Mariel Vazquez

Image: Mathematical and Biological knots and links



  • 25. Shimokawa, K., and Vazquez, M., DNA and Knot Theory (in Japanese), Sugaku (2010) 62, The Mathematical Society of Japan (Expository paper) Note: The English version will appear in "Sugaku Expositions" (AMS).

  • 24. DeWoskin, D., Climent, J., Cruz-White, I., Vazquez, M., Park, C., and Arsuaga, J, Applications of Computational Homology to Prediction of Treatment Response in Breast Cancer Patients (2010) Topology and its Applications 157 (1): 157-164

  • 23. Scharein, R., Ishihara, K., Arsuaga, J., Diao, Y., Shimokawa, K., and Vazquez, M., Bounds for minimal step number of knots in the simple cubic lattice (2009) J. Phys. A :Math. Theor. 42: 475006.

  • 22. Darcy, I. , Luecke, J. and Vazquez, M., Tangle analysis of difference topology experiments: applications to a Mu protein-DNA complex (2009) Algebraic and Geometric Topology 9: 2247-2309. This preprint can also be accessed from the IMA preprint series.

  • 21. Arsuaga, J., Diao, Y., and Vazquez, M., Mathematical Methods in DNA Topology: Applications to Chromosome Organization and Site-specific Recombination, (2009) in Mathematics of DNA Structure, Function and Interactions (eds C.J. Benham, S. Harvey, W.K. Olson, D.W. Sumners and D. Swigon), Springer Science + Business Media, LLC, New York, pp. 7-36.

  • 20. Ardanza-Trevijano, S, Arsuaga, J, Crespo, JA, Hernandez, LJ, Rivas, MT, Roca, J. and Vazquez, M, Invariantes Topologicos en el ADN, los Fullerenos y la Teoria de Eleccion Social (2007) La Gaceta de la RSME 10(3):611-632


  • 19. Grainge, I, Bregu, M, Vazquez, M, Sivanathan, V, Ip, SC, and Sherratt, DJ, (2007) Unlinking chromosomes catenated in vivo by site-specific recombination EMBO J 26(19):4228-4238 

  • 18. Hua, X, Raghavan, B, Nguyen, D,  Arsuaga, J, and Vazquez, M (2007) Random State Transitions of Knots: a first step towards modeling unknotting by type II topoisomerases Topology and its Applications 154(7):1381-1397

  • 17. Zheng, W, Galloy, C, Hallet, B and Vazquez, M, The tangle model for site-specific recombination: a computer interface and the TnpI-IRS recombination system (2007) Proceedings of International Workshop on Knot Theory for Specific Objects, Ed. A. Kawauchi, OCAMI studies 1(2): 251-271(PDF)

  • 16. Blackstone, T, McGuirk, P, Liang, C, Roca, J, Arsuaga, J, Vazquez, M., The role of writhe in DNA condensation (2007) Proceedings of the International Workshop on Knot Theory for Scientific Objects, Ed. A. Kawauchi, OCAMI studies 1(2): 239-250.(PDF)

  • 15. J. Arsuaga, M. Vazquez, P. McGuirck, Trigueros, S., D.W. Sumners, J. Roca DNA knots reveal a chiral organization of DNA in phage capsids; Proc. Natl Acad Sci U.S.A (2005) 102(26):9165-9. (PDF)

  • 14. Vives, S. Bradford, L., Vazquez, M., Brenner, D.J., Sachs, R.K., Hlatky, L, Cornforth, M. and Arsuaga, J.  SCHIP: Statistics of Chromosome Interphase Positioning Based on Interchange Data, Bioinformatics. (2005) 21(14):3181-2 (PDF)

  • 13. M. Vazquez, S.D. Colloms, D.W. Sumners, Tangle analysis of Xer recombination reveals only three solutions, all consistent with a single 3-dimensional topological pathway; J. Mol Biol (2005) 346: 493-504 (PDF) 

  • 12. Arsuaga, J., Greulich-Bode, K., Vazquez, M., Brukner, M.,Hahnfeldt,P., Brenner, D.J., Sachs, R. and Hlatky, L. Chromosome positioning through radiogenic aberrations, Int. J. Radiat. Biol. (2004) 80(7):507-15 (PDF) 

  • 11. D. Levy, M. Vazquez, B. Loucas, M. Cornforth,  R.K. Sachs, J. Arsuaga, Comparing DNA damage processing pathways by computer analysis of chromosome painting data, J. Comput. Biol. (2004) 11(4): 626-41 (PDF)

  • 10. M. Vazquez, D.W. Sumners, Tangle Analysis of Gin recombination, Math. Proc. Camb. Phil. Soc. (2004) 136:565-582 (PDF)

  • 9. J. Arsuaga, R. Tam, M. Vazquez, D.W. Sumners, S. Harvey, Investigation of viral DNA packaging using molecular mechanics models, Journal of Biophysical Chemistry (2002)  101-102(1):475-484 (PDF) 
  • 8. Y. Saka, M. VazquezTangleSolve: topological analysis of site-specific recombination, Bioinformatics (2002) 18:1011-1012 (PDF)
  • 7. J. Arsuaga, M. Vazquez, S. Trigueros, D.W. Sumners, J. Roca, Knotting probability of DNA molecules confined in restricted volumes: DNA knotting in phage capsids, Proc. Natl. Acad. Sci. USA (2002) 99(8):5373-5377 (PDF)
  • 6. M. Vazquez, K.M. Greulich-Bode, J. Arsuaga, M.N. Cornforth, M. Bruckner, R.K. Sachs, P. Hahnfeldt, M. Molls, L. Hlatky, Computer analysis of mFISH chromosome aberration data uncovers an excess of very complex metaphases, International Journal of Radiation Biology (2002) 78:1103-1116 ( PDF)
  • 5. M.N. Cornforth, K.M. Greulich-Bode, B.D. Loucas, J. Arsuaga, M. Vazquez, R.K. Sachs, M. Bruckner, M. Molls, P. Hahnfeldt, L. Hlatky, D.J. Brenner Chromosomes are predominantly located randomly with respect to each other in interphase human cells, Journal of Cell Biology (2002) 159(2):237-244 (PDF)
            Refer also to accompanying commentary: Chromosomal Cliques by A.W. Dove, Journal of Cell Biology (2002) 159(2):199 (PDF
  • 4. R.K. Sachs, J. Arsuaga, M. Vazquez, P. Hahnfeldt, L. Hlatky, Using Graph Theory to Analyze Chromosome Aberrations, Radiation Research (2002) 159(5):556-567 (PDF)
  • 3. L. Hlatky, R.K.Sachs, M. Vazquez, M.N. Cornforth, Radiation-induced chromosome aberrations: insights gained from biophysical modeling, Bioessays (2002) 24:714-723 (PDF)
  • 2. S. Trigueros, J. Arsuaga, M.E. Vazquez, D.W. Sumners, J. Roca, Novel display of knotted DNA molecules by two-dimensional gel electrophoresis, Nucleic Acids Research (2001) 29(13):e67 (PDF)
  • 1. M.E. VazquezKnots and DNA, Revista Situs (1995) IMATE, UNAM, Mexico