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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.

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A procedure is described to utilize blue dextran-Sepharose as an affinity chromatographic column specific for the super-secondary structure called the dinucleotide fold, which forms the binding sites for substrates and effectors on a wide range of proteins. The procedure can be used to identify proteins, either purified or in crude cellular extracts, that possess the dinucleotide fold and to significantly improve the purification procedures for those proteins that possess the fold.A sulfonated polyaromatic blue dye covalently attached to dextran, called blue dextran,O-DEXTRAN is commonly used to measure the void volume of exclusion chromatographic columns. It has been observed that several proteins that normally penetrate the internal volume of exclusion gel beads are totally excluded from the internal volume when chromatographed along with blue dextran in the presence of low, but not high, ionic strength solvents. A variety of proteins exhibit this behavior, such as pyruvate kinase (1, 2), glutathione reductase (3), and blood coagulation factors II, VII, IX, and X (4). It was concluded that blue dextran forms a complex with each of these proteins that is dissociable by salt. Subsequent to these observations, blue dextran-Sepharose affinity columns have been made and used in the final purification stages of enzymes such as phosphofructokinase (5) and lactate dehydrogenase (6).These enzymes were displaced from the affinity columns by addition of low concentrations of their nucleotide substrates to the elution solvents.We propose that the blue dextran complexes with this wide range of proteins because it is specific for a super-secondary structure called the dinucleotide fold. This structure involves about 120 amino acids that are arranged in a ,-sheet core composed of five or six parallel strands connected by ahelical intrastrand loops located above and below the ,8-sheet (7,8). The dinucleotide fold is known to form the NADbinding site in lactate (9), malate (10), and glyceraldehydephosphate (11) dehydrogenases, to form the ATP-binding site in phosphoglycerate kinase (12), and to be present in the structures of alcohol dehydrogenase (13), adenylate kinase (14,15), and phosphoglycerate mutase (16). In addition, the FMN-binding site of flavodoxin (17,18) and the aromatic specificity site in the proteolytic enzyme subtilisin (19,20) have been proposed (7,8) to contain a remnant of the dinucleotide fold termed the mononucleotide fold. Accordingly, we examined the interaction of blue dextran-Sepharose affinity columns with each of these proteins as well as with several proteins known not to possess the dinucleotide fold to determine the specificity of the affinity columns. MATERIALS AND METHODS

The three ER ion pairs in the peptide acetyl-W(EAAAR)3A-amide were replaced in turn with the ion pairs EK, EO, DR, DK, and DO, where O represents an ornithine residue. The far-ultraviolet circular dichroic spectra of the six peptides measured in 10 mM NaCl at pH 2 and 0 degrees C form a nested set having an isodichroic point at 203 nm of -17,000 deg cm2 dmol-1. The ellipticity values of the six peptides at 222 nm range from -31,600 to -7400 deg cm2 dmol-1 in the order listed. Changing the pH of each peptide solution from 2 to 13 also generates a nested set of dichroic spectra with the same isodichroic values. Increasing the pH from 2 to 7 differentially increases the ellipticity at 222 nm in a single transition having an apparent pK of 4.1 for the E-containing peptides are 3.6 for the D-containing peptides. Increasing the pH beyond neutrality differentially decreases the ellipticity at 222 nm in a single transition having an apparent pK of greater than or equal to 13.2 for the R-containing peptides, 11.1 for the K-containing peptides, and 10.7 for the O-containing peptides. It is proposed that the difference in the ellipticity of the six peptides chiefly reflects the helix preferences for the variable residues supplemented by intrahelical electrostatic interactions in the neutral pH range.

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.