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This paper develops a mathematical model describing the influence that conjugation-mediated Horizontal Gene Transfer (HGT) has on the mutation-selection balance in an asexually reproducing population of unicellular, prokaryotic organisms.…

Populations and Evolution · Quantitative Biology 2009-07-06 Yoav Raz , Emmanuel Tannenbaum

We study the simple genetic algorithm with a ranking selection mechanism (linear ranking or tournament). We denote by $\ell$ the length of the chromosomes, by $m$ the population size, by $p_C$ the crossover probability and by $p_M$ the…

Probability · Mathematics 2014-03-24 Raphaël Cerf

We study the evolution of gene frequencies in a population living in $\mathbb{R}^d$, modelled by the spatial Lambda Fleming-Viot process with natural selection (Barton, Etheridge and Veber, 2010 and Etheridge, Veber and Yu, 2014). We…

Probability · Mathematics 2022-10-04 Raphaël Forien , Sarah Penington

Recruitment dynamics, or the distribution of the number of offspring among individuals, is central for understanding ecology and evolution. Sweepstakes reproduction (heavy right-tailed offspring number distribution) is central for…

Populations and Evolution · Quantitative Biology 2026-01-16 Bjarki Eldon

Many experimental and field studies have shown that adaptation can occur very rapidly. Two qualitatively different modes of fast adaptation have been proposed: selective sweeps wherein large shifts in the allele frequencies occur at a few…

Populations and Evolution · Quantitative Biology 2018-10-19 Kavita Jain , Wolfgang Stephan

Maintaining genetic diversity as a means to avoid premature convergence is critical in Genetic Programming. Several approaches have been proposed to achieve this, with some focusing on the mating phase from coupling dissimilar solutions to…

Neural and Evolutionary Computing · Computer Science 2023-03-31 José Maria Simões , Nuno Lourenço , Penousal Machado

Rhizomes play fundamental roles in plant evolution, persistence, and environmental adaptation by enabling clonal propagation, resource storage, and stress resilience. Despite their ecological and agronomic importance across diverse plant…

Populations and Evolution · Quantitative Biology 2026-01-19 Hongfei Chen , Jenn M. Coughlan

Large sets of genotypes give rise to the same phenotype because phenotypic expression is highly redundant. Accordingly, a population can accept mutations without altering its phenotype, as long as thegenotype mutates into another one on the…

Populations and Evolution · Quantitative Biology 2015-02-18 Susanna Manrubia , José A. Cuesta

Migration is a key mechanism for expansion of communities. In spatially heterogeneous environments, rapidly gaining knowledge about the local environment is key to the evolutionary success of a migrating population. For historical human…

Populations and Evolution · Quantitative Biology 2016-12-07 Dong Wang , Michael W. Deem

Sex in higher diploids carries a two-fold cost of males that should reduce its fitness relative to cloning and result in its extinction. Instead, sex is widespread and it is clonal species that face early obsolescence. One possible reason…

Populations and Evolution · Quantitative Biology 2013-04-24 David Green , Chris Mason

The preferred conditions for evolutionary innovation is a fundamental question, but little is known, in part because the question involves rare events. We focused on the potential role of polyploidy in the evolution of novel traits. There…

Populations and Evolution · Quantitative Biology 2024-04-16 Tetsuhiro S. Hatakeyama , Ryudo Ohbayashi

In addition to natural selection, adaptive evolution requires genetic variation to proceed. Yet the G-matrix may have limited 'genetic degrees of freedom', with certain combinations of trait values unavailable to evolution. Such limitations…

Populations and Evolution · Quantitative Biology 2013-01-22 Ian Dworkin , David Tack , Jarrod Hadfield

Genetic hitchhiking describes evolution at a neutral locus that is linked to a selected locus. If a beneficial allele rises to fixation at the selected locus, a characteristic polymorphism pattern (so-called selective sweep) emerges at the…

Probability · Mathematics 2008-11-01 Joachim Hermisson , Peter Pfaffelhuber

This paper focuses on the maximum speed at which biological evolution can occur. I derive inequalities that limit the rate of evolutionary processes driven by natural selection, mutations, or genetic drift. These \emph{rate limits} link the…

Populations and Evolution · Quantitative Biology 2024-06-17 Luis Pedro García-Pintos

Models of codon evolution are commonly used to identify positive selection. Positive selection is typically a heterogeneous process, i.e., it acts on some branches of the evolutionary tree and not others. Previous work on DNA models showed…

Populations and Evolution · Quantitative Biology 2017-09-18 Michael D. Woodhams , Jeremy G. Sumner , David A. Liberles , Michael A. Charleston , Barbara R. Holland

Biological systems are modular, and this modularity affects the evolution of biological systems over time and in different environments. We here develop a theory for the dynamics of evolution in a rugged, modular fitness landscape. We show…

Populations and Evolution · Quantitative Biology 2015-06-23 Jeong-Man Park , Man Chen , Dong Wang , Michael W. Deem

We have analyzed the relations between the mutational pressure, recombination and selection pressure in the bit-string model with sexual reproduction. For specific sets of these parameters we have found three phase transitions with one…

Populations and Evolution · Quantitative Biology 2007-05-23 D. Stauffer , S. Cebrat

The paternally inherited Y chromosome has been widely used in population genetic studies to understand relationships among human populations. Our interpretation of Y chromosomal evidence about population history and genetics has rested on…

Populations and Evolution · Quantitative Biology 2014-02-28 Chuan-Chao Wang , Li Jin , Hui Li

Selective control in a population is the ability to control a member of the population while leaving the other members relatively unaffected. The concept of selective control is developed using cell death or apoptosis in heterogeneous cell…

Quantitative Methods · Quantitative Biology 2014-07-29 Diego Calzolari , Giovanni Paternostro , Patrick L. Harrington , Carlo Piermarocchi , Phillip M. Duxbury

Sperm cooperation has evolved in a variety of taxa and is often considered a response to sperm competition, yet the benefit of this form of collective movement remains unclear. Here we use fine-scale imaging and a minimal mathematical model…

Cell Behavior · Quantitative Biology 2014-07-03 H. S. Fisher , L. Giomi , H. E. Hoekstra , L. Mahadevan
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