License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.WABI.2021.18
URN: urn:nbn:de:0030-drops-143711
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2021/14371/
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Zeira, Ron ; Mon, Geoffrey ; Raphael, Benjamin J.

Genome Halving and Aliquoting Under the Copy Number Distance

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LIPIcs-WABI-2021-18.pdf (2 MB)

Abstract

Large-scale genome rearrangements occur frequently in species evolution and cancer evolution. While the computation of evolutionary distances is tractable for balanced rearrangements, such as inversions and translocations, computing distances involving duplications and deletions is much more difficult. In the recently proposed Copy Number Distance (CND) model, a genome is represented as a Copy Number Profile (CNP), a sequence of integers, and the CND between two CNPs is the length of a shortest sequence of deletions and amplifications of contiguous segments that transforms one CNP into the other. In addition to these segmental events, genomes also undergo global events such as Whole Genome Duplication (WGD) or polyploidization that multiply the entire genome content. These global events are common and important in both species and cancer evolution. In this paper, we formulate the genome halving problem of finding a closest preduplication CNP that has undergone a WGD and evolved into a given CNP under the CND model. We also formulate the analogous genome aliquoting problem of finding the closest prepolyploidzation CNP under the CND distance. We give a linear time algorithm for the halving distance and a quadratic time dynamic programming algorithm for the aliquoting distance. We implement these algorithms and show that they produce reasonable solutions on simulated CNPs.

BibTeX - Entry

@InProceedings{zeira_et_al:LIPIcs.WABI.2021.18,
  author =	{Zeira, Ron and Mon, Geoffrey and Raphael, Benjamin J.},
  title =	{{Genome Halving and Aliquoting Under the Copy Number Distance}},
  booktitle =	{21st International Workshop on Algorithms in Bioinformatics (WABI 2021)},
  pages =	{18:1--18:25},
  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/opus/volltexte/2021/14371},
  URN =		{urn:nbn:de:0030-drops-143711},
  doi =		{10.4230/LIPIcs.WABI.2021.18},
  annote =	{Keywords: Genome rearrangements, Copy number distance, Whole genome duplication, polyploidization, genome halving distance, genome aliquoting distance}
}

Keywords: Genome rearrangements, Copy number distance, Whole genome duplication, polyploidization, genome halving distance, genome aliquoting distance
Collection: 21st International Workshop on Algorithms in Bioinformatics (WABI 2021)
Issue Date: 2021
Date of publication: 22.07.2021

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