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The novel coronavirus (SARS-CoV-2) has led to a pandemic. The current testing regime based on Reverse Transcription-Polymerase Chain Reaction for SARS-CoV-2 has been unable to keep up with testing demands, and also suffers from a relatively…

We propose a mathematical model based on probability theory to optimize COVID-19 testing by a multi-step batch testing approach with variable batch sizes. This model and simulation tool dramatically increase the efficiency and efficacy of…

Methodology · Statistics 2021-01-11 Hongshik Ahn , Haoran Jiang , Xiaolin Li

We propose a new method to estimate the time-varying effective (or instantaneous) reproduction number of the novel coronavirus disease (COVID-19). The method is based on a discrete-time stochastic augmented compartmental model that…

Quantitative Methods · Quantitative Biology 2022-04-27 A. Hasan , H. Susanto , V. R. Tjahjono , R. Kusdiantara , E. R. M. Putri , P. Hadisoemarto , N. Nuraini

The cataclysmic contagion based calamity -- Covid-19 has shown us a clear need for a comprehensive community based strategy that overcomes the sheer complexity of controlling it and the caveats of current methods. In this regard, as seen in…

Physics and Society · Physics 2021-09-17 Surya Dheeshjith , Inavamsi Enaganti , Bud Mishra

We develop a statistical model for the testing of disease prevalence in a population. The model assumes a binary test result, positive or negative, but allows for biases in sample selection and both type I (false positive) and type II…

Applications · Statistics 2021-12-28 Lucas Böttcher , Maria R. D'Orsogna , Tom Chou

We argue that frequent sampling of the fraction of infected people (either by random testing or by analysis of sewage water), is central to managing the COVID-19 pandemic because it both measures in real time the key variable controlled by…

Populations and Evolution · Quantitative Biology 2020-07-24 Markus Müller , Peter M. Derlet , Christopher Mudry , Gabriel Aeppli

One of the central difficulties of addressing the COVID-19 pandemic has been accurately measuring and predicting the spread of infections. In particular, official COVID-19 case counts in the United States are under counts of actual…

Physics and Society · Physics 2024-05-20 Daniel Smolyak , Saad Abrar , Naman Awasthi , Vanessa Frias-Martinez

Background: Worldwide demand for SARS-CoV-2 RT-PCR testing is increasing as more countries are impacted by COVID-19 and as testing remains central to contain the spread of the disease, both in countries where the disease is emerging and in…

Quantitative Methods · Quantitative Biology 2020-06-05 Alexandra Martin , Alexandre Storto , Barbara Andre , Allison Mallory , Remi Dangla , Benoit Visseaux , Olivier Gossner

In identifying infected patients in a population, group testing is an effective method to reduce the number of tests and correct the test errors. In the group testing procedure, tests are performed on pools of specimens collected from…

Machine Learning · Statistics 2021-02-10 Ayaka Sakata

Pooled testing is a common strategy for public health disease screening under limited testing resources, allowing multiple biological samples to be tested together with the resources of a single test, at the cost of reduced individual…

Computer Science and Game Theory · Computer Science 2026-02-02 Nicholas Lopez , Francisco Marmolejo-Cossío , Jose Roberto Tello Ayala , David C. Parkes

Long-term care facilities have been widely affected by the COVID-19 pandemic. Retirement homes are particularly vulnerable due to the higher mortality risk of infected elderly individuals. Once an outbreak occurs, suppressing the spread of…

Optimization and Control · Mathematics 2022-04-06 Mansoor Davoodi , Ana Batista , Abhishek Senapati , Weronika Schlechte-Welnicz , Birgit Wagner , Justin M. Calabrese

We study the problem usually referred to as group testing in the context of COVID-19. Given n samples collected from patients, how should we select and test mixtures of samples to maximize information and minimize the number of tests? Group…

Machine Learning · Computer Science 2020-08-07 Louis Abraham , Gary Becigneul , Benjamin Coleman , Bernhard Scholkopf , Anshumali Shrivastava , Alexander Smola

To strengthen inferences meta analyses are commonly used to summarize information from a set of independent studies. In some cases, though, the data may not satisfy the assumptions underlying the meta analysis. Using three Bayesian methods…

Applications · Statistics 2022-04-07 Dexter Cahoy , Joseph Sedransk

Despite of the fast development of highly effective vaccines to control the current COVID$-$19 pandemic, the unequal distribution and availability of these vaccines worldwide and the number of people infected in the world lead to the…

The study in group testing aims to develop strategies to identify a small set of defective items among a large population using a few pooled tests. The established techniques have been highly beneficial in a broad spectrum of applications…

Information Theory · Computer Science 2025-01-23 Venkata Gandikota , Nikita Polyanskii , Haodong Yang

As a reaction to the pandemic of the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), a multitude of clinical trials for the treatment of SARS-CoV-2 or the resulting corona disease (COVID-19) are globally at various stages from…

Applications · Statistics 2020-12-04 Jan Beyersmann , Tim Friede , Claudia Schmoor

Repeat asymptomatic testing in order to identify and quarantine infectious individuals has become a widely-used intervention to control SARS-CoV-2 transmission. In some workplaces, and in particular health and social care settings with…

Populations and Evolution · Quantitative Biology 2022-10-18 Carl A Whitfield , University of Manchester COVID-19 Modelling Group , Ian Hall

Estimating the prevalence of a disease is necessary for evaluating and mitigating risks of its transmission within or between populations. Estimates that consider how prevalence changes with time provide more information about these risks…

Applications · Statistics 2021-11-12 Braden Scherting , Alison Peel , Raina Plowright , Andrew Hoegh

The pandemic of COVID-19 has imposed tremendous pressure on public health systems and social economic ecosystems over the past years. To alleviate its social impact, it is important to proactively track the prevalence of COVID-19 within…

Polymerase chain reaction (PCR) testing is the gold standard for diagnosing COVID-19. PCR amplifies the virus DNA 40 times to produce measurements of viral loads that span seven orders of magnitude. Unfortunately, the outputs of these tests…

Quantitative Methods · Quantitative Biology 2022-01-19 Hsin-Po Wang , Ryan Gabrys , Alexander Vardy