
Genomics: The Science and Technology Behind the Human Genome Project. |
Charles R. Cantor, Cassandra L. Smith |
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Copyright © 1999 John Wiley & Sons, Inc. |
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ISBNs: 0-471-59908-5 (Hardback); 0-471-22056-6 (Electronic) |
5 Principles of DNA Electrophoresis
PHYSICAL FRACTIONATION OF DNA
The methods we have described thus far all deal with DNA sequences. PCR allows, in principle, the selective isolation of any short DNA sequence. Hybridization allows, in principle, the sequence-specific capture of almost any DNA strand. However, to analyze
the results of these powerful sequence-directed methods, we usually resort to lengthdependent fractionations. There are two reasons for this. Separation of DNAs by length were developed before we had much ability to manipulate DNA sequences. Hence the
methods were familiar and validated, and it was natural to incorporate them into most protocols for using DNAs. Second, our ability to fractionate DNA by length is actually remarkably good. The fact that DNAs are stiff and very highly charged greatly facilitates these fractionations. In this chapter we briefly review DNA fractionations other than electrophoresis. The bulk of the chapter will be spent on trying to integrate the maze of experimental and modeling observations that constitute our present-day knowledge of the principles that underlie DNA electrophoresis. Practical aspects of DNA separations are treated in Boxes 5.1 and 5.2.
SEPARATION OF DNA IN THE ULTRACENTRIFUGE
Velocity or equilibrium ultracentrifugation of DNA represents the only serious alternative to DNA electrophoresis. For certain applications it is a powerful tool. However, for most
applications, the resolution of ultracentrifugation just isn’t high enough to compete with electrophoresis. DNA can be separated by size in the ultracentrifuge by zonal sedimentation. Commonly density gradients of small molecules like sucrose are employed to prevent convection caused by gravitational instabilities. Sucrose gradient sedimentation is tedious because ultracentrifuges typically allow only half a dozen samples to be analyzed
simultaneously. |
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One unique and very useful application |
of the ultracentrifuge to DNA fractionation |
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is the separation of DNA fragments of different base composition by equilibrium den- |
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sity gradient centrifugation. There are |
slight density differences between A–T and |
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G–C base |
pairs. |
These |
densities |
match |
different |
CsCl concentrations. Thus, |
when |
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DNA fragments are subjected to centrifugation in an equilibrium gradient of CsCl, |
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different species will show |
different |
buoyant densities. |
That is, they will concentrate |
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in different regions of the CsCl gradient |
where their density matches that of the bulk |
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fluid. A schematic example is shown in Figure 5.1. Because of these density differences, |
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it is possible to obtain fractions of DNA physically |
isolated on the basis of their |
aver- |
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age base composition. The small intrinsic |
effects of base composition on density can |
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be |
enhanced |
by |
the |
use |
of |
density |
shift |
ligands |
that |
bind differentially |
to A |
T or |
G |
C rich |
DNA. |
This |
allows much |
higher-resolution |
density fractionation |
of |
DNA. |
131

132 PRINCIPLES OF DNA ELECTROPHORESIS
Figure 5.1 |
Schematic illustration of separation |
(from top to bottom of a tube) |
of DNAs of differ- |
ent base composition by density gradient equilibrium ultracentrifugation; |
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is density, Absorbance |
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(A 260) is proportional to DNA concentration. |
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The utility of such preparative methods will be illustrated in Chapter 15, when the biological properties of isochores, specific density fractions of DNA, are discussed.
The other aspect of DNA structure that has been conveniently probed by ultracentrifu-
gation is topological properties. Velocity sedimentation |
can be |
used to |
discriminate |
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among linear DNAs, relaxed circles, and supercoiled circles. Equilibrium density gradient |
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separations are also very powerful for this discrimination because, under the right circum- |
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stances, supercoils will bind very different amounts of intercalating dyes, like ethidium |
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bromide, than bound by relaxed circles or linear duplexes (see Cantor and Schimmel, |
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1980, ch. 24). This leads to large density shifts. Thus such fractionations have played a |
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major role in early studies of DNA topology, and they have served as major tools for the |
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separation of plasmid DNAs key in many recombinant DNA experiments. Once again, |
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however, as the need for dealing |
with very large numbers of samples in parallel grows, |
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these centrifugation methods have to be replaced by others. The capacities of existing |
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centrifuges simply cannot cope with large numbers of DNA samples, and loading and un- |
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loading centrifuges is a procedure that is very difficult to automate efficiently. In addition |
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even the best protocols for DNA size or topology separation |
by ultracentrifugation have |
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far lower resolution than typical electrophoretic methods. |
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ELECTROPHORETIC |
SIZE |
SEPARATIONS |
OF DNA |
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In contemporary methods of DNA analysis, electrophoresis dominates size fractionations |
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for all species from oligonucleotides with a few bases up |
to intact |
chromosomal DNAs |
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with sizes in excess of 10 |
7 bp. Rarely does a single method |
prove to be so powerful |
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across such a broad size range. The size resolution for optimized separations is a single |
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base up to more than 1000 bases for single-stranded DNAs, a few percent in size for dou- |
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ble strands up to about 10 kb, and progressively lower resolution as DNA sizes increase |
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until, for species in excess of 5 Mb, only about 10% size resolution is available. |
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Size |
is |
the |
overwhelming |
factor that determines the separation power of double- |
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stranded DNA electrophoresis. In general, double-stranded DNA fractionations are car- |
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ried out in |
dilute aqueous buffer |
near neutral pH. Base composition |
and base |
sequence |
have almost no effect on the gross separation patterns. There is a significant effect of base

ELECTROPHORESIS WITHOUT GELS |
133 |
Figure 5.2 |
Behavior of highly charged |
molecules in electrophoresis. |
(a) |
Structure of single- |
stranded DNA without denaturants, or in the presence of strong denaturants where charge and fric- |
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tion are both proportional to length. |
(b) Structure of short double-stranded DNA, where charge and |
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friction are both proportional to length. |
(c) Proteins, denatured by SDS, form micelles where charge |
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and friction are both proportional to length. |
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sequence in the special case of sequences that |
lead to pronounced DNA bending. The |
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most common example are AA’s or TT’s spaced at intervals comparable to the helical re- |
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peat distance. When this occurs, the slight bends at each AA are in phase, and the overall |
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structure can be markedly curved. |
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Electrophoretic fractionations of single-stranded DNA are mostly carried out in the |
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presence of strong denaturants such as high temperature or high concentrations of urea or |
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formamide. Under these conditions most of the potential secondary structure of the DNA |
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strands is eliminated, and size dominates the |
electrophoretic separations (Fig. |
5.2 |
a ). |
Sometimes, however, single-stranded DNA electrophoresis is carried out under conditions |
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that allow substantial secondary structure formation. In this case it is the extent of folded |
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structure that tends to dominate the separation |
pattern. We will discuss these cases |
in |
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more detail in Chapter 13 when we describe the single-stranded–conformational polymorphism (SSCP) method of looking for mutations at the DNA level.
ELECTROPHORESIS WITHOUT GELS
Essentially all DNA electrophoresis is carried out within gel matrices. Crosslinked polyacrylamide is used for short single-stranded DNAs, agarose is used for very large doublestranded DNAs, and certain other specialized gel matrices have been optimized for partic-
ular intermediate separations. To understand the key role played by the gel in these separations, it is instructive to consider DNA electrophoresis without gels. The key

134 PRINCIPLES OF DNA ELECTROPHORESIS
parameter measured in electrophoresis is the mobility, field. In one dimension,
. This is the velocity per unit
v E
where the |
velocity, |
v , is measured in cm/s and the |
electric field, |
E, is measured in |
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volts/cm. Double-stranded DNA behaves in electrophoresis as a free-draining coil. This |
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means that each segment of the chain is able to interact with the solvent in a manner es- |
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sentially independent from any of the others. Under these conditions the frictional coeffi- |
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cient of the molecule, |
f, felt by the coil as it moves through the fluid is proportional to the |
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length, |
L , of the coil: |
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f |
L |
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1 |
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DNA has a constant charge per unit length. There is one negative charge for each phos- |
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phate; a significant fraction of this charges is effectively screened by bound counterions, |
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but the net result is still a charge |
Z proportional to |
L (Fig. 5.2b ): |
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Z
2 L
The net steady state velocity in electrophoresis is the result of equal, opposite electrosta-
tic forces accelerating the molecule, |
Z E, |
and frictional forces, |
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fv, retarding the motion. This |
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lets us set |
Z E fv, where |
Z is the net charge on the molecule. It can be rearranged to |
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Z E |
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2 |
L E |
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E |
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v |
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2 |
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f |
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1 |
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1 |
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Thus from simple considerations we are led to the conclusion that the mobility of DNA in electrophoresis should be independent of size. Indeed this prediction was verified by the work of Norman Davidson and his collaborators more than 20 years ago. Electrophoresis
of DNA in free solution fails to achieve any size fractionation at all. Why, then is elec-
trophoresis such a powerful tool in fractionating DNA. The answers will all have to |
lie |
with the ways in which DNA molecules interact with gels under the influence of electrical |
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fields. |
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In passing, it is worth noting that the problem of size-independent electrophoretic mo- |
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bility is not limited to DNA molecules. A common form of protein electrophoresis is the |
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fractionation of proteins denatured by the detergent sodium dodecyl sulphate (SDS). For |
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proteins without disulphide crosslinks, SDS denaturation produces a highly extended pro- |
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tein chain saturated by bound SDS molecules, as shown in Figure 5.2 |
c . This produces a |
tubular micellar structure that superficially resembles a DNA double helix in size |
and |
shape and charge characteristics. SDS-protein micelles have an approximately constant charge per unit length, and they behave as free-draining structures. As a result, like DNA molecules, proteins in SDS show a size-independent electrophoretic mobility in the absence of a gel. The great power of SDS electrophoresis to fractionate proteins also rests in the nature of the interaction of the SDS micelles with the gel. Here, however, the similarities end. The SDS micelles seem to be mostly sieved by the gels; the interaction of DNA with the gels turns out to be much more complex than this.

MOTIONS OF DNA MOLECULES IN GELS |
135 |
Figure 5.3 |
Convective instabilities in electrophoresis. |
(a) Vertical electrophoresis. |
(b) Horizontal |
electrophoresis. |
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Electrophoresis in free solution is not a common technique, for reasons that actually have
little |
to do |
with the above considerations. Almost all electrophoresis is done with gels or |
other |
support |
matrices, even when the molecules involved do not behave as free draining. |
Why use a gel at all under these circumstances? The reason is to prevent convective instabilities. Placement of an electrical field across a conductive solution leads to significant current flow and significant heating. This heating produces nonuniformities in temperature, and convective solvent motion will result from these, much as convection patterns are established if water is heated on the surface of a stove. The presence of bands of dissolved solute mole-
cules leads to regions with local bulk density differences, as illustrated in Figure 5.3. These dense zones are gravitationally unstable. If the electrophoresis is carried out vertically, the dense zone can simply fall through the solution like a droplet of mercury in water. If the electrophoresis is horizontal, any local fluctuations will lead to collapse of the zone as shown in
the figure. Gels are one way to minimize the effects of these gravitational and convective instabilities. Another is to use density gradients generated by high concentrations of uncharged molecules, such as sucrose or glycerol. In practice, however, density gradient electrophoresis is a cumbersome and rarely used technique.
MOTIONS OF DNA MOLECULES IN GELS
It is extremely useful to contrast the effect of a gel on two types of macromolecular separation processes: gel filtration or molecule sieve chromatography, and gel electrophoresis. Both
of these techniques are illustrated schematically in Figure 5.4. In both cases the gel matrix potentially acts as a sieve. In gel filtration, particles of gel matrix are suspended in a bulk fluid phase. Molecules too large to enter the gel matrix see the gel particles as solid objects.

136 PRINCIPLES OF DNA ELECTROPHORESIS
Figure 5.4 |
Motion |
(shown by arrows) |
of molecules in gels. |
(a) Gel filtration (molecular |
sieve |
chromatography) where large molecules elute more rapidly than small molecules. |
(b) |
Gel elec- |
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trophoresis where small molecules migrate more rapidly than large molecules. |
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As bulk liquid flow occurs, these large molecules move through the fluid interstices between
the gel particles. They can find relatively straight paths, and thus their net velocity is rapid. In contrast, smaller molecules can enter the gel matrix. They experience a far larger effective
volume as they |
move through the gel, since they can meander through both the gel matrix |
and the spaces |
between the particles. As a result their net motion is considerably retarded. |
Thus large species elute more rapidly than small species in gel filtration chromatography. |
In typical gel electrophoresis the entire sample is a continuous gel matrix. There is no free volume between gel particles. All molecules must move directly through the gel matrix; thus the pore sizes must be large enough to accommodate this. Generally the gel matrices used have a very wide range of pore sizes. As a result relatively small molecules can move through almost all the pores. They experience the gel matrix as an open network, and they can take relatively straight paths under the influence of the electrical field. In contrast, larger molecules can pass through only a restricted subset of the gel pores. To find this subset, they have to take longer paths. Thus, even though their local velocity is the same as that of the small molecules, their net effective motion in the direction of the field is much slower. This means that small molecules will move much faster than large
ones in gel electrophoresis.
COMPLEX EFFECTS OF GEL STRUCTURE AND BEHAVIOR
The picture described above is the classical view of molecule motions in gels. It successfully explains the behavior of proteins and small DNAs under conditions where sieving
is, in fact, the dominant solute-gel interaction. The details of the gel structure and its in-
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COMPLEX EFFECTS OF GEL STRUCTURE |
AND BEHAVIOR |
137 |
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teraction with the solute are not considered at all. However, for DNA electrophoresis we |
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now know that the details of the gel structure, its behavior, and its interactions with the |
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solute matter considerably. Unfortunately, our current knowledge about the structure of |
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gels, and the ways macromolecules interact with them, is very slight. For example, exper- |
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iments have shown that the gels used for typical DNA separations can respond directly to |
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electrical fields. The result is to change the orientation of gel fibers in order to minimize |
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their interaction energy with the applied field. In general, macroscopic measures of gel |
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fiber orientation show that these direct gel-field effects occur at field strengths higher than |
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those typically employed is most electrophoresis. |
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When DNA is present, applied electrical fields lead to changes in the gel not seen in the |
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absence of DNA. These changes presumably reflect distortion and orientation |
of the gel |
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caused by motion of the DNA and direct gel-DNA interactions. It is not known if DNA has |
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any indirect effect on the interaction between the gel and the electrical field. What is even |
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less clear is whether the effects of DNA electrophoresis through the gel matrix lead to any |
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irreversible changes in the gel |
structure. Certainly the overall forces of interaction between |
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a highly charged macromolecule and an obstructive stationary phase could be considerable. |
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We know that gels |
can usually not be reused more than a few times for |
electrophoresis |
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without a serious degradation in their performance. This is attributed to some breakdown in |
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necessary gel properties. How much of this is due to electrochemical attack on the gel ma- |
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trix, and how much to DNA-mediated damage, remains unknown. |
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The buffer system used to cast the gel, and used in the actual gel electrophoresis itself, |
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matters a great deal. For example, agarose gels cast or run in Tris (trihydroxymethyl- |
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aminomethane) acetate and Tris borate behave very differently. This is believed to reflect |
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the direct interaction of borate ion with cis hydroxyls on the agarose fibers. Finally the |
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specific monomers and crosslinkers used in gels, like polyacrylamide, |
can have a pro- |
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found effect on gel running speed, resolution, and the ability of the gel to discriminate un- |
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usual DNA structures. For simplicity, we will ignore all of these complications in the dis- |
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cussion that follows. |
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In general, polyacrylamide-like matrices are used for small, single-stranded DNAs in |
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the size range of 1 to 2 kb. They are also used for small double-stranded DNAs. Agaroses, |
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with much larger pores, are used for larger double-stranded DNAs, ranging from 1 kb to |
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more than 10 Mb in size. These gel systems were not specifically designed to handle nu- |
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cleic acids, and there is no particular reason to think that they are anywhere optimal for |
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these materials. However, some alternative materials are clearly undesirable for DNA sep- |
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arations because they cannot be made sufficiently free of nucleases or |
because they |
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demonstrate nonspecific adsorption of DNA molecules. |
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The ultimate solution for DNA separations may be to use micro-fabricated separation |
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matrices. Here one uses techniques like microlithography to manufacture a custom- |
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designed surface or |
volume containing specific |
obstacles to modulate DNA |
movement |
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and prevent gross convection. Robert Austin at Princeton University has recently demon- |
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strated the electrophoresis of DNA on a microlithographic array. He constructed a regular |
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array of posts spaced |
at 1- |
intervals, sticking up from |
a planer surface. In the presence |
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of an electrical field, DNAs in solution move through these posts (Fig. 5.5). The much |
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larger DNA molecules tend to get hooked on the posts; they eventually are pulled off and |
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net motion through |
the array |
continues. This |
carefully controlled situation appears |
to |
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mimic a number of key features of DNA electrophoresis in natural gels, as will soon be demonstrated. Whether such a regular array can actually outperform the separation characteristics of natural gels remains to be seen.

138 PRINCIPLES OF DNA ELECTROPHORESIS
Figure 5.5 Example of DNA behavior seen during electrophoresis of DNA molecules on a microlithographic array of posts.
BIASED REPTATION MODEL OF DNA BEHAVIOR IN GELS
A typical DNA molecule in a polyacrylamide or agarose gel will extend across tens to thousands of discrete pores or channels. The notion of treating this as a simple sieving problem clearly makes no sense. A number of groups including Lumpkin and Zimm, Slater and Noolandi, and Lerman and Frisch, have adapted the models of condensed poly-
mer phases originally developed by Pierre DeGennes to explain DNA gel electrophoresis.
DeGennes coined the term |
reptation |
to explain how a polymer diffuses through a con- |
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densed polymer solution or a gel. The gel defines a tube in which a particular DNA mole- |
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cule slithers (Fig. 5.6 |
a ). Diffusion of DNA in the tube is restricted to sliding forward or |
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backward. A net motion in either direction means that the head or |
tail of the DNA has en- |
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tered a new channel of the pore network, and the remainder of the |
molecule has followed. |
Figure 5.6 |
Behavior of DNA in gels according to |
the reptation |
model. |
(a) The path in the gel de- |
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fines a tube. |
(b) With |
no field, motion of the head |
(or tail) of the DNA occurs by random diffusion. |
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(c) With an electrical field, |
the direction chosen by the head is biased. |
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BIASED REPTATION MODEL |
OF DNA BEHAVIOR IN |
GELS |
139 |
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This redefines the tube. The model has the DNA behaving much in the same way as a |
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snake in a burrow; hence the term reptation from the word reptile. |
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In polymer diffusion, when the head of the chain emerges from |
its |
tube, it makes |
a |
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random choice from among the pores available to it (Fig. 5.6 |
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b ). The elegant |
simplifica- |
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tion offered by the reptation model is that to explain DNA motion, |
one need only con- |
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sider what is happening at the head and the tail. The remainder of the complex network of |
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pores, and the detailed configuration of the DNA (except for the overall length of |
the |
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tube) can be ignored. Indeed this model works very well to explain polymer diffusion in |
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condensed phases. To adapt the reptation model to electrophoresis, it |
was |
proposed that |
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the influence of the electrical |
field biases the choice of pores made by |
the head of the |
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DNA molecule (Fig. 5.6 |
c ). In this biased reptation model, one only needs to consider the |
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detailed effect of the field on the head; the remainder of the chain follows, and its interaction with the gel and the field can be modeled in a simple way that does not require
knowledge of the detailed configuration of the DNA or the gel pores. |
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The biased reptation model makes the |
following predictions: |
For |
relatively |
small |
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DNAs (small for a particular combination |
of field strength and |
gel |
matrix), |
diffusion |
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tends to balance out most of the effects of the applied field. The DNA molecule retains a |
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chain configuration that is highly coiled, and the ends have a wide |
choice of |
pores. For |
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much larger DNAs, the electrical field dominates over random diffusion. The molecule |
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becomes highly elongated and highly oriented. The ends have a relatively small choice of |
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pores, and there is more frictional interaction between the DNA and the pores. The pre- |
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dicted result of this on electrophoretic behavior is shown in Figure 5.7. Most experiments |
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conform very well to this prediction. At a given field strength, up to some critical DNA |
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length, the mobility drops progressively with DNA size. However, once a point is reached |
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where the DNAs are fully oriented, they all move at the same speed. For typical agarose |
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gel electrophoresis conditions, this plateau occurs at around 10 kb. Fully oriented mole- |
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cules in gels display a constant charge and friction per unit |
length; |
thus |
their elec- |
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trophoretic mobility is size independent. |
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Early attempts to circumvent the problems of DNA orientation and the resultant loss in electrophoretic resolution above a size threshold were not very successful. Lowering the field strength increased the separation range but at the great cost of much longer experimental running times. Lowering the gel concentration increased pore size and allowed larger molecules to be handled, but the resulting gels were extremely difficult to use because of their softness and fragility.
Figure 5.7 Dependence of electrophoretic mobility on DNA length predicted by the biased reptation model and observed under ordinary gel electrophoretic conditions.

140 |
PRINCIPLES OF DNA |
ELECTROPHORESIS |
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PULSED |
FIELD GEL ELECTROPHORESIS |
(PFG) |
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A totally new method for electrophoresis, PFG, was originally conceived as a way to cir- |
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cumvent the limitations on ordinary gel |
electrophoresis caused by DNA orientation. |
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However, PFG has had a much broader impact because, as attempts to unravel the mecha- |
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nism of this technique have progressed, they |
have revealed that the fundamental picture |
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of DNA electrophoresis offered by the biased reptation model is totally inadequate, even |
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for ordinary electrophoresis. The original |
rationale for PFG is shown in Figure 5.8. |
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Imagine DNA molecules moving in a gel, fully elongated and oriented in response to the |
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field. Suppose that the field direction is suddenly switched. After a while the DNA mole- |
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cules will find themselves moving in the |
new field direction and fully oriented once |
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again. However, to achieve this, they have to reorient, and this presumably requires pass- |
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ing through an intermediate state where the molecules are less elongated. Without consid- |
ering the detailed mechanism of this reorientation (which is still unknown), it seems intu-
itively reasonable to guess that larger DNA molecules |
will take longer to reorient than |
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smaller |
ones. |
Therefore, |
if |
periodically |
alternating |
field directions |
were |
used, larger |
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DNAs |
should display slower |
net motion than smaller |
ones. This is because they will |
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spend |
a |
larger |
percentage of |
each field |
cycle in |
reorientation, without |
much |
productive |
net motion (Fig. 5.9). Some examples of the power of PFG to separate large DNA molecules are illustrated in Box 5.1.
In retrospect, it is not surprising that PFG enhanced the ability to separate larger DNAs. It is still surprising that the effect is so dramatic. The first PFG experiments
demonstrated the ability to resolve, easily, DNA molecules |
up |
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to |
1 |
Mb |
in size. |
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Subsequent refinements have |
pushed these limits a factor of ten |
or |
more |
higher. Thus |
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PFG has expanded the domain |
of useful electrophoretic separations |
of |
DNA |
by |
a factor |
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of 100 to 1000. We still are not completely sure why. |
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There are countless variations on the type of PFG apparatus used, and the details of the |
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electrical field directions employed. With rare exceptions, square |
wave |
field |
pulses |
have |
Figure 5.8 Original rationale for the development of pulsed field gel electrophoresis. The notion was that longer molecules would reorient more slowly in the gel in response to a change in electri-
cal field direction.