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This work presents a population genetic model of evolution, which includes haploid selection, mutation, recombination, and drift. The mutation-selection equilibrium can be expressed exactly in closed form for arbitrary fitness functions…

Populations and Evolution · Quantitative Biology 2023-02-28 Jenny M. Poulton , Lee Altenberg , Chris Watkins

Generative models derived from large protein sequence alignments define complex fitness landscapes, but their utility for accurately modeling non-equilibrium evolutionary dynamics remains unclear. In this work, we perform a rigorous…

Populations and Evolution · Quantitative Biology 2026-02-10 Leonardo Di Bari , Thierry Mora , Andrea Pagnani , Aleksandra M. Walczak , Francesco Zamponi , Saverio Rossi

Forecasting infectious disease incidence can provide important information to guide public health planning, yet is difficult because epidemic dynamics are complex. Current mechanistic and statistical approaches often struggle to capture…

Machine Learning · Computer Science 2026-04-29 Joseph Lemaitre , Justin Lessler

When predicting the fate and consequences of recurring deleterious mutations in self-fertilising populations most models developed make the assumption that populations have discrete non-overlapping generations. This makes them biologically…

Populations and Evolution · Quantitative Biology 2016-04-22 Diala Abu Awad , Viet-Chi Tran , Sylvain Billiard

We consider a stochastic evolutionary model for a phenotype developing amongst n related species with unknown phylogeny. The unknown tree is modelled by a Yule process conditioned on n contemporary nodes. The trait value is assumed to…

Populations and Evolution · Quantitative Biology 2020-11-23 Krzysztof Bartoszek , Serik Sagitov

We study a universal object for the genealogy of a sample in populations with mutations: the critical birth-death process with Poissonian mutations, conditioned on its population size at a fixed time horizon. We show how this process arises…

Probability · Mathematics 2014-07-30 G. Achaz , C. Delaporte , A. Lambert

We study the evolution of the population genealogy in the classic neutral Moran Model of finite size and in discrete time. The stochastic transformations that shape a Moran population can be realized directly on its genealogy and give rise…

Populations and Evolution · Quantitative Biology 2019-02-08 Johannes Wirtz , Thomas Wiehe

An evolutionary tree is a cascade of bifurcations starting from a single common root, generating a growing set of daughter species as time goes by. Species here is a general denomination for biological species, spoken languages or any other…

Quantitative Methods · Quantitative Biology 2013-08-26 Paulo Murilo Castro de Oliveira

Accurate and reliable predictions of infectious disease dynamics can be valuable to public health organizations that plan interventions to decrease or prevent disease transmission. A great variety of models have been developed for this…

Machine Learning · Statistics 2018-07-04 Evan L. Ray , Nicholas G. Reich

We introduce an age-structured asexual population model containing all the relevant features of evolutionary ageing theories. Beneficial as well as deleterious mutations, heredity and arbitrary fecundity are present and managed by natural…

Statistical Mechanics · Physics 2009-10-31 R. N. Onody , N. G. F. de Medeiros

Phylogenetic analyses based on small to moderately sized sets of sequential data lead to overestimating mutation rates in influenza hemagglutinin (HA) by at least an order of magnitude. Two major underlying reasons are: the incomplete…

Genomics · Quantitative Biology 2013-11-11 Jan P. Radomski , Piotr Płoński , Włodzimierz Zagórski-Ostoja

Influenza remains a significant burden on health systems. Effective responses rely on the timely understanding of the magnitude and the evolution of an outbreak. For monitoring purposes, data on severe cases of influenza in England are…

We applied machine learning to predict whether a gene is involved in axon regeneration. We extracted 31 features from different databases and trained five machine learning models. Our optimal model, a Random Forest Classifier with 50…

Machine Learning · Computer Science 2019-09-27 Haoze Wu , Yangyu Zhou

This study presents a family of stochastic models for the dynamics of influenza in a closed human population. We consider treatment for the disease in the form of vaccination, and incorporate the periods of effectiveness of the vaccine and…

Populations and Evolution · Quantitative Biology 2020-05-05 Divine Wanduku

We introduce a population dynamics model, where individual genomes are represented by bit-strings. Selection is described by death probabilities which depend on these genomes, and new individuals continuously replace the ones that die,…

Statistical Mechanics · Physics 2009-11-10 P. M. C. de Oliveira , J. S. Sa' Martins , D. Stauffer , S. Moss de Oliveira

We calculate the probability distribution of repetitions of ancestors in a genealogical tree for simple neutral models of a closed population with sexual reproduction and non-overlapping generations. Each ancestor at generation g in the…

Condensed Matter · Physics 2009-10-31 B. Derrida , S. C. Manrubia , D. H. Zanette

Cancers follow a clonal Darwinian evolution, with fitter subclones replacing more quiescent cells, ultimately giving rise to macroscopic disease. High-throughput genomics provides the opportunity to investigate these processes and determine…

Quantitative Methods · Quantitative Biology 2014-10-07 Sakellarios Zairis , Hossein Khiabanian , Andrew J. Blumberg , Raul Rabadan

We consider a population model where individuals behave independently from each other and whose genealogy is described by a chronological tree called splitting tree. The individuals have i.i.d. (non-exponential) lifetime durations and give…

Probability · Mathematics 2014-05-20 Mathieu Richard

Phylogenetic networks generalize phylogenetic trees by allowing the modelization of events of reticulate evolution. Among the different kinds of phylogenetic networks that have been proposed in the literature, the subclass of binary…

Data Structures and Algorithms · Computer Science 2020-07-01 Gabriel Cardona , Joan Carles Pons , Celine Scornavacca

We represent a process of learning by using bit strings, where 1-bits represent the knowledge acquired by individuals. Two ways of learning are considered: individual learning by trial-and-error; and social learning by copying knowledge…

Populations and Evolution · Quantitative Biology 2007-05-23 Armando Ticona Bustillos , Paulo Murilo C. de Oliveira