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Estimating the contribution of sequence context to nucleotide substitution rate heterogeneity Helen Lindsay and Gavin A. Huttley The Gamma Model Yang (1993) used a gamma distribution to model rate variation in - and - globin genes


  1. Estimating the contribution of sequence context to nucleotide substitution rate heterogeneity Helen Lindsay and Gavin A. Huttley

  2. The Gamma Model • Yang (1993) used a gamma distribution to model rate variation in α - and β - globin genes • The gamma distribution is often approximated by four equi-probable bins

  3. Gamma rate variation

  4. Improvements on the Gamma model • Allow sites to change rates • Allow clustering of rates • Consider other/multiple rate distributions

  5. What causes substitution rate variation?

  6. What causes substitution rate variation? Natural selection

  7. What causes substitution rate variation? Differential repair Natural selection

  8. Nucleotide properties What causes substitution rate variation? Differential repair Natural selection

  9. AG CG TG (slow) (fast)

  10. Data • 470 alignments, each 50 000 nucleotides long, of introns from human, chimpanzee and macaque one- to-one orthologs. • Sampled from Ensembl version 49.

  11. The baseline model

  12. The CpG model

  13. The Gamma Model

  14. Gamma vs Dinucleotide models

  15. Gamma vs Dinucleotide models

  16. Gamma vs Dinucleotide models

  17. 51.07 186.05 40.77 175.52

  18. Accounting for CpG substitutions decreases rate variation

  19. G+C% • Independent sites • Reversible Alignment position (nucleotides) • Compositional variance GA GG rate G+C%(alignment)

  20. Advantages of dinucleotide models • Less likelihood computation • Equivalently parameter-rich • No assumed distribution of rate variation • Can incorporate known mutation biases, for example deamination of methylated cytosine. • Smaller alphabet than amino acids

  21. Acknowledgements Australian National University • Gavin Huttley • Hua Ying University of Singapore • Von Bing Yap

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