How topoisomerase IV can efficiently unknot and decatenate negatively supercoiled DNA molecules without causing their torsional relaxation

Freshly replicated DNA molecules initially form multiply interlinked right-handed catenanes. In bacteria, these catenated molecules become supercoiled by DNA gyrase before they undergo a complete decatenation by topoisomerase IV (Topo IV). Topo IV is also involved in the unknotting of supercoiled DNA molecules. Using Metropolis Monte Carlo simulations, we investigate the shapes of supercoiled DNA molecules that are either knotted or catenated. We are especially interested in understanding how Topo IV can unknot right-handed knots and decatenate right-handed catenanes without acting on right-handed plectonemes in negatively supercoiled DNA molecules. To this end, we investigate how the topological consequences of intersegmental passages depend on the geometry of the DNA-DNA juxtapositions at which these passages occur. We observe that there are interesting differences between the geometries of DNA-DNA juxtapositions in the interwound portions and in the knotted or catenated portions of the studied molecules. In particular, in negatively supercoiled, multiply interlinked, right-handed catenanes, we detect specific regions where DNA segments belonging to two freshly replicated sister DNA molecules form left-handed crossings. We propose that, due to its geometrical preference to act on left-handed crossings, Topo IV can specifically unknot supercoiled DNA, as well as decatenate postreplicative catenanes, without causing their torsional relaxation.     

Computer simulation of DNA supercoiling

We treat supercoiled DNA within a wormlike model with excluded volume. A modified Monte Carlo approach has been used, which allowed computer statistical-mechanical simulations of moderately and highly supercoiled DNA molecules. Even highly supercoiled molecules do not have a regular shape, though with an increase in writhing the chains look more and more like branched interwound helixes. The averaged writhing (Wr) approximately 0.7 delta Lk. The superhelical free energy F is calculated as a function of the linking number. Lk. The calculations have shown that the generally accepted quadratic dependence of F on Lk is valid for a variety of conditions, though it is by no means universal. Significant deviations from the quadratic dependence are expected at high superhelical density under ionic conditions where the effective diameter of DNA is small. The results are compared with the available experimental data.     

Supercoiled DNA-directed knotting by T4 topoisomerase.

The mechanism by which the type 2 topoisomerase from bacteriophage T4 mediates knotting of negatively supercoiled DNA was deduced from an analysis of product topology. The knotted products were nicked and then subjected to electrophoresis in order to separate species on the basis of the minimum number of crossings in the knotted form. Knots with defined numbers of crossings were purified and the configuration of these crossings determined in the electron microscope by the RecA coating method. The product knots were exclusively of the twist form, in which an interwound region is entrapped by a single interlock of two looped ends. The interwound region was of negative sign in greater than 98% of the molecules examined, whereas the single interlock was equally likely to be positive or negative. These results are interpreted in terms of a model for knot formation in which random strand passage mediated by the topoisomerase links bent or branched portions of a superhelix that has a specific interwound geometry. Superhelix interwinding and DNA contacts stabilized by excess enzyme molecules explain the very high frequency of knotting.     

The three-dimensional structure of supercoiled deoxyribonucleic acid in solution. Evidence obtained from the angular distribution of scattered light

1. The size and shape of superhelical double-stranded circular DNA from bacteriophage ØX174 were investigated by light-scattering. The molecular weight of the DNA is 3.17×10⁶ and the root-mean-square radius is 103.5nm. 2. The light-scattering envelopes of various theoretical three-dimensional models for such DNA molecules were calculated by repetitive computational techniques, and the results were compared with the experimental findings. 3. It is concluded that the structure of supercoiled DNA containing −12 superhelical turns in buffer of I0.2 corresponds best to one of the more compact models for superhelix structure such as the branched model, and the commonly employed straight interwound superhelix model is incompatible with the experimental results, at the superhelix density found.     

Curved helix segments can uniquely orient the topology of supertwisted DNA

To show that DNA containing sharp sequence-directed curvature can preferentially establish ends of supertwisted domains, a highly curved DNA from Crithidia fasciculata was cloned into two sites separated by 28% in pBR325. When this construct (pJGC2) was examined by electron microscopy, 63% of the supercoiled molecules were branched with three or more arms, and the remaining molecules appeared as linear interwound rods. The distance between the tips of two of the arms for the branched molecules measured within 2% of 28% of the DNA contour for 32% of the pJGC2 molecules, as contrasted with only 6.6% for the poorly branched pBR325 DNA. When one of the curved segments in pJGC2 was replaced by a highly curved fragment from SV40, similar results were obtained.     

The Listeria monocytogenesiap gene as an indicator gene for the study of PrfA-dependent regulation

The Bacillus subtilis 168 RecR protein bound to duplex DNA in the presence of ATP and divalent cations (Mg²⁺ and Zn²⁺) was visualized by electron microscopy as a nearly spherical particle. A RecR homomultimer is frequently located at the intersection of two duplex DNA strands in an interwound DNA molecule, generating DNA loops of variable length. Two individual DNA molecules bound to the same protein are seen at a very low frequency, if at all. The association of RecR with the intersection of two duplex DNA strands is more often seen in supercoiled than with relaxed or linear DNA. The RecR protein displays a slight but significant preference for negatively supercoiled over linear DNA. The minimum substrate size for RecR protein is about 150 bp in length. A possible mechanism for RecR function in DNA repair is discussed.     

Oversupercoiling and compactization of supercoiled DNA

Supercoiled DNA pGEMEX with length of 3993 nucleotides was immobilized on the different substrates (freshly cleaved mica, standard aminomica and modified aminomica) and visualized by atomic force microscopy. Plectonomically supercoiled DNA molecules as well as molecules with extremely high level of compactization (i.e. molecules with considerably higher supercoiled density values in comparing with experimentally measured and theoretically investigated ones) were visualized on modified aminomica. At the further increasing of the compactization level an axis length of oversupercoiled molecules was decreased from approximately 390 nm to approximately 140 nm and formation of minitoroids of approximately 50 nm diameter and molecules in sphere conformation were observed. Model of possible conformational transitions of supercoiled DNA was proposed basing on the analysis of captured AFM images at the increasing of supercoiling density.     

The Listeria monocytogenesiap gene as an indicator gene for the study of PrfA-dependent regulation

The Bacillus subtilis 168 RecR protein bound to duplex DNA in the presence of ATP and divalent cations (Mg²⁺ and Zn²⁺) was visualized by electron microscopy as a nearly spherical particle. A RecR homomultimer is frequently located at the intersection of two duplex DNA strands in an interwound DNA molecule, generating DNA loops of variable length. Two individual DNA molecules bound to the same protein are seen at a very low frequency, if at all. The association of RecR with the intersection of two duplex DNA strands is more often seen in supercoiled than with relaxed or linear DNA. The RecR protein displays a slight but significant preference for negatively supercoiled over linear DNA. The minimum substrate size for RecR protein is about 150 bp in length. A possible mechanism for RecR function in DNA repair is discussed. Received: 13 August 1996 / Accepted: 18 October 1996     

Structure of plectonemically supercoiled DNA

Using electron microscopy and topological methods, we have deduced an average structure for negatively supercoiled circular DNA in solution. Our data suggest that DNA has a branched plectonemic (interwound) form over the range of supercoiling tested. The length of the superhelix axis is constant at 41% of the DNA length, whereas the superhelix radius decreases essentially hyperbolically as supercoiling increases. The number of supercoils is 89% of the linking deficit. Both writhe and twist change with supercoiling, but the ratio of the change in writhe to the change in twist is fixed at 2.6:1. The extent of branching of the superhelix axis is proportional to the length of the plasmid, but is insensitive to superhelix density. The relationship between DNA flexibility constants for twisting and bending calculated using our structural data is similar to that deduced from previous studies. The extended thin form of plectonemically supercoiled DNA offers little compaction for cellular packaging, but promotes interaction between cis-acting sequence elements that may be distant in primary structure. We discuss additional biological implications of our structural data.     

The influence of salt on the structure and energetics of supercoiled DNA.

We present a detailed computational study of the influence of salt on the configurations, energies, and dynamics of supercoiled DNA. A potential function that includes both elastic and electrostatic energy components is employed. Specifically, the electrostatic term, with salt-dependent coefficients, is modeled after Stigter's pioneering work on the effective diameter of DNA as a function of salt concentration. Because an effective charge per unit length is used, the electrostatic formulation does not require explicit modeling of phosphates and can be used to study long DNAs at any desired resolution of charge. With explicit consideration of the electrostatic energy, an elastic bending constant corresponding to the nonelectrostatic part of the bending contribution to the persistence length is used. We show, for a series of salt concentrations ranging from 0.005 to 1.0 M sodium, how configurations and energies of supercoiled DNA (1000 and 3000 base pairs) change dramatically with the simulated salt environment. At high salt, the DNA adopts highly compact and bent interwound states, with the bending energy dominating over the other components, and the electrostatic energy playing a minor role in comparison to the bending and twisting terms. At low salt, the DNA supercoils are much more open and loosely interwound, and the electrostatic components are dominant. Over the range of three decades of salt examined, the electrostatic energy changes by a factor of 10. The buckling transition between the circle and figure-8 is highly sensitive to salt concentration: this transition is delayed as salt concentration decreases, with a particularly sharp increase below 0.1 M. For example, for a bending-to-twisting force constant ratio of A/C = 1.5, the linking number difference (delta LK) corresponding to equal energies for the circle and figure-8 increases from 2.1 to 3.25 as salt decreases from 1.0 to 0.005 M. We also present in detail a family of three-lobed supercoiled DNA configurations that are predicted by elasticity theory to be stable at low delta Lk. To our knowledge, such three-dimensional structures have not been previously presented in connection with DNA supercoiling. These branched forms have a higher bending energy than the corresponding interwound configurations at the same delta Lk but, especially at low salt, this bending energy difference is relatively small in comparison with the total energy, which is dominated by the electrostatic contributions. Significantly, the electrostatic energies of the three-lobed and (straight) interwound forms are comparable at each salt environment.(ABSTRACT TRUNCATED AT 400 WORDS)     

Compaction of single supercoiled DNA molecules adsorbed onto amino mica

A model of possible conformational transitions of supercoiled DNA in vitro in the absence of proteins under the conditions of increasing degree of compaction was developed. A 3993-bp pGEMEX supercoiled DNA immobilized on various substrates (freshly cleaved mica, standard amino mica, and modified amino mica with a hydrophobicity higher than that of standard amino mica) was visualized by atomic force microscopy in air. On the modified amino mica, which has an increased density of surface positive charges, single molecules with an extremely high degree of compaction were visualized in addition to plectonemic DNA molecules. As the degree of DNA supercoiling increased, the length of the first-order superhelical axis of molecules decreased from 570 to 370 nm, followed by the formation of second-and third-order superhelical axes about 280 and 140 nm long, respectively. The compaction of molecules ends with the formation of minitoroids about 50 nm in diameter and molecules of spherical shape. It was shown that the compaction of single supercoiled DNA molecules immobilized on amino mica to the level of minitoroids and spheroids is due to the shielding of mutually repulsing negatively charged phosphate groups of DNA by positively charged amino groups of the amino mica, which has a high charge density of its surface.     

Compaction of single supercoiled DNA molecules adsorbed onto amino mica

A model of possible conformational transitions of supercoiled DNA in vitro in the absence of proteins under the conditions of increasing degree of compaction was developed. A 3993-bp pGEMEX supercoiled DNA immobilized on various substrates (freshly cleaved mica, standard amino mica, and modified amino mica with a hydrophobicity higher than that of standard amino mica) was visualized by atomic force microscopy in air. On the modified amino mica, which has an increased density of surface positive charges, single molecules with an extremely high degree of compaction were visualized in addition to plectonemic DNA molecules. As the degree of DNA supercoiling increased, the length of the first-order superhelical axis of molecules decreased from 570 to 370 nm, followed by the formation of second- and third-order superhelical axes about 280 and 140 nm long, respectively. The compaction of molecules ends with the formation of minitoroids about 50 nm in diameter and molecules of spherical shape. It was shown that the compaction of single supercoiled DNA molecules immobilized on amino mica to the level of minitoroids and spheroids is due to the shielding of mutually repulsing negatively charged phosphate groups of DNA by positively charged amino groups of the amino mica, which has a high charge density of its surface.     

Linear dichroism characteristics of ethidium-and proflavine-supercoiled DNA complexes

A flow linear dichroism technique is utilized to study the unwinding of supercoiled DNA induced by the binding of ethidium bromide (EB) and proflavine (PF) at different ratios r (drug added/DNA base). In the case of either EB or PF bound to linear calf thymus DNA, the reduced linear dichroism signals LD/A (LD: linear dichroism; A: absorbance, both measured at the same wavelength), determined at 258, and 520 or 462 nm (corresponding to contributions predominantly from the partially oriented DNA bases, intercalated EB, or PF, respectively) are nearly independent of drug concentration. In the case of supercoiled DNA, the magnitude of LD/A at 258 nm first increases to a maximum value near r = 0.04-0.05, and then decreases as r is increased further, mimicking the behavior of the sedimentation coefficients, viscosities, and gel electrophoresis patterns measured by other workers at similar values of r. However, LD/A at 520 nm, which is due to DNA-bound EB molecules, is constant within the range of r values of 0.02-0.06 in which the magnitude of LD/A determined at 258 nm due to the DNA bases exhibits a pronounced maximum. In contrast, in the case of PF, the magnitudes of LD/A determined at 258 or 462 nm are characterized by similar dependencies on r, both exhibiting pronounced maxima at r = 0.05; this parallel behavior is expected according to a simple intercalation model in which the DNA bases and drug molecules are stacked on top of one another, and in which both are oriented to similar extents in the flow gradient. The unexpected differences in the dependencies of (LD/A)258 and (LD/A)520 on r in the case of EB bound to supercoiled DNA, are attributed to differences in the net overall alignment of the EB molecules and DNA bases in the flow gradient. The magnitude of the LD signal at 258 nm reflects the overall degree of orientation of the supercoiled DNA molecules that, in turn, depends on their hydrodynamic shapes and sizes; the LD signals characterizing the bound EB molecules may reflect this orientation also, as well as the partial alignment of individual DNA segments containing bound EB molecules.(ABSTRACT TRUNCATED AT 400 WORDS)     

Intramolecular compactization of circular DNA in interaction with dansyl hydrazide trivaline leading to a formation of a new type of structure--triple rings

Compactization of supercoiled circular plasmid pBR322 caused by interaction with synthetic oligopeptide dansyl hydrazide trivaline capable of beta-structure formation was studied by electron microscopy. The results show that at rising input peptide concentration circular DNA molecules undergo intramolecular structural transition with the formation of compact ring structures. The compact ring structures are formed by the fiber having the thickness of 60 A. The analysis of morphology of intermediate structures and the contour length measurements enable us to conclude that 60 A-fiber contains three lying side-by-side and interwound double-stranded DNA segments. Thus, the compact ring structures are addressed to as triple rings. The triple ring have one special point, where the triple region ends are locked by a duplex DNA segment. The mechanisms responsible for the triple ring formation may be of importance for DNA and chromatin compactization processes in vivo.     

Interactions of protein complexes on supercoiled DNA: the mechanism of selective synapsis by Tn3 resolvase

"Looping" interactions of distant sites on DNA molecules, mediated by DNA-binding proteins, feature in many regulated genetic processes. We used plasmids containing up to six res recombination sites for Tn3 resolvase to analyse looping interactions (synapsis) in this system. We observed that in plasmids with four or more res sites, certain pairs of sites recombine faster than others. The relative rates of recombination depend on the number, relative orientation, and arrangement of the sites. To account for the differences in rate, we propose that pairing interactions between resolvase-bound res sites are in a state of rapid flux, leading to configurations in which the maximum number of sites within each supercoiled substrate molecule are synapsed in a topologically simple arrangement. Recombination rates reflect the steady state concentrations of these synapse configurations. Our results are at variance with models for selective synapsis that rely on ordered motions within supercoiled DNA, "slithering" or "tracking", but are compatible with models that call for reversible synapsis of pairs of sites by random collision, followed by formation of an interwound productive synapse.     

Knot what we thought before: the twisted story of replication.

DNA replication requires the unwinding of the parental duplex, which generates (+) supercoiling ahead of the replication fork. It has been thought that removal of these (+) supercoils was the only method of unlinking the parental strands. Recent evidence implies that supercoils can diffuse across the replication fork, resulting in interwound replicated strands called precatenanes. Topoisomerases can then act both in front of and behind the replication fork. A new study by Sogo et al. [J Mol Biol 1999;286:637-643 (Ref. 1)], using a topological analysis, provides the best evidence that precatenanes exist in negatively supercoiled, partially replicated molecules in vivo.     

Geometric arrangements of Tn3 resolvase sites

Site-specific recombination by Tn3 resolvase normally occurs in vitro and in vivo only between directly repeated res sites on the same supercoiled DNA molecule. However, with multiply interlinked catenane substrates consisting of two DNA rings each containing a single res site, resolvase efficiently carried out intermolecular recombination. The topology of the knots produced by several rounds of this reaction proves that the DNA within the synaptic intermediate is coiled in an interwound (plectonemic) fashion rather than wrapped solenoidally around resolvase as in previously characterized supercoiled DNA-protein complexes. The synaptic intermediate can contain equivalently supercoil, catenane, or knot crossings as long as the res sites have a right-handed coiling and a particular relative orientation. The structure of the product knots and catenanes also shows the path the DNA takes during strand exchange. Intermolecular recombination within multiply linked catenanes required negative supercoiling, as does the standard intramolecular reaction.     

Brownian dynamics simulation of DNA condensation.

DNA condensation observed in vitro with the addition of polyvalent counterions is due to intermolecular attractive forces. We introduce a quantitative model of these forces in a Brownian dynamics simulation in addition to a standard mean-field Poisson-Boltzmann repulsion. The comparison of a theoretical value of the effective diameter calculated from the second virial coefficient in cylindrical geometry with some experimental results allows a quantitative evaluation of the one-parameter attractive potential. We show afterward that with a sufficient concentration of divalent salt (typically approximately 20 mM MgCl(2)), supercoiled DNA adopts a collapsed form where opposing segments of interwound regions present zones of lateral contact. However, under the same conditions the same plasmid without torsional stress does not collapse. The condensed molecules present coexisting open and collapsed plectonemic regions. Furthermore, simulations show that circular DNA in 50% methanol solutions with 20 mM MgCl(2) aggregates without the requirement of torsional energy. This confirms known experimental results. Finally, a simulated DNA molecule confined in a box of variable size also presents some local collapsed zones in 20 mM MgCl(2) above a critical concentration of the DNA. Conformational entropy reduction obtained either by supercoiling or by confinement seems thus to play a crucial role in all forms of condensation of DNA.     

Conformational and thermodynamic properties of supercoiled DNA.

We used Monte Carlo simulations to investigate the conformational and thermodynamic properties of DNA molecules with physiological levels of supercoiling. Three parameters determine the properties of DNA in this model: Kuhn statistical length, torsional rigidity and effective double-helix diameter. The chains in the simulation resemble strongly those observed by electron microscopy and have the conformation of an interwound superhelix whose axis is often branched. We compared the geometry of simulated chains with that determined experimentally by electron microscopy and by topological methods. We found a very close agreement between the Monte Carlo and experimental values for writhe, superhelix axis length and the number of superhelical turns. The computed number of superhelix branches was found to be dependent on superhelix density, DNA chain length and double-helix diameter. We investigated the thermodynamics of supercoiling and found that at low superhelix density the entropic contribution to superhelix free energy is negligible, whereas at high superhelix density, the entropic and enthalpic contributions are nearly equal. We calculated the effect of supercoiling on the spatial distribution of DNA segments. The probability that a pair of DNA sites separated along the chain contour by at least 50 nm are juxtaposed is about two orders of magnitude greater in supercoiled DNA than in relaxed DNA. This increase in the effective local concentration of DNA is not strongly dependent on the contour separation between the sites. We discuss the implications of this enhancement of site juxtaposition by supercoiling in the context of protein-DNA interactions involving multiple DNA-binding sites.