Free Energy Calculations Reveal Rotating-Ratchet Mechanism for DNA Supercoil Relaxation by Topoisomerase IB and its Inhibition

Topoisomerases maintain the proper topological state of DNA. Human topoisomerase I removes DNA supercoils by clamping a duplex DNA segment, nicking one strand at a phosphodiester bond, covalently attaching to the 3′ end of the nick, and allowing the DNA downstream of the cut to rotate around the intact strand. Using molecular dynamics simulations and umbrella sampling free energy calculations, we show that the rotation of downstream DNA in the grip of the enzyme that brings about release of positive or negative supercoils occurs by thermally assisted diffusion on ratchet energy profiles. The ratchetlike free-energy-versus-rotation profile that we compute provides a model for the function of topoisomerase in which the periodic maxima along the profile modulate the rate of supercoil relaxation, while the minima provide metastable conformational states for DNA religation. The results confirm previous experimental and computational work, and suggest that relaxation of the two types of supercoils involves distinct protein pathways. Additionally, simulations performed with the ternary complex of topoisomerase, DNA, and the chemotherapeutic drug topotecan show important differences in the mechanisms for supercoil relaxation when the drug is present, accounting for the relative values of relaxation rates measured in single-molecule experiments. Good agreement is found between rate constants from tweezer experiments and those calculated from simulations. Evidence is presented for the existence of semiopen states of the protein, which facilitate rotations after the initial one, as a result of biasing the protein into a conformation more favorable to strand rotation than the closed state required for nicking of the DNA.     

Analysis of DNA supercoil induction by FtsK indicates translocation without groove-tracking

FtsK is a bacterial protein that translocates DNA in order to transport chromosomes within the cell. During translocation, DNA's double-helical structure might cause a relative rotation between FtsK and the DNA. We used a single-molecule technique to quantify this rotation by observing the supercoils induced into the DNA during translocation of an FtsK complex. We find that FtsK induces approximately 0.07 supercoils per DNA helical pitch traveled. This rate indicates that FtsK does not track along DNA's groove, but it is consistent with our previous estimate of FtsK's step size. We show that this rate of supercoil induction is markedly near to the ideal value that would minimize in vivo disturbance to the chromosomal supercoil density, suggesting an origin for the unusual rotational behavior of FtsK.     

Presence of negative supercoiling in aggregates of histone H1-plasmidic polynucleosome complexes

It was shown in the past that in the presence of histone H1, plasmidic polynucleosomes formed densely packed aggregates. Our current studies demonstrate that these aggregates are susceptible to the actions of E. coli topoisomerase I, human topoisomerase I and DNA nicking enzyme, which is the indication that negative supercoiling is present in the condensed DNA-protein complexes. Since negative supercoiling leads to formation of highly curved and compact plectonemic and toroidal DNA structures, it would be reasonable to assume that DNA negative supercoils are responsible for aggregation of histone H1-plasmidic polynucleosome complexes.     

DNA gyrase can supercoil DNA circles as small as 174 base pairs.

DNA gyrase introduces negative supercoils into closed-circular DNA using the free energy of ATP hydrolysis. Consideration of steric and thermodynamic aspects of the supercoiling reaction indicates that there should be a lower limit to the size of DNA circle which can be supercoiled by gyrase. We have investigated the supercoiling reaction of circles from 116-427 base pairs (bp) in size and have determined that gyrase can supercoil certain relaxed isomers of circles as small as 174 bp, dependent on the final superhelix density of the supercoiled product. Furthermore, this limiting superhelical density (-0.11) is the same as that determined for the supercoiling of plasmid pBR322. We also find that although circles in the range 116-152 bp cannot be supercoiled, they can nevertheless be relaxed by gyrase when positively supercoiled. These data suggest that the conformational changes associated with the supercoiling reaction can be carried out by gyrase in a circle as small as 116 bp. We discuss these results with respect to the thermodynamics of DNA supercoiling and steric aspects of the gyrase mechanism.     

Coarse-grained modeling reveals the impact of supercoiling and loop length in DNA looping kinetics

Measurements of protein-mediated DNA looping reveal that in vivo conditions favor the formation of loops shorter than those that occur in vitro, yet the precise physical mechanisms underlying this shift remain unclear. To understand the extent to which in vivo supercoiling may explain these shifts, we develop a theoretical model based on coarse-grained molecular simulation and analytical transition state theory, enabling us to map out looping energetics and kinetics as a function of two key biophysical parameters: superhelical density and loop length. We show that loops on the scale of a persistence length respond to supercoiling over a much wider range of superhelical densities and to a larger extent than longer loops. This effect arises from a tendency for loops to be centered on the plectonemic end region, which bends progressively more tightly with superhelical density. This trend reveals a mechanism by which supercoiling favors shorter loop lengths. In addition, our model predicts a complex kinetic response to supercoiling for a given loop length, governed by a competition between an enhanced rate of looping due to torsional buckling and a reduction in looping rate due to chain straightening as the plectoneme tightens at higher superhelical densities. Together, these effects lead to a flattening of the kinetic response to supercoiling within the physiological range for all but the shortest loops. Using experimental estimates for in vivo superhelical densities, we discuss our model’s ability to explain available looping data, highlighting both the importance of supercoiling as a regulatory force in genetics and the additional complexities of looping phenomena in vivo.     

Intramolecular synapsis of duplex DNA by vaccinia topoisomerase.

Complexes formed by vaccinia topoisomerase I on plasmid DNA were visualized by electron microscopy. The enzyme formed intramolecular loop structures in which non-contiguous DNA segments were synapsed within filamentous protein stems. At high enzyme concentrations the DNA appeared to be zipped up within the protein filaments such that the duplex was folded back on itself. Formation of loops and filaments was also observed with an active site mutant, Topo-Phe274. Binding of Topo-Phe274 to relaxed DNA circles in solution introduced torsional strain, which, after relaxation by catalytic amounts of wild-type topo-isomerase, resulted in acquisition of negative supercoils. We surmise that the topoisomerase-DNA complex is a plectonemic supercoil in which the two duplexes encompassed by the protein filaments are interwound in a right handed helix. We suggest that topoisomerase-mediated DNA synapsis plays a role in viral recombination and in packaging of the 200 kbp vaccinia genome during virus assembly.     

Dynamics of Bacillus subtilis helical macrofiber morphogenesis: writhing, folding, close packing, and contraction

Helical Bacillus subtilis macrofibers are highly ordered structures consisting of individual cells packed in a geometry remarkably similar to that found in helically twisted yarns (G. A. Carnaby, in J. W. S. Hearle et al., ed., The Mechanics of Flexible Fibre Assemblies, p. 99-112, 1980; N. H. Mendelson, Proc. Natl. Acad. Sci. U.S.A. 75:2478-2482, 1978). The growth and formation of macrofibers were studied with time-lapse microscopy methods. The basic growth mode consisted of fiber elongation, folding, and the helical wrapping together of the folded portion into a tight helical fiber. This sequence was reiterated at both ends of the structure, resulting in terminal loops. Macrofiber growth was accompanied by the helical turning of the structure along its long axis. Right-handed structures turned clockwise and left-handed ones turned counterclockwise when viewed along the length of a fiber looking toward a loop end. Helical turning forced the individual cellular filaments into a close-packing arrangement during growth. Tension was evident within the structures and they writhed as they elongated. Tension was relieved by folding, which occurred when writhing became so violent that the structure touched itself, forming a loop. When the multistranded structure produced by repeated folding cycles became too rigid for additional folding, the morphogenesis of a ball-like structure began. The dynamics of helical macrofiber formation was interpreted in terms of stress-strain deformations. In view of the similarities between macrofiber structures and those found in multifilament yarns and cables, the physics of helical macrofiber structure and also growth may be suitable for analysis developed in these fields concerning the mechanics of flexible fiber assemblies (C. P. Buckley; J. W. S. Hearle; and J. J. Thwaites, in J. W. S. Hearle et al., ed., The Mechanics of Flexible Fibre Assemblies, p. 1-97, 1980).     

Structural analysis of polymers of sickle cell hemoglobin. II. Sickle hemoglobin macrofibers

Sickle cell hemoglobin macrofibers are an important intermediate in the low pH crystallization pathway of deoxygenated hemoglobin S that link the fiber to the crystal. Macrofibers are a class of helical particles differing primarily in their diameters but are related by a common packing of their constituent subunits. We have performed three-dimensional reconstructions of three types of macrofibers. These reconstructions show that macrofibers are composed of rows of Wishner-Love double strands in an arrangement similar to that in the crystal. We have measured the orientation and co-ordinates of double strands in macrofibers using cross-correlation techniques. In this approach, the electron density projections of double strands calculated from the known high-resolution crystal structure are compared with regions along the length of the particles in which the distinct pattern of double strands in c-axis projection may be observed. Contrary to assertions by Makinen & Sigountos (1984), our results unambigously demonstrate that adjacent rows of double strands in macrofibers are oriented in an antiparallel manner, as in the Wishner-Love crystal. Adjacent rows of antiparallel double strands are displaced along the helical axis relative to their co-ordinates in the crystal. Electron density models of macrofibers based on the crystallographic structure of the sickle hemoglobin double strand are in good agreement with the projections of macrofibers observed in electron micrographs. We have studied the structure of a closely related crystallization intermediate, the sickle hemoglobin paracrystal. The arrangement of double strands in paracrystals is similar to that in Wishner-Love crystals, except that they are displaced along the a-axis of the crystal. Measurements of the double strand co-ordinates reveal that the distribution of strand positions is bimodal. These results further establish the close structural relationship between macrofibers and paracrystals as intermediates in the crystallization of deoxygenated sickle hemoglobin.     

Diverse energetic effects of charge reversal mutations of poxvirus topoisomerase IB

A key aspect of the reaction mechanism of type IB topoisomerases is the controlled unwinding of DNA supercoils while the enzyme is transiently bound to one strand of the DNA duplex via a phosphotyrosyl linkage. In this complex, the mobile segment of the bound DNA downstream from the site of cleavage must rotate around the helical axis, requiring that interactions with the enzyme must break and re-form multiple times during the course of removing supercoils. A crystal structure of variola virus type IB topoisomerase (vTopo) bound to DNA shows several positively charged side chains that interact with the downstream mobile and upstream rigid segments, suggesting that these groups may play a role in catalysis, including the processive unwinding of supercoils. We have mutated three such residues, R67, K35, and K271, to Ala and Glu and determined the energetic effects of these mutations at each point along the reaction coordinate of vTopo. R67 interacts with a phosphate group in the rigid DNA segment across from the site of DNA strand cleavage. The ~30-fold damaging effects of the R67A and R67E mutations were primarily on the phosphoryl transfer step, with little effect on enzyme-DNA binding, or the processivity of supercoil unwinding. Removal of the K35 interaction shows mutational effects similar to those of R67, even though this residue interacts with the mobile segment 3 bp from the cleavage site. The two mutations of K271, which interacts with the mobile region even further from the site of covalent linkage, show significant effects not only on phosphoryl transfer but also on downstream DNA strand positioning. Moreover, supercoil unwinding measurements indicate that the K271A and K271E mutations increase the average number of supercoils that are removed during the lifetime of the covalent complex, enhancing the processivity of supercoil unwinding. These measurements support the proposal that the processivity of supercoil unwinding can be regulated by electrostatic interactions between the enzyme and the mobile DNA phosphate backbone.     

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.     

Structural perturbations in DNA caused by bis-intercalation of ditercalinium visualised by atomic force microscopy

Atomic force microscopy (AFM) has been used to examine perturbations in the tertiary structure of DNA induced by the binding of ditercalinium, a DNA bis-intercalator with strong anti-tumour properties. We report AFM images of plasmid DNA of both circular and linearised forms showing a difference in the formation of supercoils and plectonemic coils caused at least in part by alterations in the superhelical stress upon bis-intercalation. A further investigation of the effects of drug binding performed with 292 bp mixed-sequence DNA fragments, and using increment in contour length as a reliable measure of intercalation, revealed saturation occurring at a point where sufficient drug was present to interact with every other available binding site. Moment analysis based on the distribution of angles between segments along single DNA molecules showed that at this level of bis-intercalation, the apparent persistence length of the molecules was 91.7 ± 5.7 nm, approximately twice as long as that of naked DNA. We conclude that images of single molecules generated using AFM provide a valuable supplement to solution-based techniques for evaluation of physical properties of biological macromolecules.     

Macrofiber structure and the dynamics of sickle cell hemoglobin crystallization

Fibers of deoxyhemoglobin S undergo spontaneous crystallization by a mechanism involving a variety of intermediate structures. These intermediate structures, in common with the fiber and crystal, consist of Wishner-Love double strands of hemoglobin S molecules arranged in different configurations. The structure of one of the key intermediates linking the fiber and crystal, called a macrofiber, has been studied by a variety of analytical procedures. The results of the analysis indicate that the intermediates involved in the fiber to crystal transition have many common structural features. Fourier analysis of electron micrographs of macrofibers confirms that they are composed of Wishner-Love double strands of hemoglobin molecules. Electron micrographs of macrofiber cross-sections reveal that the arrangement of the double strands in macrofibers resembles that seen in micrographs of the a axis projection of the crystal. This orientation provides an end-on view of the double strands which appear as paired dumb-bell-like masses. The structural detail becomes progressively less distinct towards the edge of the particle due to twisting of the double strands about the particle axis. Serial sections of macrofibers confirm that these particles do indeed rotate about their axes. The twist of the particle is right handed and its average pitch is 10,000 Å. The effect of rotation on the appearance of macrofiber cross-sections 300 to 400 Å thick can be simulated by a 15 ° rotation of an a axis crystal projection. The relative polarity of the double strands in macrofibers and crystals can be determined easily by direct inspection of the micrographs. In both macrofibers and crystals they are in an anti-parallel array.On the basis of these observations we conclude that crystallization of macrofibers involves untwisting and alignment of the double strands.     

Geometry of site alignment during int family recombination: antiparallel synapsis by the Flp recombinase

The Flp site-specific recombinase functions in the copy number amplification of the yeast 2 microm plasmid. The recombination reaction is catalyzed by four monomers of Flp bound to two separate, but identical, recombination sites (FRT sites) and occurs in two sequential pairs of strand exchanges. The relative orientation of the two recombination sites during synapsis was examined. Topoisomerase relaxation and nick ligation were used to detect topological nodes introduced by the synapse prior to the chemical steps of recombination. A single negative supercoil was found to be trapped by Flp in substrates with inverted FRT sites whereas no trapped supercoils were observed with direct repeats. The topology of products resulting from Flp-mediated recombination adjacent to a well characterised synapse, that of Tn3 resolvase/res, was analyzed. The deletion and inversion reactions yielded the four noded catenane and the three noded knot, respectively, as the simplest and the most abundant products. The linking number change introduced by the Flp-mediated inversion reaction was determined to be +/-2. The most parsimonious explanation of these results is that Flp aligns its recombination sites with antiparallel geometry. The majority of synapses appear to occur without entrapment of additional random plectonemic DNA supercoils between the sites and no additional crossings are introduced as a result of the chemical steps of recombination.     

The mechanisms responsible for 2-dimensional pattern formation in bacterial macrofiber populations grown on solid surfaces: fiber joining and the creation of exclusion zones

Background  

When Bacillus subtilis is cultured in a complex fluid medium under conditions where cell separation is suppressed, populations of multicellular macrofibers arise that mature into ball-like structures. The final sedentary forms are found distributed in patterns on the floor of the growth chamber although individual cells have no flagellar-driven motility. The nature of the patterns and their mode of formation are described in this communication.     

High positive supercoiling in vitro catalyzed by an ATP and polyethylene glycol-stimulated topoisomerase from Sulfolobus acidocaldarius

A topoisomerase able to introduce positive supercoils in a closed circular DNA, has been isolated from the archaebacterium Sulfolobus acidocaldarius. This enzyme, fully active at 75 degrees C, performed in vitro positive supercoiling either from negatively supercoiled, or from relaxed DNA in a catalytic reaction. In the presence of polyethylene glycol (PEG 6000), this reaction became very fast and highly processive, and the product was positively supercoiled DNA with a high superhelical density (form I+). Very low (5 - 10 micromoles) ATP concentrations were sufficient to support full supercoiling; the nonhydrolyzable analogue adenosine-5' -0-(3-thiotriphosphate) also sustained the production of positive supercoils, but to a lesser extent, suggesting that ATP hydrolysis was necessary for efficient activity. Nevertheless, low residual of positive supercoiling occurred, even in the absence of ATP, when the substrate was negatively supercoiled. Finally, the different ATP-driven topoisomerizations observed, i.e., relaxation of negative supercoils and positive supercoiling, in all cases increased the linking number of DNA in steps of 1, suggesting the action of a type I, rather than a type II topoisomerase.=