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The thermal stabilities of DNA duplexes analogous to the let-7 microRNA: lin-41 mRNA complex from Caenorhabditis elegans have been measured by free solution capillary electrophoresis. DNA duplexes with the same stems but different types of internal or bulge loops and a control with no loop have also been studied. The melting temperatures of the DNA derivatives increased linearly with the logarithm of the Na + or K + ion concentration in the solution. Peaks in the electropherograms corresponding to duplexes with internal or bulge loops exhibited extensive tailing at high temperatures, suggesting that denaturation occurred by slow exchange between the duplexes and their component single strands. The single strands did not separate completely from the duplexes in aqueous solutions; instead, they appeared as small subpeaks on the tails of the duplex peaks. However, complete separation of the duplexes from their component single strands was observed at 20 °C in solutions containing 300 mM tetrapropylammonium ions. In addition, counterion condensation appears to be significantly reduced in DNA duplexes containing internal or bulge loops.

Capillary electrophoresis has been used to measure the free solution mobilities of a series of 26-base pair (bp) DNA oligomers containing two phased A4T1in-tracts embedded in flanking sequences containing 0 to 11 additional AT bps. A random-sequence 26-bp oligomer with 12 isolated AT bps was used as the reference. Mobility ratios (A-tract/reference) were measured in background electrolytes (BGEs) containing mixtures of small monovalent cations and tetrabutylammonium (TBA + ) or tetrapropylammonium (TPA + ) ions. The mobility ratios observed in 0.3 M TBA + were >1.00, suggesting that the TBA + ions had formed electrostatic contact pairs with the AT bp in the reference and in the A-tract flanking sequences, decreasing the mobilities of both oligomers. The TBA-AT pairing interactions could be eliminated by increasing the concentration of small monovalent cations in the BGE. In 0.3 M TPA + , electrostatic contact pairs were formed with the AT bps in the flanking sequences and in the A-tracts. Interestingly, the shapes of the mobility ratio profiles observed for the A4T1in-tract oligomers depended on the total number of A + T residues in the oligomer., (© 2023 The Authors. Electrophoresis published by Wiley-VCH GmbH.)

The free solution mobilities of 26-base pair (bp) DNA oligomers containing A-tracts with and without internal ApT steps have been measured by capillary electrophoresis, using the mobility of a 26-bp random-sequence oligomer as a reference. The background electrolytes (BGEs) contained mixtures of Li + and tetrapropylammonium (TPA + ) ions, keeping the total cation concentration constant at 0.3 M. The mobility ratios equaled 1.00 in 0.3 M TPA + , indicating that the A-tract and reference oligomers had the same B-form conformation in this BGE. With increasing [Li + ], the mobility ratio decreased as Li + ions became localized in the A-tract minor groove, suggesting that the A-tract was now in the B* conformation. If the A-tract contained an internal ApT step and the oligomer contained less than ∼50% A + T, the mobility ratio reached a reduced plateau value that remained constant as the [Li + ] increased to 0.3 M. However, for A-tracts without an internal ApT step and for A-tracts embedded in oligomers containing more than 50% A + T, the mobility ratios increased again at high [Li + ], eventually reaching a plateau value of 1.00. Hence, DNA A-tracts in solution appear to exist as mixtures of the B and B* conformations, with the fractional concentration of each conformer depending on the [Li + ], the A-tract sequence, and the total A + T content of the oligomer., (© 2023 The Authors. Electrophoresis published by Wiley-VCH GmbH.)

This review describes the results obtained by using free-solution capillary electrophoresis to probe the electrostatic and hydrodynamic properties of DNA in solutions containing various monovalent cations. In brief, we found that the mobilities of double-stranded DNAs (dsDNAs) increase with increasing molecular weight before leveling off and becoming constant at molecular weights ≥400 bp. The mobilities of single-stranded DNAs (ssDNAs) go through a maximum at ∼10-20 nucleotides before decreasing and becoming constant for oligomers larger than ∼30-50 bases. The mobilities of both ss- and dsDNAs increase linearly with the logarithm of increasing charge per unit length and decrease linearly with the logarithm of increasing ionic strength. Surprisingly, ss- and dsDNA mobilities level off and become nearly constant at ionic strengths ≥0.6 M. The thermal stabilities of dsDNAs decrease linearly with increasing solution viscosity. The diffusion coefficients of dsDNA are modulated by the diffusion coefficients of their counterions because of electrostatic DNA-cation coupling interactions. Finally, the anomalously slow mobilities observed for A-tract-containing DNAs can be attributed both to differences in shape and to the preferential localization of small cations in the A-tract minor groove. Since many of these results are mirrored in other polyion-counterion systems, free-solution electrophoresis can be viewed as a reporter of the electrostatics and hydrodynamics of highly charged polyions. New results describing the mobilities of dsDNA analogues of a microRNA-messenger RNA complex are also presented., (© 2021 Wiley-VCH GmbH.)

The free-solution mobilities of small single-stranded DNA (ssDNA) and double-stranded DNA (dsDNA) have been measured by capillary electrophoresis in solutions containing 0.01-1.0 M sodium acetate. The mobility of dsDNA is greater than that of ssDNA at all ionic strengths because of the greater charge density of dsDNA. The mobilities of both ssDNA and dsDNA decrease with increasing ionic strength until approaching plateau values at ionic strengths greater than ∼0.6 M. Hence, ssDNA and dsDNA appear to interact in a similar manner with the ions in the background electrolyte. For dsDNA, the mobilities predicted by the Manning electrophoresis equation are reasonably close to the observed mobilities, using no adjustable parameters, if the average distance between phosphate residues (the b parameter) is taken to be 1.7 Å. For ssDNA, the predicted mobilities are close to the observed mobilities at ionic strengths ≤0.01 M if the b-value is taken to be 4.1 Å. The predicted and observed mobilities diverge strongly at higher ionic strengths unless the b-value is reduced significantly. The results suggest that ssDNA strands exist as an ensemble of relatively compact conformations at high ionic strengths, with b-values corresponding to the relatively short phosphate-phosphate distances through space., (Copyright © 2020. Published by Elsevier Inc.)

Capillary electrophoresis has been used to measure the thermal stability of small DNA hairpins in solutions containing 0.3 M cation, comparing the results observed in Na + and NH 4 + with those observed in solutions containing various tetraalkylammonium ions. The midpoint melting temperatures of the hairpins decreased nonlinearly with cation radius but linearly with solvent viscosity, suggesting that the reversible melting transition involves DNA migration through the solvent to find stable base-pairing partners. The normalized melting temperatures increased linearly with the inverse viscosity of the solvent and agreed with values calculated from literature data for another small DNA hairpin, a small RNA duplex, and sonicated calf thymus DNA in tetraalkylammonium ion solutions. The normalized melting temperatures calculated from literature data for poly(A)·poly(U) and two proteins, ribonuclease and lysozyme, in tetraalkylammonium ion solutions also increased linearly with inverse solvent viscosity. By contrast, the normalized melting temperatures calculated from literature data for DNA in solutions containing ethylene glycol or glycerol to modify the viscosity increased linearly with the logarithm of inverse solvent viscosity, not the first power of inverse solvent viscosity.

Free solution electrophoretic mobilities of polyelectrolytes with different charge densities have been analyzed using data taken from the literature. The polyions include single- and double-stranded DNA oligomers, small aromatic molecules, peptides, proteins, and synthetic copolymers. Mobility variations due to differences in the background electrolytes were minimized by calculating mobility ratios, dividing the mobility of each charge variant in each data set by the mobility of the most highly charged polyion in that data set. In all cases, the mobility ratios increase linearly with the logarithm of the fractional charge, not the first power of the charge as usually assumed. In addition, the mobility ratios observed for all polyelectrolytes, except for the synthetic copolymers, exhibit a common dependence on the logarithm of fractional charge. The unique results observed for the synthetic copolymers may be due to the flexibility of their hydrocarbon backbones, in contrast to the relatively rigid hydrophilic backbones of the other polyelectrolytes. The mobilities observed for the DNA charge variants are well predicted by the Manning electrophoresis equation, whereas the mobilities predicted by zeta potential theories are higher. However, mobility ratios calculated from both theories agree with the observed results.

Free solution capillary electrophoresis (CE) is a useful technique for measuring the translational diffusion coefficients of charged analytes. The measurements are relatively fast if the polarity of the electric field is reversed to drive the analyte back and forth past the detection window during each run. We have tested the validity of the resulting diffusion coefficients using double-stranded DNA molecules ranging in size from 20 to 960 base pairs as the model system. The diffusion coefficients of small DNAs are equal to values in the literature measured by other techniques. However, the diffusion coefficients of DNA molecules larger than ∼30 base pairs are anomalously high and deviate increasingly from the literature values with increasing DNA molar mass. The anomalously high diffusion coefficients are due to electrostatic coupling between the DNA and its counterions. As a result, the measured diffusion coefficients vary with the diffusion coefficient of the counterion, as well as with cation concentration and electric field strength. These effects can be reduced or eliminated by measuring apparent diffusion coefficients of the DNA at several different electric field strengths and extrapolating the results to zero electric field.

Capillary electrophoresis has been used to characterize the interaction of monovalent cations with 26-basepair DNA oligomers containing A-tracts embedded in flanking sequences with different basepair compositions. A 26-basepair random-sequence oligomer was used as the reference; lithium and tetrabutylammonium (TBA(+)) ions were used as the probe ions. The free solution mobilities of the A-tract and random-sequence oligomers were identical in solutions containing <∼ 100 mM cation. At higher cation concentrations, the A-tract oligomers migrated faster than the reference oligomer in TBA(+) and slower than the reference in Li(+). Hence, cations of different sizes can interact very differently with DNA A-tracts. The increased mobilities observed in TBA(+) suggest that the large hydrophobic TBA(+) ions are preferentially excluded from the vicinity of the A-tract minor groove, increasing the effective net charge of the A-tract oligomers and increasing the mobility. By contrast, Li(+) ions decrease the mobility of A-tract oligomers because of the preferential localization of Li(+) ions in the narrow A-tract minor groove. Embedding the A-tracts in AT-rich flanking sequences markedly alters preferential interactions of monovalent cations with the B(∗) conformation. Hence, A-tracts embedded in genomic DNA may or may not interact preferentially with monovalent cations, depending on the relative number of A · T basepairs in the flanking sequences., (Copyright © 2015 Biophysical Society. Published by Elsevier Inc. All rights reserved.)

The free solution mobilities of ssDNA and dsDNA molecules with variable charge densities have been measured by CE. DNA charge density was modified either by appending positively or negatively charged groups to the thymine residues in a 98 bp DNA molecule, or by replacing some of the negatively charged phosphate internucleoside linkers in small ssDNA or dsDNA oligomers with positively charged phosphoramidate linkers. Mobility ratios were calculated for each dataset by dividing the mobility of a charge variant by the mobility of its unmodified parent DNA. Mobility ratios essentially eliminate the effect of the BGE on the observed mobility, making it possible to compare analytes measured under different experimental conditions. Neutral moieties attached to the thymine residues in the 98-bp DNA molecule had little or no effect on the mobility ratios, indicating that bulky substituents in the DNA major groove do not affect the mobility significantly. The mobility ratios observed for the thymine-modified and linker-modified DNA charge variants increased approximately linearly with the logarithm of the fractional negative charge of the DNA. Mobility ratios calculated from previous studies of linker-modified DNA charge variants and small multicharged organic molecules also increased approximately linearly with the logarithm of the fractional negative charge of the analyte. The results do not agree with the Debye-Hückel-Onsager theory of electrophoresis, which predicts that the mobility of an analyte should depend linearly on analyte charge, not the logarithm of the charge, when the frictional coefficient is held constant., (© 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.)

The intrinsic curvature of seven 98 bp DNA molecules containing up to four centrally located A6-tracts has been measured by gel and capillary electrophoresis as a function of the number and arrangement of the A-tracts. At low cation concentrations, the electrophoretic mobility observed in polyacrylamide gels and in free solution decreases progressively with the increasing number of phased A-tracts, as expected for DNA molecules with increasingly curved backbone structures. Anomalously slow electrophoretic mobilities are also observed for DNA molecules containing two pairs of phased A-tracts that are out of phase with each other, suggesting that out-of-phase distortions of the helix backbone do not cancel each other out. The mobility decreases observed for the A-tract samples are due to curvature, not cation binding in the A-tract minor groove, because identical free solution mobilities are observed for a molecule with four out-of-phase A-tracts and one with no A-tracts. Surprisingly, the curvature of DNA A-tracts is gradually lost when the monovalent cation concentration is increased to ∼200 mM, regardless of whether the cation is a hydrophilic ion like Na+, NH4+, or Tris+ or a hydrophobic ion like tetrabutylammonium. The decrease in A-tract curvature with increasing ionic strength, along with the known decrease in A-tract curvature with increasing temperature, suggests that DNA A-tracts are not significantly curved under physiological conditions.

The free solution electrophoretic mobilities and thermal stabilities of hairpins formed by two complementary 26-nucleotide oligomers have been measured by capillary electrophoresis. The oligomers are predicted to form molecular beacon-like hairpins with 5 bp stems and 16 nucleotides in the loop. One hairpin, called hairpin2 (hp2), migrates with a relatively fast free solution mobility and exhibits melting temperatures that are reasonably well predicted by the popular structure-prediction program Mfold. Its complement, called hairpin1 (hp1), migrates with a slower free solution mobility and forms a stable hairpin only in solutions containing ≥200 mM Na(+). The melting temperatures observed for hp1 are ~18 °C lower than those observed for hp2 and ~20 °C lower than those predicted by Mfold. The greater thermal stability of hp2 is due to the presence of tandem GA residues on opposite sides of the loop. If the corresponding TC residues in the hp1 loop are replaced by tandem GA residues, the melting temperatures of the modified hairpin are close to those observed for hp2. Eliminating the tandem GA residues in the hp2 loop significantly decreases the thermal stability of hp2. If the loops are replaced by a loop of 16 thymine residues, the free solution mobilities and thermal stabilities of the T-loop hairpin are equal to those observed for hp1. Hence, the loop of hp1 appears to be relatively unstructured, with few base-base stacking interactions. Interactions between tandem GA residues on opposite sides of the hp2 loop appear to compact the loop and increase hairpin stability.

The effect of monovalent cations on the thermal stability of a small model DNA hairpin has been measured by capillary electrophoresis, using an oligomer with 16 thymine residues as an unstructured control. The melting temperature of the model hairpin increases approximately linearly with the logarithm of increasing cation concentration in solutions containing Na(+), K(+), Li(+), NH(4)(+), Tris(+), tetramethylammonium (TMA(+)), or tetraethylammonium (TEA(+)) ions, is approximately independent of cation concentration in solutions containing tetrapropylammonium (TPA(+)) ions, and decreases with the logarithm of increasing cation concentration in solutions containing tetrabutylammonium (TBA(+)) ions. At constant cation concentration, the melting temperature of the DNA model hairpin decreases in the order Li(+) ∼ Na(+) ∼ K(+) > NH(4)(+) > TMA(+) > Tris(+) > TEA(+) > TPA(+) > TBA(+). Isothermal studies indicate that the decrease in the hairpin melting temperature with increasing cation hydrophobicity is not due to saturable, site-specific binding of the cation to the random coil conformation, but to the concomitant increase in cation size with increasing hydrophobicity. Larger cations are less effective at shielding the charged phosphate residues in B-form DNA because they cannot approach the DNA backbone as closely as smaller cations. By contrast, larger cations are relatively more effective at shielding the phosphate charges in the random coil conformation, where the phosphate-phosphate distance more closely matches cation size. Hydrophobic interactions between alkylammonium ions interacting electrostatically with the phosphate residues in the coil may amplify the effect of cation size on DNA thermal stability.

Transient electric birefringence has been used to quantify the curvature of two DNA restriction fragments, a 199-base-pair fragment taken from the origin of replication of the M13 bacteriophage and a 207-base-pair fragment taken from the VP1 gene in the SV40 minichromosome. Stable curvature in the SV40 and M13 restriction fragments is due to a series of closely spaced A tracts, runs of 4-6 contiguous adenine residues located within 40 or 60 base pair 'curvature modules' near the center of each fragment. The M13 and SV40 restriction fragments exhibit bends of ∼ 45° in solutions containing monovalent cations and ∼ 60° in solutions containing Mg(2 +) ions. The curvature is not localized at a single site but is distributed over the various A tracts in the curvature modules. Thermal denaturation studies indicate that the curvature in the M13 and SV40 restriction fragments remains constant up to 30 °C in solutions containing monovalent cations, and up to 40 °C in solutions containing Mg(2 +) ions, before beginning to decrease slowly with increasing temperature. Hence, stable curvature in these DNA restriction fragments exists at the biologically important temperature of 37 °C.

This review describes the electrophoresis of curved and normal DNA molecules in agarose gels, polyacrylamide gels and in free solution. These studies were undertaken to clarify why curved DNA molecules migrate anomalously slowly in polyacrylamide gels but not in agarose gels. Two milestone papers are cited, in which Ferguson plots were used to estimate the effective pore size of agarose and polyacrylamide gels. Subsequent studies on the effect of the electric field on agarose and polyacrylamide gel matrices, DNA interactions with the two gel matrices, and the effect of curvature on the free solution mobility of DNA are also described. The combined results suggest that the anomalously slow mobilities observed for curved DNA molecules in polyacrylamide gels are primarily due to preferential interactions of curved DNAs with the polyacrylamide gel matrix; the restrictive pore size of the matrix is of lesser importance. In free solution, DNA mobilities increase with increasing molecular mass until leveling off at a plateau value of (3.17 +/- 0.01) x 10(-4) cm2/V s in 40 mM Tris-acetate-EDTA buffer at 20 degrees C. Curved DNA molecules migrate anomalously slowly in free solution as well as in polyacrylamide gels, explaining why the Ferguson plots of curved and normal DNAs containing the same number of base pairs extrapolate to different mobilities at zero gel concentration.

DNA electrophoretic mobilities are highly dependent on the nature of the matrix in which the separation takes place. This review describes the effect of the matrix on DNA separations in agarose gels, polyacrylamide gels and solutions containing entangled linear polymers, correlating the electrophoretic mobilities with information obtained from other types of studies. DNA mobilities in various sieving media are determined by the interplay of three factors: the relative size of the DNA molecule with respect to the effective pore size of the matrix, the effect of the electric field on the matrix, and specific interactions of DNA with the matrix during electrophoresis.

The binding of five different monovalent cations to DNA oligomers containing A-tracts, runs of four or more contiguous adenine residues, has been assessed by capillary electrophoresis, using the Replacement Ion method. In this method, a nonbinding cation in the background electrolyte is gradually replaced by a binding cation, keeping the ionic strength of the solution constant. Monovalent cation binding reduces the effective charge of an A-tract-containing oligomer, decreasing its free solution mobility. The cations bind in the A-tract minor groove, because the binding site can be blocked by the minor groove binding drug netropsin. Li(+), NH(4)(+), and Tris(+) ions bind to A-tracts with similar affinities; the binding of Na(+) ions is weaker, and K(+) ion binding is highly variable. Each A-tract appears to bind one monovalent cation upon saturation of the binding site(s). For a given cation, the apparent dissociation constants depend on A-tract sequence and orientation, but not on the phasing of the A-tracts with respect to the helix repeat. Differences in the cooperativity of binding of the various cations to A-tracts with different sequences suggest that monovalent cation binding may be coupled with a conformational transition leading to the formation of the characteristic narrow minor groove A-tract structure.

Monovalent cation binding by DNA A-tracts, runs of four or more contiguous adenine or thymine residues, has been determined for two curved approximately 200 basepair (bp) restriction fragments, one taken from the M13 origin of replication and the other from the VP1 gene of SV40. These two fragments have previously been shown to contain stable, centrally located bends of 44 degrees and 46 degrees , respectively, located within approximately 60 bp "curvature modules" containing four or five irregularly spaced A-tracts. Transient electric birefringence measurements of these two fragments, sequence variants containing reduced numbers of A-tracts in the SV40 curvature module or changes in the residues flanking the A-tracts in the M13 curvature module, have been combined with the free solution electrophoretic mobilities of the same fragments using known equations to estimate the effective charge of each fragment. The effective charge is reduced, on average, by one-third charge for each A-tract in the curvature module, suggesting that each A-tract binds a monovalent cation approximately one-third of the time. Monovalent cation binding to two or more A-tracts is required to observe significant curvature of the DNA helix axis.

Capillary electrophoresis has been used to determine whether zwitterions contribute to the ionic strength of a solution, by measuring the mobility of a double-stranded DNA oligomer in cacodylate-buffered solutions containing various concentrations of the ionic salt tetraethylammonium chloride (TEA(+)Cl(-)) or the zwitterion tricine(+/-). The mobility of the DNA decreased as the square root of ionic strength, as expected from the Debye-Hückel-Onsager theory of electrophoresis, when TEA(+)Cl(-) was added to the buffer. However, the mobility was independent of the concentration of added tricine(+/-). Hence, zwitterions do not contribute to the ionic strength of a solution.

The electrophoretic mobilities of 24 single-stranded DNA oligomers, each containing 26 nucleotide residues, have been measured in polyacrylamide gels and in free solution. The mobilities observed at 20 degrees C differed by approximately 20% in polyacrylamide gels and by approximately 10% in free solution, even though the oligomers contained the same number of bases. Increasing the temperature or adding urea to the solution equalized the mobilities of the oligomers, suggesting that the variable mobilities observed at 20 degrees C are due to the formation of stable secondary structures, most likely hairpins. Thermal melting profiles were measured for eight oligomers in 40 mM Tris acetate buffer. The observed melting temperatures of most oligomers correlated roughly with the mobilities observed at 20 degrees C; however, one oligomer was much more stable than the others. The melting temperatures of four of the oligomers were close to the values predicted by DINAMelt [Markham, N. R., and Zuker, M. (2005) Nucleic Acids Res. 33, W577-W581]; melting temperatures of the other oligomers differed significantly from the predicted values. Thermal melting profiles were also measured for two oligomers as a function of the Tris acetate buffer concentration. The salt concentration dependence of the melting temperatures suggests that 0.15 Tris+ ion per phosphate is released upon denaturation. Because the apparent number of Tris+ ions released is greater than that observed by others for the release of Na+ ions from similar hairpins, the results suggest that DNA hairpins (and, presumably, duplexes) bind more Tris+ ions than Na+ ions in solution.

Capillary electrophoresis (CE) has been used to characterize the hairpin-random coil transition of four octamers in the GCxxxxGC minihairpin family, where xxxx is GAAA, TTTC, TTTT, or AAAA. The transition can be monitored by CE because differences in the frictional coefficients of the hairpin and coil forms of each octamer lead to a difference of approximately 9% in the free solution mobilities of the two conformations. The GAAA octamer is unusually stable, with a melting temperature of 65 degrees C. The TTTT octamer forms a minihairpin with a melting temperature of 29 degrees C, the TTTC octamer has a melting temperature of 16 degrees C, and the AAAA octamer has a melting temperature below 0 degrees C. The thermal transitions of the TTTT, TTTC, and AAAA octamers are well fitted by a structure prediction algorithm; however, the GAAA minihairpin is considerably more stable than predicted. The melting temperature of the GAAA minihairpin is reduced to 47 degrees C in aqueous buffers containing 7.2M urea and to 33 degrees C in buffers containing 7.2M urea plus 40% (v/v) formamide. The combined results indicate that CE is a sensitive technique for monitoring conformational transitions in small DNA molecules.

The free solution mobilities of the adenosine nucleotides 5'-adenosine triphosphate (ATP), 5'-adenosine diphosphate (ADP), 5'-adenosine monophosphate (AMP), and 3'-5'-cyclic AMP (cAMP) have been measured in diethylmalonate buffers containing a wide variety of monovalent cations. The mobilities of all nucleotides increase gradually with the increase in intrinsic conductivity of the cation in the BGE. However, at a given conductivity, the mobilities observed for ATP, ADP, and AMP in BGEs containing alkali metal ions and other cations are lower than these observed in BGEs containing tetraalkylammonium ions. Since the mobility of cAMP is independent of the cation in the BGE, the results suggest that the relatively low mobilities observed for ATP, ADP, and AMP in BGEs containing cations other than a tetraalkylammonium ion are due to cation binding, reducing the effective net charge of the nucleotide and thereby reducing the observed mobility. To measure the binding quantitatively, the mobilities of the nucleotides were measured as a function of ionic strength. The mobilities of ATP, ADP, and AMP decrease nonlinearly with the square root of ionic strength (I(1/2)) in BGEs containing an alkali metal ion or Tris(+). By contrast, the mobilities decrease linearly with I(1/2) in BGEs containing a nonbinding quaternary ammonium ion, as expected from Debye-Hückel-Onsager (DHO) theory. The mobility of cAMP, a nonbinding analyte, decreases linearly with I(1/2), regardless of the cation in the BGE. Hence, a nonlinear decrease of the mobility of an analyte with I(1/2) appears to be a hallmark of counterion binding. The curved mobility profiles observed for ATP, ADP, and AMP in BGEs containing an alkali metal ion or Tris(+) were analyzed by nonlinear curve fitting, using difference mobility profiles to correct for the effect of the physical properties of BGE on the observed mobilities. The calculated apparent dissociation constants range from 22 to 344 mM, depending on the particular cation-nucleotide pair. Similar values have been obtained by other investigators, using different methods. Interestingly, Tris(+) and Li(+) bind to the adenosine nucleotides with approximately equal affinities, suggesting that positively charged Tris(+) buffer ions can compete with alkali metal ions in Tris-buffered solutions.

A variation of affinity capillary electrophoresis, called the replacement ion (RI) method, has been developed to measure the binding of monovalent cations to random sequence, double-stranded (ds) DNA. In this method, the ionic strength is kept constant by gradually replacing a non-binding ion in the solution with a binding ion and measuring the mobility of binding and non-binding analytes as a function of binding ion concentration. The method was validated by measuring the binding of Li+ ions to adenosine nucleotides; the apparent dissociation constants obtained by the RI method are comparable to literature values obtained by other methods. The binding of Tris+, NH4+, Li+, Na+, and K+ to dsDNA was then investigated. The apparent dissociation constants observed for counterion binding to a random-sequence 26-base pair (bp) oligomer ranged from 71 mM for Tris+ to 173 mM for Na+ and K+. Hence, positively charged Tris buffer ions will compete with other monovalent cations in Tris-buffered solutions. The bound cations identified in this study may correspond to the strongly correlated, tightly bound ions recently postulated to exist as a class of ions near the surface of dsDNA (Tan, Z.-J., and Chen, S.-J. (2006) Biophys. J. 91, 518-536). Monovalent cation binding to random-sequence dsDNA would be expected to occur in addition to any site-specific binding of cations to A-tracts or other DNA sequence motifs. Single-stranded DNA oligomers do not bind the five tested cations under the conditions investigated here.

The free solution mobilities of curved and normal 199-bp DNA fragments have been measured in buffer solutions containing various quantities of the organic cosolvents methanol, ethanol, 2-propanol, 2-methyl-2,4-pentanediol (MPD), ethylene glycol, and ACN, using CE. The curved fragment, taken from the VP1 gene of SV40, contains five unevenly spaced A- and T-tracts in a centrally located "curvature module"; the A- and T-tracts have been mutated to other sequences in the normal 199-bp fragment. The free solution mobility of the curved 199-bp fragment is significantly lower than that of its normal counterpart in aqueous solutions [Stellwagen, E., Lu, Y. J., Stellwagen, N. C., Nucleic Acids Res. 2005, 33, 4425-4432]. The mobilities of both the curved and normal fragments decrease with increasing cosolvent concentration, due to the effect of the cosolvent on the viscosity and dielectric constant of the solution. The mobility differences between the curved and normal 199-bp fragments and the mobility ratios decrease approximately linearly with the increasing mole fraction of cosolvent in the solution. Hence, MPD and other organic cosolvents affect DNA electrophoretic mobility by a common mechanism, most likely the preferential hydration of the DNA surface that occurs in aqueous cosolvents. The gradual loss of the anomalously slow mobility of the curved 199-bp fragment with increasing cosolvent concentration, combined with other data in the literature, suggests that preferential hydration gradually widens the narrow A-tract minor groove, releasing site-bound counterions in the minor groove and shifting the conformation toward that of normal DNA.

The electrophoretic mobilities of curved and normal DNA molecules of the same size have been measured in polyacrylamide gels containing various acrylamide concentrations and cross-linker ratios. Ferguson plots were constructed to extrapolate the observed mobilities to zero gel concentration. The DNA samples were two 147-bp restriction fragments, called 12A and 12B, obtained from the MspI digestion of plasmid pBR322, and head-to-tail multimers of each fragment. Fragment 12A is stably curved and migrates anomalously slowly in polyacrylamide gels; fragment 12B has the conformation of normal DNA and migrates with normal electrophoretic mobilities. The extrapolated mobilities of the curved fragment 12A and its multimers at zero gel concentration are lower than the extrapolated mobilities of the normal fragment 12B and its multimers. The free solution mobility of the curved fragment 12A, measured by CE, is also lower than that of the normal fragment 12B. The combined results indicate that the extrapolated mobilities observed for curved DNA molecules at zero polyacrylamide gel concentration reflect the intrinsic differences in their free solution mobilities.

The electrophoretic mobility of a curved DNA restriction fragment taken from the VP1 gene in the SV40 minichromosome has been measured in polyacrylamide gels and free solution, using capillary electrophoresis. The 199 bp restriction fragment has an apparent bend angle of 46 +/- 2 degrees located at SV40 sequence position 1922 +/- 2 bp [Lu Y.J., Weers B.D. and Stellwagen N. C. (2005) Biophys. J., 88, 1191-1206]. The 'curvature module' surrounding the apparent bend center contains five unevenly spaced A- and T-tracts, which are responsible for the observed curvature. The parent 199 bp fragment and sequence mutants containing at least one A-tract in the curvature module migrate anomalously slowly in free solution, as well as in polyacrylamide gels. Hence, the anomalously slow mobilities observed for curved DNA molecules in polyacrylamide gels are due in part to their anomalously slow mobilities in free solution. Analysis of the gel and free solution mobility decrements indicates that each A- or T-tract contributes independently, but not equally, to the curvature of the 199 bp fragment and its A-tract mutants. The relative contribution of each A- or T-tract to the observed curvature depends on its spacing with respect to the first A-tract in the curvature module.

The free solution mobilities of single- and double-stranded DNA molecules of various molecular weights have been measured by capillary electrophoresis in solutions of constant ionic strength containing a common anion and fifteen different monovalent cations. In solutions with the same ionic composition, the mobilities of different DNA molecules can vary by up to 20%, depending on molecular weight, the number of strands, and the presence or absence of A-tracts, runs of four or more contiguous adenine residues. Importantly, the mobilities observed for the same DNA sample can vary by up to 40% in solutions containing different cations. The mobility differences observed for the same DNA in solutions containing different cations cannot be rationalized by differences in the anhydrous radii or intrinsic conductivities of the various cations, or by the sequence-dependent binding of certain cations to A-tracts. Instead, the observed mobilities are linearly correlated with the average number of water-water hydrogen bonds that are present in solutions containing different cations. The mobilities are also correlated with the viscosity B coefficients of the various cations and with the rotational correlation times frictional coefficients observed for water molecules in solutions containing different cations. Hence, monovalent cations modify the free solution mobility of DNA primarily by perturbing the hydrogen-bonded structure of water, affecting the friction experienced by the migrating DNA molecules during electrophoresis., (Copyright 2005 Wiley Periodicals, Inc.)

DNA restriction fragments that are stably curved are usually identified by polyacrylamide gel electrophoresis because curved fragments migrate more slowly than normal fragments containing the same number of basepairs. In free solution, curved DNA molecules can be identified by transient electric birefringence (TEB) because they exhibit rotational relaxation times that are faster than those of normal fragments of the same size. In this article, the results observed in free solution and in polyacrylamide gels are compared for a highly curved 199-basepair (bp) restriction fragment taken from the VP1 gene in Simian Virus 40 (SV40) and various sequence mutants and insertion derivatives. The TEB method of overlapping fragments was used to show that the 199-bp fragment has an apparent bend angle of 46 +/- 2 degrees centered at sequence position 1922 +/- 2 bp. Four unphased A- and T-tracts and a mixed A3T4-tract occur within a span of approximately 60 bp surrounding the apparent bend center; for brevity, this 60-bp sequence element is called a curvature module. Modifying any of the A- or T-tracts in the curvature module by site-directed mutagenesis decreases the curvature of the fragment; replacing all five A- and T-tracts by random-sequence DNA causes the 199-bp mutant to adopt a normal conformation, with normal electrophoretic mobilities and birefringence relaxation times. Hence, stable curvature in this region of the VP1 gene is due to the five unphased A- and T- tracts surrounding the apparent bend center. Discordant solution and gel results are observed when long inverted repeats are inserted within the curvature module. These insertion derivatives migrate anomalously slowly in polyacrylamide gels but have normal, highly flexible conformations in free solution. Discordant solution and gel results are not observed if the insert does not contain a long inverted repeat or if the long inverted repeat is added to the 199-bp fragment outside the curvature module. The results suggest that long inverted repeats can form hairpins or cruciforms when they are located within a region of the helix backbone that is intrinsically curved, leading to large mobility anomalies in polyacrylamide gels. Hairpin/cruciform formation is not observed in free solution, presumably because of rapid conformational exchange. Hence, DNA restriction fragments that migrate anomalously slowly in polyacrylamide gels are not necessarily stably curved in free solution.

The electrophoretic mobilities and diffusion coefficients of single- and double-stranded DNA molecules up to 50,000 bases or base pairs in size have been analyzed, using mobilities and diffusion coefficients either measured by capillary electrophoresis or taken from the literature. The Einstein equation suggests that the electrophoretic mobilities (mu) and diffusion coefficients (D) should be related by the expression mu/D = Q/k(B)T, where Q is the charge of the polyion (Q = ze(o), where z is the number of charged residues and e(o) is the fundamental electronic charge), k(B) is Boltzmann's constant, and T is the absolute temperature. If this equation were true, the ratio mu/zD should be a constant equal to e(o)/k(B)T (39.6 V(-1)) at 20 degrees C. However, the ratio mu/zD decreases with an increase in molecular weight for both single- and double-stranded DNAs. The mobilities and diffusion coefficients are better described by the modified Einstein equation mu/N(m)D = e(o)/k(B)T, where N is the number of repeat units (bases or base pairs) in the DNA and m is a constant equal to the power law dependence of the diffusion coefficients on molecular weight. The average value of the ratio mu/N(m)D is 40 +/- 4 V(-1) for 36 single- and double-stranded DNA molecules of different sizes, close to the theoretically expected value. The generality of the modified Einstein equation is demonstrated by analyzing literature values for sodium polystyrenesulfonate (PSS). The average value of the ratio mu/N(m)D is 35 +/- 6 V(-1) for 14 PSS samples containing up to 855 monomers.

The free solution mobilities of six single-stranded 16-nucleotide DNA oligomers with the same sequence, containing up to 11 neutral phosphoramidate internucleoside linkages, have been measured by capillary electrophoresis. The mobilities of the partially charged oligomers increase linearly with the logarithm of increasing charge density, as predicted by the Manning theory of electrophoresis (G. S. Manning, J. Phys. Chem. 1981, 85, 1506-1515). For comparison, the mobilities of eight fully charged single-stranded oligomers containing similar numbers of charged phosphate residues have also been measured. The mobilities of the variable length, fully charged oligomers increase more rapidly with the increasing number of charged phosphate residues than the mobilities of the constant size, partially charged phosphoramidate derivatives, because of the larger diffusion coefficients of the modified oligomers.

The circular permutation assay has been used to characterize sequence-dependent bending in plasmid pUC19 (2686 bp). Linear, permuted sequence isomers of pUC19 exhibit different mobilities in large-pore polyacrylamide gels, suggesting that the plasmid contains two sequence-dependent bends, one located at approximately 806 bp, close to the start site of transcription, and the other at approximately 2617 bp, near the promoter of the ampicillin resistance gene. The mobility patterns are independent of the buffer in which the gels are cast and run, independent of pH over the range 6.5-8.6, and independent of the presence or absence of various monovalent ions added to the buffer, suggesting that the maxima in the mobility patterns correspond to stable bends in the helix backbone, not anisometric flexibility. Although the mobility patterns are unchanged when Ba(++) or Zn(++) ions are added to the buffer, several of the sequence isomers exhibit multiple sharp sub-bands in solutions containing Mg(++) or Ca(++) ions, indicating the presence of multiple conformational isomers. In addition, the mobility maximum near the start site of transcription is shifted by approximately 100 bp in the presence of Ca(++) ions, suggesting that the location of the actual bend center is somewhat variable, depending on the ionic composition of the surrounding medium. The number of maxima observed in the mobility pattern can be increased by adding a bend from another plasmid, such as Litmus 28; the number of maxima can be decreased by removing one of the bends in pUC19 by restriction enzyme digestion and religation. Hence, the number of maxima in the mobility pattern is an accurate indication of the number of stable, sequence-dependent bends present in the plasmid. The combined results indicate that the circular permutation assay in large-pore polyacrylamide gels is a reliable method of detecting and analyzing sequence-dependent bends in kilobase-sized DNA molecules.

Transient electric birefringence has been used to analyze DNA bending in six restriction fragments containing 171, 174, 207, 263, 289, and 471 bp in three different low ionic strength buffers. The target fragments contain sequences corresponding to the apparent bend centers in pUC19 and Litmus 28, previously identified by the circular permutation assay (Strutz, K.; Stellwagen, N. C. Electrophoresis 1996, 17, 989-995). The target fragments migrate anomalously slowly in polyacrylamide gels and exhibit birefringence relaxation times that are shorter than those of restriction fragments of the same size, taken from nonbent regions of the same plasmids. Apparent bend angles ranging from 30 degrees to 41 degrees were calculated for the target fragments by tau-ratio method. The bend angles of four of the target fragments were independent of temperature from 4 degrees C to 20 degrees C, but decreased when the temperature was increased to 37 degrees C. The bend angles of the other two target fragments were independent of temperature over the entire range examined, 4 degrees -37 degrees C. Hence, the thermal stability of sequence-dependent bends in random-sequence DNA is variable. The bend angles of five of the six target fragments were independent of the presence or absence of Mg2+ ions in the solution, indicating most of the target fragments were stably bent or curved, rather than anisometrically flexible. Restriction fragments containing 219 and 224 bp, with sequences somewhat offset from the sequence of the 207 bp fragment, were also studied. Comparison of the tau-ratios of these overlapping fragments allowed both the bend angle and bend position to be independently determined. These methods should be useful for analyzing sequence-dependent bending in other random-sequence DNAs., (Copyright 2003 Wiley Periodicals, Inc. Biopolymers 70: 270-288, 2003)

Atomic force microscopy (AFM) has been used to image a 471-bp bent DNA restriction fragment derived from the M13 origin of replication in plasmid LITMUS 28, and a 476-bp normal, unbent fragment from plasmid pUC19. The most probable angle of curvature of the 471-bp DNA fragment is 40-50 degrees, in reasonably good agreement with the bend angle determined by transient electric birefringence, 38 degrees +/- 7 degrees. The normal 476-bp DNA fragment exhibited a Gaussian distribution of bend angles centered at 0 degrees, indicating that this fragment does not contain an intrinsic bend. The persistence length, P, was estimated to be 60 +/- 8 and 62 +/- 8 nm for the 471- and 476-bp fragments, respectively, from the observed mean-square end-to-end distances in the AFM images. Since the P-values of the normal and bent fragments are close to each other, the overall flexibility of DNA fragments of this size is only marginally affected by the presence of a stable bend. The close agreement of AFM and transient electric birefringence results validates the suitability of both methods for characterizing DNA bending and flexibility.

The free solution mobility of a 20-bp double-stranded DNA oligomer has been measured in diethylmalonate (DM) and Tris-acetate buffers, with and without added NaCl or TrisCl. DM buffers have the advantage that the buffering ion is anionic, so the cation composition in the solution can be varied at will. The results indicate that the free solution mobility of DNA decreases linearly with the logarithm of ionic strength when the ionic strength is increased by increasing the buffer concentration. The mobility also decreases linearly with the logarithm of ionic strength when NaCl is added to NaDM buffer or TrisCl is added to TrisDM buffer. Nonlinear effects are observed if the counterion in the added salt differs from the counterion in the buffer. The dependence of the mobility on ionic strength cannot be predicted using the Henry, Debye-Hückel-Onsager, or Pitts equations for electrophoresis. However, the mobilities observed in all buffer and buffer/salt solutions can be predicted within approximately 20% by the Manning equation for electrophoresis, using no adjustable parameters. The results suggest that the electrostatic shielding of DNA is determined not only by the relative concentrations of the various ions in the solution, but also by their equivalent conductivities.

The technique of Brownian dynamics is used to model the electrophoretic mobility of spherical and rod-like particles in a three-dimensional cubic gel lattice. In addition to excluded volume interactions between the migrating particle and the gel, direct interactions are also included. The methodology is first applied to spherical particles in the absence of direct interactions and the resulting mobilities are shown to agree with independent studies. The methodology is then applied to rod-like models of short duplex DNA fragments 10-50 base pairs in length. In the absence of direct interactions between gel and DNA, calculated mobilities show a much weaker dependence on gel concentration than observed in experiments of DNA in Tris-acetate buffer and polyacrylamide gels. When an attractive interaction between gel and DNA of approximately -0.3 k(B)T per base pair at contact is included, good agreement between calculated and experimental mobilities is achieved.

The free solution mobility of DNA molecules of different molecular weights, the sequence dependence of the mobility, and the diffusion coefficients of small single- and double-stranded DNA (ss- and dsDNA) molecules can be measured accurately by capillary zone electrophoresis, using coated capillaries to minimize the electroosmotic flow (EOF) of the solvent. Very small differences in mobility between various analytes can be quantified if a mobility marker is used to correct for small differences in EOF between successive experiments. Using mobility markers, the molecular weight at which the free solution mobility of dsDNA becomes independent of molecular weight is found to be approximately 170 bp in 40 mM Tris-acetate-EDTA buffer. A DNA fragment containing 170 bp has a contour length of approximately 58 nm, close to the persistence length of DNA under these buffer conditions. Hence, the approach of the free solution mobility of DNA to a plateau value may be associated with the transition from a rod-like to a coil-like conformation in solution. Markers have also been used to determine that the free solution mobilities of ss- and dsDNA oligomers are sequence-dependent. Double-stranded 20-bp oligomers containing runs of three or more adenine residues in a row (A-tracts) migrate somewhat more slowly than 20-mers without A-tracts, suggesting that somewhat larger numbers of counterions are condensed in the ion atmospheres of A-tract DNAs, decreasing their net effective charge. Single-stranded 20-mers with symmetric sequences migrate approximately 1% faster than their double-stranded counterparts, and faster than single-stranded 20-mers containing A(5)- or T(5)-tracts. Interestingly, the average mobility of two complementary single-stranded 20-mers is equal to the mobility of the double-stranded oligomer formed upon annealing. Finally, the stopped migration method has been used to measure the diffusion coefficients of single- and double-stranded oligomers. The diffusion coefficients of ssDNA oligomers containing 20 nucleotides are approximately 50% larger than those of double-stranded DNA oligomers of the same size, reflecting the greater flexibility of ssDNA molecules. The methods used to carry out these experiments are also described in detail.

The free solution mobility of a high-molecular-weight DNA, linear pUC19, and a 20-bp oligomer called dsA5 have been studied as a function of Tris-acetate-EDTA (TAE) buffer concentration, with and without added NaCl. The two DNAs migrate as separate peaks during capillary electrophoresis, because the mobility of linear pUC19 is higher than that of the 20-bp oligomer. In TAE buffers ranging from 10-400 mM in concentration, the migration times and peak areas of the two DNAs are independent of whether they are electrophoresed separately or in mixtures, indicating that DNA-DNA and DNA-buffer interactions are absent in these solutions. The migration times of the two DNAs vary and the peak areas are not additive when the TAE buffer concentration is reduced to 5 mM or below, indicating that DNA-DNA and DNA-buffer interactions are occurring at very low TAE buffer concentrations. The mobilities of linear pUC19 and dsA5 decrease slowly with increasing conductivity or ionic strength when the conductivity is increased by increasing the TAE buffer concentration. When the Tris buffer concentration is held constant and the conductivity is increased by adding various concentrations of NaCl to the solution, the mobilities of linear pUC19 and dsA5 first increase slightly, then become independent of solution conductivity (or ionic strength), and finally decrease when the NaCl concentration is increased above approximately 50 mM. The mobility variations observed in the various TAE and TAE-NaCl solutions are described qualitatively by Manning's theory, although quantitative agreement is not achieved. The free solution mobilities of single-stranded pUC19 and two 20-base oligonucleotides have also been measured. The free solution mobility of single-stranded pUC19 is approximately 15% lower than that of native pUC19, in agreement with other results in the literature. Somewhat surprisingly, the mobilities of the single- and double-stranded 20-mers are equal to each other in TAE buffers with and without added NaCl.

The free solution mobility of DNA increases with increasing molecular weight and then levels off and becomes constant at molecular weights above approximately 400 bp (Stellwagen, N. C., Gelfi, C., Righetti, P. G., Biopolymers 1997,42, 687-703). To investigate whether the increase in mobility could be attributed to an increased orientation of the larger DNA molecules in the electric field, the free solution mobility of DNA was measured by capillary electrophoresis as a function of electric field strength. Mixtures containing 20-, 118- and 422-bp DNA molecules, and 20-, 422- and 2116-bp DNAs, were studied. If the larger DNA molecules in each mixture were oriented by the electric field, their mobilities should increase with electric field strength faster than the mobility of the 20-bp oligomer, which is too small to be oriented by the electric fields used in this study. Instead, the ratios of the mobilities of the 118-, 422- and 2116-bp fragments to the mobility of the 20-bp oligomer were independent of electric field strength. Hence, orientation effects are not important for DNA molecules up to 2 kbp in size, in electric fields up to 500 V/cm in amplitude. An explanation is suggested.

The apparent translational diffusion coefficients of four 20 base pair (bp) DNA oligonucleotides with different sequences have been measured by capillary electrophoresis, using the stopped migration method. The diffusion coefficients of the four oligomers were equal within experimental error, and averaged (120 +/- 10) x 10(-8) cm(2) s(-1) in 40 mM Tris-acetate-EDTA buffer at 25 degrees C. Since this value is nearly identical to the translational diffusion coefficient determined for a different 20-bp oligomer using other methods, the stopped migration method can accurately measure the diffusion coefficients of small DNA oligomers. The apparent diffusion coefficient of a 118-bp DNA restriction fragment was also measured by the stopped migration method. However, the observed value was approximately 25% larger than expected from other measurements, possibly because the diffusion coefficients of larger DNA molecules are somewhat dependent on the ionic strength of the solution., (Copyright 2001 John Wiley & Sons, Inc. Biopolymers 58: 390-397, 2001.)

The free solution mobility of four 20 bp DNA oligomers, with and without A-tracts, has been measured by capillary electrophoresis in Tris-acetate buffer, to test the hypothesis that site-specific binding of monovalent counterions can occur in the narrow minor groove of A-tract DNAs. Preferential counterion binding has been proposed to cause A-tract bending because of asymmetric charge neutralization and collapse of the helix backbone toward the minor groove. Preferential counterion binding in A-tract DNAs should be manifested by a decrease in the electrophoretic mobility observed in free solution, compared to that of non-A-tract DNAs of the same size. Of the four sequences studied here, the slowest absolute mobility, indicative of the greatest counterion binding, was observed for a 20 bp oligomer containing two runs of A3T3 in phase with the helix repeat. A 20-mer containing phased CACA sequences migrated with the fastest mobility; 20-mers containing phased A5 tracts or phased runs of T3A3 migrated with intermediate mobilities. Very similar mobility differences were observed when 1-20 mM NaCl was added to the buffer. The results suggest that preferential counterion binding occurs in A-tract DNAs, especially those containing the AnTn sequence motif.

DNA restriction fragments ranging from 79 to 789 base pairs in length have been characterized by transient electric birefringence (TEB) measurements at various temperatures between 4 and 43 degrees C. The DNA fragments do not contain runs of four or more adenine residues in a row and migrate with normal electrophoretic mobilities in polyacrylamide gels, indicating that they are not intrinsically curved or bent. The low ionic strength buffers used for the measurements contained 1 mM Tris Cl, pH 8.0, EDTA, and variable concentrations of Na(+) or Mg(2+) ions. The rotational relaxation times were obtained by fitting the TEB field-free decay signals with a nonlinear least-squared fitting program; the decay of the birefringence was monoexponential for fragments < or = 241 base pair (bp) in length and multiexponential for larger fragments. The terminal relaxation times, characteristic of the end-over-end rotation of the DNA molecules, were then used to determine the persistence length (p) and hydrodynamic radius (r) of DNA as a function of temperature and ionic strength, using several different hydrodynamic models. The specific values obtained for p and r are model dependent. The wormlike chain model of P. J. Hagerman and B. H. Zimm (Biopolymers 1981, Vol. 20, pp. 1481-1502) combined with the revised Broersma equation (J. Newman et al., Journal of Mol Biol 1997, Vol. 116, pp. 593-606) appears to be the most suitable for describing the flexibility of DNA in low ionic strength solutions. The values of p and r obtained from the global least squares fitting of this equation are independent of DNA length, and the deviations of the individual values from the average are reasonably small. The consensus r value calculated for DNA in various low ionic strength solutions containing 1 mM Tris buffer is 14.7 +/- 0.4 A at 20 degrees C. The consensus p values decrease from 814 approximately 564 A in solutions containing 1 mM Tris buffer plus 0.2-1 mM NaCl and decrease still further to 440 A in solutions containing 0.2 mM Mg(2+) ions. The persistence length exhibits a shallow maximum at 20 degrees C and decreases slowly upon either increasing or decreasing the temperature, regardless of the model used to fit the data. By contrast, the consensus values of the hydrodynamic radius are independent of temperature. The calculated persistence lengths and hydrodynamic radii are compared with other data in the literature., (Copyright 2002 Wiley Periodicals, Inc.)

The interaction of DNA with various neutral pH, amine-based buffers has been analyzed by free solution capillary electrophoresis, using a mixture of a plasmid-sized DNA molecule and a small DNA oligonucleotide as the reporter system. The two DNAs migrate as separate, nearly Gaussian-shaped peaks in 20-80 mM TAE (TAE, Tris-acetate-EDTA; Tris, tris[hydroxymethyl]aminomethane) buffer. The separation between the peaks gradually increases with increasing TAE buffer concentration because of differences in solvent friction between large and small DNA molecules. The two DNAs form complexes with the borate ions in TBE (Tris-borate-EDTA) buffer, with mobilities that depend on the DNA/borate ratio. In 45 mM TBE buffer, the two DNAs comigrate as a single sharp peak, with a mobility that is faster than either of the constituent DNAs in the same buffer. Hence, the mixed DNA-borate complex is stabilized by the binding of additional borate ions, possibly forming bridges between the different DNAs. The mixed DNA-borate complex is gradually dissociated into its component DNAs by increasing the TBE concentration, possibly because the borate binding sites become saturated at high buffer concentrations. Other neutral pH, amine-based buffers, such as Mops (3-[N-morpholino]propanesulfonic acid), Hepes (N-[2-hydroxyethyl]piperazine-N'-[2-ethanesulfonic acid]), Bes (N,N-bis[2-hydroxyethyl]-2-aminoethanesulfonic acid), Tes (N-tris[hydroxymethyl]methyl-2-aminoethanesulfonic acid), and tricine (N-tris[hydroxymethyl]methylglycine) also form complexes with DNA, giving distorted peaks in the electropherograms. The combined results indicate that borate buffers and most neutral pH, amine-based buffers interact with DNA., (Copyright 2000 Academic Press.)

The free solution electrophoretic mobility of DNA differs significantly in different buffers, suggesting that DNA-buffer interactions are present in certain buffer systems. Here, capillary and gel electrophoresis data are combined to show that the Tris ions in Tris-acetate-EDTA (TAE) buffers are associated with the DNA helix to approximately the same extent as sodium ions. The borate ions in Tris-borate-EDTA (TBE) buffers interact with DNA to form highly charged DNA-borate complexes, which are stable both in free solution and in polyacrylamide gels. DNA-borate complexes are not observed in agarose gels, because of the competition of the agarose gel fibers for the borate residues. The resulting agarose-borate complexes increase the negative charge of the agarose gel fibers, leading to an increased electroendosmotic flow of the solvent in agarose-TBE gels. The combined results indicate that the buffers in which DNA is studied cannot automatically be assumed to be innocuous., (Copyright 2000 John Wiley & Sons, Inc.)

Dimers, trimers and higher multimers of two 147-base pair restriction fragments called 12 A and 12B, obtained from the MspI digest of plasmid pBR322, migrate as sharp bands in agarose and dilute polyacrylamide gels, indicating that they are homogeneous in molecular weight. However, the electrophoretic bands corresponding to multimers of the curved fragment 12A are split into sharp sub-bands in more concentrated polyacrylamide gels. The relative intensities and spacing of the sub-bands depend on the number of monomers in the multimer, the pH of the buffer, and the presence or absence of divalent cations in the solution. Since band splitting is not observed for the normal 12B multimers under any gel-running conditions, the sub-bands observed for multimers of the curved fragment 12A must be attributed to conformational isomers which are in slow exchange on the electrophoretic time scale. Band splitting is also observed for multimers of a curved DNA fragment containing the kinetoplast bending locus and for plasmid pUC19 linearized by digestion with certain restriction enzymes. Plasmid pUC19 contains two nearly equidistant regions of intrinsic curvature (Strutz, K., Stellwagen, N. C., Electrophoresis 1996, 17, 989-995). Hence, DNA molecules containing two or more regions of curvature exist as discrete subpopulations of conformational isomers which can be observed as separate bands migrating in polyacrylamide gels.

The free solution electrophoretic mobility of an 118-base pair DNA fragment containing zero, three, six or nine cationic phosphoramidate internucleoside linkages has been measured by capillary electrophoresis. The electrophoretic mobility decreases with the increasing number of cationic phosphoramidate linkages, as expected because of the reduced negative charge on the DNA molecules. The decrease in mobility is approximately linear for DNA molecules containing three and six cationic phosphoramidate linkages, but begins to level off when nine cationic phosphoramidate linkages have been added. The mobility also varies somewhat depending on whether the modified phosphoramidate linkages are located at the 5'- or 3'-end of the DNA molecule.

The free solution electrophoretic mobility of two DNA molecules of different molecular masses, 18 base pairs and 2686 base pairs, has been measured in isoelectric histidine buffers with and without added low-molecular-mass electrolytes. Extensive DNA-histidine complex formation is observed in isoelectric histidine buffer, as evidenced by distortion and splitting of the peaks in the electropherograms. Peak distortion and splitting can be decreased or eliminated by adding low-molecular-mass neutral salts to the solution, suggesting that the DNA-histidine complexes are stabilized by electrostatic interactions. The ability of various neutral salts to disrupt the DNA-histidine complexes depends on the molecular mass of the DNA and the concentration and type of added salt.

The electrophoretic mobilities of DNA molecules in three different molecular weight ladders were measured in polyacrylamide gels containing different acrylamide concentrations (%T) and cross-linker ratios (%C), cast and run in Trisacetate-EDTA (TAE) buffer. The apparent pore radius of each gel was estimated from Ferguson plots of the relative mobilities of each of the DNA molecules, using the mobility of the monomer fragment in each molecular weight ladder as the reference mobility. The effective size of each of the DNA molecules was estimated from its radius of gyration. The apparent gel pore radii calculated in this manner ranged from 21 nm in gels containing 10.5%T, 5%C to 200 nm in gels with 4.6%T, 2%C, similar to the values observed for polyacrylamide gels cast and run in Tris-borate-EDTA (TBE) buffer (Holmes and Stellwagen, Electrophoresis 1991, 12, 612-619). Hence, the effective pore size of polyacrylamide gels is essentially independent of whether the gels are cast and run in TAE or TBE buffer.

When separating ds-DNA in isoelectric His buffer (pH=pI=7.6), in the 50-250 mM concentration range, some unique phenomena were observed: improved resolution for smaller DNA fragments, up to ca. 150 bp, and a rapid deterioration of resolution above this critical length (which corresponds to the persistence length). Such phenomenon depended also on voltage and concentration of sieving liquid polymer. Direct binding of His to the DNA helix was hypothesized, with resultant stiffening and an increment of diameter of the DNA fragments, thus inducing an early onset of reptation at the applied voltage in the 100-300 V/cm range. In order to prove this hypothesis, "competing ions" (notably NaCl and KBr) were added to the His background electrolyte: a partial reversal of the His effect was already apparent at low concentrations of such ions (10 mM) and was complete at higher concentrations (30 and 50 mM). By molecular modeling, it was found that His could be docking on the negatively charged oxygen (bound to the phosphate) by offering both charged (primary and tertiary amino) groups to simultaneous binding, thus forming a salt and neutralizing the negative charge borne by the oxygen. The following characteristic bond distances were found: 0.34 nm between the N (imidazolic) and O; 0.32 nm between the primary N and O; 0.36 nm between the two nitrogens engaged in salt formation with the oxygen. In addition, for complexation to occur, the distance between the noncharged nitrogen in the imidazole ring and the nearest phosphate oxygen (engaged in the phosphodiester bridge) should be 0.44 nm. Under these conditions, the two rings present (a six-membered, ideal one, salt-linked with the oxygen and rather highly elongated, and the imidazole) will not be precisely coplanar, since the primary and tertiary nitrogens will be one slightly above and one slightly below the plane of the drawing. Upon extensive binding, occupying every available phosphate site, pi-pi interactions could occur among the stacks of bound His residues, thus further stabilizing the complex.

The electrophoresis of small DNA fragments has been measured in dilute agarose and polyacrylamide gels cast and run in Tris-acetate-EDTA (TAE) and Tris-borate-EDTA (TBE) buffers. Ferguson plots were constructed to extrapolate the mobilities to zero gel concentration and estimate the free solution mobility of DNA. In polyacrylamide gels, in both TAE and TBE buffers, the extrapolated mobilities at zero gel concentration increased gradually with decreasing DNA molecular weight, went through a maximum at approximately 60 bp, and then decreased again. The increase in the extrapolated mobilities with decreasing molecular weight observed for DNA fragments > or = 60 bp can be attributed to transient interactions between the migrating DNA molecules and the polyacrylamide gel fibers. If such interactions are eliminated by extrapolating the mobilities to both zero gel concentration and zero DNA molecular weight, the apparent free solution mobility of DNA is found to be 3.1 x 10(-4) cm2 V(-1) s(-1) in TAE buffer and 4.2 x 10(-4) cm2 V(-1) s(-1) in TBE buffer at 20 degrees C, reasonably close to the actual free solution mobilities measured in the same two buffers by capillary electrophoresis (N. C. Stellwagen et al., Biopolymers 1997, 42, 687-703). The significantly larger electrophoretic mobility observed in TBE buffer is most likely due to the formation of nonspecific, highly charged deoxyribose-borate complexes in this buffer medium. For DNA molecules < or = 60 bp in size, the decrease in the extrapolated mobilities with decreasing molecular weight parallels the decrease in their free solution mobilities observed by capillary electrophoresis. In agarose gels, the extrapolated mobilities of small DNA molecules at zero gel concentration appear to be independent of molecular weight. The apparent free solution mobilities are found to be (3.0 +/- 0.1) x 10(-4) cm2 V(-1) s(-1) in TAE buffer and (3.2 +/- 0.1) x 10(-4) cm2 V(-1) s(-1) in TBE buffer. The very similar mobilities observed in the two buffer media suggest that the borate ions in TBE buffer primarily form complexes with the galactose residues in the agarose gel fibers, rather than with the migrating DNA molecules, because of mass action effects. The formation of borate-agarose complexes, increasing the net negative charge of the agarose gel fibers, appears to be responsible for the markedly increased electroendosmotic flow observed in agarose gels cast and run in TBE buffer (N. C. Stellwagen, Electrophoresis 1992, 13, 601-603).