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Documents authored by Rutecka, Natalia

Document
DOI: 10.4230/LIPIcs.WABI.2023.6
Simultaneous Reconstruction of Duplication Episodes and Gene-Species Mappings

Authors: Paweł Górecki, Natalia Rutecka, Agnieszka Mykowiecka, and Jarosław Paszek

Published in: LIPIcs, Volume 273, 23rd International Workshop on Algorithms in Bioinformatics (WABI 2023)

Abstract
We present a novel problem, called MetaEC, which aims to infer gene-species assignments in a collection of gene trees with missing labels by minimizing the size of duplication episode clustering (EC). This problem is particularly relevant in metagenomics, where incomplete data often poses a challenge in the accurate reconstruction of gene histories. To solve MetaEC, we propose a polynomial time dynamic programming (DP) formulation that verifies the existence of a set of duplication episodes from a predefined set of episode candidates. We then demonstrate how to use DP to design an algorithm that solves MetaEC. Although the algorithm is exponential in the worst case, we introduce a heuristic modification of the algorithm that provides a solution with the knowledge that it is exact. To evaluate our method, we perform two computational experiments on simulated and empirical data containing whole genome duplication events, showing that our algorithm is able to accurately infer the corresponding events.
Cite as

Paweł Górecki, Natalia Rutecka, Agnieszka Mykowiecka, and Jarosław Paszek. Simultaneous Reconstruction of Duplication Episodes and Gene-Species Mappings. In 23rd International Workshop on Algorithms in Bioinformatics (WABI 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 273, pp. 6:1-6:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)

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@InProceedings{gorecki_et_al:LIPIcs.WABI.2023.6,
  author =	{G\'{o}recki, Pawe{\l} and Rutecka, Natalia and Mykowiecka, Agnieszka and Paszek, Jaros{\l}aw},
  title =	{{Simultaneous Reconstruction of Duplication Episodes and Gene-Species Mappings}},
  booktitle =	{23rd International Workshop on Algorithms in Bioinformatics (WABI 2023)},
  pages =	{6:1--6:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-294-5},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{273},
  editor =	{Belazzougui, Djamal and Ouangraoua, A\"{i}da},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.WABI.2023.6},
  URN =		{urn:nbn:de:0030-drops-186329},
  doi =		{10.4230/LIPIcs.WABI.2023.6},
  annote =	{Keywords: Genomic Duplication, Gene-Species Mapping, Duplication Episode, Gene Tree, Species Tree}
}
Document
DOI: 10.4230/LIPIcs.WABI.2021.17
Conflict Resolution Algorithms for Deep Coalescence Phylogenetic Networks

Authors: Marcin Wawerka, Dawid Dąbkowski, Natalia Rutecka, Agnieszka Mykowiecka, and Paweł Górecki

Published in: LIPIcs, Volume 201, 21st International Workshop on Algorithms in Bioinformatics (WABI 2021)

Abstract
We address the problem of inferring an optimal tree displayed by a network, given a gene tree G and a tree-child network N, under the deep coalescence cost. We propose an O(|G||N|)-time dynamic programming algorithm (DP) to compute a lower bound of the optimal displayed tree cost, where |G| and |N| are the sizes of G and N, respectively. This algorithm has the ability to state whether the cost is exact or is a lower bound. In addition, our algorithm provides a set of reticulation edges that correspond to the obtained cost. If the cost is exact, the set induces an optimal displayed tree that yields the cost. If the cost is a lower bound, the set contains pairs of conflicting edges, that is, edges sharing a reticulation node. Next, we show a conflict resolution algorithm that requires 2^{r+1}-1 invocations of DP in the worst case, where r is a number of reticulations. We propose a similar O(2^k|G||N|)-time algorithm for level-k networks and a branch and bound solution to compute lower and upper bounds of optimal costs. We also show how our algorithms can be extended to a broader class of phylogenetic networks. Despite their exponential complexity in the worst case, our solutions perform significantly well on empirical and simulated datasets, thanks to the strategy of resolving internal dissimilarities between gene trees and networks. In particular, experiments on simulated data indicate that the runtime of our solution is Θ(2^{0.543 k}|G||N|) on average. Therefore, our solution is an efficient alternative to enumeration strategies commonly proposed in the literature and enables analyses of complex networks with dozens of reticulations.
Cite as

Marcin Wawerka, Dawid Dąbkowski, Natalia Rutecka, Agnieszka Mykowiecka, and Paweł Górecki. Conflict Resolution Algorithms for Deep Coalescence Phylogenetic Networks. In 21st International Workshop on Algorithms in Bioinformatics (WABI 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 201, pp. 17:1-17:21, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

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@InProceedings{wawerka_et_al:LIPIcs.WABI.2021.17,
  author =	{Wawerka, Marcin and D\k{a}bkowski, Dawid and Rutecka, Natalia and Mykowiecka, Agnieszka and G\'{o}recki, Pawe{\l}},
  title =	{{Conflict Resolution Algorithms for Deep Coalescence Phylogenetic Networks}},
  booktitle =	{21st International Workshop on Algorithms in Bioinformatics (WABI 2021)},
  pages =	{17:1--17:21},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-200-6},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{201},
  editor =	{Carbone, Alessandra and El-Kebir, Mohammed},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.WABI.2021.17},
  URN =		{urn:nbn:de:0030-drops-143708},
  doi =		{10.4230/LIPIcs.WABI.2021.17},
  annote =	{Keywords: Phylogenetic Network, Gene Tree, Species Tree, Deep Coalescence, Reticulation, Optimal Displayed Tree}
}
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