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

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    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 γδ 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. We found the contributions of supercoiling to each stage were distinct, since substrate catenation in the absence of supercoiling or low levels of substrate supercoiling were sufficient for synapsis but not 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 γδ 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

    Characterization of Knots and Links Arising From Site-specific Recombination on Twist Knots

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    We develop a model characterizing all possible knots and links arising from recombination starting with a twist knot substrate, extending previous work of Buck and Flapan. We show that all knot or link products fall into three well-understood families of knots and links, and prove that given a positive integer nn, the number of product knots and links with minimal crossing number equal to nn grows proportionally to n5n^5. In the (common) case of twist knot substrates whose products have minimal crossing number one more than the substrate, we prove that the types of products are tightly prescribed. Finally, we give two simple examples to illustrate how this model can help determine previously uncharacterized experimental data.Comment: 32 pages, 7 tables, 27 figures, revised: figures re-arranged, and minor corrections. To appear in Journal of Physics

    Coiling Instability of Multilamellar Membrane Tubes with Anchored Polymers

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    We study experimentally a coiling instability of cylindrical multilamellar stacks of phospholipid membranes, induced by polymers with hydrophobic anchors grafted along their hydrophilic backbone. Our system is unique in that coils form in the absence of both twist and adhesion. We interpret our experimental results in terms of a model in which local membrane curvature and polymer concentration are coupled. The model predicts the occurrence of maximally tight coils above a threshold polymer occupancy. A proper comparison between the model and experiment involved imaging of projections from simulated coiled tubes with maximal curvature and complicated torsions.Comment: 11 pages + 7 GIF figures + 10 JPEG figure

    Force-Extension Relations for Polymers with Sliding Links

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    Topological entanglements in polymers are mimicked by sliding rings (slip-links) which enforce pair contacts between monomers. We study the force-extension curve for linear polymers in which slip-links create additional loops of variable size. For a single loop in a phantom chain, we obtain exact expressions for the average end-to-end separation: The linear response to a small force is related to the properties of the unstressed chain, while for a large force the polymer backbone can be treated as a sequence of Pincus--de Gennes blobs, the constraint effecting only a single blob. Generalizing this picture, scaling arguments are used to include self-avoiding effects.Comment: 4 pages, 5 figures; accepted to Phys. Rev. E (Brief Report

    Analysis of the eukaryotic topoisomerase II DNA gate: a single-molecule FRET and structural perspective

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    Type II DNA topoisomerases (topos) are essential and ubiquitous enzymes that perform important intracellular roles in chromosome condensation and segregation, and in regulating DNA supercoiling. Eukaryotic topo II, a type II topoisomerase, is a homodimeric enzyme that solves topological entanglement problems by using the energy from ATP hydrolysis to pass one segment of DNA through another by way of a reversible, enzyme-bridged double-stranded break. This DNA break is linked to the protein by a phosphodiester bond between the active site tyrosine of each subunit and backbone phosphate of DNA. The opening and closing of the DNA gate, a critical step for strand passage during the catalytic cycle, is coupled to this enzymatic cleavage/religation of the backbone. This reversible DNA cleavage reaction is the target of a number of anticancer drugs, which can elicit DNA damage by affecting the cleavage/religation equilibrium. Because of its clinical importance, many studies have sought to determine the manner in which topo II interacts with DNA. Here we highlight recent single-molecule fluorescence resonance energy transfer and crystallographic studies that have provided new insight into the dynamics and structure of the topo II DNA gate
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