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A simple analytical framework to study the molecular quasispecies evolution of finite populations is proposed, in which the population is assumed to be a random combination of the constiyuent molecules in each generation,i.e., linkage…

Statistical Mechanics · Physics 2016-08-31 Domingos Alves , J. F. Fontanari

Phylogenetics uses alignments of molecular sequence data to learn about evolutionary trees relating species. Along branches, sequence evolution is modelled using a continuous-time Markov process characterised by an instantaneous rate…

We consider two versions of stochastic population models with mutation and selection. The first approach relies on a multitype branching process; here, individuals reproduce and change type (i.e., mutate) independently of each other,…

Populations and Evolution · Quantitative Biology 2009-02-19 E. Baake , R. Bialowons

Living species, ranging from bacteria to animals, exist in environmental conditions that exhibit spatial and temporal heterogeneity which requires them to adapt. Risk-spreading through spontaneous phenotypic variations is a known concept in…

Populations and Evolution · Quantitative Biology 2020-04-03 Aleksandra Ardaševa , Robert A. Gatenby , Alexander R. A. Anderson , Helen M. Byrne , Philip K. Maini , Tommaso Lorenzi

We consider a single genetic locus with two alleles $A_1$ and $A_2$ in a large haploid population. The locus is subject to selection and two-way, or recurrent, mutation. Assuming the allele frequencies follow a Wright-Fisher diffusion and…

Probability · Mathematics 2024-04-29 Wai-Tong Louis Fan , John Wakeley

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

We study a family of selection-mutation models of a sexual population structured by a phenotypical trait. The main feature of these models is the asymmetric trait heredity or fecundity between the parents : we assume that each individual…

Analysis of PDEs · Mathematics 2022-04-11 Benoît Perthame , Martin Strugarek , Cécile Taing

Machine learning and deep learning have been celebrating many successes in the application to biological problems, especially in the domain of protein folding. Another equally complex and important question has received relatively little…

Machine Learning · Computer Science 2023-10-09 Lucie Bourguignon , Caroline Weis , Catherine R. Jutzeler , Michael Adamer

Evolutionary algorithms (EAs) form a popular optimisation paradigm inspired by natural evolution. In recent years the field of evolutionary computation has developed a rigorous analytical theory to analyse their runtime on many illustrative…

Neural and Evolutionary Computing · Computer Science 2015-10-02 Tiago Paixão , Jorge Pérez Heredia , Dirk Sudholt , Barbora Trubenová

The evolution of cooperation often depends upon population structure, yet nearly all models of cooperation implicitly assume that this structure remains static. This is a simplifying assumption, because most organisms possess genetic traits…

Populations and Evolution · Quantitative Biology 2012-08-03 Simon T. Powers , Alexandra S. Penn , Richard A. Watson

Biases in molecular evolution can significantly influence evolutionary trajectories. They have been described in a variety of contexts such as development and mutation, but not for acquiring new functions (i.e. emergence). Here, we…

Populations and Evolution · Quantitative Biology 2026-04-23 Timothy Fuqua , Nikolaos Vakirlis

The functions of proteins and RNAs are determined by a myriad of interactions between their constituent residues, but most quantitative models of how molecular phenotype depends on genotype must approximate this by simple additive effects.…

Quantitative Methods · Quantitative Biology 2017-12-19 Adam J. Riesselman , John B. Ingraham , Debora S. Marks

During bouts of evolutionary diversification, such as adaptive radiations, the emerging species cluster around different locations in phenotype space, How such multimodal patterns in phenotype space can emerge from a single ancestral…

Populations and Evolution · Quantitative Biology 2007-11-19 Michael Doebeli , Hendrik J. Blok , Olof Leimar , Ulf Dieckmann

Linked beneficial and deleterious mutations are known to decrease the fixation probability of a favorable mutation in large asexual populations. While the hindering effect of strongly deleterious mutations on adaptive evolution has been…

Populations and Evolution · Quantitative Biology 2022-03-22 Kavita Jain

Stronger selection implies faster evolution---that is, the greater the force, the faster the change. This apparently self-evident proposition, however, is derived under the assumption that genetic variation within a population is primarily…

Populations and Evolution · Quantitative Biology 2017-08-18 Masahiko Ueda , Nobuto Takeuchi , Kunihiko Kaneko

We are interested in the study of models describing the evolution of a polymorphic population with mutation and selection in the specific scales of the biological framework of adaptive dynamics. The population size is assumed to be large…

Probability · Mathematics 2011-12-05 Nicolas Champagnat , Sylvie Méléard

In subdivided populations, migration acts together with selection and genetic drift and determines their evolution. Building up on a recently proposed method, which hinges on the emergence of a time scale separation between local and global…

Populations and Evolution · Quantitative Biology 2015-03-24 Pierangelo Lombardo , Andrea Gambassi , Luca Dall'Asta

The mutation-selection mechanism of Darwinian evolution gives rise not only to adaptation to environmental conditions but also to the enhancement of robustness against mutations. When two or more phenotypes have the same fitness value, the…

Populations and Evolution · Quantitative Biology 2024-11-20 Macoto Kikuchi

Whether evolution can be predicted is a key question in evolutionary biology. Here we set out to better understand the repeatability of evolution. We explored experimentally the effect of mutation supply and the strength of selective…

Populations and Evolution · Quantitative Biology 2017-09-13 Thomas van Dijk , Sungmin Hwang , Joachim Krug , J. Arjan G. M. de Visser , Mark P. Zwart

In unicellular organisms such as bacteria and in most viruses, mutations mainly occur during reproduction. Thus, genotypes with a high birth rate should have a higher mutation rate. However, standard models of asexual adaptation such as the…

Analysis of PDEs · Mathematics 2021-11-10 Florian Patout , R Forien , M Alfaro , J Papaïx , L Roques
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