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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

With the increasing spread of COVID-19, it is important to systematically test more and more people. The current strategy for test-kit allocation is mostly rule-based, focusing on individuals having (a) symptoms for COVID-19, (b) travel…

Artificial Intelligence · Computer Science 2020-04-07 Arpita Biswas , Shruthi Bannur , Prateek Jain , Srujana Merugu

In one-stage or non-adaptive group testing, instead of testing every sample unit individually, they are split, bundled in pools, and simultaneously tested. The results are then decoded to infer the states of the individual items. This…

Applications · Statistics 2020-12-04 Christoph Schumacher , Matthias Täufer

Despite the introduction of vaccines, Coronavirus disease (COVID-19) remains a worldwide dilemma, continuously developing new variants such as Delta and the recent Omicron. The current standard for testing is through polymerase chain…

Image and Video Processing · Electrical Eng. & Systems 2022-01-28 Ibraheem Hamdi , Muhammad Ridzuan , Mohammad Yaqub

The group testing problem is concerned with identifying a small number $k \sim n^\theta$ for $\theta \in (0,1)$ of infected individuals in a large population of size $n$. At our disposal is a testing procedure that allows us to test groups…

Discrete Mathematics · Computer Science 2019-11-19 Max Hahn-Klimroth , Philipp Loick

Confronting the pandemic of COVID-19, is nowadays one of the most prominent challenges of the human species. A key factor in slowing down the virus propagation is the rapid diagnosis and isolation of infected patients. The standard method…

Image and Video Processing · Electrical Eng. & Systems 2021-04-27 Eduardo Luz , Pedro Lopes Silva , Rodrigo Silva , Ludmila Silva , Gladston Moreira , David Menotti

Pooled testing offers an efficient solution to the unprecedented testing demands of the COVID-19 pandemic, although with potentially lower sensitivity and increased costs to implementation in some settings. Assessments of this trade-off…

Applications · Statistics 2021-07-13 Saskia Comess , Hannah Wang , Susan Holmes , Claire Donnat

Through the use of cutting-edge unsupervised classification techniques from statistics and machine learning, we characterise symptom phenotypes among symptomatic SARS-CoV-2 PCR-positive community cases. We first analyse each dataset in…

In the group testing problem the aim is to identify a small set of $k\sim n^\theta$ infected individuals out of a population size $n$, $0<\theta<1$. We avail ourselves of a test procedure capable of testing groups of individuals, with the…

Discrete Mathematics · Computer Science 2021-05-14 Amin Coja-Oghlan , Oliver Gebhard , Max Hahn-Klimroth , Philipp Loick

In light of the continuous transmission and evolution of SARS-CoV-2 coupled with a significant decline in clinical testing, there is a pressing need for scalable, cost-effective, long-term, passive surveillance tools to effectively monitor…

An analytical study of the disease COVID-19 in Colombia was carried out using mathematical models such as Susceptible-Exposed-Infectious-Removed (SEIR), Logistic Regression (LR), and a machine learning method called Polynomial Regression…

The outbreak of the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) threatens global medical systems and economies, and rules our daily living life. Controlling the outbreak of SARS-CoV-2 has become one of the most important…

Medical Physics · Physics 2020-10-09 Jing Zhong , Enja Laureen Roesch , Thilo Viereck , Meinhard Schilling , Frank Ludwig

Group testing enables to identify infected individuals in a population using a smaller number of tests than individual testing. To achieve this, group testing algorithms commonly assume knowledge of the number of infected individuals;…

Information Theory · Computer Science 2023-05-16 Chaorui Yao , Pavlos Nikolopoulos , Christina Fragouli

In comparative studies, such as in causal inference and clinical trials, balancing important covariates is often one of the most important concerns for both efficient and credible comparison. However, chance imbalance still exists in many…

Methodology · Statistics 2018-07-30 Yichen Qin , Yang Li , Wei Ma , Feifang Hu

Among the challenges that the COVID-19 pandemic outbreak revealed is the problem to reduce the number of tests required for identifying the virus carriers in order to contain the viral spread while preserving the tests reliability. To cope…

Information Theory · Computer Science 2021-12-24 Catherine A. Haddad-Zaaknoon

With recent advances in sequencing technology it has become affordable and practical to sequence genomes to very high depth-of-coverage, allowing researchers to discover low-frequency variants in the genome. However, due to the errors in…

Genomics · Quantitative Biology 2021-05-10 Bryce Kille , Yunxi Liu , Nicolae Sapoval , Michael Nute , Lawrence Rauchwerger , Nancy Amato , Todd J. Treangen

Group testing can save testing resources in the context of the ongoing COVID-19 pandemic. In group testing, we are given $n$ samples, one per individual, and arrange them into $m < n$ pooled samples, where each pool is obtained by mixing a…

Applications · Statistics 2023-11-03 Ritesh Goenka , Shu-Jie Cao , Chau-Wai Wong , Ajit Rajwade , Dror Baron

With the ongoing global pandemic of coronavirus disease 2019 (COVID-19), there is an increasing quest for more accessible, easy-to-use, rapid, inexpensive, and high accuracy diagnostic tools. Traditional disease diagnostic methods such as…

Since December 2019 the novel coronavirus SARS-CoV-2 has been identified as the cause of the pandemic COVID-19. Early symptoms overlap with other common conditions such as common cold and Influenza, making early screening and diagnosis are…

The usual development cycles are too slow for the development of vaccines, diagnostics and treatments in pandemics such as the ongoing SARS-CoV-2 pandemic. Given the pressure in such a situation, there is a risk that findings of early…

Applications · Statistics 2020-10-12 Sarah Friedrich , Tim Friede
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