PULSED FIELD GEL ELECTROPHORESIS (PFG) |
141 |
Figure 5.9 |
Effect of reorientation time on PFG mobility, predicted from very simple considera- |
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tion of the fraction of each pulse time needed for reorientation |
(striped sections). |
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been used. These can be characterized by two parameters: the pulse time, which is the pe-
riod during which the field direction is constant, and the field strength, during that pulse. In most general modes of PFG, the field strength is always constant. Commonly two
alternate field |
directions are used; |
the net motion of the DNA is |
along the resultant |
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of these two field directions as shown in Figure 5.10 |
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a . The usual angle between the two |
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applied fields is 120° Changes in field direction can be accomplished by switching be- |
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tween pairs (or multiples) of electrodes, by physically rotating the |
electrodes |
relative to |
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the sample, or by physically rotating the sample relative to a fixed pair of electrodes. The |
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applied fields can be homogeneous, in which case the DNA molecules |
will |
move |
in |
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straight paths, or inhomogeneous. In the latter case, where field gradients exist, DNA |
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molecules do not move in straight paths. This makes it more difficult to compute the mo- |
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bility of a sample or to compare, quantitatively, results on samples in different lanes, that |
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is, samples with different starting positions in the gel. However, field inhomogeneities, |
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properly applied, can produce band sharpening because one can create a situation where |
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the leading edge of a zone of DNA is always moving slightly slower |
than |
the |
trailing |
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edge. |
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BOX 5.1 |
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EXAMPLES OF |
PFG FRACTIONATIONS OF |
LARGE |
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DNA MOLECULES |
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The cohesive ends of bacteriophage lambda DNA were discussed in Box 2.3. These allow intramolecular circularization, but at high concentration, linear concatenationization is thermodynamically preferred. (For a quantitative discussion, see Cantor and Schimmel, 1980.) Variants of lambda with different sizes and other viral DNAs with similar cohesive ends are also known. These samples provide sets of molecules with known lengths spaced at regular intervals. Such concatemers are the primary size standards used in most PFG work. An example of what a PFG separation of such molecules looks like is shown in Panel A.
(continued)
142 |
PRINCIPLES OF DNA ELECTROPHORESIS |
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BOX 5.1 |
(Continued) |
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Panel A. Separations of Concatemeric Assemblies of Bacteriophage DNAs |
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An overview of the DNA in a whole microbial genome can be gained by digestion of |
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that genome with a restriction nuclease that has relatively rare recognition sites. This |
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produces |
a set |
of discrete fragments that can be displayed by PFG size fractionation. |
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An estimate of the total genome size can be made reliably by adding the sizes of the |
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fragments. Variations in different strains show up readily as evidenced by the example |
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in Panel B. |
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(continued)
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PULSED FIELD GEL ELECTROPHORESIS (PFG) |
143 |
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BOX 5.1 |
(Continued) |
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Panel B. Separations of Total Restriction Nuclease Digests of Different Strains |
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of Escherichia coli |
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Microorganisms, like yeasts, that contain linear chromosomal DNAs can be analyzed by |
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PFG to yield a molecular karyotype. Any |
major rearrangements of these chromosomes |
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are usually revealed by shifts in the size or number of chromosomes in the patterns of |
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chromosomes that hybridize to a particular DNA probe. Since each chromosome is a ge- |
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netic linkage group (Chapter 6), |
an initial PFG analysis (e.g., the examples shown in |
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Panel C for |
yeasts) provides an instant |
overview of the genetics of an organism and |
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greatly facilitates subsequent gene mapping by pure physical procedures.
(continued)
144 |
PRINCIPLES OF DNA ELECTROPHORESIS |
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BOX 5.1 |
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(Continued) |
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Panel C. Separations of Yeast Chromosomes |
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In part (a), lane 2 is lambda DNA concatemer; lane |
3 is some of the smaller |
S. cere- |
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visial chromosomal DNAs. In part (b), lane 2 is |
S. pombe |
chromosomal DNAs; lane 3 |
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is the largest |
S. cerevisial |
chromosomal DNAs. |
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(a) |
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(b) |
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A number of variants of PFG exist where multiple field directions are used. These are
generally not employed for routine PFG analyses. One convenient |
type of PFG apparatus |
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uses multiple point electrodes, each individually adjusted by a computer-controlled power |
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supply. The |
Poisson equation, ( |
2 |
can be used to compute the electrostatic poten- |
) , |
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tial, , |
in the gel, by recognizing that the free charge, |
, is zero everywhere in the gel, and |
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Figure 5.10 |
Two common experimental arrangements for PFG. |
(a) Field directions that alternate |
120 (a) . (b) FIGE where field directions alternate by 180 |
(a) . |
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PULSED FIELD GEL ELECTROPHORESIS (PFG) |
145 |
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using as boundary conditions the voltages set at the |
electrodes. Then the electrical field, |
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E, at each position in the gel can be calculated as |
E |
grad . This permits a single appa- |
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ratus can be used for multiple field shapes and directions without the need to physically |
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move or rewire numerous electrodes (Fig. 5.11). A popular variant of this approach uses |
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voltages set at individual electrodes to ensure very |
homogeneous field shapes and thus |
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very straight lanes. This version is called the contour-clamped homogeneous electrical |
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fields (CHEF). |
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One version of PFG is basically different. It |
uses 180° angles between the applied |
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fields (Fig. 5.10 |
b ). In this technique, called field inversion gel electrophoresis (FIGE), ei- |
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ther the length of |
the forward and backward pulses must be different |
or their field |
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strengths must be different; otherwise, there will be no net DNA motion at all. FIGE is |
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quite popular because the apparatus needed for it is very simple and because FIGE can |
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achieve very high resolution separations under some conditions. However, the |
effect of |
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DNA size on FIGE mobility is complex, as we will demonstrate, and it is also rather sensitive to overloading by too high sample concentrations.
Figure 5.11 Schematic of a contemporary PFG apparatus in which computer-controlled individual electrodes can be used to generate a variety of field shapes in a single apparatus.
146 PRINCIPLES OF DNA ELECTROPHORESIS
MACROSCOPIC BEHAVIOR OF DNA IN PFG
The results of a large number of systematic studies on DNA mobilities in PFG are summarized in Figures 5.12 through 5.14. The major variables explored have been DNA size, the field strength, the angle between the fields, and the pulse time. Other parameters are also known to be important, such as the gel concentration (and the details of the type of agarose used), the buffer type, the ionic strength, and the temperature. These will not be
considered further. The effect of angle is relatively slight in the range around 120°. However, regular oscillation of homogeneous electrical fields between two sets of parallel
electrodes 90° apart does not produce PFG fractionations. More complex sets of 90° pulses, with varying durations or field strengths, or multiple directions, have been shown
to be effective under some circumstances.
The PFG behavior of DNAs up to about a Mb in size with 120° alternating fields is shown in Figure 5.12 as a function of pulse time. A very simple picture suffices to explain these results, but it begs the question of the details of how DNA moves in a gel. At very long pulse times, the process of reorientation should require an insignificant fraction of each pulse period.
As a result the DNA moves by essentially ordinary electrophoresis, in a zigzag pattern centered along the average of the two field directions. Because ordinary electrophoresis is dominant, there is no net effect of DNA size on mobility; the DNAs are essentially fully oriented almost all the time. At very short pulse times, the field changes direction much more rapidly than the DNA molecules can reorient. They experience a constant net field which is just the vector sum of the two distinct applied fields. They move in response to this net average field by ordinary electrophoresis. Since they become oriented and elon-
gated, their net mobility is size independent and in fact is the same as their mobility at very long pulse times.
At intermediate pulse times, DNA reorientation processes occupy a significant fraction of each pulse period. This leads to a marked decrease in overall electrophoretic mobility. The pulse time at which mobility is a minimum increases roughly linearly with DNA size. Larger DNAs have a progressively broader response to pulse time. The result is that one can find pulse times that afford very good resolution of particular DNA size classes.
Figure 5.12 PFG mobility as a function of pulse time for DNAs of different size, observed using 120° alternate field directions.
MACROSCOPIC BEHAVIOR OF DNA IN PFG |
147 |
Figure 5.13 Dependence of PFG mobility on DNA size, with 120° alternation in field direction.
Resolution is most easily gauged by plotting mobility |
as a function of DNA size for a |
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fixed pulse time. This is illustrated in Figure 5.13. Relatively short DNAs have a mobility |
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that decreases linearly with DNA size. Above a sharp size threshold, the slope of this lin- |
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ear decrease doubles. In this size zone the resolution of PFG is particularly high. At even |
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larger DNA sizes, the mobility of DNA |
becomes size independent. This size |
range is |
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called the |
compression zone. |
The DNAs are |
still |
migrating in |
the gel, but there is no size |
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resolution. The compression zone is useful where, for example, one wishes to purify all |
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DNAs above a certain critical size. From the simple picture of PFG described above, the |
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compression zone should consist of DNAs with sizes too big to reorient during the pulse |
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time. However, the simple picture fails to explain the zone with especially high resolu- |
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tion. Indeed no model of PFG has yet explained this. |
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The dependence of FIGE mobility on DNA size is shown in Figure 5.14. It is dramati- |
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cally different from the behavior seen in ordinary PFG. With FIGE, the mobility of DNA |
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is not a monotonic function of its size. Very large and very small molecules move at com- |
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parable speeds. Molecules with intermediate sizes move slower, and the retardation of the |
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slowest species is quite marked. A simple explanation of FIGE behavior, based on the no- |
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tions |
we |
have explored thus far would |
say that small |
DNAs |
orient rapidly |
with |
each |
ong |
forward pulse and move efficiently. |
Large DNAs are |
never |
disoriented by |
the |
short |
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Figure 5.14 DNA mobility as a function of size in typical FIGE using only a single pulse time.
148 PRINCIPLES OF DNA ELECTROPHORESIS
Figure 5.15 The ratchet model for PFG, proposed by Edwin Southern of Oxford University.
backward pulses; thus they remain oriented and move efficiently during |
the forward |
pulses. Intermediate size DNAs never achieve a configuration that allows efficient motion |
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for an appreciable fraction of the forward pulse cycle. |
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The complex dependence of FIGE mobility on DNA size makes it difficult to use |
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FIGE, at any particular set of conditions, to fingerprint a population of |
different DNA |
sizes. To circumvent this problem, one can progressively vary either the FIGE pulse times |
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or field strengths during the course of an experiment. The use of such programs produces |
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a superposition of a spectrum of FIGE experiments in which an approximate monotonic |
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decrease in DNA mobility with increasing size is restored. |
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Early in the development of PFG, a very simple model was put forth by Southern that |
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effectively explained why 90° angles might be ineffective, and why mobility should decrease linearly with DNA size. This ratchet model of DNA motion in gels is shown in Figure 5.15. In the ratchet model the head of the moving DNA is oriented along the applied field direction. When the field direction is switched, the molecule attempts to reorient by a reptation motion. If this were led by the head, it would require that the chain bend through an acute angle. It would seem easier, instead, for the tail to lead the reorientation, since that would require bending the chain through a much less sharp obtuse angle. This leads to retrograde motion until the entire chain has changed orientation. The ratchet model leads directly to a linear dependence of mobility on DNA size because the mobil-
ity decreases with the length of the retrograde motion. It also justifies the poor perform-
ance of angles 90° and smaller, since these |
eliminate the need for retrograde motion. |
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However, the ratchet model does not easily account |
for FIGE, nor for the zone of en- |
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hanced resolution in PFG. Finally the ratchet model predicts that molecules greater than a |
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specific size will not move |
at all, contrary to the observation that the molecules in the |
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compression zone move, albeit |
slowly. |
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INADEQUACY OF REPTATION MODELS FOR PFG
Three specific observations of macroscopic DNA behavior are very difficult to reconcile
with any type of biased reptation model |
such as the ratchet or simple reorientation |
pic- |
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tures described above. The first of |
these are measurements of the field strength |
depen- |
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dence of PFG mobility, especially |
for |
relatively short DNAs. These showed |
propor- |
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tional to |
E 2 , where |
E |
is the field strength in volts/cm. This behavior clearly reflects a |
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complex mechanism, since |
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must be an odd function of |
E to ensure net motion in a par- |
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ticular field direction, while |
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E 2 is an even function that implies no net migration direction. |
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INADEQUACY OF REPTATION MODELS FOR PFG |
149 |
Figure 5.16 Behavior of DNA in ordinary electrophoresis at high field strengths in dense gels: Mobility, , as a function of molecular weight, M.
The second perplexing observation is DNA trapping. For DNAs with sizes above a particular threshold, at high enough fields no PFG motion could be observed. The threshold size decreased with increasing field strength. This DNA trapping implies more complex DNA-gel interactions than contained in simple reptation models. A final, devastating observation was made in ordinary DNA electrophoresis in high concentration gels at very high field strengths. Here it was observed that, under some conditions, the mobility of DNA was no longer a monotonically decreasing function of DNA size. Instead, at a particular DNA size, a minimum
in mobility is observed, just as in FIGE, even though in these experiments a constant, uniform applied electrical field was employed (Figure 5.16).
Three different approaches have been used to examine in detail the nature of DNA motions in gels under the influence of electrical fields. All of these produced unexpected results, totally inconsistent with simple reptation pictures. This was true, even in ordinary
electrophoresis with constant fields, or pulsed fields in a single direction. Several different groups reported, almost simultaneously, the detection, by UV fluorescence microscopy, of single DNA molecules undergoing gel electrophoresis. In order to do these experiments, the
DNAs were prestained with an intercalating dye like acridine orange or ethidium bromide.
These dyes bind at every |
other |
base pair and increase the overall length |
of the DNA by |
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about |
50%. Studies |
of macroscopic DNA electrophoresis, or PFG, |
with |
and |
without |
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bound |
dyes, indicate that |
there |
is little perturbation of the behavior of |
the |
DNA |
by the |
dyes, except for the predictable consequences of this increase in length.
When observed in the microscope at constant field strength, the motion of DNA molecules was very irregular. In the absence of a field, the molecules were coiled and moderately compact (Figure 5.17). This is expected from random walk models of polymer chain statistics. On application of an electrical field, the molecules elongate, orient, and move parallel to the field. However, the head soon collides with some obstacle in the gel. It stops moving, but the rest of the molecule does not. As a result the elongated chain collapses; the tail may even overtake the head. A very condensed configuration is formed
around the obstacle. |
Eventually |
one |
end |
of |
the |
DNA works free and starts to move, |
pulling some of the |
chain with it. |
If |
the |
DNA |
is |
still attached to the obstacle, both ends |
may pull free, and the result is a very elongated, tethered structure. Finally the motion of one end dominates; the DNA slips free of the obstacle and starts to run as an elongated aligned structure until it impacts on the next obstacle. Thus the DNA spends most of its
time entrapped on obstacles, and the detailed dynamics |
of how it becomes trapped and |
freed dominate the overall electrophoretic behavior. The |
overall motion is very irregular. |
150 PRINCIPLES OF DNA ELECTROPHORESIS
Figure 5.17 DNA behavior in conventional gel electrophoresis as visualized by fluorescence microscopy of individual stained DNA molecules.
There may be DNA sizes where unhooking from obstacles is especially difficult at particular field strengths. This would explain the minimum in ordinary electrophoretic mobility seen macroscopically for certain DNA size ranges at high field strengths in dense gels. When DNA molecules undergoing PFG are viewed by fluorescence microscopy, addi-
tional unexpected behavior is seen (Fig. 5.18). When the field is rotated by 90°, DNA molecules respond to the new direction not by motions of their ends but by herniation at
several internal sites. This produces a series of kinks which start to move in the direction of the new field. These kinks grow and compete. Eventually one dominates, and this becomes the leading edge of the moving DNA. At some subsequent point the hairpin struc-
ture presumably unravels, and the DNA attains full elongation again. Note that this picture is quite at odds with the reptation model where the DNA is supposed to remain in its
tube, except for motions at the ends. It suggests that a tube model is not at all appropriate for DNA in a gel.
The second experimental approach that revealed unexpected complexities of DNA behavior in gels was measurement of bulk electrophoretic orientation by linear dichroism
(LD). Here the absorbance of polarized UV light by DNA in gels in the presence of an electrical field was measured. The base pairs of DNA are the dominant absorber of near-
UV light (wavelengths around 260 nm). As shown in Figure 5.19, the base pairs preferentially absorb light polarized in the plane of the bases. DNA tends to orient in an electrical
field with the helix axis parallel to the field. The LD is defined as
LD A z A y
Figure 5.18 Fluorescence microscopic images of DNA in a gel after a 90° rotation of the electrical field direction. Shown from left to right are successive time points.
