Skip to main content
Log in

On representation of DNA by line distance matrix

  • Published:
Journal of Mathematical Chemistry Aims and scope Submit manuscript

Recently Line Distance (LD) matrix has been introduced as a novel route for characterization of DNA sequences. The approach was based on construction of four separate submatrices for the four nucleotides, the first row of each of which records the separation between the selected nucleotide and the remaining nucleotides of the same kind. In this article, we consider an alternative representation of DNA by LD matrix in which we construct a single matrix for each DNA sequence. The approach is illustrated on the DNA sequence of the first exon of human β-globin gene.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Hamori E., Ruskin J. (1983) J. Biol. Chem. 258: 1318

    CAS  Google Scholar 

  2. Hamori E. (1985). Nature 314: 585

    Article  CAS  Google Scholar 

  3. Gates M.A. (1986) J. Theor. Biol. 119: 319

    Article  CAS  Google Scholar 

  4. Hamori E. (1989). BioTechniques 7: 710

    Article  CAS  Google Scholar 

  5. Jeffrey H.J. (1990) Nucleic Acids Res. 18: 2163

    Article  CAS  Google Scholar 

  6. Nandy A. (1994) Curr. Sci. 66: 309

    CAS  Google Scholar 

  7. Leong P.M., Morgenthaler S. (1995) Comput. Appl. Biosci. 11: 503

    CAS  Google Scholar 

  8. Randić M., Vračko M., Nandy A., Basak S.C. (2000) J. Chem. Inf. Comput. Sci. 40: 1235

    Article  CAS  Google Scholar 

  9. Randić M., Lerš N., Plavšić D. (2003) Chem. Phys. Lett. 368: 1

    Article  Google Scholar 

  10. Randić M. (2004) Chem. Phys. Lett. 386: 468

    Article  CAS  Google Scholar 

  11. Randić M., Vračko M., Lerš N., Plavšić D. (2003) Chem. Phys. Lett. 371: 202

    Article  CAS  Google Scholar 

  12. Randić M., Vračko M., Zupan J., Novič M. (2003) Chem. Phys. Lett. 373: 558

    Article  CAS  Google Scholar 

  13. Randić M., Zupan J. (2004) SAR and QSAR Environ. Res. 15: 147

    Google Scholar 

  14. Randić M. (2005) Period. Biol. 107: 415

    Google Scholar 

  15. Randić M., Vikić-Topić D., Graovac A., Lerš N., Plavšić D. (2005) Period. Biol. 107: 437

    Google Scholar 

  16. X. Liu, Q. Dai and T. Wang, J. Mol. Graph. Model (in press).

  17. Zupan J., Randić M. (2005) J. Chem. Inf. Model. 45: 309

    Article  CAS  Google Scholar 

  18. Guo X., Randić M., Basak S.C. (2001) Chem. Phys. Let. 350: 106

    Article  CAS  Google Scholar 

  19. Randić M., Lerš N., Plavšić D., Basak S.C., Balaban A.T. (2005) Chem. Phys. Lett. 407: 205

    Article  CAS  Google Scholar 

  20. Randić M. (2000) J. Chem. Inf. Comput. Sci. 40: 50

    Article  CAS  Google Scholar 

  21. Randić M. (2000) Chem. Phys. Lett. 317: 29–342

    Article  Google Scholar 

  22. Randić M., Basak S.C. (2001) J. Chem. Inf. Comput. Sci. 41: 561

    Article  CAS  Google Scholar 

  23. Randić M., Vračko M. (2000) J. Chem. Inf. Comput. Sci. 40: 599

    Google Scholar 

  24. Randić M., Guo X., Basak S.C. (2001) J. Chem. Inf. Comput. Sci. 41: 619

    Article  CAS  Google Scholar 

  25. Randić M., Balaban A.T. (2003) J. Chem. Inf. Comput. Sci. 43: 532

    Article  CAS  Google Scholar 

  26. M. Randić, in: The Encyclopedia of Computational Chemistry, eds. P.V.R. Schleyer, N.L. Allinger, T. Clark, J. Gasteiger, P.A. Kollman, H.F. Schaefer III and P.R. Schreiner, (John Wiley, Chichester, 1998) p. 3018.

  27. A.T. Balaban, in: Encyclopedia of Analytical Chemistry, ed. R.A. Meyers, (Wiley Chichester, UK, 2000).

  28. R. Todeschini and V. Consonni, Handbook of Molecular Descriptors (Methods and Principles in Medicinal Chemistry, Vol. 11, eds. R. Mannhold, H. Kubinyi and H. Timmerman (Wiley-VCH, New York)

  29. Katritzky A.R., Lobanov V., Karelson M. (1994). CODESSA (Comprehensive Descriptors for Structural and Statistical Analysis) University of Florida, Gainesville, FL

    Google Scholar 

  30. A.T. Balaban, in: Topological Indices and Related Descriptors in QSAR and QSPR eds. J. Devillers, A.T. Balaban, (Gordon and Breach, Amsterdam, The Netherlands, 1999) p. 403.

  31. E. Estrada, in: Topological Indices and Related Descriptors in QSAR, and QSPR, eds. J. Devillers, A.T. Balaban, (Gordon and Breach, Amsterdam, 1999) p 403.

  32. S.C. Basak, G.D. Grunwald and G.J. Niemi, in: From Chemical Topology to Three-dimensional Geometry, ed. A.T. Balaban, (Plenum Press, New York 1977) p. 73.

  33. G. Jaklič, T. Pisanski and M. Randić, presented at Complex Objects Visualization 2005, University of Primorska, Koper, Slovenia, 16–19 November 2005.

  34. G. Jaklič, T. Pisanski and M. Randić, MATCH, Comm. Math. Chem. (submitted).

  35. G. Jaklič, T. Pisanski and M. Randić, J. Comput. Biol. (in press).

  36. G. Jaklič, T. Pisanski and M. Randić, Poster: Ghent University, Belgium. Book of abstracts, p. 28, February 6–9 2006.

  37. Brookes, M., The Matrix Reference Manual [on line] http://www.ee.ic.ac.uk/hp/staff/dmb/matrix/intro. html.2005

  38. Hladnik M., Marušič D., Pisanski T. (2002) Discrete Math. 244: 137

    Article  Google Scholar 

  39. Hladnik M. (1999) Linear Algebra Appl. 286: 261

    Article  Google Scholar 

  40. Davis P.J. (1979). Circulant Matrices. Wiley, New York

    Google Scholar 

  41. Putnam C.R. (1964) Pac. J. Math. 14: 651

    Google Scholar 

  42. Wiener H. (1947) J. Am. Chem. Soc. 69: 17

    Article  CAS  Google Scholar 

  43. Barnsley M.F., Rising H. (1993). Fractals Everywhere, 2nd ed. Academic Press, Boston, MA

    Google Scholar 

  44. M. Randić, J. Math. Chem. (submitted)

  45. Randić M., Zupan J., Vikić-Topić D., Plavšić D. (2006) Chem. Phys. Lett. 431: 357

    Google Scholar 

  46. M. Randić, Acta Chim. Slovenica (in press).

  47. M. Randić, M. Novič, D. Vikić-Topić, N. Lerš and D. Plavšić, J. Mol. Graph. Model. (submitted).

  48. M. Randić, Chem. Phys. Lett. (submitted).

  49. M. Randić and D. Juretić, J. Chem. Inf. Model. (submitted).

  50. Hashimotoa Y., Niikura T., Tajima H., Yasukawa T., Sudo H., Ito Y., Kita Y., Kawasumi M., Koumaya K., Doyu M., Sobue G., Koide T., Tsuji S., Lang J., Kurokawa K., Nishimotoa I. (2001) Proc. Natl. Acad. Sci. USA 98: 6336

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Milan Randić.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Randić, M., Zupan, J. & Pisanski, T. On representation of DNA by line distance matrix. J Math Chem 43, 674–692 (2008). https://doi.org/10.1007/s10910-006-9219-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10910-006-9219-1

Keywords

Navigation