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Environmental changes greatly influence the evolution of populations. Here, we study the dynamics of a population of two strains, one growing slightly faster than the other, competing for resources in a time-varying binary environment…

Populations and Evolution · Quantitative Biology 2020-07-28 Ami Taitelbaum , Robert West , Michael Assaf , Mauro Mobilia

The profound impact of Darwin's theory of evolution on biology has led to the acceptance of the theory in many complex systems that lie well beyond its original domain. Culture is one example that also exhibits key Darwinian evolutionary…

Physics and Society · Physics 2019-03-07 Seungkyu Shin , Juyong Park

The concept of fitness is central to evolution, but it quantifies only the expected number of offspring an individual will produce. The actual number of offspring is also subject to noise, arising from environmental or demographic…

Populations and Evolution · Quantitative Biology 2022-09-07 Guocheng Wang , Qi Su , Long Wang , Joshua B. Plotkin

In this paper we study a class of stochastic individual-based models that describe the evolution of haploid populations where each individual is characterised by a phenotype and a genotype. The phenotype of an individual determines its…

Probability · Mathematics 2017-08-07 Martina Baar , Anton Bovier

I review the evolutionary history of human populations in Europe with an emphasis on what has been learned in recent years through the study of ancient DNA. Human populations in Europe ~430-39kya (archaic Europeans) included Neandertals and…

Populations and Evolution · Quantitative Biology 2018-05-07 Iosif Lazaridis

Theoretical descriptions of the stepping-stone model, a cornerstone of spatial population genetics, have long overlooked diffusive noise arising from migration dynamics. We derive an exact fluctuating hydrodynamic description of this model…

Statistical Mechanics · Physics 2025-05-30 Rashmiranjan Bhutia , Stephy Jose , Prasad Perlekar , Kabir Ramola

We describe the simulation method of modelling the population evolution using Monte Carlo based on the Penna model. Individuals in the populations are represented by their diploid genomes. Genes expressed after the minimum reproduction age…

Genomics · Quantitative Biology 2009-01-13 Agnieszka Laszkiewicz , Przemyslaw Biecek , Katarzyna Bonkowska , Stanislaw Cebrat

Using Monte Carlo model of biological evolution we have discovered that populations can switch between two different strategies of their genomes' evolution; Darwinian purifying selection and complementing the haplotypes. The first one is…

Populations and Evolution · Quantitative Biology 2009-11-13 Marta Zawierta , Wojciech Waga , Dorota Mackiewicz , Przemyslaw Biecek , Stanislaw Cebrat

This report provides insights into global population dynamics since the beginning of the Anthropocene, focusing on empirical data and minimizing a priori the impact of model assumptions. It explores the Relative Growth Rate concept,…

Physics and Society · Physics 2025-11-13 Aleksandra Drozd-Rzoska , Agata Angelika Sojecka , Sylwester J. Rzoska

In this study, we construct an evolutionary model of a population of DNA sequences interacting with the surrounding environment on the topological monoid A* of strings on the alphabet A = { a, c, g, t }. A partial differential equation…

Populations and Evolution · Quantitative Biology 2017-06-06 Hitoshi Koyano , Kouji Yano

We introduce a broad class of spatial models to describe how spatially heterogeneous populations live, die, and reproduce. Individuals are represented by points of a point measure, whose birth and death rates can depend both on spatial…

Probability · Mathematics 2024-01-02 Alison M. Etheridge , Thomas G. Kurtz , Ian Letter , Peter L. Ralph , Terence Tsui Ho Lung

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

We consider a large population of asexually reproducing individuals in absence of selective pressure. The population size is maintained constant by the environment. We find out that distances between individuals (time from the last common…

Statistical Mechanics · Physics 2007-05-23 Maurizio Serva

The dynamics of adaptation is difficult to predict because it is highly stochastic even in large populations. The uncertainty emerges from number fluctuations, called genetic drift, arising in the small number of particularly fit…

Populations and Evolution · Quantitative Biology 2015-06-30 Oskar Hallatschek , Lukas Geyrhofer

A range of a priori hypotheses about the evolution of modern and archaic genomes are further evaluated and tested. In addition to the well-known splits/introgressions involving Neanderthal genes into out-of- Africa people, or Denisovan…

Populations and Evolution · Quantitative Biology 2013-12-31 Peter J. Waddell

An adult human body is made up of some 30 to 40 trillion cells, all of which stem from a single fertilized egg cell. The process by which the right cells appear to arrive in their right numbers at the right time at the right place --…

Subcellular Processes · Quantitative Biology 2024-12-20 Sean T. Vittadello , Léo Diaz , Yujing Liu , Adriana Zanca , Michael P. H. Stumpf

Thousands of candidate human-specific regulatory sequences (HSRS) have been identified, supporting the hypothesis that unique to human phenotypes result from human-specific alterations of genomic regulatory networks. Here, conservation…

Genomics · Quantitative Biology 2025-12-30 Gennadi Glinsky

Most of the DNA that composes a complex organism is non-coding and defined as junk. Even the coding part is composed of genes that affect the phenotype differently. Therefore, a random mutation has an effect on the specimen fitness that…

Populations and Evolution · Quantitative Biology 2021-07-19 Mattia Miotto , Lorenzo Monacelli

We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population…

Probability · Mathematics 2016-08-16 Nicolas Champagnat , Régis Ferrière , Sylvie Méléard

Stochastic dynamics of a quantum system driven by $N$ statistically independent random sudden quenches in a fixed time interval is studied. We reveal that with growing $N$ the system approaches a deterministic limit indicating…

Quantum Physics · Physics 2018-08-15 Marcin Łobejko , Jerzy Dajka , Jerzy Łuczka