DNA gel electrophoresis: effect of field intensity and agarose concentration on band inversion

We study the effect of electric field intensity and agarose gel concentration on the anomalous electrophoretic mobility recently predicted by the biased reptation model and experimentally observed for linear DNA fragments electrophoresed in continuous electric fields. We show that high fields and low agarose concentrations eliminate the physical mechanism responsible for anomalous DNA mobility and band inversion, in good agreement with theory, thus restoring the monotonic mobility-size relationship necessary for unambiguous interpretation of the results of DNA gel electrophoresis.     

Orientation of DNA molecules in agarose gels by pulsed electric fields

The electric birefringence of DNA restriction fragments of three different sizes, 622, 1426, and 2936 base pairs, imbedded in agarose gels of different concentrations, was measured. The birefringence relaxation times observed in the gels are equal to the values observed in free solution, if the median pore diameter of the gel is larger than the effective hydrodynamic length of the DNA molecule in solution. However, if the median pore diameter is smaller than the apparent hydrodynamic length, the birefringence relaxation times increase markedly, becoming equal to the values expected for the birefringence relaxation of fully stretched DNA molecules. This apparent elongation indicates that end-on migration, or reptation is a likely mechanism for the electrophoresis of large DNA molecules in agarose gels. The relaxation times of the stretched DNA molecules scale with molecular weight (or contour length) as N2.8, in reasonable agreement with reptation theories.     

Orientation of DNA Molecules in Agarose Gels By Pulsed Electric Fields

Abstract

The electric birefringence of DNA restriction fragments of three different sizes, 622,1426, and 2936 base pairs, imbedded in agarose gels of different concentrations, was measured. The birefringence relaxation times observed in the gels are equal to the values observed in free solution, if the median pore diameter of the gel is larger than the effective hydrodynamic length of the DNA molecule in solution. However, if the median pore diameter is smaller than the apparent hydrodynamic length, the birefringence relaxation times increase markedly, becoming equal to the values expected for the birefringence relaxation of fully stretched DNA molecules. This apparent elongation indicates that end-on migration, or reptation is a likely mechanism for the electrophoresis of large DNA molecules in agarose gels. The relaxation times of the stretched DNA molecules scale with molecular weight (or contour length) as N^2.8, in reasonable agreement with reptation theories.     

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.     

Effect of the electric field on the apparent mobility of large DNA fragments in agarose gels

The electrophoresis of a series of DNA fragments ranging in size from 0.5 to 12 kilobase pairs, has been studied as a function of agarose gel concentration and electric field strength. The apparent mobility of all fragments decreased with decreasing electric field strength and with increasing gel concentration. When extrapolated to zero electric field strength and zero agarose concentration, the apparent mobility of all DNA fragments extrapolated to a common value (2.0 ± 0.1) × 10^?4 cm²/V s. The square roots of the retardation coefficients of the various fragments were found to be linearly related to the root-mean-square radii of gyration of the fragments, as predicted by pore-size distribution theory. As predicted by reptation theory, the molecular weights of the various fragments were found to be linearly related to the reciprocal of the apparent mobilities. An equation is given for estimating the apparent pore size of agarose gels between 0.25 and 1.5% in concentration.     

Electrophoresis of DNA in oriented agarose gels

Oriented agarose gels were prepared by applying an electric field to molten agarose while it was solidifying. Immediately afterwards, DNA samples were applied to the gel and electrophoresed in a constant unidirectional electric field. Regardless of whether the orienting field was applied parallel or perpendicular to the eventual direction of electrophoresis, the mobilities of linear and supercoiled DNA molecules were either faster (80% of the time) or slower (20% of the time) than observed in control, unoriented gels run simultaneously. The difference in mobility in the oriented gel (whether faster or slower) usually increased with increasing DNA molecular weight and increasing voltage applied to orient the agarose matrix. In perpendicularly oriented gels linear DNA fragments traveled in lanes skewed toward the side of the gel; supercoiled DNA molecules traveled in straight lanes. If the orienting voltage was applied parallel to the direction of electrophoresis, both linear and supercoiled DNA molecules migrated in straight lanes. These effects were observed in gels cast from different types of agarose, using various agarose concentrations and two different running buffers, and were observed both with and without ethidium bromide incorporated in the gel. Similar results were observed if the agarose was allowed to solidify first, and the orienting electric field was then applied to the gel for several hours before the DNA samples were added and electrophoresed. The results suggest that the agarose matrix can be oriented by electric fields applied to the gel before and probably during electrophoresis, and that orientation of the matrix affects the mobility and direction of migration of DNA molecules. The skewed lanes observed in the perpendicularly oriented gels suggest that pores or channels can be created in the matrix by application of an electric field. The oriented matrix becomes randomized with time, because DNA fragments in oriented and unoriented gels migrated in straight lanes with identical velocities 24 hours later.     

Contour-clamped homogeneous electric field electrophoresis of Staphylococcus aureus

Contour-clamped homogeneous electric field (CHEF) electrophoresis is a technique of pulsed-field gel electrophoresis that enables the resolution of large fragments of DNA that cannot be resolved by conventional gel electrophoresis. The procedure involves the application of controlled electric fields that change direction at a predetermined angle to samples of DNA that have been embedded in an agarose gel matrix and digested with a restriction endonuclease. Adjustment of the electrophoresis conditions enables the separation of DNA fragments with lengths from 10 kilobases up to 9 megabases in a size-dependent manner in agarose gels. The banding patterns can be used for epidemiological typing, the separated DNA can be immobilized onto a membrane and used for genetic mapping, or individual fragments can be extracted and used for downstream genetic manipulations. The protocol requires specialized equipment and can be completed in a maximum of 7 days.     

Transient electric birefringence of agarose gels. I. Unidirectional electric fields

The orientation of agarose gels in pulsed electric fields has been studied by the technique of transient electric birefringence. The unidirectional electric fields ranged from 2 to 20 V/cm in amplitude and 1 to 100 s in duration, values within the range typically used for pulsed field gel electrophoresis (PFGE). Agarose gels varying in concentration from 0.3 to 2.0% agarose were studied. The sign of the birefringence varied randomly from one gel to another, as described previously [J. Stellwagen & N. C. Stellwagen (1989), Nucleic Acids Research, Vol. 17, 1537–1548]. The sign and amplitude of the birefringence also varied randomly at different locations within each gel, indicating that agarose gels contain multiple subdomains that orient independently in the electric field. Three or four relaxation times of alternating sign were observed during the decay of the birefringence. The various relaxation times, which range from 1 to ～ 120 s, can be attributed to hierarchies of aggregates that orient in different directions in the applied electric field. The orienting domains range up to ～ 22 μm in size, depending on the pulsing conditions. The absolute amplitude of the birefringence of the agarose gels increased approximately as the square of the electric field strength. The measured Ker constants are ～ 5 orders of magnitude larger than those observed when short, high-voltage pulses are applied to agarose gels. The increase in the Kerr constants in the low-voltage regime parallels the increase in the relaxation times in low-voltage electric fields. Birefringence saturation saturation curves in both the low- and high-voltage regimes can be fitted by theoretical curves for permanent dipole orientation. The apparent permanent dipole moment increase approximately as the 1.6 power of fiber length, consistent with the presence of overlapping agarose helices in the large fiber bundles orienting in low-voltage electric fields, the optical factor is approximately independent of fiber length. Therefore, the marked increase in the Kerr constants observed in the low-voltage regime is due to the large increase in the electrical orientation factor, which is due in turn to the increased length of the fiber bundles and domains orienting in low-voltage electric fields. Since the size of the fiber bundles and domains approximates the size of the DNA molecules being separated by PFGE, the orientation of the agarose matrix in the applied electric field may facilitate the migration of large DNA molecules during PFGE. © 1994 John Wiley & Sons, Inc.     

Dynamics of single-stranded DNA in polyacrylamide gels during pulsed field gel electrophoresis. A birefringence study

The study of the orientation of single-stranded DNA in polyacrylamide gels in denaturing conditions has been undertaken by electric birefringence in order to determine the mechanism involved in the electrophoretic transport. The presence of an overshoot in the birefringence signal, when applying the electric field, and the study of the influences of the electric field and of the gel concentration on the dynamics show that a mechanism of reptation with elongation of the molecule occurs in polyacrylamide gels with low T values. Therefore it is suggested that the use of pulsed fields in sequencing electrophoresis is possible and can lead to a large increase of the length of the fragments that can be sequenced in one single run.     

Agarose Gel Electrophoresis for the Separation of DNA Fragments

Agarose gel electrophoresis is the most effective way of separating DNA fragments of varying sizes ranging from 100 bp to 25 kb¹. Agarose is isolated from the seaweed genera Gelidium and Gracilaria, and consists of repeated agarobiose (L- and D-galactose) subunits². During gelation, agarose polymers associate non-covalently and form a network of bundles whose pore sizes determine a gel''s molecular sieving properties. The use of agarose gel electrophoresis revolutionized the separation of DNA. Prior to the adoption of agarose gels, DNA was primarily separated using sucrose density gradient centrifugation, which only provided an approximation of size. To separate DNA using agarose gel electrophoresis, the DNA is loaded into pre-cast wells in the gel and a current applied. The phosphate backbone of the DNA (and RNA) molecule is negatively charged, therefore when placed in an electric field, DNA fragments will migrate to the positively charged anode. Because DNA has a uniform mass/charge ratio, DNA molecules are separated by size within an agarose gel in a pattern such that the distance traveled is inversely proportional to the log of its molecular weight³. The leading model for DNA movement through an agarose gel is "biased reptation", whereby the leading edge moves forward and pulls the rest of the molecule along⁴. The rate of migration of a DNA molecule through a gel is determined by the following: 1) size of DNA molecule; 2) agarose concentration; 3) DNA conformation⁵; 4) voltage applied, 5) presence of ethidium bromide, 6) type of agarose and 7) electrophoresis buffer. After separation, the DNA molecules can be visualized under uv light after staining with an appropriate dye. By following this protocol, students should be able to: 1. Understand the mechanism by which DNA fragments are separated within a gel matrix 2. Understand how conformation of the DNA molecule will determine its mobility through a gel matrix 3. Identify an agarose solution of appropriate concentration for their needs 4. Prepare an agarose gel for electrophoresis of DNA samples 5. Set up the gel electrophoresis apparatus and power supply 6. Select an appropriate voltage for the separation of DNA fragments 7. Understand the mechanism by which ethidium bromide allows for the visualization of DNA bands 8. Determine the sizes of separated DNA fragments       

Model and computer simulations of the motion of DNA molecules during pulse field gel electrophoresis

A model is presented for the motion of individual molecules of DNA undergoing pulse field gel electrophoresis (PFGE). The molecule is represented by a chain of charged beads connected by entropic springs, and the gel is represented by a segmented tube surrounding the beads. This model differs from earlier reptation/tube models in that the tube is allowed to leak in certain places and the chain can double over and flow out of the side of the tube in kinks. It is found that these kinks often lead to the formation of U shapes, which are a major source of retardation in PFGE. The results of computer simulations using this model are compared with real DNA experimental results for the following cases: steady field motion as seen in fluorescence microscopy, mobility in steady fields, mobility in transverse field alternation gel electrophoresis (TFAGE), mobility in field inversion gel electrophoresis (FIGE), and linear dichroism (LD) of DNA in agarose gels during PFGE. Good agreement between the simulations and the experimental results is obtained.     

Optimized conditions for pulsed field gel electrophoretic separations of DNA.

Quantitative measurement of DNA migration in gel electrophoresis requires precisely controlled homogeneous electric fields. A new electrophoresis system has allowed us to explore several parameters governing DNA migration during homogeneous field pulsed field gel (PFG) electrophoresis. Migration was measured at different switch times, temperatures, agarose concentrations, and voltage gradients. Conditions which increase DNA velocities permit separation over a wider size range, but reduce resolution. We have also varied the angle between the alternating electric fields. Reorientation angles between 105 degrees and 165 degrees give equivalent resolution, despite significant differences in DNA velocity. Separation of DNA fragments from 50 to greater than 7000 kilobases (Kb) can easily be optimized for speed and resolution based on conditions we describe.     

A systematic study of field inversion gel electrophoresis.

The mobilities of oligomers of phage lambda DNA and of yeast chromosomes in agarose gels during field inversion gel electrophoresis (FIGE) were measured at different pulse times and electric fields. Also the ratios between forward and backward pulse times and/or field gradients were varied. The problem of 'band inversion' during FIGE, leading to an ambiguity in the mobility of large DNA fragments, was solved by using two dimensional gel electrophoresis with different parameters in the first and second dimension. The results are compared with those obtained with other pulsed electrophoresis systems and with a theoretical model.     

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.     

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.     

Scrambling of bands in gel electrophoresis of DNA.

Under certain conditions of agarose gel electrophoresis, larger DNA molecules migrate faster than smaller ones. This anomalous mobility of DNA, which can lead to serious errors in the measurement of DNA fragment lengths, is related to near-zero velocity conformations which can trap DNA chains during electrophoresis. Intermittent electric fields can be used to alter the chain conformations so as to restore the monotonic mobility-size relationship which is necessary for a correct interpretation of the gel. These data are in agreement with the results of a computer simulation based on a theoretical model of electrophoresis.     

Detection of DNA fragmentation and endonucleases in apoptosis

DNA degradation during apoptosis is endonuclease mediated and proceeds through an ordered series of stages commencing with the production of large DNA pieces of 300 kb which are then degraded to fragments of 50 kb. The 50-kb fragments are further degraded, in some but not all cells, to smaller pieces (10-40 kb) releasing the small oligonucleosome fragments that are detected as a characteristic DNA ladder on conventional agarose gels. Methodology is presented for the detection of both DNA ladders and the initial stages of DNA fragmentation using pulsed-field gel electrophoresis. We have developed electrophoresis conditions that resolve large fragments of DNA and also retain the smaller fragments on the same gel. Methods for the detection of endonuclease activities responsible for the cleavage of DNA during apoptosis are also presented.     

Stretching and overstretching of DNA in pulsed field gel electrophoresis. I. A quantitative study from the steady state birefringence decay

Using a sensitive birefringence instrument, the birefringence arising from the orientation of the DNA chain during electrophoretic transport has been recorded. This birefringence is shown to proceed both from the alignment (stretching) of the molecule in the direction of the electric field and from the extension of the length of its primitive path (overstretching). The contribution of these two processes can be separated in the decay of the birefringence after the end of the application of the electric field. The fast relaxation of the overstretching occurs first and is demonstrated to be the main contribution to the birefringence. The orientation factor of the remaining stretched state and its decay can be quantitatively understood using the biased reptation model. It provides, in addition, a high value for the tube diameter or gel pore size a (4500 ± 450 Å for a 0.7% agarose gel with a c^?0.6_g dependence in the agarose concentration c_g) and a low value for the effective charge per base pair (0.2e as compared to 0.5e using the condensation hypothesis). The contribution of overstretching to the birefringence is also quantitatively interpreted in term of the change in the mean length l of DNA inside a pore size a. The dynamics of decay of this overstretching is well represented by a stretched exponential with a stretching exponent α = 0.44. The mean decay time decreases slightly with increasing fields and scales with the overall DNA length close to N²₀. © 1993 John Wiley & Sons, Inc.     

Two methods that facilitate autoradiography of small 32P-labeled DNA fragments following electrophoresis in agarose gels

Two methods which permit detection by autoradiography of small 32P-labeled DNA fragments resolved by agarose gel electrophoresis are described. Agarose gel electrophoresis poses problems for autoradiography as (i) the gels are normally too thick to allow autoradiography without being dried first, and (ii) fragments of DNA of 1000 bp or less in length are readily lost during drying. In this study DNA fragments as small as 121 bp have been retained in agarose gels upon drying. This has been achieved by either (i) first fixing the DNA with the cationic detergent cetyltrimethylammonium bromide, or (ii) drying the agarose gels onto Zeta-Probe charge-modified membranes.     

Simultaneous electroelution and concentration of DNA fragments from agarose gels

A rapid and inexpensive method for the electroelution of DNA fragments from agarose gels is described. DNA fragments were separated by agarose gel electrophoresis and visualized by staining with ethidium bromide. Selected DNA fragments were placed into electroeluter tubes capped with dialysis membrane and electroeluted into a small volume of buffer using a conventional horizontal gel electrophoresis apparatus. The method successfully eluted and concentrated DNA fragments with molecular weights ranging from 2.7 to 13.9 MDa in 3 h.