101
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Abstract
The gamma delta resolvase protein is one of a large family of transposon-encoded site-specific recombinases. It performs recombination in a DNA-protein complex that contains 12 resolvase protomers and two copies of the 120-base pair DNA substrate, res (each with three binding sites for a resolvase dimer). A derivative of resolvase with altered DNA binding specificity was used to show that the role of resolvase at site I, which contains the crossover point, differs from its role at the other two binding sites. The resolvase dimers that initially bind to site I are the only ones that require the residue Ser10, essential for catalysis of DNA breakage. In addition, these site I-bound dimers do not use a specific interaction between dimers that is required elsewhere in the complex for synapsis of the res sites.
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Affiliation(s)
- N D Grindley
- Department of Molecular Biophysics and Biochemistry, Yale University, Bass Center for Molecular and Structural Biology, New Haven, CT 06511
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102
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Abstract
The formation of knotted species on random ring closure of two DNAs that are 5.6 kilobase pairs (kbp) and 8.6 kbp in length was measured, and these data were used to calculate the effective DNA helix diameter as a function of sodium ion and magnesium ion concentration. In the presence of more than 50 mM magnesium ion, interactions between DNA segments appear to be attractive rather than repulsive. The free energy of formation of relaxed trefoil and figure-eight DNA knots and of supercoiled trefoil DNA knots was also evaluated.
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Affiliation(s)
- S Y Shaw
- Harvard University, Department of Biochemistry and Molecular Biology, Cambridge, MA 02138
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103
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Samorí B, Siligardi G, Quagliariello C, Weisenhorn AL, Vesenka J, Bustamante CJ. Chirality of DNA supercoiling assigned by scanning force microscopy. Proc Natl Acad Sci U S A 1993; 90:3598-601. [PMID: 8475108 PMCID: PMC46348 DOI: 10.1073/pnas.90.8.3598] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/31/2023] Open
Abstract
Reproducible images of pBR322 plasmid molecules have been recorded by scanning force microscopy under 1-propanol. Most of the plasmids were found in a coiled state. The supercoiled molecules of our samples look like branched or unbranched interwound superhelixes. This is consistent with available electron microscopy data on circular DNA molecules. By applying a stratigraphic analysis which takes advantage of the height information contained in the scanning force microscopy images, it is possible to assign the chirality of the local supercoiling of the individual molecules.
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Affiliation(s)
- B Samorí
- Dipartimento di Chimica, Universitá della Calabria, Arcavacata di Rende CS, Italy
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104
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Dröge P. Recombination of nicked DNA knots by gamma delta resolvase suggests a variant model for the mechanism of strand exchange. Nucleic Acids Res 1992; 20:6159-66. [PMID: 1335567 PMCID: PMC334499 DOI: 10.1093/nar/20.23.6159] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/26/2022] Open
Abstract
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.
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Affiliation(s)
- P Dröge
- Department of Biology, University of Konstanz, Germany
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105
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106
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Abstract
Computer simulations of the supercoiling of DNA, largely limited to stochastic search techniques, can offer important information to complement analytical models and experimental data. Through association of an energy function, minimum-energy supercoiled conformations, fluctuations about these states, and interconversions among forms may be sought. In theory, the observation of such large-scale conformational changes is possible, but modeling and numerical considerations limit the picture obtained in practice. A new computational approach is reported that combines an idealized elastic energy model, a compact B-spline representation of circular duplex DNA, and deterministic minimization and molecular dynamics algorithms. A trefoil knotting result, made possible by a large time-step dynamics scheme, is described. The simulated strand passage supports and details a supercoiled-directed knotting mechanism. This process may be associated with collective bending and twisting motions involved in supercoiling propagation and interwound branching. The results also demonstrate the potential effectiveness of the Langevin/implicit-Euler dynamics scheme for studying biomolecular folding and reactions over biologically interesting time scales.
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Affiliation(s)
- T Schlick
- Chemistry Department, New York University, NY 10012
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107
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Abstract
A new formulation is presented for investigating supercoiled DNA configurations by deterministic techniques. Thus far, the computational difficulties involved in applying deterministic methods to supercoiled DNA studies have generally limited computer simulations to stochastic approaches. While stochastic methods, such as simulated annealing and Metropolis-Monte Carlo sampling, are successful at generating a large number of configurations and estimating thermodynamic properties of topoisomer ensembles, deterministic methods offer an accurate characterization of the minima and a systematic following of their dynamics. To make this feasible, we model circular duplex DNA compactly by a B-spline ribbon-like model in terms of a small number of control vertices. We associate an elastic deformation energy composed of bending and twisting integrals and represent intrachain contact by a 6-12 Lennard Jones potential. The latter is parameterized to yield an energy minimum at the observed DNA-helix diameter inclusive of a hydration shell. A penalty term to ensure fixed contour length is also included. First and second partial derivatives of the energy function have been derived by using various mathematical simplifications. First derivatives are essential for Newton-type minimization as well as molecular dynamics, and partial second-derivative information can significantly accelerate minimization convergence through preconditioning. Here we apply a new large-scale truncated-Newton algorithm for minimization and a Langevin/implicit-Euler scheme for molecular dynamics. Our truncated-Newton method exploits the separability of potential energy functions into terms of differing complexity. It relies on a preconditioned conjugate gradient method that is efficient for large-scale problems to solve approximately for the search direction at every step. Our dynamics algorithm is numerically stable over large time steps. It also introduces a frequency-discriminating mechanism so that vibrational modes with frequencies greater than a chosen cutoff frequency are essentially frozen by the method. With these tools, we rapidly identify corresponding circular and interwound energy minima for small DNA rings for a series of imposed linking-number differences. These structures are consistent with available electron microscopy data. The energetic exchange of stability between the circle and the figure-8, in very good agreement with analytical results, is also detailed. Molecular dynamics trajectories at 100 femtosecond time steps then reveal the rapid folding of the unstable circular state into supercoiled forms. Significant bending and twisting motions of the interwound structures are also observed. Such information may be useful for understanding transition states along the folding pathway and the role of enzymes that regulate supercoiling.(ABSTRACT TRUNCATED AT 400 WORDS)
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Affiliation(s)
- T Schlick
- Courant Institute of Mathematical Sciences, New York University, NY 10012
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108
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Affiliation(s)
- P Dröge
- Department of Biology, University of Konstanz, Germany
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109
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Snapka RM, Permana PA, Marquit G, Shin CG. Two-dimensional agarose gel analysis of simian virus 40 DNA replication intermediates. Methods 1991. [DOI: 10.1016/s1046-2023(05)80198-7] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022] Open
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110
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111
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Heichman KA, Moskowitz IP, Johnson RC. Configuration of DNA strands and mechanism of strand exchange in the Hin invertasome as revealed by analysis of recombinant knots. Genes Dev 1991; 5:1622-34. [PMID: 1885004 DOI: 10.1101/gad.5.9.1622] [Citation(s) in RCA: 68] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022]
Abstract
The Hin recombinase of Salmonella normally catalyzes a site-specific DNA inversion reaction that is very efficient when the Fis protein and a recombinational enhancer sequence are present. The mechanism of this recombination reaction has been investigated by analyzing the formation and structure of knots generated in different plasmid substrates in vitro. Hin seldom knots the wild-type substrate under standard recombination conditions. However, we show that increasing the length of DNA between the recombination sites and the enhancer and changing the sequence of the core nucleotides where strand exchange occurs increases the efficiency of the knotting reaction. The structure of the knots generated by different mutant substrates strongly supports a model involving a unique configuration of DNA strands at synapsis and DNA strand exchange mediated by rotation of one set of Hin subunits after DNA cleavage. Analysis of the stereostructure of the knots by electron microscopy of RecA-coated DNA molecules demonstrates that the direction of subunit rotation is exclusively clockwise. Because multiple subunit rotations generating knotted molecules do not occur efficiently when the enhancer is located in its native position, we suggest that the enhancer normally remains associated with the two recombination sites in the invertasome structure during strand exchange to limit strand rotation once it has been initiated. Under certain conditions, however, complex knots are formed that are probably the result of the premature release of the enhancer and multiple, unrestrained subunit exchanges.
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Affiliation(s)
- K A Heichman
- Department of Biological Chemistry, University of California, Los Angeles School of Medicine 90024
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112
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Kanaar R, Klippel A, Shekhtman E, Dungan JM, Kahmann R, Cozzarelli NR. Processive recombination by the phage Mu Gin system: implications for the mechanisms of DNA strand exchange, DNA site alignment, and enhancer action. Cell 1990; 62:353-66. [PMID: 2164890 DOI: 10.1016/0092-8674(90)90372-l] [Citation(s) in RCA: 116] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
Abstract
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.
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Affiliation(s)
- R Kanaar
- Department of Molecular and Cell Biology, University of California, Berkeley 94720
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113
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114
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Shishido K, Ishii S, Komiyama N. The presence of the region on pBR322 that encodes resistance to tetracycline is responsible for high levels of plasmid DNA knotting in Escherichia coli DNA topoisomerase I deletion mutant. Nucleic Acids Res 1989; 17:9749-59. [PMID: 2557587 PMCID: PMC335211 DOI: 10.1093/nar/17.23.9749] [Citation(s) in RCA: 26] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023] Open
Abstract
Plasmid pBR322 DNA isolated from Escherichia coli DNA topoisomerase I deletion mutant DM800 is estimated to contain about 10% of the knotted forms (Shishido et al., 1987). These knotted DNA species were shown to have the same primary structure as usual, unknotted pBR322 DNA. Analysis of the knotting level of deletion, insertion and sequence-rearranged derivatives of pBR322 in DM800 showed that the presence of the region on pBR322 encoding resistance to tetracycline (tet) is required for high levels of plasmid knotting. When the entire tet region is present in a native orientation, the level of knotting is highest. Inactivating the tet promoter is manifested by a middle level of knotting. For deletion derivatives lacking various portions of the tet region, the level of knotting ranges from lowest to high depending on the site and length of the tet gene remaining. Inverting the orientation of tet region on the pBR322 genome results in a middle level of knotting. Deleting the ampicillin-resistance (bla)gene outside of its second promoter does not affect the level of knotting, if the entire tet gene remains. A possible mechanism of regulation of plasmid knotting is discussed.
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Affiliation(s)
- K Shishido
- Department of Life Science, Faculty of Science, Tokyo Institute of Technology, Yokohama, Japan
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115
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Flanagan PM, Finn MC, Fennewald MA. Inhibitor analysis of synapsis by resolvase. J Biol Chem 1989. [DOI: 10.1016/s0021-9258(19)84791-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022] Open
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116
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Abstract
Site-specific recombination processes in microbes bring about precise DNA rearrangements which have diverse and important biological functions. The sites and recombinase enzymes used for these processes fall into two distinct families. Here we describe how experiments with one family, exemplified by the resolution system of transposon Tn3, have provided insight into the ways in which DNA and protein interact to bring together distant recombination sites and promote strand exchange.
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117
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Stark WM, Sherratt DJ, Boocock MR. Site-specific recombination by Tn3 resolvase: topological changes in the forward and reverse reactions. Cell 1989; 58:779-90. [PMID: 2548736 DOI: 10.1016/0092-8674(89)90111-6] [Citation(s) in RCA: 147] [Impact Index Per Article: 4.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023]
Abstract
Site-specific recombination catalyzed by Tn3 resolvase proceeds with a linkage change, delta Lk, of +4 in the forward resolution reaction and -4 in the catenane fusion reverse reaction. The reverse reaction occurs only at low superhelical densities and gives unknotted circular products, consistent with plectonemic and not solenoidal wrapping of the two recombination sites. The strand exchange topologies are consistent with a mechanism in which resolvase cleaves all four DNA strands and religates them after a 180 degrees rotation of two duplex partners in a right-handed sense for the "forward" reaction, and in a left-handed sense for the "reverse" action. This could be achieved by a 180 degrees rotation of two resolvase subunits within a tetramer with D2 symmetry; we suggest that a different symmetry applies to phage lamda integrase catalysis.
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Affiliation(s)
- W M Stark
- Institute of Genetics, University of Glasgow, Scotland
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118
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Abstract
We studied the site orientation specificity for recombination by purified Tn3 resolvase. With standard plasmid substrates, resolvase acts only on directly repeated recombination sites. Knotting, however, makes inverted site substrates equally efficient. The structure of the knotted products of recombination shows that the DNA wrapped around resolvase in the synaptic intermediate has the same local geometry as the standard substrate but is reversed in topological sign. Similarly, the same strand exchange with the two substrates generates supercoils with opposite signs. Thus, DNA geometry rather than topology is critical for these features of recombination. The knotted inverse substrate like the direct site substrate must be (-) supercoiled under standard reaction conditions. However, under conditions in which supercoiling is not required, the structure of the knotted product is apparently the same. This indicates that the unique direction of strand exchange is determined by the structure of the synaptosome and not by (-) supercoiling of the substrate.
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Affiliation(s)
- P Dröge
- Department of Molecular Biology, University of California, Berkeley 94720
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119
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120
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Mullins MC, Rio DC, Rubin GM. cis-acting DNA sequence requirements for P-element transposition. Genes Dev 1989; 3:729-38. [PMID: 2545527 DOI: 10.1101/gad.3.5.729] [Citation(s) in RCA: 93] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023]
Abstract
The P transposable element of Drosophila melanogaster has a complex array of cis-acting DNA sequences necessary for efficient transposition. At the 3' end these sequences extend over more than 150 bp and include 11- and 31-bp sequences found repeated in inverted orientation at the 5' end. The P element's 5' end, however, cannot function as its 3' end. When two 3' P-element ends are present, the more proximal end is used preferentially. We found also that the duplication of the target site does not appear to play a role in forward transposition.
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Affiliation(s)
- M C Mullins
- Department of Biochemistry, University of California Berkeley 94720
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121
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Flanagan PM, Fennewald MA. Analysis of inhibitors of the site-specific recombination reaction mediated by Tn3 resolvase. J Mol Biol 1989; 206:295-304. [PMID: 2541253 DOI: 10.1016/0022-2836(89)90479-8] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/01/2023]
Abstract
The Tn3-encoded resolvase protein promotes a site-specific recombination reaction between two directly repeated copies of the recombination site res. Several inhibitors that block this event in vitro have been isolated. In this study four of these inhibitors were tested on various steps in the recombination reaction. Two inhibitors. A9387 and A1062, inhibit resolvase binding to the res site. Further, DNase I footprinting revealed that at certain concentrations of A9387 and A1062, resolvase was preferentially bound to site I of res, the site containing the recombinational crossover point. The two other inhibitors, A20812 and A21960, do not affect resolvase binding and bending of the DNA but inhibit synapse formation between resolvase and two directly repeated res sites.
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Affiliation(s)
- P M Flanagan
- Department of Biological Sciences, University of Notre Dame, IN 46556
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122
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Abstract
We describe a pseudo-atomic model of supercoiled DNA. Each base-pair of the DNA is represented in the model by three particles placed in a plane. The particle triplets are stacked to model stacked base-pairs in double-helical DNA, and closed circular conformations are generated to investigate supercoiling. This model is less detailed than all-atom models, which are too computationally demanding to be used to study supercoiling. On the other hand, this model contains details at the base-pair level and is therefore more elaborate than elastomechanical models. A potential energy function is written in terms of a set of internal co-ordinates defined to resemble a limited number of helical parameters. The modeled helical parameters, helical twist, base-roll, tilt and rise, are the most important parameters of the global shape of DNA. Experimentally measured mechanical properties of DNA are used to define the forces holding the particles together. We then use a procedure incorporating energy minimization and molecular dynamics to locate low energy conformations of the model DNA. The model was found to behave very much like rubber-tubing and elastomechanical models. The conformations and the effects of supercoiling pressure (a number proportional to the degree to which the total twist of the DNA has been altered from its natural value) on these conformations are all very similar to those observed in the latter two models. We also used this model to examine the effects of supercoiling pressure, base-sequence and mechanical properties on the conformations and energies of five sequences. The sequences studied include models of naturally straight DNA and DNA with static or natural bends.
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Affiliation(s)
- R K Tan
- Department of Biochemistry, University of Alabama, Birmingham 35294
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123
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Kitts PA, Nash HA. An intermediate in the phage lambda site-specific recombination reaction is revealed by phosphorothioate substitution in DNA. Nucleic Acids Res 1988; 16:6839-56. [PMID: 2970060 PMCID: PMC338337 DOI: 10.1093/nar/16.14.6839] [Citation(s) in RCA: 43] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023] Open
Abstract
It has been proposed that phage lambda site-specific recombination proceeds via two independent strand exchanges: the first exchange forming a Holliday-structure which is then converted into complete recombinant products by the second strand exchange. If this hypothesis is correct, one should be able to trap the putative Holliday intermediate by preventing the second strand exchange. In this paper, we show that substitution of phosphorothioate for phosphate in one strand of a recombination site is an effective way to block recombination while permitting the accumulation of a novel structure. This effect is seen only when phosphorothioate is positioned at a point of potential cleavage by Int recombinase, demonstrating that the inhibition of strand exchange is highly specific. Analysis of the novel structure that accumulates in these reactions proves that it contains a Holliday joint. Holliday-structures can also be detected in unblocked recombinations but are present at very low levels. The characteristics of Holliday-structure formation that we describe substantiate the proposed recombination pathway.
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Affiliation(s)
- P A Kitts
- Laboratory of Molecular Biology, National Institute of Mental Health, Bethesda, MD 20892
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124
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Kanaar R, van de Putte P, Cozzarelli NR. Gin-mediated DNA inversion: product structure and the mechanism of strand exchange. Proc Natl Acad Sci U S A 1988; 85:752-6. [PMID: 2829201 PMCID: PMC279633 DOI: 10.1073/pnas.85.3.752] [Citation(s) in RCA: 54] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/02/2023] Open
Abstract
Inversion of the G loop of bacteriophage Mu requires the phage-encoded Gin protein and a host factor. The topological changes in a supercoiled DNA substrate generated by the two purified proteins were analyzed. More than 99% of the inversion products were unknotted rings. This result excludes synapsis by way of a random collision of recombination sites, because the resulting entrapped supercoils would be converted into knots by recombination. Instead, the recombination sites must come together in the synaptic complex in an ordered fashion with a fixed number of supercoils between the sites. The linking number of the substrate DNA increases by four during recombination. Thus, in three successive rounds of inversion, the change in linking number was +4, +8, and +12, respectively. These results lead to a quantitative model for the mechanism of Gin recombination that includes the distribution of supercoils in the synaptic complex, their alteration by strand exchange, and specific roles for the two proteins needed for recombination.
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Affiliation(s)
- R Kanaar
- Department of Biochemistry, State University of Leiden, The Netherlands
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125
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White JH, Millett KC, Cozzarelli NR. Description of the topological entanglement of DNA catenanes and knots by a powerful method involving strand passage and recombination. J Mol Biol 1987; 197:585-603. [PMID: 3441012 DOI: 10.1016/0022-2836(87)90566-3] [Citation(s) in RCA: 49] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023]
Abstract
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.
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Affiliation(s)
- J H White
- Department of Mathematics, University of California, Los Angeles
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126
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Abstract
RmI is a circular chimera containing 1.03 copies of polyomavirus DNA and 1,628 base pairs of mouse DNA, joined through direct and inverted repeat sequences. It is excised from the chromosome of a transformed cell via a site-specific recombination event that is dependent on the activation of the viral gene coding for large T antigen. RmI is shown here to be highly infectious for normal mouse cells. This infectivity reflects the ability of RmI to effectively yield unit-length viral DNA via intramolecular recombination. The effectiveness with which infectious viral DNA is produced from RmI is consistent with the idea that the underlying recombination event is site specific, rather than homologous or illegitimate.
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127
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Abstract
Some site-specific recombination systems require the interacting DNA sequences to have a specific relative orientation. This means that DNA segments can sense each other's direction even though they may be separated by many thousands of base pairs. Here, we review the surprising results of recent experiments that lead to a new model which accounts for site orientation specificity and relates it to other recombination systems where relative orientation is not critical.
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128
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Abstract
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.
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129
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