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Throughout the course of an epidemic, the rate at which disease spreads varies with behavioral changes, the emergence of new disease variants, and the introduction of mitigation policies. Estimating such changes in transmission rates can…

Methodology · Statistics 2022-11-29 Jenny Huang , Raphaël Morsomme , David Dunson , Jason Xu

Having a precise knowledge of the dispersal ability of a population in a heterogeneous environment is of critical importance in agroecology and conservation biology as it can provide management tools to limit the effects of pests or to…

Populations and Evolution · Quantitative Biology 2015-03-19 L. Roques , E. Walker , P. Franck , S. Soubeyrand , E. K. Klein

The challenges posed by complex stochastic models used in computational ecology, biology and genetics have stimulated the development of approximate approaches to statistical inference. Here we focus on Synthetic Likelihood (SL), a…

Methodology · Statistics 2017-06-09 Matteo Fasiolo , Simon N. Wood , Florian Hartig , Mark V. Bravington

We study epidemic models where the infectivity of each individual is a random function of the infection age (the elapsed time of infection). To describe the epidemic evolution dynamics, we use a stochastic process that tracks the number of…

Probability · Mathematics 2023-01-02 Guodong Pang , Etienne Pardoux

High-throughput sequencing allows the detection and quantification of frequencies of somatic single nucleotide variants (SNV) in heterogeneous tumor cell populations. In some cases, the evolutionary history and population frequency of the…

Machine Learning · Computer Science 2013-11-05 Wei Jiao , Shankar Vembu , Amit G. Deshwar , Lincoln Stein , Quaid Morris

Infectious diseases remain one of the major causes of human mortality and suffering. Mathematical models have been established as an important tool for capturing the features that drive the spread of the disease, predicting the progression…

Probability estimation of tree topologies is one of the fundamental tasks in phylogenetic inference. The recently proposed subsplit Bayesian networks (SBNs) provide a powerful probabilistic graphical model for tree topology probability…

Populations and Evolution · Quantitative Biology 2024-09-10 Tianyu Xie , Musu Yuan , Minghua Deng , Cheng Zhang

Genetic sequence data of pathogens are increasingly used to investigate transmission dynamics in both endemic diseases and disease outbreaks; such research can aid in development of appropriate interventions and in design of studies to…

Quantitative Methods · Quantitative Biology 2018-01-24 Hesam Montazeri , Susan Little , Niko Beerenwinkel , Victor DeGruttola

Approximate Bayesian inference on the basis of summary statistics is well-suited to complex problems for which the likelihood is either mathematically or computationally intractable. However the methods that use rejection suffer from the…

Computation · Statistics 2010-05-04 M. G. B. Blum , O. Francois

We describe a continuous-time modelling framework for biological population dynamics that accounts for demographic noise. In the spirit of the methodology used by statistical physicists, transitions between the states of the system are…

Populations and Evolution · Quantitative Biology 2018-07-19 George W. A. Constable , Alan J. McKane

Containing the recent West African outbreak of Ebola virus (EBOV) required the deployment of substantial global resources. Operationally, health workers and surveillance teams treated cases, collected genetic samples, and tracked case…

Populations and Evolution · Quantitative Biology 2017-12-13 Kyle B. Gustafson , Joshua L. Proctor

Phenomenological models are highly effective tools for forecasting disease dynamics using real world data, particularly in scenarios where detailed knowledge of disease mechanisms is limited. However, their reliability depends on the model…

Quantitative Methods · Quantitative Biology 2025-03-31 Yuganthi R. Liyanage , Gerardo Chowell , Gleb Pogudin , Necibe Tuncer

This paper introduces PhyloLM, a method adapting phylogenetic algorithms to Large Language Models (LLMs) to explore whether and how they relate to each other and to predict their performance characteristics. Our method calculates a…

Computation and Language · Computer Science 2025-12-09 Nicolas Yax , Pierre-Yves Oudeyer , Stefano Palminteri

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

A phylogenetic tree is an important way in Bioinformatics to find the evolutionary relationship among biological species. In this research, a proposed model is described for the estimation of a phylogenetic tree for a given set of data. To…

Populations and Evolution · Quantitative Biology 2025-09-03 S M Rafiuddin

Phylogenomics, even more so than traditional phylogenetics, needs to represent the uncertainty in evolutionary trees due to systematic error. Here we illustrate the analysis of genome-scale alignments of yeast, using robust measures of the…

Populations and Evolution · Quantitative Biology 2009-12-31 Peter J. Waddell , Ariful Azad

Cholera continues to be a global health threat. Understanding how cholera spreads between locations is fundamental to the rational, evidence-based design of intervention and control efforts. Traditionally, cholera transmission models have…

Populations of isogenic embryonic stem cells or clonal bacteria often exhibit extensive phenotypic heterogeneity which arises from stochastic intrinsic dynamics of cells. The internal state of the cell can be transmitted epigenetically in…

Populations and Evolution · Quantitative Biology 2016-02-17 Sahand Hormoz , Nicolas Desprat , Boris I. Shraiman

Many biological studies involve inferring the evolutionary history of a sample of individuals from a large population and interpreting the reconstructed tree. Such an ascertained tree typically represents only a small part of a…

Populations and Evolution · Quantitative Biology 2024-08-13 Michael Celentano , William S. DeWitt , Sebastian Prillo , Yun S. Song

We investigate a simple quantitative genetics model subjet to a gradual environmental change from the viewpoint of the phylogenies of the living individuals. We aim to understand better how the past traits of their ancestors are shaped by…

Probability · Mathematics 2021-04-22 Vincent Calvez , Benoît Henry , Sylvie Méléard , Viet Chi Tran