참고문헌
- A.D. Bates and A. Maxwell, DNA Topology, Oxford University Press, Oxford, 2005.
- D. Buck and C.V. Marcotte, Tangle solutions for a family of DNA rearranging proteins, Math. Proc. Camb. Phil. Soc. 139 (2005), 59-80. https://doi.org/10.1017/S0305004105008431
- J.H. Conway, An enumaration of knots and links and some of their related properties, Computational Problems in Abstract Algebra (John Leech, ed.), Pergamon Press, Oxford and New York, 1969.
- M.C. Culler and C.M. Gordon, J. Luecke and P.B. Shalen, Dehn surgery on knots, Ann. of Math. 125 (1987), 237-300. https://doi.org/10.2307/1971311
- I.K. Darcy, Solving unoriented tangle equations involving 4-plats, J. Knot Theory Ramifications 14 (2005), 993-1005. https://doi.org/10.1142/S0218216505004202
- I.K. Darcy, Solving oriented tangle equations involving 4-plats, J. Knot Theory Ramifications 14 (2005), 1007-1027. https://doi.org/10.1142/S0218216505004214
- I.K. Darcy, J. Luecke, and M. Vazquez, Tangle analysis of dierence topology experiments, Applications to a Mu protein-dna complex, Algebraic and Geometric Topology 9 (2009), 2247-2309. https://doi.org/10.2140/agt.2009.9.2247
- F.B. Dean, A. Stasiak, T. Koller, and N.R. Cozzarelli, Duplex DNA knots produced by Escherichia Coli topoisomerase I, J. Biol. Chem. 260 (1985), 4795-4983.
- C. Ernst, Tangle equations, J. Knot Theory Ramications 5 (1996), 145-159. https://doi.org/10.1142/S0218216596000114
- C. Ernst and D.W. Sumners, A calculus for rational tangles, applications to DNA recombination, Math. Proc. Camb. Phil. Soc. 108 (1990), 489-515. https://doi.org/10.1017/S0305004100069383
- C. Ernst and D.W. Sumners, Solving tangle equations arising in a DNA recombination model, Math. Proc. Camb. Phil. Soc. 126 (1990), 23-36.
- M. Hirasawa and K. Shimokawa, Dehn surgeries on strongly invertible knots which yield lens spaces, Proc. Amer. Math. Soc. 128 (2000) 3445-3451. https://doi.org/10.1090/S0002-9939-00-05417-4
- S. Kim, A generalized 4-string solution tangle of DNA-protein complexes, J. KSIAM 15 (2011) 161-175.
- S. Kim, Topological analysis of Mu transposition, J. KSIAM 17 (2013) 87-102.
- S. Kim and I.K. Darcy, Topological analysis of DNA-protein complexes, Mathematics of DNA Structure, Function, and Interactions, IMA 150 (2009) 177-194.
- S. Kim and I.K. Darcy, 4-string tangle analysis of DNA-protein complexes based on difference topology experiment, J. Knot Theory Ramifications 24, 1550056 (2015) https://doi.org/10.1142/S021821651550056X
- P. Kronheimer, T. Mrowka, P. Ozsvath, and Z. Szabo, Monopoles and lens space surgeries, Ann. of Math. 165 (2007), 457-546. https://doi.org/10.4007/annals.2007.165.457
- S. Pathania, M. Jayaram, and R.M. Harshey, Path of DNA within the Mu transpososome: transposase interactions bridging two Mu ends and the enhancer trap five DNA supercoils, Cell 109 (2002), 425-436. https://doi.org/10.1016/S0092-8674(02)00728-6
- Z. Petrushenko, C. Lai, R. Rai, and V. Rybenkov, DNA reshaping by MukB, J. Biol. Chem. 281 (2006), 4604-4615.
- Y. Saka and M. Vazquez, Tanglesolve, topological analysis of site-specific recombination, Bioinformatics 18 (2002), 1011-1012. https://doi.org/10.1093/bioinformatics/18.7.1011
- R.G. Scharein, Interactive Topological Drawing, PhD thesis, Department of Computer Science, The University of British Columbia, 1998.
- D.W. Sumners, C. Ernst, N.R. Cozzarelli, and S.J. Spengler, Mathematical analysis of the mechanisms of DNA recombination using tangles, Quarterly Reviews of Biophysics 28 (1995).
- M. Vazquez and D.W. Sumners, Tangle analysis of gin site-specic recombination, Math. Proc. Camb. Phil. Soc. 136 (2004), 565-582. https://doi.org/10.1017/S0305004103007266
- A. Vetcher, A.Y. Lushnikov, J. Navarra-Madsen, R. Scharein, Y. Lyubchenko, I. Darcy, and S. Levene, DNA topology and geometry in Flp and Cre recombination, J. Mol. Biol. 357 (2006), 1089-1104. https://doi.org/10.1016/j.jmb.2006.01.037
- J.C. Wang, Cellular roles of DNA topoisomerases, a molecular perspective, Nature Revies Molecular Cell Biology 3 (2002), 430-440. https://doi.org/10.1038/nrm831
- S.A. Wasserman and N.R. Cozzarelli, Determination of the stereostructure of the product of Tn3 resolvase by a general method, Proc. Nat. Acad. Sci. U.S.A. 82 (1985), 1079-1083. https://doi.org/10.1073/pnas.82.4.1079
- S.A. Wasserman, J.M. Dungan, and N.R. Cozzarelli, Discovery of a predicted DNA knot substantiates a model for site-specific recombination, Science 229 (1985), 171-174. https://doi.org/10.1126/science.2990045
- J.D. Watson and F.H.C. Crick, A Structure for Deoxyribose Nucleic Acid, Nature 171(1953), 737-738. https://doi.org/10.1038/171737a0