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Early estimates of the transmission potential of emerging and re-emerging infections are increasingly used to inform public health authorities on the level of risk posed by outbreaks. Existing methods to estimate the reproduction number…

Quantitative Methods · Quantitative Biology 2016-10-10 Gerardo Chowell , Cécile Viboud , Lone Simonsen , Seyed Moghadas

The expected number of secondary infections arising from each index case, referred to as the reproduction or $R$ number, is a vital summary statistic for understanding and managing epidemic diseases. There are many methods for estimating…

Applications · Statistics 2022-02-22 Joe Meagher , Nial Friel

Branching process inspired models are widely used to estimate the effective reproduction number -- a useful summary statistic describing an infectious disease outbreak -- using counts of new cases. Case data is a real-time indicator of…

Methodology · Statistics 2023-10-03 Isaac H. Goldstein , Jon Wakefield , Volodymyr M. Minin

The evolution of epidemiological parameters, such as instantaneous reproduction number Rt, is important for understanding the transmission dynamics of infectious diseases. Current estimates of time-varying epidemiological parameters often…

Applications · Statistics 2021-10-26 Xian Yang , Shuo Wang , Yuting Xing , Ling Li , Richard Yi Da Xu , Karl J. Friston , Yike Guo

This article introduces epidemia, an R package for Bayesian, regression-oriented modeling of infectious diseases. The implemented models define a likelihood for all observed data while also explicitly modeling transmission dynamics: an…

The time-dependent reproduction number Rt can be used to track pathogen transmission and to assess the efficacy of interventions. This quantity can be estimated by fitting renewal equation models to time series of infectious disease case…

Populations and Evolution · Quantitative Biology 2025-01-30 Ioana Bouros , Robin Thompson , David Gavaghan , Ben Lambert

Within epidemiological modeling, the majority of analyses assume a single epidemic process for generating ground-truth data. However, this assumed data generation process can be unrealistic, since data sources for epidemics are often…

Artificial Intelligence · Computer Science 2021-06-22 Anna L. Trella , Peniel N. Argaw , Michelle M. Li , James A. Hay

Infectious disease dynamics operate across multiple biological scales, with within-host viral dynamics being a key driver of between-host transmission. However, while models that explicitly link these scales exist, none have been developed…

Applications · Statistics 2026-04-23 Dylan J. Morris , Lauren Kennedy , Andrew J. Black

We define data analyses to monitor a change in R, the average number of secondary cases caused by a typical infected individual. The input dataset consists of incident cases partitioned into outbreaks, each initiated from a single index…

Populations and Evolution · Quantitative Biology 2016-04-27 Pavel Polyakov , Romulus Breban

The transmission dynamics of an epidemic are rarely homogeneous. Super-spreading events and super-spreading individuals are two types of heterogeneous transmissibility. Inference of super-spreading is commonly carried out on secondary case…

Quantitative Methods · Quantitative Biology 2025-01-23 Hannah Craddock , Simon EF Spencer , Xavier Didelot

Timely estimation of the current value for COVID-19 reproduction factor $R$ has become a key aim of efforts to inform management strategies. $R$ is an important metric used by policy-makers in setting mitigation levels and is also important…

Populations and Evolution · Quantitative Biology 2020-05-26 Carlo R. Contaldi

We tackle limitations of ordinary differential equation-driven Susceptible-Infections-Removed (SIR) models and their extensions that have recently be employed for epidemic nowcasting and forecasting. In particular, we deal with challenges…

Computation · Statistics 2026-02-10 Angelos Alexopoulos , Paul Birrell , Daniela De Angelis

Understanding how stochastic gene expression is regulated in biological systems using snapshots of single-cell transcripts requires state-of-the-art methods of computational analysis and statistical inference. A Bayesian approach to…

Quantitative Methods · Quantitative Biology 2018-12-10 Yen Ting Lin , Nicolas E. Buchler

We propose a new statistical approach to obtain differential gene expression of non-detects in quantitative real-time PCR (qPCR) experiments through Bayesian hierarchical modeling. We propose to treat non-detects as non-random missing data,…

Applications · Statistics 2019-10-31 Valeriia Sherina , Matthew N. McCall , Tanzy M. T. Love

The reconstruction of missing information in epidemic spreading on contact networks can be essential in the prevention and containment strategies. The identification and warning of infectious but asymptomatic individuals (i.e., contact…

Social and Information Networks · Computer Science 2022-11-21 Indaco Biazzo , Alfredo Braunstein , Luca Dall'Asta , Fabio Mazza

To identify novel dynamic patterns of gene expression, we develop a statistical method to cluster noisy measurements of gene expression collected from multiple replicates at multiple time points, with an unknown number of clusters. We…

Applications · Statistics 2013-12-02 Audrey Qiuyan Fu , Steven Russell , Sarah J. Bray , Simon Tavaré

This paper deals with the problem of estimating variables in nonlinear models for the spread of disease and its application to the COVID-19 epidemic. First unconstrained methods are revisited and they are shown to correspond to the…

Optimization and Control · Mathematics 2020-08-20 Mauricio C. de Oliveira

Reconstructing transmission networks is essential for identifying key factors like superspreaders and high-risk locations, which are critical for developing effective pandemic prevention strategies. In this study, we developed a Bayesian…

Quantitative Methods · Quantitative Biology 2024-09-10 Jianing Xu , Huimin Hu , Gregory Ellison , Lili Yu , Christopher Whalen , Liang Liu

Inference of the reproduction number through time is of vital importance during an epidemic outbreak. Typically, epidemiologists tackle this using observed prevalence or incidence data. However, prevalence and incidence data alone is often…

Methodology · Statistics 2026-03-16 Alicia Gill , Jere Koskela , Xavier Didelot , Richard G. Everitt

In this paper, we consider a discrete-time stochastic SIR model, where the transmission rate and the true number of infectious individuals are random and unobservable. An advantage of this model is that it permits us to account for random…

Physics and Society · Physics 2024-01-30 Katia Colaneri , Camilla Damian , Rüdiger Frey