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A major goal of molecular evolutionary biology is to identify loci or regions of the genome under selection versus those evolving in a neutral manner. Correct identification allows accurate inference of the evolutionary process and thus…

Populations and Evolution · Quantitative Biology 2020-06-18 Fanny Pouyet , Kimberly J. Gilbert

The interrelationships of the fundamental biological processes natural selection, mutation, and stochastic drift are quantified by the entropy rate of Moran processes with mutation, measuring the long-run variation of a Markov process. The…

Dynamical Systems · Mathematics 2014-01-14 Marc Harper

We consider a stochastic model of population dynamics where each individual is characterised by a trait in {0,1,...,L} and has a natural reproduction rate, a logistic death rate due to age or competition and a probability of mutation…

Probability · Mathematics 2019-02-12 Anton Bovier , Loren Coquille , Charline Smadi

Coevolutionary dynamics is investigated in chemical catalysis, biological evolution, social and economic systems. The dynamics of these systems can be analyzed within the unifying framework of evolutionary game theory. In this Letter, we…

Populations and Evolution · Quantitative Biology 2012-06-12 Jens Christian Claussen , Arne Traulsen

The interaction between natural selection and random mutation is frequently debated in recent years. Does similar dilemma also exist in the evolution of real networks such as biological networks? In this paper, we try to discuss this issue…

Statistical Mechanics · Physics 2009-01-07 Zhen Shao , Hai-jun Zhou

Since steep declines in a population's size also typically alter its composition, population bottlenecks are considered highly important for evolution. However, despite such significance, the mechanisms governing the impact of a given…

Populations and Evolution · Quantitative Biology 2022-06-28 Emanuele Crosato , Jeffrey N. Philippson , Shashi Thutupalli , Richard G. Morris

Mutation rate is a key determinant of the pace as well as outcome of evolution, and variability in this rate has been shown in different scenarios to play a key role in evolutionary adaptation and resistance evolution under stress caused by…

Populations and Evolution · Quantitative Biology 2019-03-01 Dalit Engelhardt , Eugene I. Shakhnovich

Mutation and drift play opposite roles in genetics. While mutation creates diversity, drift can cause gene variants to disappear, especially when they are rare. In the absence of natural selection and migration, the balance between the…

Populations and Evolution · Quantitative Biology 2021-11-29 Gabriella D. Franco , Flavia M. D. Marquitti , Lucas D. Fernandes , Dan Braha , Marcus A. M. de Aguiar

Motivated by a recent article on open problems in artificial life, here I postulate three laws which form a mathematical framework to describe artificial life evolutionary dynamics. They are based on a continuous approximation of population…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 P. Ao

We consider an exponentially growing population of cells undergoing mutations and ask about the effect of reproductive fluctuations (genetic drift) on its long-term evolution. We combine first step analysis with the stochastic dynamics of a…

Populations and Evolution · Quantitative Biology 2022-03-14 Arman Angaji , Christoph Velling , Johannes Berg

This review is an introduction to theoretical models and mathematical calculations for biological evolution, aimed at physicists. The methods in the field are naturally very similar to those used in statistical physics, although the…

Statistical Mechanics · Physics 2015-06-24 Barbara Drossel

We use traveling-wave theory to derive expressions for the rate of accumulation of deleterious mutations under Muller's ratchet and the speed of adaptation under positive selection in asexual populations. Traveling-wave theory is a…

Populations and Evolution · Quantitative Biology 2007-12-19 Igor M. Rouzine , Eric Brunet , Claus O. Wilke

When biological populations expand into new territory, the evolutionary outcomes can be strongly influenced by genetic drift, the random fluctuations in allele frequencies. Meanwhile, spatial variability in the environment can also…

Populations and Evolution · Quantitative Biology 2024-06-27 Jimmy Gonzalez Nuñez , Jayson Paulose , Wolfram Möbius , Daniel A. Beller

The biological theory of adaptive dynamics proposes a description of the long-term evolution of a structured asexual population. It is based on the assumptions of large population, rare mutations and small mutation steps, that lead to a…

Probability · Mathematics 2007-05-23 Nicolas Champagnat , Amaury Lambert

To learn about the past from a sample of genomic sequences, one needs to understand how evolutionary processes shape genetic diversity. Most population genetic inference is based on frameworks assuming adaptive evolution is rare. But if…

Populations and Evolution · Quantitative Biology 2014-03-25 Richard A. Neher

Which factors govern the evolution of mutation rates and emergence of species? Here, we address this question using a first principles model of life where population dynamics of asexual organisms is coupled to molecular properties and…

Populations and Evolution · Quantitative Biology 2009-11-13 Muyoung Heo , Louis Kang , Eugene I. Shakhnovich

Natural selection acts on traits at different scales, often with opposing consequences. This article identifies the particular forces that act at each scale and how those forces combine to determine the overall evolutionary outcome. A…

Populations and Evolution · Quantitative Biology 2025-10-30 Steven A. Frank

The evolutionary force of recombination is lacking in asexually reproducing populations. As a consequence, the population can suffer an irreversible accumulation of deleterious mutations, a phenomenon known as Muller's ratchet. We formulate…

Probability · Mathematics 2007-09-19 A. Etheridge , P. Pfaffelhuber , A. Wakolbinger

We consider the effect of network structure on the evolution of a population. Models of this kind typically consider a population of fixed size and distribution. Here we consider eco-evolutionary dynamics where population size and…

Populations and Evolution · Quantitative Biology 2023-04-05 Karan Pattni , Wajid Ali , Mark Broom , Kieran J Sharkey

A new approach to understanding evolution [Val09], namely viewing it through the lens of computation, has already started yielding new insights, e.g., natural selection under sexual reproduction can be interpreted as the Multiplicative…

Populations and Evolution · Quantitative Biology 2016-04-26 Ruta Mehta , Ioannis Panageas , Georgios Piliouras , Prasad Tetali , Vijay V. Vazirani