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 | Risk Analysis | Decision Analysis | Environmental Health | Infectious Diseases | Test Performance | Mathematical Models | Child/Nutrition | Health/Medicine | Science/Technology | Europe | High School | College | Graphics/Visualization | Quantitative Literacy -
ArticlePublication 2022Vaccinations versus Lockdowns to Prevent COVID-19 Mortality
This analysis estimated the costs associated with preventing Covid-19 deaths by vaccinations versus lockdowns. Publicly …
This analysis estimated the costs associated with preventing Covid-19 deaths by vaccinations versus lockdowns. Publicly available datasets from the Israeli Ministry of Health were used to model the parameters of the pandemic in Israel. The Oxford COVID-19 Government Response Tracker was used for quantitative data on government policies. Data on the Israeli economy were taken from the Central Bureau of Statistics. The models demonstrate that the first lockdown prevented 1022 COVID-19 deaths at the cost…
Decision Theory | Decision Analysis | Infectious Diseases | Costing Methods | Health Outcomes | State-Transition | Policy/Regulation | Economics/Finance | Government/Law | Health/Medicine | Middle East & North Africa -
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,…
Decision Analysis | Calibration/Validation | Infectious Diseases | Mathematical Models | Microsimulation | Cost-Effectiveness Analysis | Global -
Teaching PackPublication, Teaching Resource 2022Teaching Pack: Probability Revision and Bayes
In this teaching pack on Probability Revision and Bayes, students are introduced to the implications …
In this teaching pack on Probability Revision and Bayes, students are introduced to the implications of imperfect information, acquire a conceptual understanding of Bayes theorem, and gain practical skills in performing probability revision. Materials include an instructor's note, videos, companion slides, a glossary, an annotated bibliography, sample exercises, and additional support. Learning Objectives Demonstrate a conceptual understanding of Bayes’ theorem and probability revision. Differentiate between test characteristics (e.g., probability of positive test given…
Probability/Bayes | Decision Analysis | Environmental Health | Test Performance | Health/Medicine | College | Graduate | Critical Thinking/Analysis | Graphics/Visualization | Quantitative Literacy -
ArticlePublication 2017Estimating the Fitness Cost and Benefit of Cefixime Resistance in Neisseria Gonorrhoeae
Gonorrhoea is one of the most common bacterial sexually transmitted infections in England, and more …
Gonorrhoea is one of the most common bacterial sexually transmitted infections in England, and more than half of annual infections occur in men who have sex with men (MSM). As the bacterium has developed resistance to each first-line antibiotic in turn, an improved understanding is needed of fitness benefits and costs of antibiotic resistance to inform control policy and planning. The authors developed a stochastic compartmental model representing the natural history and transmission of cefixime-sensitive…
Risk Analysis | Decision Analysis | Infectious Diseases | Dynamic Transmission | Health Systems | Policy/Regulation | Government/Law | Health/Medicine | Science/Technology | Global -
Resource PortalWeb Portal, Teaching Resource 2024MIDAS
MIDAS is a collaborative network of research scientists who use computational, statistical and mathematical models …
MIDAS is a collaborative network of research scientists who use computational, statistical and mathematical models to understand infectious disease dynamics and thereby assist the nation to prepare for, detect and respond to infectious disease threats. Midas focuses on research topics such as: Dynamics of emergence and spread of pathogens; Identification and surveillance of infectious diseases; Effectiveness and consequences of intervention strategies; Host/pathogen interactions; Ecological, climatic, economic and evolutionary dimensions of infectious diseases; The roles of behavior and behavioral adaptation in…
Risk Analysis | Calibration/Validation | Infectious Diseases | Mathematical Models | Dynamic Transmission | Dynamic Simulation | Cost-Effectiveness Analysis | Technology Assessment | Health Systems | Policy/Regulation | Climate/Environment | Health/Medicine | Science/Technology | Global | Graduate | Doctoral | Professional | Critical Thinking/Analysis | Conceptual Mapping | Quantitative Literacy -
Lesson/ModuleWeb Portal, Teaching Resource 2016Educational Module: Shale Gas Development
This module has been developed around the topic of the extraction of natural gas from …
This module has been developed around the topic of the extraction of natural gas from shale. This practice, commonly referred to as fracking, involves several practices that have complex and uncertain consequences. In the module, three scientific concepts are explored in order to elucidate how science is applied toward addressing real-world problems. The scientific concepts are: (1) correlation is not the same as causation, (2) hazard is not the same as risk, and (3) risk…
Probability/Bayes | Risk Analysis | Environmental Health | Policy/Regulation | Business/Industry | Climate/Environment | Energy/Engineering | Government/Law | Science/Technology | Global | North America | College | Graduate | Doctoral | Critical Thinking/Analysis | Decision Making/Leadership -
Lesson/ModulePublication, Teaching Resource 2016Surviving the Surge
This case study explores the experiences of three Manhattan-based hospitals during Superstorm Sandy in 2012. …
This case study explores the experiences of three Manhattan-based hospitals during Superstorm Sandy in 2012. It focuses on decisions made by each institution, as Sandy approached, about whether to shelter-in-place or evacuate hundreds of medically fragile patients, and how each of the three hospitals took a different approach, informed by differing perceptions of risk and related factors. The case will be useful for public health students and administrators in understanding decision-making in settings of an…
Risk Analysis | Decision Analysis | Environmental Health | Injuries/Accidents | Social Determinants | Business/Industry | Climate/Environment | Health/Medicine | North America | Graduate | Doctoral | Critical Thinking/Analysis | Decision Making/Leadership -
Lesson/ModuleWeb Portal, Teaching Resource 2014Maths and Our Health
This learning module provides teaching packs to explore biomedical real-world applications of probability and statistics …
This learning module provides teaching packs to explore biomedical real-world applications of probability and statistics in decision-making. Each pack provides videos and supplemental materials, including presentations, worksheets, and games. Topics include: “Eating Bacon Sandwiches is Bad for You!” Evaluating Risk Epidemics: Modelling with Mathematics Life Saving Maths: How Does Vaccination Work? The Economics of Health: How Do We Decide? The Test is Positive: But What Are the Odds It’s Wrong?
Decision Theory | Decision Analysis | Infectious Diseases | Test Performance | Mathematical Models | Child/Nutrition | Chronic Disease/Risk | Economics/Finance | Health/Medicine | Science/Technology | Global | Middle School | High School | Critical Thinking/Analysis | Decision Making/Leadership | Quantitative Literacy