Resources Repository
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Resource PortalWeb Portal, Teaching Resource 2024Millennium Mathematics Project (MMP)
The Millennium Mathematics Project (MMP), a collaboration between the Faculties of Mathematics and Education at the …
The Millennium Mathematics Project (MMP), a collaboration between the Faculties of Mathematics and Education at the University of Cambridge, is a maths education and outreach initiative for ages 3 to 19 and the general public. The focus is on increasing mathematical understanding, confidence and enjoyment, developing problem-solving skills, and promoting creative and imaginative approaches to maths. The project consists of a family of complementary programmes, including the NRICH website, Plus online mathematics magazine, Wild Maths, and…
Probability/Bayes | Environmental Health | Infectious Diseases | Test Performance | Mathematical Models | Decision Analysis | Risk Analysis | Child/Nutrition | Health/Medicine | Science/Technology | Europe | High School | College | Graphics/Visualization | Quantitative Literacy -
ArticlePublication 2021New Microsimulation Models to Inform Cervical Cancer Control
Health decision models consider the lifetime natural history of human papillomavirus (HPV) infection and pathogenesis …
Health decision models consider the lifetime natural history of human papillomavirus (HPV) infection and pathogenesis of cervical cancer, and estimate the long-term impact of preventive interventions. We propose a new health decision modeling framework that de-emphasizes previously used cytologic-colposcopic-histologic diagnoses, which are subjective and lack reproducibility, relying instead on HPV type and duration of infection as the major determinants of model transition probabilities. We posit that new model health states and corollary transitions are universal,…
Calibration/Validation | Infectious Diseases | Mathematical Models | Microsimulation | Decision Analysis | Cost-Effectiveness Analysis | Global -
ArticlePublication 2021Impact of COVID-19 on Cancer Diagnosis and Survival in Chile
This paper estimates the impact of the COVID-19 pandemic on delays in cancer diagnosis in …
This paper estimates the impact of the COVID-19 pandemic on delays in cancer diagnosis in Chile, using a microsimulation model of five cancers: breast, cervix, colorectal, prostate, and stomach. The model simulates cancer incidence and progression, as well as stage-specific cancer detection and survival probabilities, and was calibrated to empirical data on monthly detected cases, stage at diagnosis, and 5-year net survival. The analysis accounted for the impact of COVID-19 on month-by-month excess mortality and…
Calibration/Validation | Infectious Diseases | Health Outcomes | Microsimulation | Chronic Disease/Risk | Latin America & Caribbean -
ArticlePublication 2020Testing for SARS-CoV-2 Antibodies
Antibody testing can determine previous exposure to SARS-CoV-2 virus. Recently, the UK government has made …
Antibody testing can determine previous exposure to SARS-CoV-2 virus. Recently, the UK government has made antibody testing available to anyone wanting it, even if there is no clinical indication. The purpose of this article is to provide guidance for when to consider antibody testing in individuals with and without symptoms suggestive of current or past SARS-CoV-2 infection. Key points made by the authors include: (1) antibody testing is likely to be most useful 2 weeks…
Probability/Bayes | Infectious Diseases | Test Performance | Technology Assessment | Clinical Care | Health/Medicine -
ToolInteractive 2020COVID-19 Antibody Tests: Calculator for Interpreting Test Results
Antibody testing can determine previous exposure to SARS-CoV-2 virus. This interactive calculator, linked to the article …
Antibody testing can determine previous exposure to SARS-CoV-2 virus. This interactive calculator, linked to the article below* on antibody testing for SARS-CoV-2 virus, allows users to vary the prior probability of infection, the sensitivity of SARS-CoV-2 antibody testing, and the specificity of SARS-CoV-2 antibody testing. Key points made in the article accompanying the interactive include: (1) antibody testing is likely to be most useful 2 weeks after infection, (2) sensitivity and specificity will vary over time and…
Probability/Bayes | Infectious Diseases | Test Performance | Technology Assessment | Clinical Care | Health/Medicine | Science/Technology -
EditorialPublication 2020Waiting for Certainty on COVID-19 Antibody Tests — At What Cost?
This perspective anticipates the availability of serologic antibody testing and considers its potential usefulness in mitigation …
This perspective anticipates the availability of serologic antibody testing and considers its potential usefulness in mitigation policy to reduce COVID-19 transmission. For example: Could we screen for serologic antibodies as a proxy for possible immunity and identify people who could return to the workplace with less severe mitigation measures? The authors acknowledge the uncertainties raised by many policy actors, including the WHO, such as, "Do antibodies confer immunity and, if so, for how long? How accurate is…
Probability/Bayes | Infectious Diseases | Test Performance | Technology Assessment | Health Systems | Policy/Regulation | Government/Law | Health/Medicine | Global | North America -
ArticlePublication 2020Bayes' Theorem, COVID-19, and Screening Tests
This article reviews the implications of increased testing for COVID-19 using reverse transcriptase polymerase chain …
This article reviews the implications of increased testing for COVID-19 using reverse transcriptase polymerase chain reaction (rRT-PCR) through the application of Bayes’ Theorem for three hypothetical, stylized case scenarios. The scenarios involve three patients with a low, moderate, and high pre-test probability of COVID-19 infection. The category of low probability would include "asymptomatic individuals in a presumed low prevalence environment" and might vary from 10 to 20%. The category of moderate probability would include "individuals…
Probability/Bayes | Infectious Diseases | Test Performance | Clinical Care | Health/Medicine -
Tools/ModelsInteractive, Teaching Resource 2020Interactive Graphic: Interpreting a COVID-19 Test Result
Currently, the most common diagnostic test for COVID-19 relies on reverse transcriptase polymerase chain reaction …
Currently, the most common diagnostic test for COVID-19 relies on reverse transcriptase polymerase chain reaction (RT-PCR), and most often uses samples obtained from the respiratory tract by nasopharyngeal swab. This interactive graphic demonstrates the influence of the prior probability of COVID-19, the test sensitivity (i.e., the probability of a positive test conditional on disease presence), and the test specificity (i.e., the probability of a negative test conditional on disease absence) on the post-test probability of…
Probability/Bayes | Infectious Diseases | Test Performance | Clinical Care | Health/Medicine | Science/Technology | High School | College | Graduate | Doctoral | Professional | Graphics/Visualization | Quantitative Literacy -
ArticlePublication 2020Interpreting COVID-19 Test Results: A Bayesian Approach
This article considers the following question with respect to interpreting the results of polymerase chain reaction …
This article considers the following question with respect to interpreting the results of polymerase chain reaction (PCR) assays from nasal and pharyngeal swabs for COVID-19 to inform clinical decision making: "While a positive result in an acutely ill patient is straightforward, how should physicians interpret negative tests in patients with suspected COVID-19 infection?" Using an assumption of near-perfect specificity of PCR assays for COVID-19, the authors acknowledge the uncertainty of test sensitivity. They consider two clinical scenarios…
Probability/Bayes | Infectious Diseases | Test Performance | Health/Medicine | Science/Technology | Global