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Genetic drift is stochastic fluctuations of alleles frequencies in a population due to sampling effects. We consider a model of drift in an equilibrium population, with high mutation rates: few functional mutations per generation. Such…

Populations and Evolution · Quantitative Biology 2017-01-12 Alexey A. Shadrin , Dmitri V. Parkhomchuk

A model for the evolution of a finite population in a rugged fitness landscape is introduced and solved. The population is trapped in an evolutionary loop, alternating periods of stasis to periods in which it performs adaptive walks. The…

Disordered Systems and Neural Networks · Physics 2009-10-31 Luca Peliti

An interesting feature of growth in animals is that different parts of the body grow at approximately the same rate. This property is called proportionate growth. In this paper, we review our recent work on patterns formed by adding $N$…

Statistical Mechanics · Physics 2014-11-18 Deepak Dhar , Tridib Sadhu

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

Understanding why we age is a long-lived open problem in evolutionary biology. Aging is prejudicial to the individual and evolutionary forces should prevent it, but many species show signs of senescence as individuals age. Here, I will…

Populations and Evolution · Quantitative Biology 2012-01-24 André C. R. Martins

In exponentially proliferating populations of microbes, the population typically doubles at a rate less than the average doubling time of a single-cell due to variability at the single-cell level. It is known that the distribution of…

Populations and Evolution · Quantitative Biology 2020-07-29 Ethan Levien , Trevor GrandPre , Ariel Amir

Resistance to insecticide is considered nowadays one of the major threats to insect control, as its occurrence reduces drastically the efficiency of chemical control campaigns, and may also perturb the application of other control methods,…

Optimization and Control · Mathematics 2019-12-24 Pastor E. Pérez-Estigarribia , Pierre-Alexandre Bliman , Christian Schaerer

The genetic diversity of a species is shaped by its recent evolutionary history and can be used to infer demographic events or selective sweeps. Most inference methods are based on the null hypothesis that natural selection is a weak or…

Populations and Evolution · Quantitative Biology 2013-03-05 Richard A. Neher , Oskar Hallatschek

The goal of this work is to analyze a model for the rate-independent evolution of sets with finite perimeter. The evolution of the admissible sets is driven by that of a given time-dependent set, which has to include the admissible sets and…

Analysis of PDEs · Mathematics 2019-03-01 Riccarda Rossi , Ulisse Stefanelli , Marita Thomas

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 consider the hypothesis that Evolution promotes population-wide genome patterns that, under randomization, ensures the External Validity of adaptations across population members. An adaptation is Externally Valid (EV) if its effect holds…

Populations and Evolution · Quantitative Biology 2021-08-17 Andre F. Ribeiro

Stronger selection implies faster evolution---that is, the greater the force, the faster the change. This apparently self-evident proposition, however, is derived under the assumption that genetic variation within a population is primarily…

Populations and Evolution · Quantitative Biology 2017-08-18 Masahiko Ueda , Nobuto Takeuchi , Kunihiko Kaneko

Most research on adaptive decision-making takes a strategy-first approach, proposing a method of solving a problem and then examining whether it can be implemented in the brain and in what environments it succeeds. We present a method for…

Neural and Evolutionary Computing · Computer Science 2015-09-21 Peter Kvam , Joseph Cesario , Jory Schossau , Heather Eisthen , Arend Hintze

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 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

Complex adaptive systems have been the subject of much recent attention. It is by now well-established that members (`agents') tend to self-segregate into opposing groups characterized by extreme behavior. However, while different social…

Condensed Matter · Physics 2009-11-07 Shahar Hod , Ehud Nakar

The mutual relationship between evolution and learning is a controversial argument among the artificial intelligence and neuro-evolution communities. After more than three decades, there is still no common agreement on the matter. In this…

Neural and Evolutionary Computing · Computer Science 2023-06-22 Paolo Pagliuca

We show that, if truth assignments on $n$ variables reproduce through recombination so that satisfaction of a particular Boolean function confers a small evolutionary advantage, then a polynomially large population over polynomially many…

Computational Complexity · Computer Science 2014-08-13 Adi Livnat , Christos Papadimitriou , Aviad Rubinstein , Gregory Valiant , Andrew Wan

Growing evidence suggests that many vertebrate lineages are evolving at significantly different rates. As a first approximation of evolutionary rates, we assessed the amount of neutral (dS) and non-neutral (dN) substitutions that have…

Genomics · Quantitative Biology 2013-02-12 Bianca Sclavi , John Herrick

We examine the dynamics of an age-structured population model in which the life expectancy of an offspring may be mutated with respect to that of the parent. While the total population of the system always reaches a steady state, the…

adap-org · Physics 2007-05-23 W. Hwang , P. L. Krapivsky , S. Redner