Skip to main content
Biophysical Journal logoLink to Biophysical Journal
. 1993 Dec;65(6):2673–2679. doi: 10.1016/S0006-3495(93)81290-6

Fractal landscapes and molecular evolution: modeling the myosin heavy chain gene family.

S V Buldyrev 1, A L Goldberger 1, S Havlin 1, C K Peng 1, H E Stanley 1, M H Stanley 1, M Simons 1
PMCID: PMC1226007  PMID: 8312501

Abstract

Mapping nucleotide sequences onto a "DNA walk" produces a novel representation of DNA that can then be studied quantitatively using techniques derived from fractal landscape analysis. We used this method to analyze 11 complete genomic and cDNA myosin heavy chain (MHC) sequences belonging to 8 different species. Our analysis suggests an increase in fractal complexity for MHC genes with evolution with vertebrate > invertebrate > yeast. The increase in complexity is measured by the presence of long-range power-law correlations, which are quantified by the scaling exponent alpha. We develop a simple iterative model, based on known properties of polymeric sequences, that generates long-range nucleotide correlations from an initially noncorrelated coding region. This new model-as well as the DNA walk analysis-both support the intron-late theory of gene evolution.

Full text

PDF
2673

Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Beckmann J. S., Trifonov E. N. Splice junctions follow a 205-base ladder. Proc Natl Acad Sci U S A. 1991 Mar 15;88(6):2380–2383. doi: 10.1073/pnas.88.6.2380. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Buldyrev S. V., Goldberger A. L., Havlin S., Peng C-K, Simons M., Stanley H. E. Generalized Lévy-walk model for DNA nucleotide sequences. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1993 Jun;47(6):4514–4523. doi: 10.1103/physreve.47.4514. [DOI] [PubMed] [Google Scholar]
  3. Buldyrev SV, Goldberger AL, Havlin S, Peng C, Simons M, Sciortino F, Stanley HE. Long-range fractal correlations in DNA. Phys Rev Lett. 1993 Sep 13;71(11):1776–1776. doi: 10.1103/PhysRevLett.71.1776. [DOI] [PubMed] [Google Scholar]
  4. Fickett J. W. Recognition of protein coding regions in DNA sequences. Nucleic Acids Res. 1982 Sep 11;10(17):5303–5318. doi: 10.1093/nar/10.17.5303. [DOI] [PMC free article] [PubMed] [Google Scholar]
  5. Gilbert W. Why genes in pieces? Nature. 1978 Feb 9;271(5645):501–501. doi: 10.1038/271501a0. [DOI] [PubMed] [Google Scholar]
  6. Hagerman P. J. Sequence-directed curvature of DNA. Annu Rev Biochem. 1990;59:755–781. doi: 10.1146/annurev.bi.59.070190.003543. [DOI] [PubMed] [Google Scholar]
  7. Hwu H. R., Roberts J. W., Davidson E. H., Britten R. J. Insertion and/or deletion of many repeated DNA sequences in human and higher ape evolution. Proc Natl Acad Sci U S A. 1986 Jun;83(11):3875–3879. doi: 10.1073/pnas.83.11.3875. [DOI] [PMC free article] [PubMed] [Google Scholar]
  8. Jaworski C. J., Piatigorsky J. A pseudo-exon in the functional human alpha A-crystallin gene. Nature. 1989 Feb 23;337(6209):752–754. doi: 10.1038/337752a0. [DOI] [PubMed] [Google Scholar]
  9. Joyce G. F. RNA evolution and the origins of life. Nature. 1989 Mar 16;338(6212):217–224. doi: 10.1038/338217a0. [DOI] [PubMed] [Google Scholar]
  10. Katsuragawa Y., Yanagisawa M., Inoue A., Masaki T. Two distinct nonmuscle myosin-heavy-chain mRNAs are differentially expressed in various chicken tissues. Identification of a novel gene family of vertebrate non-sarcomeric myosin heavy chains. Eur J Biochem. 1989 Oct 1;184(3):611–616. doi: 10.1111/j.1432-1033.1989.tb15057.x. [DOI] [PubMed] [Google Scholar]
  11. Maddox J. Long-range correlations within DNA. Nature. 1992 Jul 9;358(6382):103–103. doi: 10.1038/358103a0. [DOI] [PubMed] [Google Scholar]
  12. Munson P. J., Taylor R. C., Michaels G. S. DNA correlations. Nature. 1992 Dec 17;360(6405):636–636. doi: 10.1038/360636a0. [DOI] [PubMed] [Google Scholar]
  13. Nee S. Uncorrelated DNA walks. Nature. 1992 Jun 11;357(6378):450–450. doi: 10.1038/357450a0. [DOI] [PubMed] [Google Scholar]
  14. Peng C-K, Buldyrev S. V., Goldberger A. L., Havlin S., Simons M., Stanley H. E. Finite-size effects on long-range correlations: implications for analyzing DNA sequences. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1993 May;47(5):3730–3733. doi: 10.1103/physreve.47.3730. [DOI] [PubMed] [Google Scholar]
  15. Peng C. K., Buldyrev S. V., Goldberger A. L., Havlin S., Sciortino F., Simons M., Stanley H. E. Long-range correlations in nucleotide sequences. Nature. 1992 Mar 12;356(6365):168–170. doi: 10.1038/356168a0. [DOI] [PubMed] [Google Scholar]
  16. Voss RF. Evolution of long-range fractal correlations and 1/f noise in DNA base sequences. Phys Rev Lett. 1992 Jun 22;68(25):3805–3808. doi: 10.1103/PhysRevLett.68.3805. [DOI] [PubMed] [Google Scholar]

Articles from Biophysical Journal are provided here courtesy of The Biophysical Society

RESOURCES