Skip to main content
Log in

Effects of secondary structures in RNA on interlocking probabilities

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

Abstract

In 1967 Wang and Schwartz reported on the formation of interlocked rings between linear or circular DNA molecules by the enzyme topoisomerase. We propose viewing the secondary structured loop in RNA (or single stranded DNA) as analogous to a circular DNA molecule. Formation of a catenane between such an RNA loop with a DNA molecule may constitute a probe of the secondary and general three dimensioanl structure of the RNA molecule. The experimental results may be compared with the theoretical calculation. We suggest here a method for estimating linkage probabilities and calculate them for several cases for which secondary structures of the RNA have been proposed.

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. Borer, P. N., Dengler, B., Tinoco, I. Jr., Uhlenbeck, O. C.: Stability of Ribonucleic and double stranded helices. J. Mol. Biol. 86, 843–853 (1974)

    Google Scholar 

  2. Delisi, C., Crothers, D. M.: Prediction of RNA secondary structure. Proc. Natl. Acad. Sci. USA 68, 2682–2685 (1971)

    Google Scholar 

  3. Felsenfeld, G., Hirschman, S. Z.: A neighbor-interaction analysis of hypochromism and spectra of DNA. J. Mol. biol. 13, 407–427 (1965)

    Google Scholar 

  4. Fiers, W., Centreras, R., Duerinck, F., Haegeman, G., Iserentant, D., Merregaert, J., Min Jou, W., Molemans, F., Raeymakers, A., Van den Berghe, A., Volckaert, G., Ysebaert, M.: Complete nucleotide sequence of bacteriophage MS2 RNA: Primary and secondary structure of the replicase gene. Nature 260, 500–507 (1976)

    Google Scholar 

  5. Geller, M., Mizuuchi, K., O'Dea, M. H., Nash, H. A: DNA gyrase: an enzyme that introduces superhelical turns into DNA. Proc. Natl. Acad. Sci. USA 73, 3872–3876 (1976)

    Google Scholar 

  6. Gralla, J., Crothers, D. M.: Free energy of imperfect nucleic acid helices. J. Mol. biol. 73, 497–511 (1973a).

    Google Scholar 

  7. Gralla, J., Crothers, C. M.: Free energy of imperfect nucleic acid helices III. J. Mol. Biol. 78, 301–319 (1973b)

    Google Scholar 

  8. Griggs, J. R.: Symmetric chain orders, Spencer theorems and loop matchings. Ph.D. dissertations, M.I.T. (1977)

  9. Gross, H. J., Domdey, H., Lossow, C., Jank, P., Raba, M., Alberty, H., Sanger, H. L.: Nucleotide sequence and secondary structure of potato spindle tuber viroid. Nature 273, 203–208 (1978)

    Google Scholar 

  10. Mandelkern, M., Elias, J. G., Eden, D., Crothers, D. M.: The dimension of DNA in solution. J. Mol. Biol. 152, 153–161 (1981)

    Google Scholar 

  11. Nussinov, R., Jacobson, A. B.: Fast algorithm for predicting the secondary structure of single stranded RNA. Proc. Natl. Acad. Sci. USA 77, 6309–6313 (1980)

    Google Scholar 

  12. Nussinov, R., Tinoco, I., Jr.: Sequential folding of a messenger RNA molecule. J. Mol. biol. 151, 519–533 (1981)

    Google Scholar 

  13. Nussinov, R., Pieczenik, G., Griggs, J., Kleitman, D.: Algorithms for loop matching. Soc. Ind. Appl. Math. (c) J. Appl. Math. 35, 68–82 (1978)

    Google Scholar 

  14. Salser, W.: Globin mRNA sequences: analysis of base pairing and evolutionary implications. Cold Spring Harbor Symp. on Quant. Biol. 42, 985–1002 (1977)

    Google Scholar 

  15. Tinoco, I., Jr., Borer, P. N., Dengler, B., Levine, M. D., Uhlenbeck, O. C., Crothers, D. M., Gralla, J.: Improved estimation of secondary structure in Ribonucleic acids. Nature New Biol. 246, 40–41 (1973)

    Google Scholar 

  16. Tinoco, I., Jr., Uhlenbeck, O. C., Levine, M. D.: Estimation of secondary structure in ribonucleic acids. Nature 230, 362–367 (1971)

    Google Scholar 

  17. Wang, J. C., Liu, L. F.: Molecular Genetics, (Taylor, J. H. ed.), part 3, pp. 65–68, New york: Academic Press 1979

    Google Scholar 

  18. Wang, J. C., Schwartz, H.: Noncomplementarity in base sequences between the cohesive ends of coliphages 186 and λ and the formation of interlocked rings between the two DNAS. Bipolymers 5, 953–966 (1967)

    Google Scholar 

  19. Woese, C. R., Magrum, L. J., Gupta, R., Siegel, R. B., Stahl, D. A., Kop, J., Crawford, N., Brosius, J., Guttel, R., Hogan, J. J., Noller, H. F. Secondary structrue model for bacterial 16S ribosomal RNA: phylogenetic, enzymatic and chemical evidence. Nucl. Acids Res. 8, 2275–2293 (1980)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nussinov, R. Effects of secondary structures in RNA on interlocking probabilities. J. Math. Biology 19, 95–107 (1984). https://doi.org/10.1007/BF00275933

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00275933

Key words

Navigation