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We consider a neutral haploid population whose generations are not overlapping and whose size is large and constantly of $N$ individuals. Any generation is replaced by a new one and any individual has a single parent. We do not choose the…

Populations and Evolution · Quantitative Biology 2009-11-11 Maurizio Serva

The advent of modern genome sequencing techniques allows for a more stringent test of the neutrality hypothesis of Darwinian evolution, where all individuals have the same fitness. Using the individual based model of Wright and Fisher, we…

Populations and Evolution · Quantitative Biology 2017-02-01 Bahram Houchmandzadeh

Evolutionary dynamics in an uncorrelated rugged fitness landscape is studied in the framework of Eigen's molecular quasispecies model. We consider the case of strong selection, which is analogous to the zero temperature limit in the…

Statistical Mechanics · Physics 2007-05-23 Joachim Krug

In classical evolutionary theory, genetic variation provides the source of heritable phenotypic variation on which natural selection acts. Against this classical view, several theories have emphasized that developmental variability and…

Populations and Evolution · Quantitative Biology 2011-11-08 Steven A. Frank

We investigate a simple quantitative genetics model subjet to a gradual environmental change from the viewpoint of the phylogenies of the living individuals. We aim to understand better how the past traits of their ancestors are shaped by…

Probability · Mathematics 2021-04-22 Vincent Calvez , Benoît Henry , Sylvie Méléard , Viet Chi Tran

It has recently been suggested that the fundamental haploid-diploid cycle of eukaryotic sex exploits a rudimentary form of the Baldwin effect. Thereafter the other associated phenomena can be explained as evolution tuning the amount and…

Populations and Evolution · Quantitative Biology 2018-11-12 Larry Bull

Many single-cell observables are highly heterogeneous. A part of this heterogeneity stems from age-related phenomena: the fact that there is a nonuniform distribution of cells with different ages. This has led to a renewed interest in…

Quantitative Methods · Quantitative Biology 2018-04-18 Nash Rochman , Dan Popescu , Sean X. Sun

Mitochondrial and nuclear genomes must be co-adapted to ensure proper cellular respiration and energy production. Mito-nuclear incompatibility reduces individual fitness and induces hybrid infertility, suggesting a possible role in…

Populations and Evolution · Quantitative Biology 2022-10-12 Débora Princepe , Marcus A. M. de Aguiar , Joshua B. Plotkin

We investigate the nature of genetic drift acting at the leading edge of range expansions, building on recent results in [Hallatschek et al., Proc.\ Natl.\ Acad.\ Sci., \textbf{104}(50): 19926 - 19930 (2007)]. A well mixed population of two…

Populations and Evolution · Quantitative Biology 2010-08-16 Adnan Ali , Stefan Grosskinsky

In a population of size N, adaptive evolution is 2N times faster under Mendelian inheritance than the rate implied by Victorian theories of heredity and evolution.

Populations and Evolution · Quantitative Biology 2021-08-03 Alan R. Rogers

Migrations have played an important role in shaping the genetic diversity of human populations. Understanding genomic data thus requires careful modeling of historical gene flow. Here we consider the effect of relatively recent population…

Populations and Evolution · Quantitative Biology 2012-04-26 Simon Gravel

Living organisms have some common structures, chemical reactions and molecular structures. The organisms consist of cells with cell division, they have homochirality of protein and carbohydrate units, and metabolism, and genetics, and they…

Populations and Evolution · Quantitative Biology 2025-05-27 Søren Toxvaerd

The modeling of time series is becoming increasingly critical in a wide variety of applications. Overall, data evolves by following different patterns, which are generally caused by different user behaviors. Given a time series, we define…

Machine Learning · Computer Science 2022-07-13 Wenjie Hu , Jianping Huang , Liang Wu , Yang Yang , Zongtao Liu , Zhanlin Sun , Bingshen Yao , Ke Chen

The human brains are organized into hierarchically modular networks facilitating efficient and stable information processing and supporting diverse cognitive processes during the course of development. While the remarkable reconfiguration…

Neurons and Cognition · Quantitative Biology 2020-09-16 Xuyun Wen , Liming Hsu , Weili Lin , Han Zhang , Dinggang Shen

We propose a modelling framework to analyse the stochastic behaviour of heterogeneous, multi-scale cellular populations. We illustrate our methodology with a particular example in which we study a population with an oxygen-regulated…

Biological Physics · Physics 2017-09-01 Roberto de la Cruz , Pilar Guerrero , Fabian Spill , Tomás Alarcón

Sexual selection theory models evolution of sexual signals and preferences using simple life histories. However, life-history models predict that males benefit from increasing sexual investment approaching old age, producing age-dependent…

Populations and Evolution · Quantitative Biology 2013-12-16 Joel James Adamson

Density dependence is important in the ecology and evolution of microbial and cancer cells. Typically, we can only measure net growth rates, but the underlying density-dependent mechanisms that give rise to the observed dynamics can…

Populations and Evolution · Quantitative Biology 2025-06-04 Linh Huynh , Jacob G. Scott , Peter J. Thomas

Many populations, e.g. of cells, bacteria, viruses, or replicating DNA molecules, start small, from a few individuals, and grow large into a noticeable fraction of the environmental carrying capacity $K$. Typically, the elements of the…

Probability · Mathematics 2018-06-12 P. Chigansky , P. Jagers , F. C. Klebaner

The ongoing explosion of genome sequence data is transforming how we reconstruct and understand the histories of biological systems. Across biological scales, from individual cells to populations and species, trees-based models provide a…

Populations and Evolution · Quantitative Biology 2025-12-08 Yun Deng , Shing H. Zhan , Yulin Zhang , Chao Zhang , Bingjie Chen

The genetic material of a eukaryotic cell comprises both nuclear DNA (ncDNA) and mitochondrial DNA (mtDNA). These differ markedly in several aspects but nevertheless must encode proteins that are compatible with one another. Here we…

Populations and Evolution · Quantitative Biology 2020-09-04 Valmir C. Barbosa , Raul Donangelo , Sergio R. Souza
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