DNA gyrase and the supercoiling of DNA.

Negative supercoiling of bacterial DNA by DNA gyrase influences all metabolic processes involving DNA and is essential for replication. Gyrase supercoils DNA by a mechanism called sign inversion, whereby a positive supercoil is directly inverted to a negative one by passing a DNA segment through a transient double-strand break. Reversal of this scheme relaxes DNA, and this mechanism also accounts for the ability of gyrase to catenate and uncatenate DNA rings. Each round of supercoiling is driven by a conformational change induced by adenosine triphosphate (ATP) binding: ATP hydrolysis permits fresh cycles. The inhibition of gyrase by two classes of antimicrobials reflects its composition from two reversibly associated subunits. The A subunit is particularly associated with the concerted breakage-and-rejoining of DNA and the B subunit mediates energy transduction. Gyrase is a prototype for a growing class of prokaryotic and eukaryotic topoisomerases that interconvert complex forms by way of transient double-strand breaks.

Biochemical topology: applications to DNA recombination and replication.

Processes of DNA rearrangement such as recombination or replication frequently have as products different subsets of the limitless number of distinguishable catenanes or knots. The use of gel electrophoresis and electron microscopy for analysis of these topological isomers has made it possible to deduce physical and geometric features of DNA structure and reaction mechanisms that are otherwise experimentally inaccessible. Quantitative as well as qualitative characterization is possible for any pathway in which the fate of a circular DNA can be followed. The history, theory, and techniques are reviewed and illustrative examples from recent studies are presented.

A sign inversion mechanism for enzymatic supercoiling of DNA.

Both the introduction and the removal of supertwists by DNA gyrase change the linking number of DNA in steps of two. This surprising finding provides strong evidence that gyrase acts by a mechanism, called sign inversion, whereby a positive supercoil is directly inverted into a negative one via a transient double-strand break.

Helical repeat and linking number of surface-wrapped DNA.

The geometric properties of duplex DNA are systematically altered when the DNA is wrapped on a protein surface. The linking number of surface-wrapped closed circular DNA is the sum of two integers: the winding number, phi, a function of the helical repeat; and the surface linking number, SLk, a newly defined geometric constant that accounts for the effects of surface geometry on the twist and writhe of DNA. Changes in the helical repeat, h, and in the winding number can be deduced solely from surface geometry and superhelix density, sigma. This treatment relates the theoretically important properties twist and writhe to the more experimentally accessible quantities phi, h, SLk, and sigma. The analysis is applied to three biologically important cases: interwinding of DNA in a plectonemic superhelix, catenated DNA, and minichromosomes.

Discovery of a predicted DNA knot substantiates a model for site-specific recombination.

The mechanism of site-specific genetic recombination mediated by Tn3 resolvase has been investigated by a topological approach. Extrapolation of a detailed model of synapsis and strand exchange predicts the formation of an additional DNA product with a specific knotted structure. Two-dimensional gel electrophoresis of DNA reacted in vitro revealed a product, about 0.1 percent of the total, with the appropriate mobility. A technique for determining DNA topology by electron microscopy was improved such that less than a nanogram of DNA was required. The structure of the knot was as predicted, providing strong evidence for the model and showing the power of the topological method.

Simplification of DNA topology below equilibrium values by type II topoisomerases.

Type II DNA topoisomerases catalyze the interconversion of DNA topoisomers by transporting one DNA segment through another. The steady-state fraction of knotted or catenated DNA molecules produced by prokaryotic and eukaryotic type II topoisomerases was found to be as much as 80 times lower than at thermodynamic equilibrium. These enzymes also yielded a tighter distribution of linking number topoisomers than at equilibrium. Thus, topoisomerases do not merely catalyze passage of randomly juxtaposed DNA segments but control a global property of DNA, its topology. The results imply that type II topoisomerases use the energy of adenosine triphosphate hydrolysis to preferentially remove the topological links that provide barriers to DNA segregation.

Induction of specific transcription by RNA polymerase III in transformed cells.

RNA polymerase III (pol III) transcripts of the highly repeated mouse B2 gene family are increased in many oncogenically transformed murine cell lines. In cells transformed by simian virus 40, the small, cytoplasmic B2 RNAs are present at 20-fold-higher levels than in normal cells (M. R. D. Scott, K. Westphal, and P. W. J. Rigby, Cell 34:557-567, 1983; K. Singh, M. Carey, S. Saragosti, and M. Botchan, Nature [London] 314:553-556). We found that transcripts of the highly repeated B1 gene family are also increased 20-fold upon simian virus 40 transformation and showed that these RNAs result from pol III transcription. In contrast, transcripts from less highly repeated pol III templates such as the 5S, 7SL, 7SK, 4.5SI, tRNAMet, and tRNAPro genes are unaffected. The expression of the B2 RNAs in isolated nuclei shows that the augmentation is due mainly to an increased rate of transcription by pol III. There is thus specific transformation-inducible pol III transcription. We developed an in vitro transcription assay which utilizes genomic DNA as a template to study the transcription of all members of a repetitive gene family in their native context. This assay reproduces the low cytoplasmic levels of B1 compared with B2 RNAs suggesting that this ratio is dictated by intrinsic signals in the DNA.

Bypass of heterology during strand transfer by Saccharomyces cerevisiae Rad51 protein.

During recombination-mediated repair of DNA double-strand breaks, strand transfer proteins must distinguish a homologous repair template from closely related genomic sequences. However, some tolerance by strand transfer proteins for sequence differences is also critical: too much stringency will prevent recombination between different alleles of the same gene, but too much tolerance will lead to illegitimate recombination. We characterized the heterology tolerance of Saccharomyces cerevisiae Rad51 by testing bypass of small heterologous inserts in either the single- or double-stranded substrate of an in vitro strand transfer reaction that models the early steps of homologous recombination. We found that the yeast protein is rather stringent, only tolerating heterologies up to 9 bases long. The efficiency of heterology bypass depends on whether the insert is in the single- or double-stranded substrate, as well as on the location of the insert relative to the end of the double-stranded linear substrate. Rad51 is distinct in that it can catalyze strand transfer in either the 3'-->5' or 5'-->3' direction. We found that bypass of heterology was independent of the polarity of strand transfer, suggesting that the mechanism of 5'-->3' transfer is the same as that of 3'-->5' transfer.

Purification of the Gin recombination protein of Escherichia coli phage Mu and its host factor.

Inversion of the G-segment of Escherichia coli phage Mu was studied in vitro. The reaction requires the Gin recombination protein, which was purified to near homogeneity from overproducing cells. Upon purification the protein lost activity, which was restored by addition of an extract from uninfected E. coli cells. The stimulatory host factor is a small heat-stable protein and was purified from E. coli cells. Full recombination required both proteins, but Gin alone promoted some recombination by itself, particularly at high concentrations. Relaxation of negative supercoils and recombination of a substrate with two recombination sites in an inverted orientation both have the same specificity for Gin and the host factor. The Gin-associated topoisomerase activity appears tightly coupled to its recombination activity.

Monte Carlo analysis of the conformation of DNA catenanes.

We used a Monte Carlo method to study the conformational properties of catenanes between two nicked DNA rings. We calculated the writhe induced by catenation as a function of the linking number between the two rings. The simulations modeled catenated rings of equal size as well as rings differing in length by a factor of 3. For both classes of catenanes, the calculated values of writhe agreed very well with the experimental measurements of catenation-induced supercoiling made by Wasserman et al. Therefore, the equilibrium value of DNA twist is not changed significantly by catenation. We found that the induced writhe increased linearly with catenane linking number, but was independent of DNA length and of effective helical diameter. We conclude that induced writhe is a general feature of catenation, and that it depends primarily on the ratio of lengths of the linked rings and the number of catenane interlocks. In contrast, catenane conformation varied qualitatively with catenation linking number, DNA length, and double helix diameter. At the values of these parameters for catenanes isolated from cells, catenane conformations were strikingly irregular. Nonetheless, the local concentration of two sites on separate but linked rings increased greatly with catenane linking number. This increase is similar to that brought about by (-) supercoiling to DNA sites in cis.

Use of site-specific recombination as a probe of DNA structure and metabolism in vivo.

We used site-specific recombination catalyzed by the bacteriophage lambda Int system to probe DNA structure and metabolism in vivo. In vitro, the complexity of catenated products was linearly proportional to substrate supercoil density. A system was developed that gave efficient, controlled Int recombination in Escherichia coli cells. From a comparison of the data obtained in vitro and in vivo, we conclude that Int recombination does have the same mechanism in vivo as it has in vitro, but that only 40% of the plasmid DNA linking deficit in E. coli cells may be in the interwound supercoil form demonstrated in vitro. We suggest that this is the effective level of supercoiling in vivo, because the remaining DNA is constrained in alternative forms by protein binding. The study of Int recombination in vivo also provides an assay for enzymes that decatenate circular molecules, such as those formed during DNA replication. We find that DNA gyrase is the principal decatenase in E. coli and that it acts spontaneously and rapidly.

Cre-lox recombination in Escherichia coli cells. Mechanistic differences from the in vitro reaction.

The mechanism of the Cre recombinase of bacteriophage P1 in Escherichia coli cells was analyzed by topological methods in order to determine the important features of the in vivo reaction. Lambda infection was used to introduce the cre gene into cells containing plasmid substrates. The products of Cre resolution on substrates with directly repeated sites were predominantly free circles, even though decatenation by DNA gyrase was blocked by the drug norfloxacin. Recombination by Cre was greatly stimulated by negative supercoiling, and inversion occurred inefficiently. These results are strikingly different from those found with purified enzyme in vitro. Our data imply that Cre recombination in vivo is much more tightly controlled than it is in vitro, and that Cre acts predominantly as a resolvase in vivo. We suggest a role for Cre-mediated recombination in P1 plasmid amplification that is consistent with the selectivity of the enzyme in vivo.

Description of the topological entanglement of DNA catenanes and knots by a powerful method involving strand passage and recombination.

We utilize a recently discovered, powerful method to classify the topological state of knots and catenanes. In this method, each such form is associated with a unique polynomial. These polynomials allow a rigorous determination of whether knotted or catenated DNA molecules that appear distinct actually are, and indicate the structure of related molecules. A tabulation is given of the polynomials for all possible stereoisomers of many of the knotted and catenated forms that are found in DNA. The polynomials for a substrate DNA molecule and the products obtained from it by either recombination or strand passage by a topoisomerase are related by a simple theorem. This theorem affords natural applications of the polynomial method to these processes. Examples are presented involving site-specific recombination by the transposon Tn3-encoded resolvase and the phage lambda integrase, in which product structure is predicted as a function of crossover mechanism.

The effect of ionic conditions on the conformations of supercoiled DNA. I. Sedimentation analysis.

We studied the conformations of supercoiled DNA as a function of superhelicity and ionic conditions by determining its sedimentation coefficient both experimentally and by calculation. To cancel out unknown parameters from both calculations and experiments, we determined the ratio of the sedimentation coefficient, s, to that of open circular DNA, s(oc). Calculations of the sedimentation coefficient were based on direct solution of the Burgers-Oseen problem for an equilibrium set of DNA conformations generated for each condition by the Metropolis Monte Carlo procedure. There were no adjustable parameters in the Monte Carlo simulations because all three parameters of the DNA model used, bending and torsional elasticity of DNA and DNA effective diameter specifying electrostatic interactions, were known from independent data. The good agreement between measured and calculated values of s/s(oc) allowed us to interpret the sedimentation results in terms of DNA conformations, with particular emphasis on the marked effect of ionic conditions. As NaCl concentration decreases, s/s(oc) increases because the superhelix becomes less regular and more compact. In the presence of just 10 mM MgCl(2), supercoiled DNA adopts essentially the same set of conformations as in moderate to high concentrations of NaCl. Our simulations showed that s is a strong function of the superhelix branching frequency. At near physiological ionic conditions, there are about four branches in the 7 kb DNA molecule used in this work. We found no indication of superhelix collapse in any ionic conditions even remotely approaching physiological ones. For all ionic conditions studied, we conclude that the electrostatic interaction of DNA segments specified by the DNA effective diameter is the primary determinant of supercoiled DNA conformations.

The effect of ionic conditions on the conformations of supercoiled DNA. II. Equilibrium catenation.

We studied the equilibrium formation of DNA catenanes to assess the conformational properties of supercoiled DNA as a function of ionic conditions and supercoiling density. Catenanes were formed by cyclizing linear DNA with long cohesive ends in the presence of supercoiled molecules. The efficiency of the catenation depends on the distance between opposing segments of DNA in the interwound superhelix. The fraction of cyclizing molecules that becomes topologically linked with the supercoiled DNA is the product of the concentration of the supercoiled DNA and a proportionality constant, B, that depends on conformations of supercoiled DNA. In parallel with these experimental studies, we calculated the values of B using Monte Carlo simulations of the equilibrium distribution of DNA conformations. There were no adjustable parameters in the calculations because all three parameters of the DNA model, bending and torsional elasticity of DNA and DNA effective diameter, specifying intersegment interactions, were known from independent studies. We found very good agreement between measured and simulated values of B for all the ionic conditions and DNA superhelix densities studied; the discrepancy was less than a factor of 2 over the 200-fold variation in B. The value of B decreases nearly exponentially with increasing superhelicity, this dependence being especially strong at low salt concentration. The dependence of B on the concentration of NaCl, MgCl(2), and spermidine can be described with good accuracy in terms of changes of the DNA effective diameter. We found no indication of superhelix collapse under any ionic conditions studied. We discuss, in light of these results, the biological importance of the effect of DNA supercoiling on the unlinking of the products of DNA replication.

Contributions of supercoiling to Tn3 resolvase and phage Mu Gin site-specific recombination.

Members of the resolvase/invertase family of site-specific recombinases require supercoiled substrates containing two recombination sites. To dissect the roles of supercoiling in recombination by the Tn3 and gamma delta resolvases and the phage Mu Gin invertase, we used substrates that provided some but not all of the topological features of the standard substrate. We divided the Tn3 resolvase reaction into two stages, synapsis and postsynapsis. Using structural and functional topological analyses, we verified that the resolvase synaptic complexes with nicked catenanes were recombination intermediates. The requirement for supercoiling was even less stringent for the gamma delta resolvase, which recombined nicked catenanes about half as well as it did supercoiled substrates. Gin recombination of catenanes occurred even if the recombinational enhancer was on a nicked ring, as long as both crossover sites were on a supercoiled ring. Therefore, supercoiling is required at the Gin crossover sites but not at the enhancer. We conclude that solely conformational effects of supercoiling are required for resolvase synapsis and the function of the Gin enhancer, but that a torsional effect, probably double helix unwinding, is needed for Tn3 resolvase postsynapsis and at the Gin recombination sites.

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.

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.

Processive recombination by wild-type gin and an enhancer-independent mutant. Insight into the mechanisms of recombination selectivity and strand exchange.

The Gin recombinase of phage Mu selectively mediates DNA inversion between two inversely oriented recombination sites (gix) and requires the assistance of three accessory factors: negative supercoiling, an enhancer sequence, and the protein Fis. Deletion and fusion reactions are proscribed. Recombination by Gin is selective because it occurs only through a particular synaptic complex tailored for inversion. A single amino acid change in Gin allows it to carry out deletion and fusion as well as inversion and to dispense with the requirement for the accessory factors. We investigated the recombination mechanism of a mutant Gin protein by analyzing the knotted products of processive recombination by electron microscopy and gel electrophoresis. We find that, in sharp contrast to wild-type Gin, mutant Gin recombines through a broad spectrum of synaptic complexes that differ topologically. We propose a model for the selectivity of wild-type Gin recombination that explains how the dependence on the accessory factors limits recombination to inversion. In addition, we show that processive recombination by wild-type Gin is not restricted by the number of base-pairs separating the gix sites from each other and from the enhancer. This result can be explained if strand exchange proceeds through alternative paths dictated by the energetics of DNA coiling.

The topological mechanism of phage lambda integrase.

Bacteriophage lambda integrase (Int) is a versatile site-specific recombinase. In concert with other proteins, it mediates phage integration into and excision out of the bacterial chromosome. Int recombines intramolecular sites in inverse or direct orientation or sites on separate DNA molecules. This wide spectrum of Int-mediated reactions has, however, hindered our understanding of the topology of Int recombination. By systematically analyzing the topology of Int reaction products and using a mathematical method called tangles, we deduce a unified model for Int recombination. We find that, even in the absence of (-) supercoiling, all Int reactions are chiral, producing one of two possible enantiomers of each product. We propose that this chirality reflects a right-handed DNA crossing within or between recombination sites in the synaptic complex that favors formation of right-handed Holliday junction intermediates. We demonstrate that the change in linking number associated with excisive inversion with relaxed DNA is equally +2 and -2, reflecting two different substrates with different topology but the same chirality. Additionally, we deduce that integrative Int recombination differs from excisive recombination only by additional plectonemic (-) DNA crossings in the synaptic complex: two with supercoiled substrates and one with relaxed substrates. The generality of our results is indicated by our finding that two other members of the integrase superfamily of recombinases, Flp of yeast and Cre of phage P1, show the same intrinsic chirality as lambda Int.