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We present a unified framework for modelling genomes and their rearrangements in a genome algebra, as elements that simultaneously incorporate all physical symmetries. Building on previous work utilising the group algebra of the symmetric…

种群与进化 · 定量生物学 2022-05-17 Venta Terauds , Jeremy Sumner

We investigate the symmetry of circular genome rearrangement models, discuss the implementation of a new representation-theoretic method of calculating evolutionary distances between circular genomes, and give the results of some initial…

种群与进化 · 定量生物学 2017-12-05 Venta Terauds , Jeremy Sumner

Early literature on genome rearrangement modelling views the problem of computing evolutionary distances as an inherently combinatorial one. In particular, attention was given to estimating distances using the minimum number of events…

种群与进化 · 定量生物学 2023-01-12 Joshua Stevenson , Venta Terauds , Jeremy Sumner

Modellers of large scale genome rearrangement events, in which segments of DNA are inverted, moved, swapped, or even inserted or deleted, have found a natural syntax in the language of permutations. Despite this, there has been a wide range…

其他定量生物学 · 定量生物学 2016-10-04 Sangeeta Bhatia , Pedro Feijão , Andrew R. Francis

Understanding the dynamics of genome rearrangements is a major issue of phylogenetics. Phylogenetics is the study of species evolution. A major goal of the field is to establish evolutionary relationships within groups of species, in order…

数据结构与算法 · 计算机科学 2014-10-22 Antoine Thomas

The ability to estimate the evolutionary distance between extant genomes plays a crucial role in many phylogenomic studies. Often such estimation is based on the parsimony assumption, implying that the distance between two genomes can be…

基因组学 · 定量生物学 2017-05-29 Nikita Alexeev , Max A. Alekseyev

Genome rearrangement has been an active area of research in computational comparative genomics for the last three decades. While initially mostly an interesting algorithmic endeavor, now the practical application by applying rearrangement…

计算复杂性 · 计算机科学 2025-07-23 Luís Cunha , Thiago Lopes , Uéverton Souza , Leonard Bohnenkämper , Marília D. V. Braga , Jens Stoye

Genome rearrangements are events where large blocks of DNA exchange places during evolution. The analysis of these events is a promising tool for understanding evolutionary genomics, providing data for phylogenetic reconstruction based on…

计算复杂性 · 计算机科学 2023-11-30 Luís Cunha , Ignasi Sau , Uéverton Souza

Considering a pair of genomes, the goal of rearrangement distance problems is to estimate how distant these genomes are from each other based on genome rearrangements. Seminal works in genome rearrangements assumed that both genomes being…

数据结构与算法 · 计算机科学 2024-05-21 Alexsandro Oliveira Alexandrino

The computation of genomic distances has been a very active field of computational comparative genomics over the last 25 years. Substantial results include the polynomial-time computability of the inversion distance by Hannenhalli and…

数据结构与算法 · 计算机科学 2021-08-11 Leonard Bohnenkämper , Marília D. V. Braga , Daniel Doerr , Jens Stoye

Multiple genome alignment remains a challenging problem. Effects of recombination including rearrangement, segmental duplication, gain, and loss can create a mosaic pattern of homology even among closely related organisms. We describe a…

基因组学 · 定量生物学 2009-11-02 Aaron E. Darling , Bob Mau , Nicole T. Perna

Inversions, also sometimes called reversals, are a major contributor to variation among bacterial genomes, with studies suggesting that those involving small numbers of regions are more likely than larger inversions. Deletions may arise in…

环与代数 · 数学 2023-07-11 Chad Clark , Julius Jonušas , James D. Mitchell , Andrew Francis

Genomic distance between two genomes, i.e., the smallest number of genome rearrangements required to transform one genome into the other, is often used as a measure of evolutionary closeness of the genomes in comparative genomics studies.…

基因组学 · 定量生物学 2011-03-30 Shuai Jiang , Max A. Alekseyev

Genome rearrangement distances are an established method in genome comparison. Works in this area may include various rearrangement operations representing large-scale mutations, gene orientation information, the number of nucleotides in…

数据结构与算法 · 计算机科学 2026-01-01 Gabriel Siqueira , Alexsandro Oliveira Alexandrino , Zanoni Dias

This paper provides a short and transparent solution for the covering cost of white-grey trees which play a crucial role in the algorithm of Bergeron {\it et al.}\ to compute the rearrangement distance between two multichromosomal genomes…

离散数学 · 计算机科学 2021-01-01 Péter L. Erdős , Lajos Soukup , Jens Stoye

Modelling the substitution of nucleotides along a phylogenetic tree is usually done by a hidden Markov process. This allows to define a distribution of characters at the leaves of the trees and one might be able to obtain polynomial…

种群与进化 · 定量生物学 2020-10-12 Marta Casanellas , Jesús Fernández-Sánchez , Marina Garrote-López

In the context of the genome rearrangement problem, we analyze two well known models, namely the block transposition and the prefix block transposition models, by exploiting the connection with the notion of permutation pattern. More…

组合数学 · 数学 2018-08-09 Giulio Cerbai , Luca Ferrari

A classical problem in comparative genomics is to compute the rearrangement distance, that is the minimum number of large-scale rearrangements required to transform a given genome into another given genome. While the most traditional…

数据结构与算法 · 计算机科学 2020-07-16 Diego P. Rubert , Fábio V. Martinez , Marília D. V. Braga

During the course of evolution, an organism's genome can undergo changes that affect the large-scale structure of the genome. These changes include gene gain, loss, duplication, chromosome fusion, fission, and rearrangement. When gene gain…

基因组学 · 定量生物学 2012-07-31 Birte Kehr , Knut Reinert , Aaron E. Darling

Accurate estimation of evolutionary distances between taxa is important for many phylogenetic reconstruction methods. In the case of bacteria, distances can be estimated using a range of different evolutionary models, from single nucleotide…

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