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November 21, 2013
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April 26, 2016
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Publications

Overview

Publications

April 16, 2015
  • 35. Arsuaga, J., Jayasinghe, R.*, Scharein, R., Segal, M., Stolz, R.* and Vazquez, M., Current theoretical models fail to predict the topological complexity of the human genome (2015) Frontiers in Molecular Biosciences 2:48. doi:10.3389/fmolb.2015.00048
     
  • 34. Segal, M., Xiong, H., Capurso, D., Vazquez, M., and Arsuaga, J., Vazquez, M., Curriculum Vitae 6 Reproducibility of Three-Dimensional Chromatin Configuration Reconstructions (2014) Biostatistics, Epub ahead of print, Feb 11.
     
  • 33. Shimokawa, K., Ishihara, K., Grainge, I., Sherratt, D., and Vazquez, M., FtsK-dependent XerCD-dif recombination unlinks replication catenanes in a  stepwise manner (2013) Proceedings of the National Academy of Sciences USA Nov 11 [Epub ahead of print]; SI movie
    Press Release 
     
  • 32. Ishihara, K., Shimokawa, K. and Vazquez, M., Site-specific recombination modeled as a band surgery: Applications to Xer Recombination (2013) in Discrete and Topological Models in Molecular Biology (Eds. Jonoska Nataša; Saito, Masahico) Natural Computing Series, Springer ISBN 978-3-642-40192-3  [Book Chapter] 
     
  • ​31. Brasher, R. Scharein, RG. and Vazquez, M., New biologically motivated knot table (2013) Biochemical Society Transactions 41(2):606-611 
     
  • ​30. Darcy, IK. and Vazquez, M., Determining the topology of stable protein-DNA complexes (2013) Biochemical Society Transactions 41(2):601-605 
     
  • 29. K. Ishihara, R. Scharein, Y. Diao, J. Arsuaga, M. Vazquez, and K.Shimokawa, Bounds for the minimum step number of knots confined to slabs in the simple cubic lattice (2012) J.Phys A.: Math. Theor. 45: 065003
     
  • 28. Soteros, C., Ishihara, K., Shimokawa, K., Szafron, M., and Vazquez, M., Signed Unknotting Number and Knot Chirality Discrimination via Strand Passage, Progress of Theoretical Physics Supplement, Proceedings of the Conference “Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins, YITP, Kyoto, 2-6 August 2010
     
  • 27. Diao, Y., Hinson, K., Kaplan, T., Vazquez, M, and Arsuaga, J.,The effects of density on the topological structure of the mitochondrial DNA from trypanosomes, Journal of Mathematical Biology, in press, online DOI: 10.1007/s00285-011-0438-0
     
  • 26. Portillo, J.*, Diao, Y., Scharein, R., Arsuaga, J., and Vazquez, M., On the mean and varaince of the writhe of random polygons, J. of Phys. A: Math Theor. 44 (2011) 275004
     
  • 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. PDF
     
  • 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. Vazquez, TangleSolve: 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. Vazquez, Knots and DNA, Revista Situs (1995) IMATE, UNAM, Mexico 

Theses

  • M.E. Vazquez, Tangle Analysis of Site-specific Recombination: Gin and Xer systems, PhD Dissertation, Mathematics FSU (2000) 
     
  • M.E. Vazquez, Applications of Knot Theory to the Study of DNA, B.Sc. Thesis, Mathematics, UNAM (1995)
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The National Science Foundation began supporting ADVANCE initiatives in 2001, and has awarded over $130M in funding for a variety of programs. The most significant efforts seek to create permanent institutional transformation. 

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