Effect of magnesium on cruciform extrusion in supercoiled DNA.

Recently, it was reported that Mg2+greatly facilitates cruciform extrusion in the short palindromes of supercoiled DNA, thereby allowing the formation of cruciform structures in vivo. Because of the potential biological importance of this phenomenon, we undertook a broader study of the effect of Mg2+on a cruciform extrusion in supercoiled DNA. The method of two-dimensional gel electrophoresis was used to detect the cruciform extrusion both in the absence and in the presence of these ions. Our results show that Mg2+shifts the cruciform extrusion in the d(CCC(AT)16GGG) palindrome to a higher, rather than to a lower level of supercoiling. In order to study possible sequence-specific properties of the short palindromes for which the unusual cruciform extrusion in the presence Mg2+was reported, we constructed a plasmid with a longer palindromic region. This region bears the same sequences in the hairpin loops and four-arm junction as the short palindrome, except that the short stems of the hairpins are extended. The extension allowed us to overcome the limitation of our experimental approach which cannot be used for very short palindromes. Our results show that Mg2+also shifts the cruciform extrusion in this palindrome to a higher level of supercoiling. These data suggest that cruciform extrusion in the short palindromes at low supercoiling is highly improbable. We performed a thermodynamic analysis of the effect of Mg2+on cruciform extrusion. The treatment accounted for the effect of Mg2+on both free energy of supercoiling and the free energy of cruciform structure per se. Our analysis showed that although the level of supercoiling required for the cruciform extrusion is not reduced by Mg2+, the ions reduce the free energy of the cruciform structure.     

Large-scale opening of A + T rich regions within supercoiled DNA molecules is suppressed by salt.

Large-scale cooperative helix opening has been previously observed in A + T rich sequences contained in supercoiled DNA molecules at elevated temperatures. Since it is well known that helix melting of linear DNA is suppressed by addition of salt, we have investigated the effects of added salts on opening transitions in negatively supercoiled DNA circles. We have found that localised large-scale stable melting in supercoiled DNA is strongly suppressed by modest elevation of salt concentration, in the range 10 to 30 mM sodium. This has been shown in a number of independent ways: 1. The temperature required to promote cruciform extrusion by the pathway that proceeds via the coordinate large-scale opening of an A + T rich region surrounding the inverted repeat (the C-type pathway, first observed in the extrusion of the ColE1 inverted repeat) is elevated by addition of salt. The temperature required for extrusion was increased by about 4 deg for an addition of 10 mM NaCl. 2. A + T rich regions in supercoiled DNA exhibit hyperreactivity towards osmium tetroxide as the temperature is raised; this reactivity is strongly suppressed by the addition of salt. At low salt concentrations of added NaCl (10 mM) we observe that there is an approximate equivalence between reducing the salt concentration, and the elevation of temperature. Above 30 mM NaCl the reactivity of the ColE1 sequences is completely supressed at normal temperatures. 3. Stable helix opening transitions in A + T rich sequences may be observed with elevated temperature, using two-dimensional gel electrophoresis; these transitions become progressively harder to demonstrate with the addition of salt. With the addition of low concentrations of salt, the onset of opening transitions shifts to higher superhelix density, and by 30 mM NaCl or more, no transitions are visible up to a temperature of 50 degrees C. Statistical mechanical simulation of the data indicate that the cooperativity free energy for the transition is unaltered by addition of salt, but that the free energy cost for opening each basepair is increased. These results demonstrate that addition of even relatively low concentrations of salt strongly suppress the large-scale helix opening of A + T rich regions, even at high levels of negative supercoiling. While the opening at low salt concentrations may reveal a propensity for such transitions, spontaneous opening is very unlikely under physiological conditions of salt, temperature and superhelicity, and we conclude that proteins will therefore be required to facilitate opening transitions in cellular DNA.     

Competing B-Z and helix-coil conformational transitions in supercoiled plasmid DNA.

The formation of melted regions from A + T-rich sequences and left-handed Z-DNA by alternating purine-pyrimidine sequences will both be facilitated by negative supercoiling, and thus if the sequences are present within the same plasmid molecule they will compete for the free energy of supercoiling. We have studied a series of plasmids that contain either (CG)8 or (TG)12 sequences in either G + C or A + T-rich contexts, by means of two-dimensional gel electrophoresis and chemical modification. We observe both B-Z and helix-coil transitions in all plasmids at elevated temperatures and low ionic strength. The plasmids fall into a number of different classes, in terms of the conformational behavior. As the superhelix density is increased, pCG8/vec ((CG)8 in G + C-rich context) undergoes an initial B-Z transition, followed by melting transitions in sequences remote from the (CG)8 sequence. The two transitions are coupled through the topology of the molecule but are otherwise independent. When the (CG)8 sequence was placed in an A + T-rich context (pCG8/col), the helix-coil transition was perturbed by the presence of the Z-DNA segment. Replacement of the (CG)8 tracts by (TG)12 sequences resulted in a further level of interaction between the transitions. Statistical mechanical modeling of the transitions suggested that at intermediate levels of negative supercoiling the Z-DNA formed by the (TG)12 sequence has a lowered probability due to the helix-coil transition in the A + T-rich sequences. These studies illustrate the complexities of competing conformational equilibria in supercoiled DNA molecules.     

Cruciform transitions in DNA

The rates of transition between the cruciform and linear conformations of a perfectly inverted repeated lac operator DNA sequence have been measured using a trimethylpsoralen intrastrand cross-linking assay. The rate and extent of the linear to cruciform transition were dependent on temperature and on the superhelical density of the DNA. Apparent half-lives for this transition were between 4-9 min at 37 degrees C for supercoiled DNAs as isolated from cells. The half-life for the cruciform to linear transition in relaxed DNA was about 30 s at 37 degrees C. Mg2+ stabilized both conformations but stabilized the linear form to a greater degree than the cruciform. The rates of transition were temperature dependent suggesting enthalpies of activation of 26.3 kcal mol-1 for the cruciform to linear transition and 33.4 kcal mol-1 for the linear to cruciform transition. The rate of the linear to cruciform transition was slower at 50 than 37 degrees C. Heating above 70 degrees C resulted in the loss of the cruciform structure.     

The physical chemistry of cruciform structures in supercoiled DNA molecules

Inverted repeat DNA sequences extrude cruciform structures when present in negatively supercoiled molecules, stabilised by the release of torsional stress brought about by the negative twist change. We have revealed the presence of cruciform structures by means of enzyme and chemical probing experiments and topological band shift methods. The geometry of cruciform structures has been studied from two points of view. The unpairing of bases in the loop region has been investigated using bisulphite modification, with the result that the central four nucleotides have single-stranded character, and the next pair have only partially single-stranded nature. Gel electrophoretic studies of a pseudo-cruciform structure indicate that the cruciform junction introduces a pronounced bend into the molecule. The dependence of the formation of the ColE1 cruciform upon DNA supercoiling shows that it has a free energy of formation of 18.4 +/- 0.5 kcal mole-1. The kinetics of the extrusion process are complex. Most sequences extrude slowly with considerable temperature coefficients, but the detailed properties are strongly sequence-dependent. One synthetic inverted repeat sequence which we have studied in detail has an Arrhenius activation energy of 42.4 +/- 3.2 kcal mole-1. We discuss possible mechanistic pathways for the extrusion process.     

Helix stability and the mechanism of cruciform extrusion in supercoiled DNA molecules

The kinetic properties of cruciform extrusion in supercoiled DNA molecules fall into two main classes. C-type cruciforms extrude in the absence of added salt, at relatively low temperatures, with large activation energies, while S-type cruciforms exhibit no extrusion in the absence of salt, and maximal rates at 50 mM NaCl, with activation energies about one quarter those of the C-type. These diverse properties are believed to reflect two distinct pathways for the extrusion process, and are determined by the nature of the sequences which form the context of the inverted repeat. C-type kinetics are conferred by A + T rich sequences, implying a role of helix stability in the selection. In this study we have shown that: 1. Helix-destabilising solvents (dimethyl formamide and formamide) facilitate extrusion by normally S-type molecules at low temperatures in the absence of salt. 2. C-type extrusion is strongly suppressed by low concentrations (2-4 microM) distamycin, at which concentrations S-type extrusion is enhanced. 3. Some extrusion occurs in a C-type construct in the presence of 50 mM NaCl. This is increased by addition of 3 microM distamycin, under which conditions extrusion becomes effectively S-type. Thus S-type constructs can behave in a quasi-C-type manner in the presence of helix-destabilising solvents, and C-type extrusion is suppressed by binding a compound which stabilises A + T rich regions of DNA. Helix destabilisation leads to C-type behaviour, while helix stabilisation results in S-type properties. These studies demonstrate the influence of contextual helix stability on the selection of kinetic mechanism of cruciform extrusion.     

The kinetic properties of cruciform extrusion are determined by DNA base-sequence.

The extrusion kinetics of two cruciforms derived from unrelated DNA sequences differ markedly. Kinetic barriers exist for both reactions, necessitating elevated temperatures before extrusion proceeds at measureable speeds, but the dependence upon temperature and ionic strength is quite different for the two sequences. One, the ColE1 inverted repeat, exhibits a remarkably great temperature dependence of reaction rate and is suppressed by moderate amounts of NaCl or MgCl2. In contrast, the other, a synthetic inverted repeat present in pIRbke8, shows more modest temperature dependence and has a requirement for the presence of salt, with optimal concentrations being 50 mM NaCl or 100 microM MgCl2. Under optimal conditions, cruciform extrusion rates are fast (t1/2 less than 60m) at 37 degrees C for both sequences at native superhelix densities. In 50 mM NaCl the pIRbke8 inverted repeat is characterised by an Arrhenius activation energy of 42.4 +/- 3.2 kcal mole -1. The differences in kinetic properties between the two sequences indicate that DNA base sequence is itself an important factor in determining cruciform kinetics, and possibly even in the selection of the mechanistic pathway.     

Localized chemical hyperreactivity in supercoiled DNA: evidence for base unpairing in sequences that induce low-salt cruciform extrusion

Certain A + T-rich DNA sequences (C-type inducing sequences) cause adjacent inverted repeats to undergo cruciform extrusion by a particular pathway (C-type extrusion), which is characterized by large activation energies and extrusion at low salt concentrations and relatively low temperatures. When they are supercoiled, these sequences become reactive toward the normally single-strand-selective reagents bromoacetaldehyde, glyoxal, osmium tetraoxide, and sodium bisulfite. The following evidence is presented: (1) The most reactive sequences are those to the left of the inverted repeat. (2) Chemical reactivity is suppressed by either sodium chloride or micromolar concentrations of distamycin. The suppression of reactivity closely parallels that of C-type cruciform extrusion. (3) Chemical reactivity requires a threshold level of negative supercoiling. The threshold superhelix density depends on the prevailing salt concentration. (4) Analysis of temperature dependences suggests that reaction with osmium tetraoxide involves transient unstacking events, while bromoacetaldehyde requires larger scale helix opening. Thus a variety of opening events may occur in the supercoiled A + T-rich sequences, from small-amplitude breathing to low-frequency, large-amplitude openings. The latter appear to be responsible for C-type cruciform extrusion.     

Long range structural communication between sequences in supercoiled DNA. Sequence dependence of contextual influence on cruciform extrusion mechanism

Sequence context may profoundly alter the character of structural transitions in supercoiled DNA (Sullivan, K. M., and Lilley, D. M. J. (1986) Cell 47, 817-827). The A + T-rich sequences of ColE1, which flank the inverted repeat, are responsible for cruciform extrusion following a mechanistic pathway which proceeds via a relatively large denatured region. This C-type mechanism results in kinetic properties which are very different from those of the S-type pathway, the normal mechanism of cruciform extrusion in the absence of the ColE1 flanking sequences. We have analyzed the sequence requirements for the induction of the C-type pathway. The 100-base pair left side sequence of ColE1 (colL) was subjected to systematic deletion using Bal31 exonucleolysis, showing that removal of 30 base pairs from its right end abolished extrusion by the C-type process. A cloned oligonucleotide of the same 30-base pair sequence was sufficient to confer C-type cruciform extrusion on an adjacent inverted repeat. An A + T-rich sequence from Drosophila was found to act like the ColE1 sequences. We have studied the effects of introducing sequences between the A + T-rich colL, and the inverted repeat on which it acts. A range of such fragments was found, from those which augment the effect of colL to those which block it completely. In general, it appears that the ability of a sequence to block the effect of colL depends on both the length and G + C content of the fragment. The sequences which are responsible for the extrusion by the C-type pathway are termed C-type inducing sequences, while sequences which are interposed between the inducing sequence and the inverted repeat, and which may either augment or attenuate the effect, but which cannot function as inducing sequences in isolation, are termed transmitting sequences. The results of these studies are most readily consistent with long range destabilization of DNA structure via telestability effects.     

Long-range structural effects in supercoiled DNA: statistical thermodynamics reveals a correlation between calculated cooperative melting and contextual influence on cruciform extrusion

We have previously described [K. M. Sullivan and D. M. J. Lilley (1986) Cell 47, 817-827] a set of sequences, called C-type inducing sequences, which cause cruciform extrusion by adjacent inverted repeats to occur by an abnormal kinetic pathway involving a large denatured region of DNA. In this paper we apply statistical thermodynamic DNA helix melting theory to these sequences. We find a marked correlation between the ability of sequences to confer C-type cruciform character experimentally and their calculated propensity to undergo cooperative melting, and no exceptions have been found. The correlations are both qualitative and quantitative. Thus the ColE1 flanking sequences behave as single melting units, while the DNA of the S-type plasmid pIRbke8 exhibits no propensity to melt in the region of the bke cruciform. The results of the calculations are also fully consistent with the following experimental observations: 1. the ability of the isolated colL and colR fragments of the ColE1 flanking sequences, as well as the short sequence col30, to confer C-type character; 2. C-type induction by an A + T rich Drosophila sequence; 3. low-temperature cruciform extrusion by an (AT)34 sequence; 4. the effect of changing sequences at a site 90 base pairs (bp) removed from the inverted repeat; 5. the effects of systematic deletion of the colL sequence; and 6. the effects of insertion of various sequences in between the colL sequence and the xke inverted repeat. These studies show that telestability effects on thermal denaturation as predicted from equilibrium helix melting theory of linear DNA molecules may explain all the features that are revealed by studying the extrusion of cruciforms in circular DNA molecules subjected to superhelical stress.     

Conformational isomerization of the Holliday junction associated with a cruciform during branch migration in supercoiled plasmid DNA

The variable positions of a branch-migrating cruciform junction in supercoiled plasmid DNA were mapped following cleavage of the DNA with bacteriophage T7 endonuclease I. T7 endonuclease I specifically cleaved, and thereby resolved, the Holliday junction existing at the base of the cruciform in the circular bacterial plasmid pSA1B.56A. Cruciform extrusion of cloned sequences in pSA1B.56A (containing a 322 base-pair inverted repeat insert composed of poxvirus telomeric sequences) topologically relaxed the plasmid substrate in vitro. Thus, numerous crossover positions were identified within the region of cloned sequences, reflecting the range of superhelical densities in the native plasmid preparation. Endonuclease I-sensitive crossover positions, mapped to both strands of the viral insert following the T7 endonuclease I digestion of either plasmid preparations or individual topoisomers, were regularly separated by approximately ten nucleotides. The appearance of sensitive crossovers every ten nucleotides corresponds to a change in linking difference (delta Lk) of +/- 2 in the circular core domain of the plasmid during branch point migration. In contrast, individual topoisomers of a plasmid preparation differ in linking number in increments of +/- 1. Thus, the observed linearization of each individual topoisomer following enzyme treatment, as a result of resolution of the crossovers associated with each topoisomer, showed that branch point migration to sensitive crossover positions must have occurred facilely. T7 endonuclease I randomly resolved across either axis of the cruciform, though some discrimination (related to the sequence specificity of the enzyme) was observed. The ten-nucleotide spacing between sensitive crossover positions is accounted for by an isomerization of the cruciform junction on branch point migration. An hypothesis is that this isomerization was imposed upon the cruciform junction by the change in helix twist (delta Tw) in the two branches that compose the topologically closed, circular domain of the plasmid. T7 endonuclease I may discriminate between the various isomeric forms and cleave a sensitive conformation that appears with every turn of branch migration which leads to the extrusion, or absorption, of two turns of helix from the circular core.     

Interarm interaction of DNA cruciform forming at a short inverted repeat sequence

A novel interarm interaction of DNA cruciform forming at inverted repeat sequence was characterized using an S1 nuclease digestion, permanganate oxidation, and microscopic imaging. An inverted repeat consisting of 17 bp complementary sequences was isolated from the bluegill sunfish Lepomis macrochirus (Perciformes) and subcloned into the pUC19 plasmid, after which the supercoiled recombinant plasmid was subjected to enzymatic and chemical modification. In high salt conditions (200 mM NaCl, or 100-200 mM KCl), S1 nuclease cut supercoiled DNA at the center of palindromic symmetry, suggesting the formation of DNA cruciform. On the other hand, S1 nuclease in the presence of 150 mM NaCl or less cleaved mainly the 3'-half of the repeat, thereby forming an unusual structure in which the 3'-half of the inverted repeat, but not the 5'-half, was retained as an unpaired strand. Permanganate oxidation profiles also supported the presence of single-stranded part in the 3'-half of the inverted repeat in addition to the center of the symmetry. Both electron microscopy and atomic force microscopy have detected a thick protrusion on the supercoiled DNA harboring the inverted repeat. We hypothesize that the cruciform hairpins at conditions favoring triplex formation adopt a parallel side-by-side orientation of the arms allowing the interaction between them supposedly stabilized by hydrogen bonding of base triads.     

The kinetics of DNA helix-coil subtransitions

The kinetic analysis of individual helix-coil subtransitions were performed by comparing melting and renaturation profiles obtained at different temperature change rates. The duration of the three transition stages and its dependence on temperature and ionic strength were determined for a T7 phage DNA fragment. The obtained temperature dependence of the melting time for a stretch flanked by melted regions is in quantitative agreement with that predicted by the theory of slow processes (V.V. Anshelevich, A.V. Vologodskii, A.V. Lukashin, M.D. Frank-Kamenetskii, Biopolymers 23, 39 (1984)). The reasons are discussed for the increasing relaxation time of this stretch in the middle of its transition with decreasing ionic strength. The zipping kinetics of a melted region under essentially nonequilibrium conditions was examined for T7 fragment and pAO3 DNAs. The obtained temperature dependence of the zipping time is in quantitative agreement with calculations based on the theory of slow processes. The renaturation times of stretches flanked by helical regions proved fairly small even at a low ionic strength. These times are several orders of magnitude smaller than the renaturation times of the same stretches with one helical boundary. A formal application of the theory of slow processes failed to account for the small renaturation times of stretches that are zipped from both ends. This is probably due to the non-allowance for the changing entropy of the loop linking two helix-coil boundaries migrating towards each other. Slow processes have been revealed in the intramolecular melting of Col E1 DNA at a high ionic strength. The reason for the long relaxation time of one subtransition is the large size of the loop that separates the melting stretch from the helical part of the molecule. This result can be accounted for by the theory of slow processes.     

Self-catalyzed site-specific depurination of G residues mediated by cruciform extrusion in closed circular DNA plasmids

A major variety of "spontaneous" genomic damage is endogenous generation of apurinic sites. Depurination rates vary widely across genomes, occurring with higher frequency at "depurination hot spots." Recently, we discovered a site-specific self-catalyzed depurinating activity in short (14-18 nucleotides) DNA stem-loop-forming sequences with a 5'-G(T/A)GG-3' loop and T·A or G·C as the first base pair at the base of the loop; the 5'-G residue of the loop self-depurinates at least 10(5)-fold faster than random "spontaneous" depurination at pH 5. Formation of the catalytic intermediate for self-depurination in double-stranded DNA requires a stem-loop to extrude as part of a cruciform. In this study, evidence is presented for self-catalyzed depurination mediated by cruciform formation in plasmid DNA in vitro. Cruciform extrusion was confirmed, and its extent was quantitated by digestion of the plasmid with single strand-specific mung bean endonuclease, followed by restriction digestion and sequencing of resulting mung bean-generated fragments. Appearance of the apurinic site in the self-depurinating stem-loop was confirmed by digestion of plasmid DNA with apurinic endonuclease IV, followed by primer extension and/or PCR amplification to detect the endonuclease-generated strand break and identify its location. Self-catalyzed depurination was contingent on the plasmid being supercoiled and was not observed in linearized plasmids, consistent with the presence of the extruded cruciform in the supercoiled plasmid and not in the linear one. These results indicate that self-catalyzed depurination is not unique to single-stranded DNA; rather, it can occur in stem-loop structures extruding from double-stranded DNA and therefore could, in principle, occur in vivo.     

Detection of cruciform extrusion in DNA by temperature-gradient gel electrophoresis

Repetitive sequences in DNA molecules, some of which are palindromic, tend to form stable cruciforms. These are frequently located in promoter regions of a specific operon and origin of replication. Temperature gradient gel electrophoresis can be used to distinguish among various supercoiled DNA topoisomers and to ascertain whether or not the cruciform motif has been extruded. In the current study, this technique is implemented for the first time to address the role of temperature in cruciform extrusion from plasmids.     

Structure- and sequence-specificity of ozone degradation of supercoiled plasmid DNA.

Ozone-reactive sites on the nucleobase moieties in supercoiled pBR322 DNA were investigated by using sequencing procedures. Ozonolysis in the absence of salt resulted in degradation of thymine residues in the A + T rich region located at 3100-3400bp. In the presence of salt, such as NaCl or MgCl2, a conformational change of plasmid DNA was induced. Subsequently the thymine and guanine residues in the loop of the cruciform located at 3120bp and 3220bp were degraded. In addition, central thymine residues present in sequences GTA, GTT and ATA were also degraded.     

Cruciform extrusion in plasmids bearing the replicative intermediate configuration of a poxvirus telomere

The transition from lineform DNA to cruciform DNA (cruciformation) within the cloned telomere sequences of the Leporipoxvirus Shope fibroma virus (SFV) has been studied. The viral telomere sequences have been cloned in recombination-deficient Escherichia coli as a 322 base-pair, imperfect palindromic insert in pUC13. The inverted repeat configuration is equivalent to the arrangement of the telomere structures observed within viral DNA replicative intermediates. A major cruciform structure in the purified recombinant plasmid has been identified and mapped using, as probes, the enzymes AflII, nuclease S1 and bacteriophage T7 endonuclease I. It was extruded from the central axis of the cloned viral inverted repeat and, by unrestricted branch migration, attained a size commensurate with the superhelical density of the plasmid molecule at native superhelical densities. This major cruciform extrusion event was the only detectable duplex DNA perturbation, induced by negative superhelical torsion, in the insert viral sequences. No significant steady-state pool of extruded cruciform was identified in E. coli. However, the identification of a major deletion variant generated even in the recombination-deficient E. coli strain DB1256 (recA recBC sbcB) suggested that the cruciform may be extruded transiently in vivo. The lineform to cruciform transition has been further characterized in vitro using two-dimensional agarose gel electrophoresis. The transition was marked by a high energy of formation (delta Gf = 44 kcal/mol), and an apparently low activation energy that enabled facile transitions at physiological temperatures provided there was sufficient torsional energy. By comparing cruciformation in a series of related bidirectional central axis deletions of the telomeric insert, it has been concluded that the presence of extrahelical bases in the terminal hairpin structures contributes substantially to the high delta Gf value. Also, viral sequences flanking the extruded cruciform were shown to influence the measured delta Gf value. Several general features of poxvirus telomere structure that would be expected to influence the facility of cruciform extrusion are discussed along with the implications of the observed cruciform transition event on the replicative process of poxviruses in vivo.     

The Kinetics of DNA Helix-Coil Subtransitions

Abstract

The kinetic analysis of individual helix-coil subtransitions was performed by comparing melting and renaturation profiles obtained at different temperature change rates. The duration of the three transition stages and its dependence on temperature and ionic strength were determined for a T7 phage DNA fragment. The obtained temperature dependence of the melting time for a stretch flanked by melted regions is in quantitative agreement with that predicted by the theory of slow processes (V.V. Anshelevich, A.V. Vologodskii, A.V. Lukashin, M.D. Frank-Kamenetskii, Biopolymers 23, 39 (1984)). The reasons are discussed for the increasing relaxation time of this stretch in the middle of its transition with decreasing ionic strength.

The zipping kinetics of a melted region under essentially nonequilibrium conditions was examined for T7 fragment and pAO3 DNAs. The obtained temperature dependence of the zipping time is in quantitative agreement with calculations based on the theory of slow processes.

The renaturation times of stretches flanked by helical regions proved fairly small even at a low ionic strength. These times are several orders of magnitude smaller than the renaturation times of the same stretches with one helical boundary. A formal application of the theory of slow processes failed to account for the small renaturation times of stretches that are zipped from both ends. This is probably due to the non-allowance for the changing entropy of the loop linking two helix-coil boundaries migrating towards each other.

Slow processes have been revealed in the intramolecular melting of Col E1 DNA at a high ionic strength. The reason for the long relaxation time of one subtransition is the large size of the loop that separates the melting stretch from the helical part of the molecule. This result can be accounted for by the theory of slow processes.