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In the evolution of a genome, the gene sequence is sometimes rearranged, for example by transposition of two adjacent gene blocks. In biocombinatorics, one tries to reconstruct these rearrangement incidents from the resulting permutation.…

Combinatorics · Mathematics 2007-05-23 Henrik Eriksson , Kimmo Eriksson , Jonas Sjostrand

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…

Populations and Evolution · Quantitative Biology 2023-01-12 Joshua Stevenson , Venta Terauds , Jeremy Sumner

One of the main challenges in Computational Biology is to find the evolutionary distance between two organisms. In the field of comparative genomics, one way to estimate such distance is to find a minimum cost sequence of rearrangements…

Computational Complexity · Computer Science 2022-02-18 Alexsandro Oliveira Alexandrino , Andre Rodrigues Oliveira , Ulisses Dias , Zanoni Dias

A Genome rearrangement problem studies large-scale mutations on a set of DNAs in living organisms. Various rearrangements like reversals, transpositions, translocations, fissions, fusions, and combinations and different variations have been…

Discrete Mathematics · Computer Science 2022-05-11 Pramod P Nair

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…

Populations and Evolution · Quantitative Biology 2017-12-05 Venta Terauds , Jeremy Sumner

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…

Computational Complexity · Computer Science 2023-11-30 Luís Cunha , Ignasi Sau , Uéverton Souza

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…

Data Structures and Algorithms · Computer Science 2014-10-22 Antoine Thomas

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.…

Genomics · Quantitative Biology 2011-03-30 Shuai Jiang , Max A. Alekseyev

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…

Genomics · Quantitative Biology 2012-07-31 Birte Kehr , Knut Reinert , Aaron E. Darling

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…

Data Structures and Algorithms · Computer Science 2026-01-01 Gabriel Siqueira , Alexsandro Oliveira Alexandrino , Zanoni Dias

Motivation: Genome rearrangement plays an important role in evolutionary biology and has profound impacts on phenotype in organisms ranging from microbes to humans. The mechanisms for genome rearrangement events remain unclear. Lots of…

Genomics · Quantitative Biology 2016-08-09 Dan Wang , Shuaicheng Li , Fei Guo , Lusheng Wang

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…

Other Quantitative Biology · Quantitative Biology 2016-10-04 Sangeeta Bhatia , Pedro Feijão , Andrew R. Francis

Under constant selection, each trait has a fixed fitness, and small mutation rates allow populations to efficiently exploit the optimal trait. Therefore it is reasonable to expect mutation rates will evolve downwards. However, we find this…

Populations and Evolution · Quantitative Biology 2022-08-23 Brian Mintz , Feng Fu

When mutation rates are low, natural selection remains effective, and increasing the mutation rate can give rise to an increase in adaptation rate. When mutation rates are high to begin with, however, increasing the mutation rate may have a…

Populations and Evolution · Quantitative Biology 2012-11-06 Philip Gerrish , Alexandre Colato , Paul Sniegowski

We present a method to quantify spatial fluctuations of the substitution rate on different length scales throughout genomes of eukaryotes. The fluctuations on large length scales are found to be predominantly a consequence of a…

Genomics · Quantitative Biology 2009-11-10 H. H. von Grünberg , M. Kollmann

Some genes can change their relative locations in a genome. Thus for different individuals of the same species, the orders of genes might be different. Such jumping genes are called transposons. A practical problem is to determine…

Genomics · Quantitative Biology 2022-09-02 Yue Wang

In evolutionary dynamics, the probability that a mutation spreads through the whole population, having arisen in a single individual, is known as the fixation probability. In general, it is not possible to find the fixation probability…

Populations and Evolution · Quantitative Biology 2010-10-26 Valmir C. Barbosa , Raul Donangelo , Sergio R. Souza

Gene expression programming is an evolutionary optimization algorithm with the potential to generate interpretable and easily implementable equations for regression problems. Despite knowledge gained from previous optimizations being…

Neural and Evolutionary Computing · Computer Science 2025-02-05 Maximilian Reissmann , Yuan Fang , Andrew S. H. Ooi , Richard D. Sandberg

Chromosomal rearrangements, which shuffle DNA throughout the genome, are an important source of divergence across taxa. Using a paired-end read approach with Illumina sequence data for archaic humans, I identify changes in genome structure…

Genomics · Quantitative Biology 2015-10-07 Rebekah L. Rogers

Computing reaction rates in biomolecular systems is a common goal of molecular dynamics simulations. The reactions considered often involve conformational changes in the molecule, either changes in the structure of a protein or the relative…

Dynamical Systems · Mathematics 2013-07-03 Eric Darve , Ernest Ryu
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