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We introduce a population dynamics model, where individual genomes are represented by bit-strings. Selection is described by death probabilities which depend on these genomes, and new individuals continuously replace the ones that die,…

Statistical Mechanics · Physics 2009-11-10 P. M. C. de Oliveira , J. S. Sa' Martins , D. Stauffer , S. Moss de Oliveira

Major discrepancies have been noted for some time between fossil ages and molecular divergence dates for a variety of taxa. Recently, systematic trends within avian clades have been uncovered. The trends show that the disparity is much…

Populations and Evolution · Quantitative Biology 2017-01-24 Adrian L. Melott

Technical signs of progress during the last decades has led to a situation in which the accumulation of genome sequence data is increasingly fast and cheap. The huge amount of molecular data available nowadays can help addressing new and…

Genomics · Quantitative Biology 2017-05-02 Christophe Guyeux , Bashar Al-Nuaimi , Bassam AlKindy , Jean-François Couchot , Michel Salomon

This paper shows that differentiating the lifetimes of two phenotypes independently from their fertility can lead to a qualitative change in the equilibrium of a population: since survival and reproduction are distinct functional aspects of…

Populations and Evolution · Quantitative Biology 2013-05-22 Ignacio Gallo

Genetic drift is stochastic fluctuations of alleles frequencies in a population due to sampling effects. We consider a model of drift in an equilibrium population, with high mutation rates: few functional mutations per generation. Such…

Populations and Evolution · Quantitative Biology 2017-01-12 Alexey A. Shadrin , Dmitri V. Parkhomchuk

Collecting genomics data across multiple heterogeneous populations (e.g., across different cancer types) has the potential to improve our understanding of disease. Despite sequencing advances, though, resources often remain a constraint…

Methodology · Statistics 2024-03-05 Yunyi Shen , Lorenzo Masoero , Joshua G. Schraiber , Tamara Broderick

Motivated by the wide range of known self-replicating systems, some far from genetics, we study a system composed by individuals having an internal dynamics with many possible states that are partially stable, with varying mutation rates.…

Biological Physics · Physics 2015-10-07 Tommaso Brotto , Guy Bunin , Jorge Kurchan

In mathematical population genetics, it is well known that one can represent the genealogy of a population by a tree, which indicates how the ancestral lines of individuals in the population coalesce as they are traced back in time. As the…

Probability · Mathematics 2014-02-20 Götz Kersting , Jason Schweinsberg , Anton Wakolbinger

A new method for determining whether or not a mitrochondrial DNA (mtDNA) sequence belongs to a vertebrate is described and tested. This method only needs the mtDNA sequence of the organism in question, and unlike alignment based methods, it…

Genomics · Quantitative Biology 2010-01-05 Nikesh S. Dattani

Evolution has fascinated quantitative and physical scientists for decades: how can the random process of mutation, recombination, and duplication of genetic information generate the diversity of life? What determines the rate of evolution?…

Populations and Evolution · Quantitative Biology 2018-04-23 Richard A. Neher , Aleksandra M. Walczak

Reconciling gene trees with a species tree is a fundamental problem to understand the evolution of gene families. Many existing approaches reconcile each gene tree independently. However, it is well-known that the evolution of gene families…

Populations and Evolution · Quantitative Biology 2018-06-12 Riccardo Dondi , Manuel Lafond , Celine Scornavacca

Consider a supercritical birth and death process where the children acquire mutations. We study the mutation rates along the ancestral lineages in a sample of size $n$ from the population at time $T$. The mutation rate is time-inhomogenous…

Probability · Mathematics 2024-02-27 Yubo Shuai

Non-African populations have experienced major bottlenecks in the time since their split from West Africans, which has led to the hypothesis that natural selection to remove weakly deleterious mutations may have been less effective in…

Populations and Evolution · Quantitative Biology 2014-02-21 Ron Do , Daniel Balick , Heng Li , Ivan Adzhubei , Shamil Sunyaev , David Reich

A crucial test any proposed evolutionary scenario must pass is can the birth rate of the sources we see be sustained by the proposed progenitor population? In this review, I investigate the methods used to determine the birth rates of…

Astrophysics · Physics 2007-05-23 D. R. Lorimer

Asynchronous replication of the genome has been associated with different rates of point mutation and copy number variation (CNV) in human populations. Here, we explored if the bias in the generation of CNV that is associated to DNA…

Genomics · Quantitative Biology 2013-11-27 David Juan , Daniel Rico , Tomas Marques-Bonet , Oscar Fernandez-Capetillo , Alfonso Valencia

The phenomenon of gene conservation is an interesting evolutionary problem related to speciation and adaptation. Conserved genes are acted upon in evolution in a way that preserves their function despite other structural and functional…

Genomics · Quantitative Biology 2008-07-23 Bradly J. Alicea , Marcela A. Carvallo-Pinto , Jorge L. M. Rodrigues

Biological cells replicate their genomes in a well-planned manner. The DNA replication program of an organism determines the timing at which different genomic regions are replicated, with fundamental consequences for cell homeostasis and…

Subcellular Processes · Quantitative Biology 2024-05-28 Florian Pflug , Deepak Bhat , Simone Pigolotti

This paper proposes an original theory of aging of multicellular organisms. The cells of multicellular organisms, in contrast to unicellular organisms, are burdened with a two- part genome: housekeeping and specialized (multicellular),…

Cell Behavior · Quantitative Biology 2012-08-16 Lev Salnikov

We consider the Moran model of population genetics with two types, mutation, and selection, and investigate the line of descent of a randomly-sampled individual from a contemporary population. We trace this ancestral line back into the…

Probability · Mathematics 2024-05-22 Ellen Baake , Enrico Di Gaspero , Fernando Cordero

In this paper, we review recent results of ours concerning branching processes with general lifetimes and neutral mutations, under the infinitely many alleles model, where mutations can occur either at birth of individuals or at a constant…

Probability · Mathematics 2012-11-29 Nicolas Champagnat , Amaury Lambert , Mathieu Richard