Statistical-Mechanical Analysis of Enzymatic Topological Transformations in DNA Molecules
Abstract
There are two classes of enzymes, DNA topoisomerases and site-specific recombinases, which change DNA topology. Many details of the enzyme action remain unknown, and therefore different models of the reactions require critical testing. A great help in such testing comes from computer simulation. The computational approach, described in the review, allows simulating the distribution of the reaction products for a chosen model of the enzyme action. Comparing the simulated distribution with corresponding experimental data serves as a model test. The major principles and assumptions of the approach, which is based on the simulation of an equilibrium set of DNA conformations, are discussed. The general consideration is illustrated by two specific examples, models of type II DNA topoisomerases and tyrosine family of site-specific recombination.
Key words
DNA topology Simulation of DNA conformations DNA topoisomerases Site-specific recombinationPreview
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Notes
Acknowledgement
The author thanks the late Nick Cozzarelli for many stimulating discussions of topoisomerases and site-specific recombinases.
References
- [1]J.C. Wang, Moving one DNA double helix through another by a type II DNA topoisomerase: the story of a simple molecular machine, Q. Rev. Biophys. 31: 107–144, 1998.CrossRefGoogle Scholar
- [2]N.D.F. Grindley, K.L. Whiteson, and P.A. Rice, Mechanisms of site-specific recombination, Ann. Rev. Biochem. 75: 567–605, 2006.CrossRefGoogle Scholar
- [3]Y.S. Polikanov, V.A. Bondarenko, V. Tchernaenko, Y.I. Jiang, L.C. Lutter, A. Vologodskii, and V.M. Studitsky, Probability of the site juxtaposition determines the rate of protein-mediated DNA looping, Biophys. J. 93: 2726–2731, 2007.CrossRefGoogle Scholar
- [4]J.A. Schellman, Flexibility of DNA, Biopolymers 13: 217–226, 1974.CrossRefGoogle Scholar
- [5]M.D. Frank-Kamenetskii, A.V. Lukashin, V.V. Anshelevich, and A.V. Vologodskii, Torsional and bending rigidity of the double helix from data on small DNA rings, J. Biomol. Struct. Dyn. 2: 1005–1012, 1985.Google Scholar
- [6]A. Vologodskii, in Simulation of equilibrium and dynamic properties of large DNA molecules, ed. by Lankas, F. and Sponer, J. Springer, Dordrecht, The Netherlands, pp. 579–604, 2006.Google Scholar
- [7]
- [8]Y. Burnier, C. Weber, A. Flammini, and A. Stasiak, Local selection rules that can determine specific pathways of DNA unknotting by type II DNA topoiso-merases, Nucl. Acids Res. 35: 5223–5231, 2007.CrossRefGoogle Scholar
- [9]Z. Liu, J.K. Mann, E.L. Zechiedrich, and H.S. Chan, Topological Information embodied in local juxtaposition geometry provides a statistical mechanical basis for unknotting by type II DNA topoisomerases, J. Mol. Biol. 361: 268–285, 2006.CrossRefGoogle Scholar
- [10]D. Stigter, Interactions of highly charged colloidal cylinders with applications to double-stranded DNA, Biopolymers 16: 1435–1448, 1977.CrossRefGoogle Scholar
- [11]A.V. Vologodskii and N. R. Cozzarelli, Modeling of long-range electrostatic interactions in DNA, Biopolymers 35: 289–296, 1995.CrossRefGoogle Scholar
- [12]M. Le Bret, Monte Carlo computation of supercoiling energy, the sedimentation constant, and the radius of gyration of unknotted and knotted circular DNA, Biopolymers 19: 619–637, 1980.CrossRefGoogle Scholar
- [13]K.V. Klenin, A.V. Vologodskii, V.V. Anshelevich, A.M. Dykhne, and M.D. Frank-Kamenetskii, Effect of excluded volume on topological properties of circular DNA, J. Biomol. Struct. Dyn. 5: 1173–1185, 1988.Google Scholar
- [14]A.A. Brian, H.L. Frisch, and L.S. Lerman, Thermodynamics and equilibrium sedimentation analysis of the close approach of DNA molecules and a molecular ordering transition, Biopolymers 20: 1305–1328, 1981.CrossRefGoogle Scholar
- [15]V.V. Rybenkov, N.R. Cozzarelli, and A.V. Vologodskii, Probability of DNA knotting and the effective diameter of the DNA double helix, Proc. Natl. Acad. Sci. USA 90: 5307–5311, 1993.CrossRefGoogle Scholar
- [16]F.B. Fuller, The writhing number of a space curve, Proc. Natl. Acad. Sci. USA 68: 815–819, 1971.MATHCrossRefMathSciNetGoogle Scholar
- [17]A.V. Vologodskii, S.D. Levene, K.V. Klenin, M.D. Frank-Kamenetskii, and N.R. Cozzarelli, Conformational and thermodynamic properties of super-coiled DNA, J. Mol. Biol. 227: 1224–1243, 1992.CrossRefGoogle Scholar
- [18]K. Klenin and J. Langowski, Computation of writhe in modeling of supercoiled DNA, Biopolymers 54: 307–317, 2000.CrossRefGoogle Scholar
- [19]A. Vologodskii, in Monte Carlo simulation of DNA topological properties, ed. by Monastryrsky, M. Springer, Berlin - Heidelberg - New York, pp. 23–41 2007.Google Scholar
- [20]I. Grainge, S. Pathania, A. Vologodskii, R. Harshey, and M. Jayaram, Symmetric DNA sites are functionally asymmetric within Flp and Cre site-specific DNA recombination synapses, J. Mol. Biol. 320: 515–527, 2002.CrossRefGoogle Scholar
- [21]Q. Du, A. Livshits, A. Kwiatek, M. Jayaram, and A. Vologodskii, Protein-induced local DNA bends regulate global topological complexity of recombination products, J. Mol. Biol. 368: 170–182, 2007.CrossRefGoogle Scholar
- [22]M.D. Frank-Kamenetskii, A.V. Lukashin, and M.D. Vologodskii, Statistical mechanics and topology of polymer chains, Nature 258: 398–402, 1975.CrossRefGoogle Scholar
- [23]D. Rolfsen, Knots and Links Publish or Perish, Inc., Berkeley, CA, 1976.Google Scholar
- [24]V.V. Rybenkov, A.V. Vologodskii, and N.R. Cozzarelli, The effect of ionic conditions on DNA helical repeat, effective diameter, and free energy of supercoiling, Nucl. Acids Res. 25: 1412–1418, 1997.CrossRefGoogle Scholar
- [25]A.V. Vologodskii, W. Zhang, V.V. Rybenkov, A.A. Podtelezhnikov, D. Subramanian, J.D. Griffith, and N.R. Cozzarelli, Mechanism of topology simplification by type II DNA topoisomerases, Proc. Natl. Acad. Sci. USA 98: 3045–3049, 2001.CrossRefGoogle Scholar
- [26]J. Roca, J.M. Berger, S.C. Harrison, and J.C. Wang, DNA transport by a type II topoisomerase – direct evidence for a two-gate mechanism, Proc. Natl. Acad. Sci. USA 93: 4057–4062, 1996.CrossRefGoogle Scholar
- [27]J. Roca and J. C. Wang, The capture of a DNA double helix by an ATP-dependent protein clamp: A key step in DNA transport by topo II DNA topoi-somerases, Cell 71: 833–840, 1992.CrossRefGoogle Scholar
- [28]J. Roca and J. Wang, DNA transport by a type II DNA topoisomerase – evidence in favor of a two-gate mechanism, Cell 77: 609–616, 1994.CrossRefGoogle Scholar
- [29]K.C. Dong and J.M. Berger, Structural basis for gate-DNA recognition and bending by type II A topoisomerases., Nature 450: 1201–1205, 2007.CrossRefGoogle Scholar
- [30]H.A. Nash, in Site-specific recombination: integration, excition, resolution and inversion of defined DNA segments, ed. by Neidhardt, F.C. American Society for Microbiology, Washington DC, pp. 2330–2376 1996.Google Scholar
- [31]D.N. Gopaul and G.D. Van Duyne, Structure and mechanism in site-specific recombination, Curr. Opin. Struct. Biol. 9: 14–20, 1999.CrossRefGoogle Scholar
- [32]R. Kanaar and N.R. Cozzarelli, Roles of supercoiled DNA structure in DNA transactions, Curr. Opion. Struct. Biol. 2: 369–379, 1992.CrossRefGoogle Scholar
- [33]F. Guo, D.N. Gopaul, and G.D. Van Duyne, Asymmetric DNA bending in the Cre-loxP site-specific recombination synapse, Proc. Natl. Acad. Sci. USA 96: 7143–7148, 1999.CrossRefGoogle Scholar
- [34]Y. Chen, U. Narendra, L.E. Iype, M.M. Cox, and P.A. Rice, Crystal structure of a Flp recombinase-Holliday junction complex: assembly of an active oligomer by helix swapping, Mol. Cell 6: 885–897, 2000.Google Scholar
- [35]T. Biswas, H. Aihara, M. Radman-Livaja, D. Filman, A. Landy, and T. Ellenberger, A structural basis for allosteric control of DNA recombination by [lambda] integrase, Nature 435: 1059–1066, 2005.CrossRefGoogle Scholar
- [36]R.H. Hoess and K. Abremski, Interaction of the bacteriophage P1 recombinase Cre with the recombining site loxP, Proc. Natl. Acad. Sci. USA 81: 1026–1029, 1984.CrossRefGoogle Scholar
- [37]A. Mack, B. Sauer, K. Abremski, and R. Hoess, Stoichiometry of the Cre recombinase bound to the lox recombining site, Nucl. Acids Res. 20: 4451–4455, 1992.CrossRefGoogle Scholar
- [38]B.J. Andrews, L.G. Beatty, and P.D. Sadowski, Isolation of intermediates in the binding of the FLP recombinase of the yeast plasmid 2-micron circle to its target sequence, J. Mol. Biol. 193: 345–358, 1987.CrossRefGoogle Scholar
- [39]L. Ringrose, V. Lounnas, L. Ehrlich, F. Buchholz, R. Wade, and A.F. Stewart, Comparative kinetic analysis of FLP and cre recombinases: mathematical models for DNA binding and recombination, J. Mol. Biol. 284: 363–384, 1998.CrossRefGoogle Scholar
- [40]C.J. Schwartz and P.D. Sadowski, FLP protein of 2 mu circle plasmid of yeast induces multiple bends in the FLP recognition target site, J. Mol. Biol. 216: 289–298, 1990.CrossRefGoogle Scholar
- [41]L. Lee, L.C. Chu, and P.D. Sadowski, Cre induces an asymmetric DNA bend in its target loxP site, J. Biol. Chem. 278: 23118–23129, 2003.CrossRefGoogle Scholar
- [42]A.V. Vologodskii, A.V. Lukashin, and M.D. Frank-Kamenetskii, Topological interaction between polymer chains, Sov. Phys. JETP 40: 932–936, 1975.Google Scholar
- [43]H.A. Nash, Bending and supercoiling of DNA at the attachment site of bacteriophage l., Trends Biochem. Sci. 15: 222–227., 1990.CrossRefGoogle Scholar
- [44]Y. Voziyanov, S. Pathania, and M. Jayaram, A general model for site-specific recombination by the integrase family recombinases, Nucl. Acids Res. 27: 930–941, 1999.CrossRefGoogle Scholar
- [45]K. Abremski, R. Hoess, and N. Sternberg, Studies on the properties of P1 site-specific recombination: Evidence for topologically unlinked products following recombination, Cell 32: 1301–1311, 1983.CrossRefGoogle Scholar
- [46]R.H. Hoess and K. Abremski, Mechanism of strand cleavage and exchange in the Cre-lox site-specific recombination system, J. Mol. Biol. 181: 351–362, 1985.CrossRefGoogle Scholar
- [47]L.G. Beatty, D. Babineau-Clary, C. Hogrefe, and P.D. Sadowski, FLP Site-specific Recombinase of Yeast 2-um Plasmid: Topological Features of the Reaction, J. Mol. Biol. 188: 529–544, 1986.CrossRefGoogle Scholar