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Fast and Accurate Distance Computation from Unaligned Genomes Fabian Kltzl & Bernhard Haubold GCB 2018 MPI for Evolutionary Biology, Pln mpg.png ACCGGTGTGCT ACCGGTGTGCT >D AACGATGCG-T >C CACGTT--GGT >B AACGTTGTGCA


  1. Fast and Accurate Distance Computation from Unaligned Genomes Fabian Klötzl & Bernhard Haubold GCB 2018 MPI for Evolutionary Biology, Plön

  2. mpg.png ACCGGTGTGCT ACCGGTGTGCT >D AACGATGCG-T >C CACGTT--GGT >B AACGTTGTGCA >A Alignment-Based Phylogeny Reconstruction 1 >D Phylogeny Unaligned Sequences AACGATGCGT Alignment >A AACGTTGTGCA >B CACGTTGGT >C ⇒ ⇒ A B C D

  3. mpg.png >C 0 0 0 Alignment-Free Phylogeny Reconstruction 0 ACCGGTGTGCT >D AACGATGCGT 2 CACGTTGGT Matrix AACGTTGTGCA >A Unaligned Sequences >B Distance Phylogeny   0 . 1 0 . 25 0 . 3   ⇒ ⇒ 0 . 1 0 . 3 0 . 3     0 . 25 0 . 3 0 . 05   A B C D 0 . 3 0 . 3 0 . 05

  4. mpg.png Phylonium 1. Use one sequence as the common coordinate system. 2. Align all other sequences against this reference. 3. For all pairs inspect the overlapping regions. 4. Estimate evolutionary distance from substitution rate. Reference Q 1 Q 1 Q 2 Q 2 3

  5. mpg.png Phylonium 1. Use one sequence as the common coordinate system. 2. Align all other sequences against this reference. 3. For all pairs inspect the overlapping regions. 4. Estimate evolutionary distance from substitution rate. Reference Q 1 Q 1 Q 2 Q 2 3

  6. mpg.png Phylonium 1. Use one sequence as the common coordinate system. 2. Align all other sequences against this reference. 3. For all pairs inspect the overlapping regions. 4. Estimate evolutionary distance from substitution rate. Reference Q 1 Q 1 Q 2 Q 2 3

  7. mpg.png Phylonium 1. Use one sequence as the common coordinate system. 2. Align all other sequences against this reference. 3. For all pairs inspect the overlapping regions. 4. Estimate evolutionary distance from substitution rate. Reference Q 1 Q 1 Q 2 Q 2 3

  8. mpg.png Phylonium 1. Use one sequence as the common coordinate system. 2. Align all other sequences against this reference. 3. For all pairs inspect the overlapping regions. 4. Estimate evolutionary distance from substitution rate. Reference Q 1 Q 1 Q 2 Q 2 3

  9. mpg.png Quality 10 0 Simulated Distance Estimated Distance Accuracy Phylonium 4 10 − 1 10 − 2 10 − 3 10 − 4 10 − 3 10 − 2 10 − 1

  10. mpg.png Quality 10 0 Simulated Distance Estimated Distance Accuracy Phylonium Mash 4 10 − 1 10 − 2 10 − 3 10 − 4 10 − 3 10 − 2 10 − 1

  11. mpg.png Phylogenetic Quality — Robinson-Foulds Distance A B C D Robinson-Foulds Distance The RF distance measures the number of partitions in the fjrst tree, but not in the other. Thus, it only considers the topology. For above trees the RF distance is 2. 5 A B C D

  12. mpg.png 0 i 4 Compute the average relative dissimilarity of the entries. Matrix Dissimilarity 0 0 Phylogenetic Quality — Relative Matrix Dissimilarity 0 6 0 0     0 . 1 0 . 2 0 . 11 0 . 22 A = B =     0 . 1 0 . 3 0 . 11 0 . 33     0 . 2 0 . 3 0 . 22 0 . 33 | a ij − b ij | � � d ( A , B ) = n ( n − 1 ) a ij + b ij j < i For above examples, d ( A , B ) = 0 . 095 approximately 10 % .

  13. mpg.png 109 E. coli Genomes Mugsy: 2 days (alignment-based) Phylonium: 23 s RF distance: 130 Mash: 20 s RF distance: 161 relative dissimilarity: 84 7 relative dissimilarity: 20 %

  14. mpg.png 109 E. coli Genomes Mugsy: 2 days (alignment-based) Phylonium: 23 s RF distance: 130 Mash: 20 s RF distance: 161 7 relative dissimilarity: 20 % relative dissimilarity: 84 %

  15. mpg.png 2681 E. coli from Ensembl Genomes Phylonium: 378 s Mash: 49 s 8

  16. mpg.png Summary • Goal: Phylogeny reconstruction from whole genomes. • Alignment-free distance methods are fast and accurate. • Work best on data from pathogen outbreaks. • Scale up to massive data sets. • Paper on Phylonium in prep. kloetzl@evolbio.mpg.de 9

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