Predicting knot or catenane type of site-specific recombination products

Site-specific recombination on supercoiled circular DNA yields a variety of knotted or catenated products. Here, we present a topological model of this process and characterize all possible products of the most common substrates: unknots, unlinks, and torus knots and catenanes. This model tightly prescribes the knot or catenane type of previously uncharacterized data. We also discuss how the model helps to distinguish products of distributive recombination and, in some cases, determine the order of processive recombination products.     

Phage P1 Cre-loxP site-specific recombination. Effects of DNA supercoiling on catenation and knotting of recombinant products

Bacteriophage P1 contains a site-specific recombination system consisting of a site, loxP, and a recombinase protein Cre. We have shown that with purified Cre protein we can carry out recombination between two loxP sites in vitro. When that recombination occurs between two sites in direct orientation on the same DNA molecule, we observed the production of free and catenated circular molecules. In this paper we show that recombination between sites in opposite orientation leads to both knotted and unknotted circular products. We also demonstrate that the production of catenanes and knots is influenced by two factors: (1) supercoiling in the DNA substrate, supercoiled DNA substrates yield significantly more catenated and knotted products than nicked circular substrates; and (2) mutations in the loxP site, a class of mutations have been isolated that carry out recombination but result in a distribution of products in which the ratio of catenanes to free circles is increased over that observed with a wild-type site. A more detailed analysis of the products from recombination between wild-type sites indicates: (1) that the catenanes or knots produced by recombination are both simple and complex; (2) that the ratio of free products to catenanes is independent of the distance between the two directly repeated loxP sites; and (3) that for DNA substrates with four loxP sites significant recombination between non-adjacent sites occurs to give free circular products. These observations provide insights into how two loxP sites are brought together during recombination.     

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.     

Organization of DNA Partners and Strand Exchange Mechanisms during Flp Site-Specific Recombination Analyzed by Difference Topology,Single Molecule FRET and Single Molecule TPM

Flp site-specific recombination between two target sites (FRTs) harboring non-homology within the strand exchange region does not yield stable recombinant products. In negatively supercoiled plasmids containing head-to-tail sites, the reaction produces a series of knots with odd-numbered crossings. When the sites are in head-to-head orientation, the knot products contain even-numbered crossings. Both types of knots retain parental DNA configuration. By carrying out Flp recombination after first assembling the topologically well defined Tn3 resolvase synapse, it is possible to determine whether these knots arise by a processive or a dissociative mechanism. The nearly exclusive products from head-to-head and head-to-tail oriented “non-homologous” FRT partners are a 4-noded knot and a 5-noded knot, respectively. The corresponding products from a pair of native (homologous) FRT sites are a 3-noded knot and a 4-noded catenane, respectively. These results are consistent with non-homology-induced two rounds of dissociative recombination by Flp, the first to generate reciprocal recombinants containing non-complementary base pairs and the second to produce parental molecules with restored base pairing. Single molecule fluorescence resonance energy transfer (smFRET) analysis of geometrically restricted FRTs, together with single molecule tethered particle motion (smTPM) assays of unconstrained FRTs, suggests that the sites are preferentially synapsed in an anti-parallel fashion. This selectivity in synapse geometry occurs prior to the chemical steps of recombination, signifying early commitment to a productive reaction path. The cumulative topological, smFRET and smTPM results have implications for the relative orientation of DNA partners and the directionality of strand exchange during recombination mediated by tyrosine site-specific recombinases.     

Topological analysis of Hin-catalysed DNA recombination in vivo and in vitro

In vitro studies have demonstrated that Hin-catalysed site-specific DNA inversion occurs within a tripartite invertasome complex assembled at a branch on a supercoiled DNA molecule. Multiple DNA exchanges within a recombination complex (processive recombination) have been found to occur with particular substrates or reaction conditions. To investigate the mechanistic properties of the Hin recombination reaction in vivo, we have analysed the topology of recombination products generated by Hin catalysis in growing cells. Recombination between wild-type recombination sites in vivo is primarily limited to one exchange. However, processive recombination leading to knotted DNA products is efficient on substrates containing recombination sites with non-identical core nucleotides. Multiple exchanges are limited by a short DNA segment between the Fis-bound enhancer and closest recombination site and by the strength of Fis-Hin interactions, implying that the enhancer normally remains associated with the recombining complex throughout a single exchange reaction, but that release of the enhancer leads to multiple exchanges. This work confirms salient mechanistic aspects of the reaction in vivo and provides strong evidence for the propensity of plectonemically branched DNA in prokaryotic cells. We also demonstrated that a single DNA exchange resulting in inversion in vitro is accompanied by a loss of four negative supercoils.     

Processive recombination by the phage Mu Gin system: implications for the mechanisms of DNA strand exchange, DNA site alignment, and enhancer action

The Gin DNA invertase of bacteriophage Mu carries out processive recombination in which multiple rounds of exchange follow synaptic complex formation. The stereostructure of the knotted products determined by electron microscopy establishes critical features of site synapsis and DNA exchange. Surprisingly, the invertase knots substrates with directly repeated sites as well as those with inverted sites. The results suggest that the Gin synaptic complex contains three mutually perpendicular dyads; one is the axis of site rotation during exchange, and they cause inverted and direct site substrates to form a similar synaptic complex. The extensive knotting by Gin has implications for the energetics of recombination and shows that the enhancer for recombination is required only at an early stage, and thus may normally operate in a hit-and-run fashion.     

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.     

Topology of Xer recombination on catenanes produced by lambda integrase.

Xer site-specific recombination at the psi site from plasmid pSC101 displays topological selectivity, such that recombination normally occurs only between directly repeated sites on the same circular DNA molecule. This intramolecular selectivity is important for the biological role of psi, and is imposed by accessory proteins PepA and ArcA acting at accessory DNA sequences adjacent to the core recombination site. Here we show that the selectivity for intramolecular recombination at psi can be bypassed in multiply interlinked catenanes. Xer site-specific recombination occurred relatively efficiently between antiparallel psi sites located on separate rings of right-handed torus catenanes containing six or more nodes. This recombination introduced one additional node into the catenanes. Antiparallel sites on four-noded right-handed catenanes, the normal product of Xer recombination at psi, were not recombined efficiently. Furthermore, parallel psi sites on right-handed torus catenanes were not substrates for Xer recombination. These findings support a model in which psi sites are plectonemically interwrapped, trapping a precise number of supercoils that are converted to four catenation nodes by Xer strand exchange.     

FLP site-specific recombinase of yeast 2-micron plasmid. Topological features of the reaction

The 2-micron plasmid of the yeast Saccharomyces cerevisiae encodes a site-specific recombinase (FLP) that promotes inversion across a unique site contained in each of the 599-base-pair inverted repeats of the plasmid. We have studied the topological changes generated in supercoiled substrates after exposure to the purified FLP protein in vitro. When a supercoiled substrate bearing two FLP target sequences in inverse orientation is treated with FLP, the products are multiply knotted structures that arise as a result of random entrapment of interdomainal supercoils. Likewise, a supercoiled substrate bearing two target sequences in direct orientation yields multiply interlocked catenanes as the product. Both types of substrate seem to be able to undergo repeated rounds of recombination that result in products of further complexity. The FLP protein also acts as a site-specific topoisomerase during the recombination reaction.     

Recombination of nicked DNA knots by gamma delta resolvase suggests a variant model for the mechanism of strand exchange.

Fast and efficient recombination catalyzed by gamma delta resolvase in vitro requires negative DNA supercoiling of plasmid substrates. The current model for recombination suggests that supercoiling is required to drive DNA strand exchange within a synaptic complex by 'simple rotation' of DNA-linked resolvase promoters. Surprisingly, DNA knots are recombined efficiently in the absence of supercoiling, whereby the rate of recombination increases with the number of irreducible DNA segment crossings, or nodes, within each substrate knot. Recombination products contain three knot nodes less than substrates, suggesting that a reduction in writhe drives the reaction. However, the proposed protomer rotation model predicts that writhe is not altered during the process of strand transfer but, instead, is reduced only when a synaptic complex disassembles after strand exchange. I present evidence that recombination of knotted and of linear substrates coincides with a disassembly of synaptic complexes. The results lead to a variant model for strand exchange on non-supercoiled substrates in which a specific disassembly of the synaptic complex, triggered by a reduction in writhe, guides the cleaved DNA into the recombinant configuration.     

Site-specific relaxation and recombination by the Tn3 resolvase: recognition of the DNA path between oriented res sites

We studied the dynamics of site-specific recombination by the resolvase encoded by the Escherichia coli transposon Tn3. The pure enzyme recombined supercoiled plasmids containing two directly repeated recombination sites, called res sites. Resolvase is the first strictly site-specific topoisomerase. It relaxed only plasmids containing directly repeated res sites; substrates with zero, one or two inverted sites were inert. Even when the proximity of res sites was ensured by catenation of plasmids with a single site, neither relaxation nor recombination occurred. The two circular products of recombination were catenanes interlinked only once. These properties of resolvase require that the path of the DNA between res sites be clearly defined and that strand exchange occur with a unique geometry. A model in which one subunit of a dimeric resolvase is bound at one res site, while the other searches along adjacent DNA until it encounters the second site, would account for the ability of resolvase to distinguish intramolecular from intermolecular sites, to sense the relative orientation of sites and to produce singly interlinked catenanes. Because resolvase is a type 1 topoisomerase, we infer that it makes the required duplex bDNA breaks of recombination one strand at a time.     

Geometry and Physics of Catenanes Applied to the Study of DNA Replication

The concept of ideal geometric configurations was recently applied to the classification and characterization of various knots. Different knots in their ideal form (i.e., the one requiring the shortest length of a constant-diameter tube to form a given knot) were shown to have an overall compactness proportional to the time-averaged compactness of thermally agitated knotted polymers forming corresponding knots. This was useful for predicting the relative speed of electrophoretic migration of different DNA knots. Here we characterize the ideal geometric configurations of catenanes (called links by mathematicians), i.e., closed curves in space that are topologically linked to each other. We demonstrate that the ideal configurations of different catenanes show interrelations very similar to those observed in the ideal configurations of knots. By analyzing literature data on electrophoretic separations of the torus-type of DNA catenanes with increasing complexity, we observed that their electrophoretic migration is roughly proportional to the overall compactness of ideal representations of the corresponding catenanes. This correlation does not apply, however, to electrophoretic migration of certain replication intermediates, believed up to now to represent the simplest torus-type catenanes. We propose, therefore, that freshly replicated circular DNA molecules, in addition to forming regular catenanes, may also form hemicatenanes.     

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 stereostructure of knots and catenanes produced by phage lambda integrative recombination: implications for mechanism and DNA structure

We studied the mechanism of recombination by determining the structure of the products of the phage lambda Int system. Electron microscopy of RecA-coated products revealed only knots and catenanes containing a regular right-handed spiral structure. The structure and distribution of products establish that the recombination sites pair by essentially random collision, rather than by tracking. However, the distribution also indicates that the binding of the enzyme must introduce nonrandom components into the reaction and stabilize at least two additional supercoils that become links in the product. Moreover, the regularity of the structures indicates that the strand exchange is accomplished in a very simple way, introducing only a single link into the product. All other links result from the direct conversion of substrate supercoils into knot and catenane links. These supercoils must be in a right-handed, braided form, rather than solenoidally wound as in nucleosomes.     

Resolvase-catalysed reactions between res sites differing in the central dinucleotide of subsite I.

The resolvase-catalysed reaction between two res sites in a circular DNA substrate normally gives two circular recombination products linked in a two-noded catenane. Homology between the two res sites at the central overlap dinucleotide of subsite I is important for recombination. Reactions between res sites differing at one position in the central dinucleotide (AC X AT) gave a low yield of recombinants containing mismatched base-pairs, but gave large amounts of a non-recombinant four-noded knot. This result was predicted by a 'simple rotation' model for strand exchange. The mismatch is evidently recognized only after commitment to an initial 180 degrees rotation of the resolvase-linked DNA ends, and it induces a second 180 degrees rotation which restores correct base-pairing at the overlap, giving the four-noded product. Correct base-pairing is not essential for religation, but may be important for release of the products. Characteristic patterns of 4, 6, 8 and 10 node knots, or 4, 8, 12 and 16 node knots were obtained, depending on the reaction conditions and the resolvase. Two pathways for multiple rounds of rotation in 360 degrees steps are inferred. The results support a model for strand exchange by supercoil-directed subunit rotation within a resolvase tetramer.     

人工红松树干内部节子体积预测模型

基于黑龙江省林口林业局林场和东京城林业局林场29块标准地中49株人工红松1207个节子数据,使用图片处理软件Digimizer对节子纵剖面图片数据进行提取,将节子形状用一个二维散点图表示。根据节子二维形状散点图,把人工红松节子分为3种类型: 活节(整个节子为健全节)、未包藏死节(节子由健全节和疏松节组成)和包藏死节(节子的健全节和疏松节部分被树干包藏)。3个类型节子的健全节体积通过对健全节形状参数方程求积得到;疏松节体积利用圆柱体的体积计算得到;节子总体积等于健全节体积与疏松节体积之和。最后,基于节子变量(节子直径、节子相对高、节子总长度)和树木变量(胸径),采用样地和树木水平的线性混合模型建立了红松人工林健全节体积、疏松节体积和节子总体积的预测模型。与基础模型相比,考虑样地和树木水平的混合效应所建立的健全节体积、疏松节体积和节子总体积预测模型,其参数估计更精准,残差分布更均匀,拟合精度明显提高。检验结果表明,基础模型预估精度均在90%以上,引入样地和树木效应的混合模型的预估精度均在93%以上,说明所建模型可以很好地预测红松人工林节子体积大小。     

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.     

Thermal knot fixation

Knots represent the weakest point in suture material. As a result of bending and tension, forces develop within the knot that exceed the strength of the suture material and lead to rupture. Furthermore, because of their relatively large surface area, the most pronounced reactions occur in the vicinity of knots. The results of in vitro experiments conducted with the aim of improving the strength of knots are reported. The knot holding capacity of polypropylene filaments (EP 5/USP 2) was determined at room temperature (22 degrees C) after exposure to temperatures of 63, 98 and 150 degrees C. Knots that were exposed to a temperature of 98 degrees C for 10 seconds had a 50% higher holding capacity than untreated knots. With a higher knot holding capacity, secure fixation can be achieved with fewer knots. Since fewer knots have a smaller surface area, a reduction in tissue reaction may be expected.     

DNA communications by Type III restriction endonucleases--confirmation of 1D translocation over 3D looping

DNA cleavage by Type III restriction enzymes is governed strictly by the relative arrangement of recognition sites on a DNA substrate—endonuclease activity is usually only triggered by sequences in head-to-head orientation. Tens to thousands of base pairs can separate these sites. Long distance communication over such distances could occur by either one-dimensional (1D) DNA translocation or 3D DNA looping. To distinguish between these alternatives, we analysed the activity of EcoPI and EcoP15I on DNA catenanes in which the recognition sites were either on the same or separate rings. While substrates with a pair of sites located on the same ring were cleaved efficiently, catenanes with sites on separate rings were not cleaved. These results exclude a simple 3D DNA-looping activity. To characterize the interactions further, EcoPI was incubated with plasmids carrying two recognition sites interspersed with two 21res sites for site-specific recombination by Tn21 resolvase; inhibition of recombination would indicate the formation of stable DNA loops. No inhibition was observed, even under conditions where EcoPI translocation could also occur.     

Construction and electrophoretic migration of single-stranded DNA knots and catenanes

In recent years there has been growing interest in the question of how the particular topology of polymeric chains affects their overall dimensions and physical behavior. The majority of relevant studies are based on numerical simulation methods or analytical treatment; however, both these approaches depend on various assumptions and simplifications. Experimental verification is clearly needed but was hampered by practical difficulties in obtaining preparative amounts of knotted or catenated polymers with predefined topology and precisely set chain length. We introduce here an efficient method of production of various single-stranded DNA knots and catenanes that have the same global chain length. We also characterize electrophoretic migration of the produced single-stranded DNA knots and catenanes with increasing complexity.