions) of macromolecules in solution. Recent advances, both in instrumentation and in the efficient production of high-quality biopolymers, have dramatically increased the sensitivity and range of applicability of the method.

Simulations of the overshoot in the build-up of orientation of long DNA during gel electrophoresis based on a distribution of oscillation times

The periodic extension-contraction motion observed for long DNA molecules undergoing agarose gel electrophoresis in a constant field is believed to be important for the separation mechanism in pulsed field gel electrophoresis. These oscillations give rise to an overshoot and an undershoot in the ensemble orientation of DNA in the beginning of a field pulse, when the molecules oscillate coherently. After approximately one oscillation cycle, the coherence between the molecules is lost, and a constant, cycle-averaged orientation is reached. In this paper we simulate this build-up of the ensemble orientation of DNA by using a distribution of oscillation times (the time between two consecutive compressed conformations) determined by fluorescence microscopy for YOYO-stained DNA. Six different orientation profiles, describing the orientation during one oscillation cycle, were used. The simulated orientation responses are compared with an orientation response measured by linear dichroism (LD) under the same experimental conditions as in the microscopy study. We found that the choice of orientation profile during the oscillation is important. Best agreement between the simulated and the experimental orientation response was obtained for an orientation profile based on a theoretical model by Schurr and Smith (Biopolymers 1990, 29, 1161-1165). The influence of the distribution of oscillation times and its standard deviation on the orientation response was also investigated. Furthermore, simulations at different field strengths and DNA sizes were performed and found to agree quite well with the experimentally obtained LD data.

Pulsed-field electrophoresis in microlithographic arrays

Transverse pulsed-field electrophoresis of DNA has been conducted in a silicon array engineered by optical lithography and the motion of individual molecules observed by fluorescence microscopy. In strong fields, the molecules can be maintained in highly stretched, linear conformations. When the field is switched through an obtuse angle, they head off in the new direction led by what was formerly their tail end. This backtracking gives rise to fractionation that is linear with molecular weight. A simple prescription exists for choosing the field parameters to obtain a particular range of separation. Since the molecular motions are much more uniform than those that occur in a gel, it is anticipated that the arrays will permit more efficient fractionation than traditional pulsed-field gel electrophoresis. Arrays suitably scaled down in size may be useful for pulsed-field sequencing.

Conformational dynamics of DNA during biased sinusoidal field gel electrophoresis

DNA motion during biased sinusoidal field gel electrophoresis around the antiresonance condition was investigated by direct observation using fluorescent microscopy and Brownian dynamics simulation. Time development of the center of mass velocity, vx, and the principal value of the gyration tensor, R1, was measured at this antiresonance condition. The typical stretch-contract motion, which is observed in steady field and at high frequency field, is severely suppressed, and there are two or more dominant kinks that compete with each other. Analysis of the kink motion from the simulation results supports this picture.

Cyclic migration of DNA in gels: DNA stretching and electrophoretic mobility

Available data from spectroscopic and microscopy studies of electrophoretic orientation of long DNA (above 40 kbp) in agarose gels is analyzed on the basis of the fact that the migration in constant fields is cyclic in nature. Defining a cycle period as the time between two consecutive compact states, a simple model is used to obtain data on the average time period (< T >) and the step length (< L >) of the migration cycle from spectroscopic measurements of the dynamics of helix orientation and center-of-mass velocity. Furthermore, the degree of orientation is used to analyze tube-orientation and DNA stretching contributions to < L > and < T >. Finally, the average electrophoretic velocity v = < L >/< T > is analyzed in terms of < L > and < T > for different DNA sizes (Lc), field strengths (E), and gel concentrations (A). The main results of the analysis are: (i) the increase and saturation of the electrophoretic mobility with increasing E is mainly governed by < L > via the degree of DNA stretching, (ii) DNA molecules of different sizes migrate with the same velocity because < L > and < T > both increase approximately linearly with Lc, and (iii) migration in a denser gel is slower mainly because < T > increases, while the step length is approximately constant. Assuming the charge Q of DNA is the same as in free solution, these results suggest that the reason the fundamental reptation equation for the electrophoretic mobility mu = (Q/zeta) < (hx/Lt)2 > also applies in the presence of strong fluctuations in the tube length Lt, and end-to-end distance hx, is that the friction coefficient zeta for motion along the tube is lower the more stretched the DNA is.

Statistical features in the lakes-straits model and the influence of hernias

We evaluate numerically the mobility of DNA chains under field-inversion gel electrophoresis (FIGE) conditions in the framework of the lakes-straits model introduced by Zimm (Phys. Rev. Lett. 1988, 61, 2965-2968; J. Phys. Chem. 1991, 94, 2197-2206). We extend the model by allowing both simple and also multiple-branched hernias; this is achieved by arranging the data structure used in the algorithm so that each fragment in a lake can be treated separately. We show that the existence of hernias allows the probe to migrate faster and that with hernias the mobility minimum in FIGE shifts to smaller field periods. These effects occur only if the electric field is strong enough. We also discuss the influence of the model's parameters on the mobility.

Influence of optical probing with YOYO on the electrophoretic behavior of the DNA molecule

The influence of the fluorescent dye YOYO (1,1'-(4,4,8,8,-tetramethyl- 4,8-diazaundecamethylene)bis[4-[[3-methyl-benzo-1,3-oxazol-2 -yl] methylidene]-1,4-dihydroquinolinium] tetraiodide) on the electrophoretic behavior of the DNA molecule was investigated. This is important when using YOYO as a probe in capillary electrophoresis or in fluorescence microscopy studies of DNA with the purpose of studying the migration mechanism of DNA on the molecular level. We have measured the mobility and orientation dynamics (using the linear dichroism technique) for both pure DNA and the YOYO-DNA complex in agarose gel in order to compare their electrophoretic properties. Mobility decreases, the degree of orientation becomes lower, and the orientational dynamics slower, when YOYO binds to DNA. However, the dependence on field strength of the mobility, orientation and orientational dynamics, are similar for DNA and YOYO-DNA, indicating that the mode of migration does not change significantly upon binding YOYO to DNA. Furthermore, since our results show that the effect of YOYO on both the degree of orientation and orientational dynamics of the DNA can be measured and therefore be compensated for, it can be concluded that YOYO is an excellent optical probe for the study of the migrational behavior of DNA.