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Estimating population-level prevalence and transmission dynamics of wildlife pathogens can be challenging, partly because surveillance data is sparse, detection-driven, and unevenly sequenced. Using highly pathogenic avian influenza A/H5…

Populations and Evolution · Quantitative Biology 2026-01-16 Haley Stone , Jing Du , Yang Yang , Ashna Desai , Rebecca Dawson , Hao Xue , David Heslop , Matthew Scotch , Andreas Züfle , C. Raina MacIntyre , Flora Salim

We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population…

Probability · Mathematics 2016-08-16 Nicolas Champagnat , Régis Ferrière , Sylvie Méléard

Likelihood-based methods are widely considered the best approaches for reconstructing ancestral states. Although much effort has been made to study properties of these methods, previous works often assume that both the tree topology and…

Methodology · Statistics 2021-04-02 Lam Si Tung Ho , Edward Susko

Reconstructing the tree of life from molecular sequences is a fundamental problem in computational biology. Modern data sets often contain a large number of genes, which can complicate the reconstruction problem due to the fact that…

Probability · Mathematics 2017-07-21 Constantinos Daskalakis , Sebastien Roch

This article reviews quantitative methods to estimate the basic reproduction number of pandemic influenza, a key threshold quantity to help determine the intensity of interventions required to control the disease. Although it is difficult…

Populations and Evolution · Quantitative Biology 2009-11-13 Gerardo Chowell , Hiroshi Nishiura

Phylogenetics is now fundamental in life sciences, providing insights into the earliest branches of life and the origins and spread of epidemics. However, finding suitable phylogenies from the vast space of possible trees remains…

Populations and Evolution · Quantitative Biology 2024-01-24 Matthew J Penn , Neil Scheidwasser , Joseph Penn , Christl A Donnelly , David A Duchêne , Samir Bhatt

In an extant population, how much information do extant individuals provide on the pedigree of their ancestors? Recent work by Kim, Mossel, Ramnarayan and Turner (2020) studied this question under a number of simplifying assumptions,…

Populations and Evolution · Quantitative Biology 2022-11-29 Elchanan Mossel , David Vulakh

In a population with haploid reproduction any individual has a single parent in the previous generation. If all genealogical distances among pairs of individuals (generations from the closest common ancestor) are known it is possible to…

Populations and Evolution · Quantitative Biology 2015-05-13 Luce Prignano , Maurizio Serva

Phenological timing -- i.e. the course of annually recurring development stages in nature -- is of particular interest since it can be understood as a proxy for the climate at a specific region; moreover changes in the so called…

Biological Physics · Physics 2014-09-15 Diego Rybski , Anne Holsten , Jürgen P. Kropp

Human populations have a complex history of introgression and of changing population size. Human genetic variation has been affected by both these processes, so that inference of past population size depends upon the pattern of gene flow…

Populations and Evolution · Quantitative Biology 2017-03-29 John Hawks

The seasonality of respiratory diseases (common cold, influenza, etc.) is a well-known phenomenon studied from ancient times. The development of predictive models is still not only an actual unsolved problem of mathematical epidemiology but…

Populations and Evolution · Quantitative Biology 2014-04-28 Eugene B. Postnikov , Dmitry V. Tatarenkov

We consider a model of a population of fixed size $N$ undergoing selection. Each individual acquires beneficial mutations at rate $\mu_N$, and each beneficial mutation increases the individual's fitness by $s_N$. Each individual dies at…

Probability · Mathematics 2015-07-03 Jason Schweinsberg

Predicting cross-immunity between viral strains is vital for public health surveillance and vaccine development. Traditional neural network methods, such as BiLSTM, could be ineffective due to the lack of lab data for model training and the…

Computational Engineering, Finance, and Science · Computer Science 2023-10-18 Yiming Du , Zhuotian Li , Qian He , Thomas Wetere Tulu , Kei Hang Katie Chan , Lin Wang , Sen Pei , Zhanwei Du , Xiao-Ke Xu , Xiao Fan Liu

We study a population of $N$ individuals evolving according to a biparental Moran model with two types, one being advantaged compared to the other. The advantage is conferred by a Mendelian mutation, which reduces the death probability of…

Probability · Mathematics 2026-03-24 Camille Coron , Yves Le Jan

A biologically motivated individual-based framework for evolution in network-structured populations is developed that can accommodate eco-evolutionary dynamics. This framework is used to construct a network birth and death model. The…

Populations and Evolution · Quantitative Biology 2021-03-19 Karan Pattni , Christopher E. Overton , Kieran J. Sharkey

Although extensive behavioral changes often exist between closely related animal species, our understanding of the genetic basis underlying the evolution of behavior has remained limited. Here, we propose a new framework to study behavioral…

Populations and Evolution · Quantitative Biology 2020-07-21 Damián G. Hernández , Catalina Rivera , Jessica Cande , Baohua Zhou , David L. Stern , Gordon J. Berman

We study a continuous time model for the frequency distribution of an infinitely large asexual population in which both beneficial and deleterious mutations occur and the fitness is additive. When beneficial mutations are ignored, the exact…

Populations and Evolution · Quantitative Biology 2016-10-27 Kavita Jain , Sona John

Phylogenetic trees are widely used to understand the evolutionary history of organisms. Tree shapes provide information about macroevolutionary processes. However, macroevolutionary models are unreliable for inferring the true processes…

Populations and Evolution · Quantitative Biology 2021-10-11 Albert Ch. Soewongsono , Barbara R. Holland , Małgorzata M. O'Reilly

An ongoing debate in evolutionary biology is whether phenotypic change occurs predominantly around the time of speciation or whether it instead accumulates gradually over time. In this work I propose a general framework incorporating both…

Populations and Evolution · Quantitative Biology 2014-07-02 Krzysztof Bartoszek

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