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There are multiple testing methods to ascertain an infection in an individual and they vary in their performances, cost and delay. Unfortunately, better performing tests are sometimes costlier and time consuming and can only be done for a…

Social and Information Networks · Computer Science 2021-06-17 Harish Sasikumar , Manoj Varma

Efficient personnel scheduling plays a significant role in matching workload demand in organizations. However, staff scheduling is sometimes affected by unexpected events, such as the COVID-19 pandemic, that disrupt regular operations.…

Optimization and Control · Mathematics 2023-01-10 Mansoor Davoodi , Ana Batista , Abhishek Senapati , Justin M. Calabrese

In pandemics or epidemics, public health authorities need to rapidly test a large number of individuals, both to determine the line of treatment as well as to know the spread of infection to plan containment, mitigation and future…

Other Quantitative Biology · Quantitative Biology 2020-03-31 Tarun Jain , Bijendra Nath Jain

When testing for a disease such as COVID-19, the standard method is individual testing: we take a sample from each individual and test these samples separately. An alternative is pooled testing (or "group testing"), where samples are mixed…

Applications · Statistics 2021-12-14 Matthew Aldridge , David Ellis

We propose a novel testing and containment strategy in order to contain the spread of SARS-CoV2 while permitting large parts of the population to resume social and economic activity. Our approach recognises the fact that testing capacities…

Populations and Evolution · Quantitative Biology 2020-04-29 Jakob Jonnerby , Philip Lazos , Edwin Lock , Francisco Marmolejo-Cossío , C. Bronk Ramsey , Meghana Shukla , Divya Sridhar

To make informative public policy decisions in battling the ongoing COVID-19 pandemic, it is important to know the disease prevalence in a population. There are two intertwined difficulties in estimating this prevalence based on testing…

Methodology · Statistics 2020-12-01 Bryan Cai , John P. A. Ioannidis , Eran Bendavid , Lu Tian

We consider a novel method to increase the reliability of COVID-19 virus or antibody tests by using specially designed pooled testings. Instead of testing nasal swab or blood samples from individual persons, we propose to test mixtures of…

Quantitative Methods · Quantitative Biology 2020-07-30 Jirong Yi , Myung Cho , Xiaodong Wu , Weiyu Xu , Raghu Mudumbai

Monte Carlo methods to evaluate and maximize the likelihood function enable the construction of confidence intervals and hypothesis tests, facilitating scientific investigation using models for which the likelihood function is intractable.…

Methodology · Statistics 2017-02-13 Edward L. Ionides , Carles Breto , Joonha Park , Richard A. Smith , Aaron A. King

In this study, we present a new epidemiological model, with contamination from confirmed and unreported. We also compute equilibria and study their stability without intervention strategies. Optimal control theory has proven to be a…

Populations and Evolution · Quantitative Biology 2020-08-14 Fulgence Mansal , Mouhamadou A. M. T. Baldé , Alpha O. Bah

In early clinical test evaluations the potential benefits of the introduction of a new technology into the healthcare system are assessed in the challenging situation of limited available empirical data. The aim of these evaluations is to…

Applications · Statistics 2020-05-21 Sara Graziadio , Kevin J. Wilson

Multiple hypothesis testing is widely used to evaluate scientific studies involving statistical tests. However, for many of these tests, p-values are not available and are thus often approximated using Monte Carlo tests such as permutation…

Applications · Statistics 2018-10-17 Axel Gandy , Georg Hahn

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

Testing individuals for pathogens can affect the spread of epidemics. Understanding how individual-level processes of sampling and reporting test results can affect community- or population-level spread is a dynamical modeling question. The…

Populations and Evolution · Quantitative Biology 2021-07-20 Ali Gharouni , F. M. Abdelmalek , David J. D. Earn , Jonathan Dushoff , Benjamin M. Bolker

The COVID-19 pandemic has led to significant changes in how people are currently living their lives. To determine how to best reduce the effects of the pandemic and start reopening societies, governments have drawn insights from…

Other Quantitative Biology · Quantitative Biology 2020-09-08 Heather Z. Brooks , Unchitta Kanjanasaratool , Yacoub H. Kureh , Mason A. Porter

We study the problem usually referred to as group testing in the context of COVID-19. Given $n$ samples taken from patients, how should we select mixtures of samples to be tested, so as to maximize information and minimize the number of…

Methodology · Statistics 2020-05-14 Louis Abraham , Gary Bécigneul , Bernhard Schölkopf

COVID-19 has resulted in a global health crisis that may become even more acute over the upcoming months. One of the main reasons behind the current rapid growth of COVID-19 in the U.S. population is the limited availability of testing kits…

Information Theory · Computer Science 2020-04-13 Krishna R. Narayanan , Anoosheh Heidarzadeh , Ramanan Laxminarayan

This paper is based on the observation that, during Covid-19 epidemic, the choice of which individuals should be tested has an important impact on the effectiveness of selective confinement measures. This decision problem is closely related…

Physics and Society · Physics 2020-12-24 Matthias Pezzutto , Nicolas Bono Rossello , Luca Schenato , Emanuele Garone

Contact tracing is one of the most important tools for preventing the spread of infectious diseases, but as the experience of COVID-19 showed, it is also next-to-impossible to implement when the disease is spreading rapidly. We show how to…

Methodology · Statistics 2023-12-12 Aparajithan Venkateswaran , Jishnu Das , Tyler H. McCormick

The group testing approach that achieves significant cost reduction over the individual testing approach has received a lot of interest lately for massive testing of COVID-19. Many studies simply assume samples mixed in a group are…

Methodology · Statistics 2021-11-12 Yi-Jheng Lin , Che-Hao Yu , Tzu-Hsuan Liu , Cheng-Shang Chang , Wen-Tsuen Chen

We have a large number of samples and we want to find the infected ones using as few number of tests as possible. We can use group testing which tells about a small group of people whether at least one of them is infected. Group testing is…

Quantitative Methods · Quantitative Biology 2020-05-07 Endre Csóka