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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

We introduce a model of molecular evolution in which the fitness of an individual depends both on its own and on the parent's genotype. The model can be solved by means of a nonlinear mapping onto the standard quasispecies model. The…

Biological Physics · Physics 2009-11-07 Claus O. Wilke

A key goal in studies of ecology and evolution is understanding the causes of phenotypic diversity in nature. Most traits of interest, such as those relating to morphology, life-history, immunity and behaviour are quantitative, and…

Populations and Evolution · Quantitative Biology 2022-11-22 Susan E. Johnston , Nancy Chen , Emily B. Josephs

In evolutionary dynamics, a key measure of a mutant trait's success is the probability that it takes over the population given some initial mutant-appearance distribution. This "fixation probability" is difficult to compute in general, as…

Populations and Evolution · Quantitative Biology 2022-02-18 Alex McAvoy , Benjamin Allen

Mutations are typically classified by their effects on the nucleotide sequence and by their size. Here, we argue that if our main aim is to understand the effect of mutations on evolutionary outcomes (such as adaptation or speciation), we…

Other Quantitative Biology · Quantitative Biology 2020-09-30 Emma L. Berdan , Alexandre Blanckaert , Tanja Slotte , Alexander Suh , Anja M. Westram , Inês Fragata

We consider the dynamics imposed by natural selection on the populations of two competing, sexually reproducing, haploid species. In this setting, the fitness of any genome varies over time due to the changing population mix of the…

Populations and Evolution · Quantitative Biology 2024-07-18 Yuval Rabani , Leonard J. Schulman , Alistair Sinclair

The two most fundamental processes describing change in biology, development and evolu-tion, occur over drastically different timescales, difficult to reconcile within a unified framework. Development involves temporal sequences of cell…

Biological Physics · Physics 2020-09-08 Enrico Borriello , Sara I. Walker , Manfred D. Laubichler

Stochastic phenotype switching has been suggested to play a beneficial role in microbial populations by leading to the division of labour among cells, or ensuring that at least some of the population survives an unexpected change in…

Populations and Evolution · Quantitative Biology 2016-02-02 Andrew C. Tadrowski , Martin R. Evans , Bartlomiej Waclaw

Understanding the observed variability in the number of homologs of a gene is a very important, unsolved problem that has broad implications for research into co-evolution of structure and function, gene duplication, pseudogene formation…

Biomolecules · Quantitative Biology 2007-05-23 Boris Shakhnovich , Eric Deeds , Charles Delisi , Eugene Shakhnovich

Protein evolution involves mutations occurring across a wide range of time scales. In analogy with disordered systems in statistical physics, this dynamical heterogeneity suggests strong correlations between mutations happening at distinct…

Biomolecules · Quantitative Biology 2025-07-15 Saverio Rossi , Leonardo Di Bari , Martin Weigt , Francesco Zamponi

Genetic sequences are known to possess non-trivial composition together with symmetries in the frequencies of their components. Recently, it has been shown that symmetry and structure are hierarchically intertwined in DNA, suggesting a…

Genomics · Quantitative Biology 2020-09-28 Giampaolo Cristadoro , Mirko Degli Esposti , Eduardo G. Altmann

The distribution and heritability of many traits depends on numerous loci in the genome. In general, the astronomical number of possible genotypes makes the system with large numbers of loci difficult to describe. Multilocus evolution,…

Populations and Evolution · Quantitative Biology 2012-08-01 Richard A. Neher , Boris I. Shraiman

The inheritance of characteristics induced by the environment has often been opposed to the theory of evolution by natural selection. Yet, while evolution by natural selection requires new heritable traits to be produced and transmitted, it…

Populations and Evolution · Quantitative Biology 2015-06-18 Olivier Rivoire , Stanislas Leibler

Evolutionary algorithms, inspired by natural evolution, aim to optimize difficult objective functions without computing derivatives. Here we detail the relationship between population genetics and evolutionary optimization and formulate a…

Populations and Evolution · Quantitative Biology 2023-07-19 Jakub Otwinowski , Colin LaMont

Species or population that proliferate faster than others become dominant in numbers. Catalysis allows catalytic sets within a molecular reaction network to dominate the non catalytic parts of the network by processing most of the available…

Cell Behavior · Quantitative Biology 2016-08-31 Rudolf Hanel

The evolution and function of imitation have always been placed within the confines of animal learning and associated with its crucial role in cultural transmission and cultural evolution. Can imitation evolve as a form of phenotypic…

Populations and Evolution · Quantitative Biology 2021-10-22 Lee Altenberg , Susanne Still , Christopher J. Watkins

The origin of diversification and coexistence of genes and species have been traditionally studied in isolated biological levels. Ecological and evolutionary views have focused on the mechanisms that enable or constrain species coexistence,…

Populations and Evolution · Quantitative Biology 2008-07-18 Carlos J. Melian , David Alonso , Diego P. Vazquez , James Regetz

Resistance to chemotherapies, particularly to anticancer treatments, is an increasing medical concern. Among the many mechanisms at work in cancers, one of the most important is the selection of tumor cells expressing resistance genes or…

Analysis of PDEs · Mathematics 2012-07-05 Alexander Lorz , Tommaso Lorenzi , Michael E. Hochberg , Jean Clairambault , Benoit Perthame

In order to make a case for or against a trend in the evolution of complexity in biological evolution, complexity needs to be both rigorously defined and measurable. A recent information-theoretic (but intuitively evident) definition…

Biological Physics · Physics 2016-09-08 Christoph Adami , Charles Ofria , Travis C. Collier

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