Skip to main content
Log in

A Gibbs Approach to Chargaff’s Second Parity Rule

  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

Chargaff’s second parity rule (CSPR) asserts that the frequencies of short polynucleotide chains are the same as those of the complementary reversed chains. Up to now, this hypothesis has only been observed empirically and there is currently no explanation for its presence in DNA strands. Here we argue that CSPR is a probabilistic consequence of the reverse complementarity between paired strands, because the Gibbs distribution associated with the chemical energy between the bonds satisfies CSPR. We develop a statistical test to study the validity of CSPR under the Gibbsian assumption and we apply it to a large set of bacterial genomes taken from the GenBank repository.

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. Albrecht-Buehler, G.: Asymptotically increasing compliance of genomes with Chargaff’s second parity rules through inversions and inverted transpositions. Proc. Natl. Acad. Sci. USA 103(47), 17828–17833 (2006)

    Article  ADS  Google Scholar 

  2. Bell, S.J., Forsdyke, R.: Deviations from Chargaff’s second parity rule correlate with direction of transcription. J. Theor. Biol. 197, 63–76 (1999)

    Article  Google Scholar 

  3. Bowen, R.: Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms. Lecture Notes in Mathematics, vol. 470, revised edn. Springer, Berlin (2008). With a preface by David Ruelle, Edited by Jean-René Chazottes

    Google Scholar 

  4. Chargaff, E.: Chemical specificity of nucleic acids and mechanism of their enzymatic degradation. Experientia 6(6), 201–209 (1950)

    Article  Google Scholar 

  5. Coelho, Z., Parry, W.: Central limit asymptotics for shifts of finite type. Isr. J. Math. 69(2), 235–249 (1990). doi:10.1007/BF02937307. http://www.springerlink.com/content/g415tk6310717655/

    Article  MATH  MathSciNet  Google Scholar 

  6. Forsdyke, R., Bell, S.J.: Purine loading, stem-loops and Chargaff’s second parity rule: a discussion of the application of elementary principles to early chemical observations. Appl. Bioinformatics 3(3), 3–8 (2004)

    Article  Google Scholar 

  7. Hart, A., Martínez, S.: Statistical testing of Chargaff’s second parity rule in bacterial genome sequences. Stoch. Models 27(2), 1–46 (2011)

    Article  MathSciNet  Google Scholar 

  8. Kong, S.-G., Fan, W.-L., Chen, H.-D., Hsu, Z.-T., Zhou, N., Zheng, B., Lee, H.-C.: Inverse symmetry in complete genomes and whole-genome inverse duplication. PLoS ONE 4(11), e7553 (2009)

    Article  Google Scholar 

  9. Lobry, J.: Properties of a general model of DNA evolution under no-strand-bias conditions. J. Mol. Evol. 40(3), 326–330 (1995)

    Article  Google Scholar 

  10. Mitchell, D., Bridge, R.: A test of Chargaff’s second rule. Biochem. Biophys. Res. Commun. 340(1), 90–94 (2006)

    Article  Google Scholar 

  11. Powdel, B., Satapathy, S., Kumar, A., Jha, P., Buragohain, A., Borah, M., Ray, S.: A study in entire chromosomes of violation of the intra-strand parity of complementary nucleotides. DNA Res. 16, 325–343 (2009)

    Article  Google Scholar 

  12. Prabhu, V.: Symmetry observations in long nucleotide sequences. Nucleic Acids Res. 21(12), 2797–2800 (1993)

    Article  Google Scholar 

  13. Rudner, R., Karkas, J., Chargaff, E.: Separation of B. subtilis DNA into complementary strands. III. Direct analysis. Proc. Natl. Acad. Sci. USA 60, 921–922 (1968)

    Article  ADS  Google Scholar 

  14. Sueoka, N.: Intrastrand parity rules of DNA base composition and usage biases of synonymous codons. J. Mol. Evol. 40(3), 18–325 (1995)

    Article  Google Scholar 

  15. Zhang, S., Huang, Y.: Limited contribution of stem-loop potential to symmetry of single-stranded genomic DNA. Bioinformatics 26(4), 478–485 (2010)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Andrew Hart.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hart, A., Martínez, S. & Olmos, F. A Gibbs Approach to Chargaff’s Second Parity Rule. J Stat Phys 146, 408–422 (2012). https://doi.org/10.1007/s10955-011-0377-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10955-011-0377-6

Keywords

Navigation