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We consider a Moran model with recombination in a haploid population of size $N$. At each birth event, with probability $1-\rho_N R$ the offspring copies one parent's chromosome, and with probability $\rho_N R$ she inherits a chromosome…

Probability · Mathematics 2022-01-19 Amaury Lambert , Verónica Miró Pina , Emmanuel Schertzer

We consider a population of N individuals, whose dynamics through time is represented by a biparental Moran model with two types: an advantaged type and a disadvantaged type. The advantage is due to a mutation, transmitted in a Mendelian…

Probability · Mathematics 2024-05-15 Camille Coron , Yves Le Jan

This contribution is concerned with mathematical models for the dynamics of the genetic composition of populations evolving under recombination. Recombination is the genetic mechanism by which two parent individuals create the mixed type of…

Populations and Evolution · Quantitative Biology 2011-01-12 Ellen Baake

This article deals with the emergence of a specific mating preference pattern called homogamy in a population. Individuals are characterized by their genotype at two haploid loci, and the population dynamics is modelled by a non-linear…

Probability · Mathematics 2019-09-25 Coron Camille , Costa Manon , Laroche Fabien , Leman Hélène , Smadi Charline

In sexual population, recombination reshuffles genetic variation and produces novel combinations of existing alleles, while selection amplifies the fittest genotypes in the population. If recombination is more rapid than selection,…

Populations and Evolution · Quantitative Biology 2015-06-05 Richard A. Neher , Marija Vucelja , Marc Mézard , Boris I. Shraiman

We propose a class of evolutionary models that involves an arbitrary exchangeable process as the breeding process and different selection schemes. In those models, a new genome is born according to the breeding process, and then a genome is…

Neural and Evolutionary Computing · Computer Science 2020-08-25 Jüri Lember , Chris Watkins

Eukaryote genomes contain excessively introns, inter-genic and other non-genic sequences that appear to have no vital functional role or phenotype manifestation. Their existence, a long-standing puzzle, is viewed from the principle of…

Populations and Evolution · Quantitative Biology 2008-07-08 Salla Jaakkola , Sedeer El-Showk , Arto Annila

Under random mating, a progeny's alleles are independently sampled from the parental gene pools. Here is a new proof which avoids the usual algebraic complexity, based on a restated Mendel's First Law. Another simplified proof along the old…

Populations and Evolution · Quantitative Biology 2015-12-17 Von Bing Yap

We propose a Markov chain approach for the evolution of a genealogical line of genomes. Our idealized genome has $N$ sites and each site can be in state $0$ or $1$. At each time step we pick a site at random. If the site is in state $0$ we…

Probability · Mathematics 2020-08-11 Rinaldo B. Schinazi

Biological genomes are divided into coding and non-coding regions. Introns are non-coding parts within genes, while the remaining non-coding parts are intergenic sequences. To study the evolutionary significance of recombination inside…

Populations and Evolution · Quantitative Biology 2009-11-11 Stanislaw Cebrat , Andrzej Pekalski , Fabian Scharf

The evolution of complex cellular life involved two major transitions: the encapsulation of self-replicating genetic entities into cellular units and the aggregation of individual genes into a collectively replicating genome. In this paper,…

Populations and Evolution · Quantitative Biology 2021-09-21 Daniel B. Cooney , Fernando W. Rossine , Dylan H. Morris , Simon A. Levin

In the past decade, advances in genome sequencing have allowed researchers to uncover the history of hybridization in diverse groups of species, including our own. Although the field has made impressive progress in documenting the extent of…

Populations and Evolution · Quantitative Biology 2021-03-23 Benjamin M Moran , Cheyenne Payne , Quinn Langdon , Daniel L Powell , Yaniv Brandvain , Molly Schumer

Conventional population genetics considers the evolution of a limited number of genotypes corresponding to phenotypes with different fitness. As model phenotypes, in particular RNA secondary structure, have become computationally tractable,…

Populations and Evolution · Quantitative Biology 2008-04-22 Gergely J. Szollosi , Imre Derenyi

This paper examines the effect of mimicking discontinuous heredity caused by carrying more than one chromosome in some living organisms cells in Evolutionary Multi-Objective Optimization algorithms. In this representation, the phenotype may…

Neural and Evolutionary Computing · Computer Science 2013-03-05 Wesam Elshamy , Hassan M Emara , Ahmed Bahgat

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

Biochemical and regulatory interactions central to biological networks are expected to cause extensive genetic interactions or epistasis affecting the heritability of complex traits and the distribution of genotypes in populations. However,…

Populations and Evolution · Quantitative Biology 2009-12-15 Richard A. Neher , Boris I. Shraiman

We describe the simulation method of modelling the population evolution using Monte Carlo based on the Penna model. Individuals in the populations are represented by their diploid genomes. Genes expressed after the minimum reproduction age…

Genomics · Quantitative Biology 2009-01-13 Agnieszka Laszkiewicz , Przemyslaw Biecek , Katarzyna Bonkowska , Stanislaw Cebrat

Species complexes are groups of closely related populations exchanging genes through dispersal. We study the dynamics of the structure of species complexes in a class of metapopulation models where demes can exchange genetic material…

Populations and Evolution · Quantitative Biology 2026-03-26 Amaury Lambert , Emmanuel Schertzer , Yannic Wenzel

A mechanism of sympatric speciation is presented based on the interaction-induced developmental plasticity of phenotypes. First, phenotypes of individuals with identical genotypes split into a few groups, according to instability in the…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Kunihiko Kaneko

Large populations may contain numerous simultaneously segregating polymorphisms subject to natural selection. Since selection acts on individuals whose fitness depends on many loci, different loci affect each other's dynamics. This leads to…

Populations and Evolution · Quantitative Biology 2011-08-09 Richard A. Neher , Boris I. Shraiman