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In the last decade the broad scope of complex networks has led to a rapid progress. In this area a particular interest has the study of community structures. The analysis of this type of structure requires the formalization of the intuitive…

Information Retrieval · Computer Science 2009-12-07 Vincenza Carchiolo , Alessandro Longheu , Michele Malgeri , Giuseppe Mangioni

We define a general class of models representing natural selection between two alleles. The population size and spatial structure are arbitrary, but fixed. Genetics can be haploid, diploid, or otherwise; reproduction can be asexual or…

Populations and Evolution · Quantitative Biology 2021-02-05 Benjamin Allen , Alex McAvoy

A probability model is presented for the dynamics of mutation-selection balance in a haploid infinite-population infinite-sites setting sufficiently general to cover mutation-driven changes in full age-specific demographic schedules. The…

Populations and Evolution · Quantitative Biology 2007-05-23 David Steinsaltz , Steven N. Evans , Kenneth W. Wachter

The goal of this article is to contribute towards the conceptual and quantitative understanding of the evolutionary benefits for (microbial) populations to maintain a seed bank (consisting of dormant individuals) when facing fluctuating…

Probability · Mathematics 2024-07-02 Jochen Blath , Felix Hermann , Martin Slowik

In species reproducing both sexually and asexually clones are often more common in recently established populations. Earlier studies have suggested that this pattern arises from natural selection favouring asexual recruitment in young…

Populations and Evolution · Quantitative Biology 2017-12-06 M. Rafajlovic , D. Kleinhans , C. Gulliksson , J. Fries , D. Johansson , A. Ardehed , L. Sundqvist , R. T. Pereyra , B. Mehlig , P. R. Jonsson , K. Johannesson

The social organization of microorganisms has long been a fascinating and challenging subject in both biology and sociology. In these organisms, the role of the individual is far less dominant than that of the community, which functions as…

Biological Physics · Physics 2025-03-05 Eleonora Alfinito , Matteo Beccaria

In most of the recent immunological literature the differences across antigen receptor populations are examined via non-parametric statistical measures of species overlap and diversity borrowed from ecological studies. While this approach…

Biomolecules · Quantitative Biology 2010-03-05 Grzegorz A. Rempala , Michal Seweryn , Leszek Ignatowicz

There is currently a renewed interest in the Bayesian predictive approach to statistics. This paper offers a review on foundational concepts and focuses on predictive modeling, which by directly reasoning on prediction, bypasses inferential…

Statistics Theory · Mathematics 2024-11-22 Sandra Fortini , Sonia Petrone

We consider the accumulation of beneficial and deleterious mutations in large asexual populations. The rate of adaptation is affected by the total mutation rate, proportion of beneficial mutations and population size $N$. We show that…

Probability · Mathematics 2010-10-18 Feng Yu , Alison Etheridge , Charles Cuthbertson

Time evolutions of number of cities, population of cities, world population, and size distribution of present languages are studied in terms of a new model, where population of each city increases by a random rate and decreases by a random…

Physics and Society · Physics 2016-12-27 Caglar Tuncay

We study the large population limit of a stochastic individual-based model which describes the time evolution of a diploid hermaphroditic population reproducing according to Mendelian rules. In [Neukirch, Bovier, 2016] it is proved that…

Probability · Mathematics 2018-01-23 Anton Bovier , Loren Coquille , Rebecca Neukirch

In the genomic era, the identification of gene signatures associated with disease is of significant interest. Such signatures are often used to predict clinical outcomes in new patients and aid clinical decision-making. However, recent…

Methodology · Statistics 2019-03-27 Naim U. Rashid , Quefeng Li , Jen Jen Yeh , Joseph G. Ibrahim

Ethnocentrism is a behavioral strategy seen on every scale of social interaction. Game-theory models demonstrate that evolution selects ethnocentrism because it boosts cooperation, which increases reproductive fitness. However, some believe…

Populations and Evolution · Quantitative Biology 2015-05-01 Caitlin J. Mouri , Thomas R. Shultz

We evolve binary mux-6 trees for up to 100000 generations evolving some programs with more than a hundred million nodes. Our unbounded Long-Term Evolution Experiment LTEE GP appears not to evolve building blocks but does suggests a limit to…

Neural and Evolutionary Computing · Computer Science 2017-03-27 W. B. Langdon

Consider a supercritical birth and death process where the children acquire mutations. We study the mutation rates along the ancestral lineages in a sample of size $n$ from the population at time $T$. The mutation rate is time-inhomogenous…

Probability · Mathematics 2024-02-27 Yubo Shuai

In many biological networks the responses of individual elements are ambiguous. We consider a scenario in which many sensors respond to a shared signal, each with limited information capacity, and ask that the outputs together convey as…

Biological Physics · Physics 2025-12-30 Marianne Bauer , William Bialek

An asymmetric exclusion model on an open chain with random rates for hopping particles, where overtaking is also possible, is studied numerically and by computer simulation. The phase structure of the model and the density profiles near the…

Statistical Mechanics · Physics 2007-05-23 A. Tonddast-Navaei , V. Karimipour , M. R. Ejtehadi

The biological world, especially its majority microbial component, is strongly interacting and may be dominated by collective effects. In this review, we provide a brief introduction for statistical physicists of the way in which living…

Populations and Evolution · Quantitative Biology 2015-05-20 Nicholas Chia , Nigel Goldenfeld

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

Genetic data are often used to infer demographic history and changes or detect genes under selection. Inferential methods are commonly based on models making various strong assumptions: demography and population structures are supposed…

Populations and Evolution · Quantitative Biology 2020-07-28 Clotilde Lepers , Sylvain Billiard , Matthieu Porte , Sylvie Méléard , Viet Chi Tran