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PULSED FIELD GEL ELECTROPHORESIS (PFG)

141

Figure 5.9

Effect of reorientation time on PFG mobility, predicted from very simple considera-

tion of the fraction of each pulse time needed for reorientation

(striped sections).

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

of these two field directions as shown in Figure 5.10

 

a . The usual angle between the two

applied fields is 120° Changes in field direction can be accomplished by switching be-

tween pairs (or multiples) of electrodes, by physically rotating the

electrodes

relative to

the sample, or by physically rotating the sample relative to a fixed pair of electrodes. The

applied fields can be homogeneous, in which case the DNA molecules

will

move

in

straight paths, or inhomogeneous. In the latter case, where field gradients exist, DNA

molecules do not move in straight paths. This makes it more difficult to compute the mo-

bility of a sample or to compare, quantitatively, results on samples in different lanes, that

is, samples with different starting positions in the gel. However, field inhomogeneities,

properly applied, can produce band sharpening because one can create a situation where

the leading edge of a zone of DNA is always moving slightly slower

than

the

trailing

edge.

 

 

 

 

 

 

 

 

 

 

 

 

 

BOX 5.1

 

 

 

 

 

 

EXAMPLES OF

PFG FRACTIONATIONS OF

LARGE

 

 

 

 

DNA MOLECULES

 

 

 

 

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

 

 

 

 

 

 

BOX 5.1

(Continued)

 

Panel A. Separations of Concatemeric Assemblies of Bacteriophage DNAs

 

An overview of the DNA in a whole microbial genome can be gained by digestion of

 

that genome with a restriction nuclease that has relatively rare recognition sites. This

 

produces

a set

of discrete fragments that can be displayed by PFG size fractionation.

 

An estimate of the total genome size can be made reliably by adding the sizes of the

 

fragments. Variations in different strains show up readily as evidenced by the example

 

in Panel B.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(continued)

 

 

PULSED FIELD GEL ELECTROPHORESIS (PFG)

143

 

 

 

 

BOX 5.1

(Continued)

 

 

Panel B. Separations of Total Restriction Nuclease Digests of Different Strains

 

of Escherichia coli

 

 

Microorganisms, like yeasts, that contain linear chromosomal DNAs can be analyzed by

 

PFG to yield a molecular karyotype. Any

major rearrangements of these chromosomes

 

are usually revealed by shifts in the size or number of chromosomes in the patterns of

 

chromosomes that hybridize to a particular DNA probe. Since each chromosome is a ge-

 

netic linkage group (Chapter 6),

an initial PFG analysis (e.g., the examples shown in

 

Panel C for

yeasts) provides an instant

overview of the genetics of an organism and

 

greatly facilitates subsequent gene mapping by pure physical procedures.

(continued)

144

PRINCIPLES OF DNA ELECTROPHORESIS

 

 

 

 

 

 

 

 

BOX 5.1

 

(Continued)

 

 

 

Panel C. Separations of Yeast Chromosomes

 

 

In part (a), lane 2 is lambda DNA concatemer; lane

3 is some of the smaller

S. cere-

visial chromosomal DNAs. In part (b), lane 2 is

S. pombe

chromosomal DNAs; lane 3

is the largest

S. cerevisial

chromosomal DNAs.

 

 

 

 

(a)

 

(b)

 

 

 

 

 

 

 

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

uses multiple point electrodes, each individually adjusted by a computer-controlled power

supply. The

Poisson equation, (

2

can be used to compute the electrostatic poten-

) ,

tial, ,

in the gel, by recognizing that the free charge,

, is zero everywhere in the gel, and

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) .

 

 

PULSED FIELD GEL ELECTROPHORESIS (PFG)

145

using as boundary conditions the voltages set at the

electrodes. Then the electrical field,

 

E, at each position in the gel can be calculated as

E

grad . This permits a single appa-

 

ratus can be used for multiple field shapes and directions without the need to physically

 

move or rewire numerous electrodes (Fig. 5.11). A popular variant of this approach uses

 

voltages set at individual electrodes to ensure very

homogeneous field shapes and thus

 

very straight lanes. This version is called the contour-clamped homogeneous electrical

 

fields (CHEF).

 

 

 

 

One version of PFG is basically different. It

uses 180° angles between the applied

 

fields (Fig. 5.10

b ). In this technique, called field inversion gel electrophoresis (FIGE), ei-

 

ther the length of

the forward and backward pulses must be different

or their field

 

strengths must be different; otherwise, there will be no net DNA motion at all. FIGE is

 

quite popular because the apparatus needed for it is very simple and because FIGE can

 

achieve very high resolution separations under some conditions. However, the

effect of

 

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

fixed pulse time. This is illustrated in Figure 5.13. Relatively short DNAs have a mobility

that decreases linearly with DNA size. Above a sharp size threshold, the slope of this lin-

ear decrease doubles. In this size zone the resolution of PFG is particularly high. At even

larger DNA sizes, the mobility of DNA

becomes size independent. This size

range is

called the

compression zone.

The DNAs are

still

migrating in

the gel, but there is no size

resolution. The compression zone is useful where, for example, one wishes to purify all

DNAs above a certain critical size. From the simple picture of PFG described above, the

compression zone should consist of DNAs with sizes too big to reorient during the pulse

time. However, the simple picture fails to explain the zone with especially high resolu-

tion. Indeed no model of PFG has yet explained this.

 

 

 

 

The dependence of FIGE mobility on DNA size is shown in Figure 5.14. It is dramati-

cally different from the behavior seen in ordinary PFG. With FIGE, the mobility of DNA

is not a monotonic function of its size. Very large and very small molecules move at com-

parable speeds. Molecules with intermediate sizes move slower, and the retardation of the

slowest species is quite marked. A simple explanation of FIGE behavior, based on the no-

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

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

for an appreciable fraction of the forward pulse cycle.

 

The complex dependence of FIGE mobility on DNA size makes it difficult to use

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

or field strengths during the course of an experiment. The use of such programs produces

a superposition of a spectrum of FIGE experiments in which an approximate monotonic

decrease in DNA mobility with increasing size is restored.

 

Early in the development of PFG, a very simple model was put forth by Southern that

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.

However, the ratchet model does not easily account

for FIGE, nor for the zone of en-

hanced resolution in PFG. Finally the ratchet model predicts that molecules greater than a

specific size will not move

at all, contrary to the observation that the molecules in the

compression zone move, albeit

slowly.

 

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-

tures described above. The first of

these are measurements of the field strength

depen-

dence of PFG mobility, especially

for

relatively short DNAs. These showed

propor-

tional to

E 2 , where

E

is the field strength in volts/cm. This behavior clearly reflects a

complex mechanism, since

 

 

must be an odd function of

E to ensure net motion in a par-

ticular field direction, while

 

 

E 2 is an even function that implies no net migration direction.

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

about

50%. Studies

of macroscopic DNA electrophoresis, or PFG,

with

and

without

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.

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