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Positive selection distorts the structure of genealogies and hence alters patterns of genetic variation within a population. Most analyses of these distortions focus on the signatures of hitchhiking due to hard or soft selective sweeps at a…

Populations and Evolution · Quantitative Biology 2012-08-17 Michael M. Desai , Aleksandra M. Walczak , Daniel S. Fisher

We explore the connection between evolution and large-deviation theory. To do so, we study evolutionary dynamics in which individuals experience mutations, reproduction, and selection using variants of the Moran model. We show that, in the…

Populations and Evolution · Quantitative Biology 2026-01-09 Sara Dal Cengio , Quentin Laurenceau , Vivien Lecomte , Charline Smadi , Julien Tailleur

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

The rate of biological evolution depends on the fixation probability and on the fixation time of new mutants. Intensive research has focused on identifying population structures that augment the fixation probability of advantageous mutants.…

Populations and Evolution · Quantitative Biology 2019-03-11 Josef Tkadlec , Andreas Pavlogiannis , Krishnendu Chatterjee , Martin A. Nowak

We investigate the process of fixation of advantageous mutations in an asexual population. We assume that the effect of each beneficial mutation is exponentially distributed with mean value $\omega_{med}=1/\beta$. The model also considers…

Populations and Evolution · Quantitative Biology 2009-11-10 Viviane M. de Oliveira , Paulo R. A. Campos

Identifying drivers of complex traits from the noisy signals of genetic variation obtained from high throughput genome sequencing technologies is a central challenge faced by human geneticists today. We hypothesize that the variants…

Populations and Evolution · Quantitative Biology 2013-06-18 M. Cyrus Maher , Lawrence H. Uricchio , Dara G. Torgerson , Ryan D. Hernandez

The adaptive evolution of large asexual populations is generally characterized by competition between clones carrying different beneficial mutations. This interference phenomenon slows down the adaptation speed and makes the theoretical…

Populations and Evolution · Quantitative Biology 2012-12-20 Maria Rita Fumagalli , Matteo Osella , Philippe Thomen , Francois Heslot , Marco Cosentino Lagomarsino

The contribution to an organism's phenotype from one genetic locus may depend upon the status of other loci. Such epistatic interactions among loci are now recognized as fundamental to shaping the process of adaptation in evolving…

Populations and Evolution · Quantitative Biology 2012-12-18 Jeremy A. Draghi , Joshua B. Plotkin

Research into somatic mutations in cancer cell DNA and their role in tumour growth and progression between successive stages is crucial for improving our understanding of cancer evolution. Mathematical and computer modelling can provide…

Populations and Evolution · Quantitative Biology 2024-02-26 Andrzej Polanski , Mateusz Kania , Jarosław Gil , Wojciech Łabaj , Ewa Lach , Agnieszka Szczęsna

Adaptation is a central topic in theoretical biology, of practical importance for analyzing drug resistance mutations. Several authors have used arguments based on extreme value theory in their work on adaptation. There are complications…

Populations and Evolution · Quantitative Biology 2013-12-17 Kristina Crona , Devin Greene , Miriam Barlow

The spatial Muller's ratchet is a model introduced by Foutel-Rodier and Etheridge to study the impact of cooperation and competition on the fitness of an expanding asexual population. The model is an interacting particle system consisting…

Probability · Mathematics 2026-03-09 João Luiz de Oliveira Madeira , Marcel Ortgiese , Sarah Penington

Recent studies have consistently inferred high rates of adaptive molecular evolution between Drosophila species. At the same time, the Drosophila genome evolves under different rates of recombination, which results in partial genetic…

Populations and Evolution · Quantitative Biology 2014-09-09 Stephan Schiffels , Michael Lässig , Ville Mustonen

A mutator is an allele that increases the mutation rate throughout the genome by disrupting some aspect of DNA replication or repair. Mutators that increase the mutation rate by the order of 100 fold have been observed to spontaneously…

Populations and Evolution · Quantitative Biology 2008-12-31 C. Scott Wylie , Cheol-Min Ghim , David A. Kessler , Herbert Levine

In an adapted population of mutators in which most mutations are deleterious, a nonmutator that lowers the mutation rate is under indirect selection and can sweep to fixation. Using a multitype branching process, we calculate the fixation…

Populations and Evolution · Quantitative Biology 2017-09-11 Kavita Jain , Ananthu James

The accumulation of deleterious mutations is driven by rare fluctuations which lead to the loss of all mutation free individuals, a process known as Muller's ratchet. Even though Muller's ratchet is a paradigmatic process in population…

Populations and Evolution · Quantitative Biology 2012-06-29 Richard A. Neher , Boris I. Shraiman

This Letter studies the quasispecies dynamics of a population capable of genetic repair evolving on a time-dependent fitness landscape. We develop a model that considers an asexual population of single-stranded, conservatively replicating…

Populations and Evolution · Quantitative Biology 2009-11-13 Pavel Gorodetsky , Emmanuel Tannenbaum

We investigate the evolutionary rescue of a microbial population in a gradually deteriorating environment, through a combination of analytical calculations and stochastic simulations. We consider a population destined for extinction in the…

Populations and Evolution · Quantitative Biology 2020-12-17 Loïc Marrec , Anne-Florence Bitbol

The drift-barrier hypothesis states that random genetic drift constrains the refinement of a phenotype under natural selection. The influence of effective population size and the genome-wide deleterious mutation rate were studied…

Populations and Evolution · Quantitative Biology 2024-07-25 Luis A. La Rocca , Konrad Gerischer , Anton Bovier , Peter M. Krawitz

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

Evolutionary branching is analysed in a stochastic, individual-based population model under mutation and selection. In such models, the common assumption is that individual reproduction and life career are characterised by values of a…

Populations and Evolution · Quantitative Biology 2025-10-01 S. Sagitov , B. Mehlig , P. Jagers , V. Vatutin