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Motivated by present activities in (statistical) physics directed towards biological evolution, we review the interplay of three evolutionary forces: mutation, selection, and genetic drift. The review addresses itself to physicists and…

Statistical Mechanics · Physics 2016-11-23 Ellen Baake , Wilfried Gabriel

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

In order to analyze data from cancer genome sequencing projects, we need to be able to distinguish causative, or "driver," mutations from "passenger" mutations that have no selective effect. Toward this end, we prove results concerning the…

Populations and Evolution · Quantitative Biology 2013-02-13 Rick Durrett

How fast does a population evolve from one fitness peak to another? We study the dynamics of evolving, asexually reproducing populations in which a certain number of mutations jointly confer a fitness advantage. We consider the time until a…

Populations and Evolution · Quantitative Biology 2010-03-31 Chaitanya S. Gokhale , Yoh Iwasa , Martin A. Nowak , Arne Traulsen

Measuring natural selection on genomic elements involved in the cis-regulation of gene expression -- such as transcriptional enhancers and promoters -- is critical for understanding the evolution of genomes, yet it remains a major…

Populations and Evolution · Quantitative Biology 2013-08-08 Justin D. Smith , Kimberly F. McManus , Hunter B. Fraser

We present a model for evolving population which maintains genetic polymorphism. By introducing random mutation in the model population at a constant rate, we observe that the population does not become extinct but survives, keeping…

Soft Condensed Matter · Physics 2009-10-31 H. Y. Lee , D. Kim , M. Y. Choi

Evolutionary algorithms are sensitive to the mutation rate (MR); no single value of this parameter works well across domains. Self-adaptive MR approaches have been proposed but they tend to be brittle: Sometimes they decay the MR to zero,…

Neural and Evolutionary Computing · Computer Science 2022-04-12 Akarsh Kumar , Bo Liu , Risto Miikkulainen , Peter Stone

Well known biological approximations are universal, i.e. invariant to transformations from one species to another. With no other experimental data, such invariance yields exact conservation (with respect to biological diversity and…

Statistical Mechanics · Physics 2007-05-23 Mark Ya. Azbel'

Population genetics struggles to model extinction; standard models track the relative rather than absolute fitness of genotypes, while the exceptions describe only the short-term transition from imminent doom to evolutionary rescue. But…

Populations and Evolution · Quantitative Biology 2017-02-20 Jason Bertram , Kevin Gomez , Joanna Masel

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

We show that evolution in a population of adaptive agents, repeatedly competing for a limited resource, can come to an abrupt halt. This transition from evolutionary to non-evolutionary behavior arises as the global resource level is…

Disordered Systems and Neural Networks · Physics 2009-10-31 N. F. Johnson , D. J. T. Leonard , P. M. Hui , T. S. Lo

How can a microorganism adapt to a variety of environmental conditions despite there exists a limited number of signal transduction machineries? We show that for any growing cells whose gene expression is under stochastic fluctuations,…

Molecular Networks · Quantitative Biology 2015-05-13 Chikara Furusawa , Kunihiko Kaneko

The theory of natural selection has two forms. Deductive theory describes how populations change over time. One starts with an initial population and some rules for change. From those assumptions, one calculates the future state of the…

Populations and Evolution · Quantitative Biology 2016-11-15 Steven A. Frank

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

Population genetic studies have found evidence for dramatic population growth in recent human history. It is unclear how this recent population growth, combined with the effects of negative natural selection, has affected patterns of…

Populations and Evolution · Quantitative Biology 2014-02-11 Kirk E. Lohmueller

Expression level is known to be a strong determinant of a protein's rate of evolution. But the converse can also be true: evolutionary dynamics can affect expression levels of proteins. Having implications in both directions fosters the…

Populations and Evolution · Quantitative Biology 2021-06-09 Jacob Moran , Devon Finlay , Mikhail Tikhonov

We consider the Moran model of population genetics with two types, mutation, and selection, and investigate the line of descent of a randomly-sampled individual from a contemporary population. We trace this ancestral line back into the…

Probability · Mathematics 2024-05-22 Ellen Baake , Enrico Di Gaspero , Fernando Cordero

The paper discusses a connection between asymmetric reproduction -- that is reproduction in a parent-child relationship where the parent does not mutate during reproduction --, the fact that all non-viral lifeforms bear genes of their…

Populations and Evolution · Quantitative Biology 2015-08-11 Norbert Michael Mayer

In an evolutionary system in which the rules of mutation are local in nature, the number of possible outcomes after $m$ mutations is an exponential function of $m$ but with a rate that depends only on the set of rules and not the size of…

Group Theory · Mathematics 2016-05-13 Kasra Rafi , Jing Tao

One of the most intriguing questions in evolution is how organisms exhibit suitable phenotypic variation to rapidly adapt in novel selective environments which is crucial for evolvability. Recent work showed that when selective environments…

Populations and Evolution · Quantitative Biology 2015-08-28 Kostas Kouvaris , Jeff Clune , Louis Kounios , Markus Brede , Richard A. Watson