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* Department of Physics and
Center for Interdisciplinary Research on Complex Systems, Northeastern University, Boston, Massachusetts 02115; and
Department of Biochemistry and Molecular Biology, Mayo Clinic College of Medicine, Rochester, Minnesota 55905
Correspondence: Address reprint requests to Mark C. Williams, E-mail: mark{at}neu.edu.
| ABSTRACT |
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| INTRODUCTION |
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HMG proteins are divided into several major classes that are characterized by protein structure and their degree of DNA sequence specificity; for example, those containing an AT hook, one or more HMG boxes, or particular nucleosome binding properties (2
,6
,7
). The HMGB protein studied in this work is an isolated domain known as HMG box A (
80 residues) derived from human HMGB2. The structure of an HMG box is shown in Fig. 1 a (8
). The domain is composed of three helices and a tail, and is stabilized by hydrophobic interactions between neighboring residues. The N-terminal tail is highly variable and may or may not interact with DNA depending on the particular HMGB protein studied (1
,9
). In the case of yeast NHP6Ap, the N-terminal tail is highly basic and lies in the compressed major groove of the complex (10
). The remaining two helices are known to bind against the minor groove, with hydrophobic side chains from amino acids at one or both of two specific positions intercalating between basepairs, untwisting the duplex, and producing a strong bend in the backbone toward the major groove, as shown in the HMGB domain of Fig. 1 b (8
,9
,11
13
). The angle of this bend has been reported over a wide range from 30 to 130°, though values between 70 and 90° are typical for a domain with a single HMG box (11
,14
17
). The propensity of HMG proteins to bend DNA implies their affinity for unusual structures containing bent DNA, such as cruciforms (18
) and chemically cross-linked DNA (19
). It has been reported that the box A domain of HMGB2 studied here is actually a relatively weak DNA bending protein compared to box B or to intact HMGB proteins containing two consecutive HMG boxes (12
). DNA bending potential is thought to reflect, in part, the pattern of intercalating hydrophobic residues along the
-helices that interacts with DNA.
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When mixed with naked DNA, HMGB proteins can substitute for the bacterial HU protein in their ability to facilitate the formation of nucleoprotein complexes requiring small DNA loops (30
). When added to naked DNA fragments that are too short and inflexible for cyclization, HMG proteins enhance unimolecular ligation into small circles (30
,31
). These results suggest that HMG proteins can profoundly alter the apparent flexibility of naked DNA in dilute solutions. The mechanism of this DNA flexibility enhancement by HMG proteins is unknown. One simple model (28
,31
) is that HMG proteins randomly bind to DNA, introducing transient kinks of random direction into the polymer. This process provides an ensemble of new DNA shapes that are, on average, more compact than molecules in the initial DNA population, though no individual molecule is actually more flexible. Compact shapes that, by chance, favor particular nucleoprotein structures in biological systems are then captured by other proteins and stabilized.
Alternative models for HMGB enhancement of apparent DNA flexibility might be imagined. It is possible that HMGB protein binding introduces an actual locus of enhanced DNA flexibility, such that individual DNA molecules are altered in their intrinsic flexibility by protein binding, as seen in recent experiments on the Escherichia coli HU protein (32
). Enhanced flexibility might facilitate the binding of other proteins and DNA looping for transcription activation. In contrast to the previous model, these flexible hinges need not unbind easily. Finally, HMGB proteins may bind cooperatively creating a rigid filament around the dsDNA molecule, as was also seen with HU (32
). This work sheds light on these fundamental mechanistic models of DNA flexibility enhancement by sequence nonspecific HMGB proteins.
In the optical tweezers experiments reported here, biotin-labeled DNA is stretched between two streptavidin coated beads. As the force is increased, the structural parameters of the DNA double helix are revealed, including the free energy of the basepair interaction. Such experiments have been performed with DNA in varying concentrations of salt (33
36
). Repeating the experiment in the presence of varying concentrations of HMG protein and fitting the force extension curves to polymer elasticity models allows quantitative characterization of the protein-DNA interaction. Experiments performed at high forces capable of denaturing DNA also allow us to examine a separate cooperative binding mode, in which protein-DNA filaments are formed.
| MATERIALS AND METHODS |
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200 mW of near-infrared, vertically polarized continuous wave light (JDS Uniphase, San Jose, CA), are convergently directed using high-efficiency polarizing beam-splitting cubes (Melles Griot, Carlsbad, CA). The beams are focused to a diameter of
1 µm using 60x water immersion objectives (Nikon, Tokyo, Japan). The focus of each counter propagating beam overlaps in a flow cell, forming the optical trap. As the beams leave the trap, the polarization, now horizontal, allows another beam-splitting cube to direct the light into a lateral effect detector (Melles Griot). These diodes determine any deflection of each beam to within a few microns. The white light sources and the charge-coupled device cameras provide simultaneous images of the tip and the beams.
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DNA (
48,000 basepairs, biotin labeled on each 3' terminus), is introduced into the cell allowing DNA attachment between the beads. The DNA solution consists of 10 mM Hepes, pH 7.5, and Na+ ions at either 50 or 100 mM. The micropipette tip, mounted on a piezoelectric stage (Melles Griot), may be moved, causing the DNA to stretch between the two beads. As the force on the DNA increases, the bead in the optical trap is displaced, generating a beam deflection that may be determined on the lateral effect detectors and recorded on custom-built software.
A recombinant plasmid encoding 91 amino acids of HMG box A derived from human HMGB2 was kindly provided by P. Sharp (MIT, Cambridge, MA). The encoded recombinant protein: (MGSSHHHHHHSSGLVPRGSHMLEDPGKGDPNKPRGKMSSYAFFVQTCREEHKKKHPDSSVNFAEFSKKCSERWKTMSAKEKSKFEDMAKSDKARYDREMKNYVPPKGDKKGKKKDP) includes a 25-amino-acid leader segment (italics) containing a hexahistidine tag. Examination of structural data for HMGB/DNA complexes shows that the amino-terminal location of the His6 tag and leader is far from the protein/DNA interface. Furthermore, this His6 leader segment is in a location that is highly variable between different HMGB proteins and not thought to fundamentally alter interactions between the conserved HMG box and DNA unless very positively charged. Protein was expressed in bacterial strain BL21(DE3) containing plasmid pLysE. Sonicated bacterial extracts in native lysis buffer were incubated with nickel chelate resin. After binding, the resin was washed and His-tagged HMG proteins were eluted with a buffer containing imidazole. A typical analysis of eluted protein fractions by denaturing SDS polyacrylamide gel electrophoresis is shown in Fig. 1 c. Eluted protein was dialyzed into a buffer containing 20 mM Tris-HCl, pH 7.5, 50 mM KCl, 5% glycerol, and 5 mM dithiothreitol, and stored frozen at 80°C. Prior to the experiment, the HMG stock solutions are diluted
1000-fold into 10 mM HEPES buffer (pH 7.5) with NaCl at 50 or 100 mM as described above.
Data analysis
The worm-like chain (WLC) model describes an elastic polymer with a fixed dihedral bond angle. This formalism has proven successful in characterizing the properties of double-stranded DNA (dsDNA) force-extension data below the overstretching transition. The high-force limit solution for the WLC that includes an elastic correction is described by (35
,37
):
![]() | (1) |
Here the extension per basepair, bds, is the contour length, while Pds is the persistence length, and Kds is the elastic modulus. Typical measured values for dsDNA are bss = 0.34 nm, Pss = 48 nm, and Kss = 1200 pN, though there are known dependencies upon salt concentration and pH (35
,38
,39
).
The extensible freely joined chain model that fits the data of single-stranded DNA (ssDNA) also describes an elastic polymer, but with a varying bond angle. The solution assumes the form (40
)
![]() | (2) |
| RESULTS AND DISCUSSION |
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150 pN applied force (35
HMG effects on DNA
The data of Figs. 3 and 4 show the stretching curves for DNA in different concentrations of protein solution containing the isolated box A of HMGB2. As the protein is added, the persistence length decreases while the contour length increases. These changes are attributed to the intercalation mode described above (8
,9
,11
), as discussed in the Introduction. An additional binding mode is described below.
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2 routine (46
2 with respect to each parameter. The upper force limit to the fit is
45 pN, to ensure that cooperative DNA melting has not begun, yet to collect enough information to determine the elastic response (see below). Fits to the averaged data described above are shown as the solid lines to the data in Figs. 3 b and 4 b.
Though this equation may fit force-extension data, in practice the solution is often multivalued. In particular, the addition of the elastic modulus to the model is approximate at high forces (>10 pN). Various theories have been proposed to simplify the relationship, by making Pds and Kds proportional (36
), and including screened charges of DNA (35
,48
). Such measures, although valid for isolated DNA, cannot be considered in the description of the HMG-DNA complex. Others have described DNA-protein binding complexes (49
,50
), though only for low force. Yet another correction includes improvements to the WLC model utilizing a polynomial expansion in the force (51
). These improvements suggested that the persistence length in particular is underestimated in the approximate WLC expression. We have utilized these expansions in our fits and found no change within uncertainty for the resulting parameters for HMGDNA complexes. Additionally, we have performed fits using a cutoff force of only 10 pN, and eliminating to elastic modulus term in the WLC model. Once again, the results for the remaining parameters are within the uncertainties of our high-force limit fits. Though the elastic correction is approximate, and leads to large errors in that parameter (see below), the protein does appear to have a strong and quantifiable effect upon the curvature and contour length of the DNA.
Force-extension curves were collected for a range of protein concentrations up to 8 nM HMGB in 50 and 100 mM Na+. A protein solution of 2 mL is flown through the cell, which represents
10x the flow cell volume, effectively ensuring that the desired final concentration is present in the cell. Above this protein concentration, an additional binding mode was observed, which will be described in another section. Generally the stretching curves were fit individually, and the resulting parameters were averaged. This yields the same results as the fits to the average, as described for Figs. 3 and 4, yet allows us to weight the parameter uncertainties for noisier fits. Additionally, the fits allow corrections to the baseline to be determined, as the instrument will drift over the course of longer experiments. To confirm any drift, as well as the long-term time dependence of any binding, the time courses of several experiments were varied, to separate real increases in the low-force data from instrument drift. These experiments yielded consistent results for the low-force data of high-protein concentration DNAHMG complexes.
HMGDNA binding in the flexible hinge model
The results of curve fitting the worm-like chain model for the persistence length are shown in Fig. 5. The persistence length of bare DNA was determined to be 45 ± 3 nm, with a slight difference between 50 and 100 mM Na+ buffer (43 ± 2 nm and 46 ± 2 nm, respectively). This agrees well with the previously measured values of 46 ± 2 nm in 50 mM Na+ and 47 ± 2 nm in 100 mM Na+ (35
). At even relatively low HMGB protein concentrations, the persistence length decreases rapidly, though a significant difference appears between dsDNA in different salt concentrations. Binding saturates at high-protein concentrations and the data converge somewhat as the persistence length decreases to 3.2 ± 1.2 nm (50 mM Na+) and to 5.9 ± 1.3 nm (100 mM Na+). We propose that in the lower salt concentration (50 mM Na+), the effect due to binding DNA is nearly complete in 4 nM HMG, and the persistence length is determined by the length of the DNA/HMG intercalated structure. Fits to the concentration dependence of the persistence length are described below.
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Concentration dependence of the persistence length and the induced bending angle
The concentration dependence of the persistence length may yield parameters for the DNA-protein interaction. The measured persistence length that is fit to the worm-like chain model of Eq. 1, P, is the harmonic sum of the persistence length of the protein-bound DNA, PPR, and the unbound DNA, PDNA (54
);
![]() | (3) |
Here
is the binding site occupancy, and ranges from zero to one. This occupancy and the protein concentration are related by the McGhee and von Hippel protein-DNA binding isotherm (55
):
![]() | (4) |
Fits to data are shown in Fig. 5, where the solid curve is the fit in 100 mM Na+ and the dashed line is in 50 mM Na+. From these fits, we determine the binding site size, n, to be 5 ± 1 basepairs (bp) and 6 ± 1 bp in 50 and 100 mM Na+, respectively. This compares favorably with previous estimates of 7 bp for HMGD (56
). Additionally, the binding constant, K, was determined to be (2.2 ± 1.1) x 107 M1 and (9 ± 4) x 106 M1 in 50 and 100 mM Na+. These results match up well against a value of 2 x 107 M1 for HMGD, obtained with circularization assays in 100 mM Na+ (56
). Note that K cannot be simply read from Fig. 5 because the fractional binding is not directly proportional to the persistence length, but is instead given by Eq. 3. Finally, the protein-induced persistence length, PPR, was found to be (1.0 ± 0.3) nm and (2.1 ± 0.6) nm in 50 and 100 mM Na+. Thus, the persistence length of protein-bound dsDNA appears to approach the persistence length of ssDNA. The value for PPR should approach the saturated values for P determined in the previous section, as indicated by Eq. 3 in the case
= 1. However, though the high concentration data of Figs. 5, 6, and 7 would appear to be saturated, this is not the case. Furthermore, these values have been observed to remain unchanged over several hours, in contrast to the growth of a second binding mode, mentioned below. Unfortunately, data at higher concentrations, where the fits predict
= 1, show only this second mode, and reveal no hinge binding. The minimum persistence length actually observed in our experiments is 3.2 ± 1.2 nm in 50 mM Na+ and to 5.9 ± 1.3 nm in 100 mM Na+.
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![]() | (5) |
HMGDNA binding affinity and the flexible hinge
Fig. 8 a shows the stretching (solid) and relaxation (dotted) curves for DNA and DNAHMG complexes in 50 mM Na+. The additional curve in Fig. 8 a reflects dsDNA that has been exposed to a 4-nM solution of HMGB protein, then rinsed with buffer that contains no protein, for at least 2 mL, or 10x the flow cell volume. Furthermore, as the overstretching region was reached, the flow of buffer was restored. In addition to providing an extra 20 pN force, this should remove any unbound protein from the region of the DNA, and prevent any subsequent rebinding. We hypothesized that the resulting curve should resemble the extension curve for naked DNA. However, the subsequent force extension curve demonstrates that the protein remains bound, even when the saturated DNA/HMG complex is subjected to nearly 200 pN. Additionally, the resistance of the bound DNA to breakage has increased significantly in the presence of HMG protein, exceeding the 150-pN limit at which the two ssDNA strands normally separate (observed previously in Fig. 2 b). Thus HMG appears to stabilize DNA. Additionally, the protein solution curve (blue) shows little hysteresis upon relaxation, indicating normal reannealing of the bases between the protein binding sites, indicating no single DNA strand binding, and showing that both binding modes persist after DNA is stretched. The hysteresis observed in the relaxation of the rinsed curve (green) is probably due to melting and subsequent slow cooperative reannealing of the DNA in the HMG-bound regions.
Lower concentrations of HMGB protein may be unbound from dsDNA in 100 mM Na+, as shown in Fig. 8 b. At higher force, however, the curves peak in the overstretching regions for 1 and 2 nM HMG protein. These events appear to reflect protein unbinding, though some protein appears to remain, as the binding appears to remain upon subsequent stretches (not shown). Note that there is still no hysteresis for the relaxation curves. In addition to the application of high force, the DNA may be rinsed with buffer to wash away unbound protein. The subsequent force-extension curve (green) now perfectly overlaps the initial naked DNA stretching curve, and breaks at the single-strand stretching limit of
150 pN (so there is no relaxation curve).
Above 2 nM HMG in 100 mM Na+, the protein appears to remain bound upon DNA stretching, even when the DNA is rinsed. The final curve of Fig. 8 c overlaps the stretching data for 4 nM HMG, indicating little protein unbinding. This DNA may be stretched well into the single-strand stretching region repeatedly, and above the normal breaking force of ssDNA (compare to Figs. 2 b and 8 b). Finally, under the conditions of high protein concentration and a stretching force greater than the overstretching force, there is hysteresis in the relaxation curves. The reason for this is unclear, though there may be some limited protein unbinding or HMG-bound DNA melting in the presence of very high (>100 pN) forces.
Thus, HMGB appears to unbind only below a critical concentration limit of
2 nM. This result contradicts the model in which the enhanced DNA curvature is due to transient protein binding of fixed angle. Such a model requires rapid protein unbinding to induce the observed decrease in DNA persistence length. We have shown that DNA curvature is enhanced even in conditions under which the protein is not able to unbind. Thus, bound HMG protein appears to be capable of inducing enhanced DNA curvature without unbinding from the DNA. This appears to favor a "flexible hinge" model, in which the protein-bound DNA exhibits actual enhanced curvature, perhaps due to partial denaturation of the double helix.
HMGDNA filament formation
In Fig. 9 a, the progressive decrease of the overstretching transition,
b, is visible over the course of several hours. This stands in contrast to the previous figures, especially Fig. 8, where very little change is visible. We hypothesize that in addition to the intercalation mode characterized above, the reduction in the length of the overstretching transition of Fig. 9 a reveals another binding mode. In this mode the protein binds cooperatively, forming a rigid DNAHMGB2 filament that shows no basepair melting. A similar mode has recently been discovered for the E. coli HU protein (32
). Thus, Fig. 9 a shows the development of such a filament in 100 nM HMGB2 protein and 50 mM Na+. Protein intercalation is not apparent at this protein concentration. The progressive decrease in the overstretching transition length (
b) correlates with decreasing lengths of unbound DNA. If bDNA is the typical force-extension curve for free DNA, and the filament extension curve is given by bfilament, then the observed force-extension curve may be expressed as a linear combination of the two curves, where f is the fraction of bases bound into the filament at a given force
![]() | (6) |
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b is manifest in the overstretching transition, as bDNA makes the transition from double- to single-stranded DNA, whereas bfilament does not undergo any transition at forces less than 300 pN. Therefore, as f approaches unity,
b approaches zero. In contrast to the hinge mode, which requires no more than a few minutes binding time, this filament mode stabilizes over the course of hours. However, the additional binding also reflects HMGB2 protein diffusion into the DNA region. Experiments repeated at lower HMGB2 protein concentrations (Fig. 9 b), while displaying consistent hinge binding, only sporadically demonstrate filament formation, even after several hours. More consistent filament formation was obtained by periodically flowing concentrations of HMG into the flow cell. Thus, the fraction of the DNA that has been bound by HMGB2 protein is probably determined by the total amount of protein that has passed close enough to the DNA to allow binding over the course of the experiment. Once the protein has been bound to the DNA in the filament form, it remains bound up to an applied force of at least 300 pN. This is the force limit of our instrument, as the streptavidin-coated bead is pulled from the optical trap. Clearly the HMGB2DNA filament is a highly stable structure.
HMG unbinding: evidence of loop formation?
Finally, we may consider individual unbinding events shown in Fig. 10 a. We observed cases where the force-extension curve reached a maximum, and then transiently dropped, consistent with the release of HMGB2-dependent DNA loop. It is possible that each node where the DNA molecule crosses itself in three-dimensional space, perhaps mimicking a cruciform, creates an ideal binding site for HMG proteins. Such loops have been described in DNA under the tension of an optical trap (58
), and observed when stabilized by the histones of the nucleosome core particle (59
). As HMG proteins may stabilize large loops of DNA by this mechanism, our experiments appear to reveal the force-induced unbinding and opening of these structures. These events were repeatable for individual DNA strands, and occurred over several protein concentrations, including higher (100 nM) concentrations. Thus, loop formation, and the subsequent reduction in contour length, has also been observed in the filament formation described above, though it is not shown here.
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b along the extension axis across the transient drop in the force. However, because our data was collected at 100-nm extension intervals, loops lower than 300 basepairs would be difficult to resolve, and any histogram of the loop length would show little detail. Instead, we measured the transient change in the force and used the worm-like chain model (Eq. 1) to estimate the corresponding change in the extension. Fig. 10 b shows the resulting distribution of the observed loop size for
50 openings, in 50 mM Na+ and 100 mM Na+, with little apparent difference in the distribution between the two salt concentrations.
The average increase in chain length was 150 nm. This corresponds to the release of a large DNA loop of an average of
440 basepairs. This chain length correlates well with the predicted lengths from theoretical studies (58
). The theoretical work suggests three types of loop geometries: circular, teardrop, and kinked. Importantly, only kinked geometries may yield loops less than the persistence length (
50 nm, or 150 basepairs). Overall, given the distribution of loop sizes and the large binding angle induced by the protein, it is likely that we see loops mainly of the kinked geometry, though the other geometries may be present as well.
The data shown here is for a range of protein concentrations from 0.5 to 8.0 nM HMG. As the protein concentration increases, the average loop size actually increases as well. This may be due to some binding saturation, where the randomly induced kinks induced by neighboring proteins begin to oppose each other. However, at higher concentrations, the data becomes somewhat noisier, possibly making the smaller loops difficult to detect.
The free energy that stabilizes this loop,
, may be found for a given force F and length 
;
![]() | (7) |
1000 kT. However, if the structure that is opened is a cruciform, then the protein may be bound to a junction of DNA that is only a few nanometers long. Thus, only 15 kT may be required to open the loop. Finally, the average force required to destabilize such structures was
27 pN, and this force does not appear to change with loop size or protein concentration, which one might expect if progressively larger loops were stabilized as the protein concentration increased. The release of such HMG-dependent DNA loops under stretching force appears not to be accompanied by global HMG unbinding. We hypothesize that the loops generally form as the protein is being added, while the DNA may loop during fluid flow. These loops are pulled apart over successive stretches and the likelihood of reforming the loops becomes very low if the DNA is kept under tension (>1 pN). Additional studies emphasizing greater extension precision by decreasing the step size and including the dependence of the opening force and loop size upon the pulling rate, would offer further insight into these events. | CONCLUSION |
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Is this apparent curvature change due to the formation of rigid kinks that are pulled out as the DNA is stretched, or to the formation of flexible hinges that actually make the DNA more flexible? The stretch and relax curves both show enhanced flexibility, indicating that the protein does not unbind upon DNA stretching (unless association and dissociation are much faster than the timescale of the experiment). Upon removal of the protein from the solution around the DNA, enhanced flexibility was still observed. This indicates that under some conditions the protein does not unbind, suggesting a stable binding that occurs on a longer timescale, as recently observed by others for the bacterial HU protein (32
). In a rigid binding model, the HMGDNA site is stiff and less flexible than the naked DNA, introducing a fixed, transient bend in the backbone, which should also lead to a significant decrease in the contour length. In the flexible hinge model, HMG enhances the local flexibility of the DNA, giving rise to an ensemble of bending angles. Thus, our results are most consistently explained by a flexible hinge model.
At much higher concentrations, an additional cooperative binding mode was observed to lead to irreversible filament formation. The contour length and persistence length appear largely unaffected, while the filament does become stiffer relative to naked DNA. Currently, there is no theory to quantitatively characterize these results, though our high-force optical tweezers instrument offers a promising new technique to study this phenomenon, in solution, for a wide variety of proteins.
Surprisingly, the HMGB2 box A protein appears to bind DNA tenaciously, as even high stretching forces and additional buffer flow failed to cause dissociation. These data would suggest that low concentrations of HMG may be sufficient to bind to nucleosomal DNA, possibly recognizing certain structural motifs. HMG removal may require competition from other binding proteins. Studies utilizing a more physiologically relevant protein construct with two domains of HMGB2 may show further effects upon the properties of single DNA molecules. These ongoing studies offer new insights into the biophysical mechanisms of HMGB proteins.
| ACKNOWLEDGEMENTS |
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This work was supported by the Mayo Foundation and National Institutes of Health grant GM54411 to L.J.M. and by National Science Foundation (MCB-0238190), National Institutes of Health (GM072462), and the Research Corp. to M.C.W.
| FOOTNOTES |
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Submitted on August 30, 2004; accepted for publication April 5, 2005.
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