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…
Mathematical Models | Test Performance | Probability/Bayes | Decision Analysis | Risk Analysis | Infectious Diseases | Child/Nutrition | Environmental Health | Health/Medicine | Science/Technology | Europe | High School | College | Graphics/Visualization | Quantitative Literacy -
ArticleWeb Portal 2017PLoS Collection: Prevention, Diagnosis and Treatment of Sexually Transmitted Infections
Globally, the World Health Organization (WHO) estimates that more than one million new sexually transmitted …
Globally, the World Health Organization (WHO) estimates that more than one million new sexually transmitted infections (STIs) occur each day, incurring a very substantial burden of morbidity, mortality and additional infections. The pathogens responsible include bacteria, parasites and viruses, and intensive research is needed to address the substantial barriers to diagnosis and treatment of STIs, and the behavioral challenges of prevention. This PLOS collection, published in collaboration with WHO, focuses on global policy and systems…
Priority Setting/Ethics | Mathematical Models | Costing Methods | Dynamic Transmission | Cost-Effectiveness Analysis | Infectious Diseases | Health Systems | Economics/Finance | Health/Medicine | Sub-Saharan Africa | Middle East & North Africa | Latin America & Caribbean | Asia & Pacific -
ArticlePublication 2017Cost-Effectiveness of Testing and Treatment for Latent TB
Testing for and treating latent tuberculosis infection (LTBI) is among the main strategies to achieve …
Testing for and treating latent tuberculosis infection (LTBI) is among the main strategies to achieve TB elimination in the United States. This analysis estimated health outcomes, costs, and cost-effectiveness of LTBI testing and treatment among non-US born residents with and without medical comorbidities (e.g., diabetes, HIV infection, and end-stage renal disease). A decision analytic tree and Markov cohort simulation model was used to compare the following strategies: no testing, tuberculin skin test (TST), interferon gamma release assay…
Test Performance | State-Transition | Microsimulation | Cost-Effectiveness Analysis | Infectious Diseases | Chronic Disease/Risk | Health Systems | Economics/Finance | Health/Medicine | Global | North America -
ArticlePublication 2017Getting it Right When Budgets are Tight: Prioritizing Responses to HIV Epidemics
Prioritizing investments across health interventions is complicated by the nonlinear relationship between intervention coverage and …
Prioritizing investments across health interventions is complicated by the nonlinear relationship between intervention coverage and epidemiological outcomes. It can be difficult for countries to know which interventions to prioritize for greatest epidemiological impact, particularly when budgets are uncertain.The authors examined four case studies of HIV epidemics in diverse settings, each with different characteristics. These case studies were based on public data available for Belarus, Peru, Togo, and Myanmar. The Optima HIV model and software package…
Priority Setting/Ethics | Mathematical Models | Costing Methods | Cost-Effectiveness Analysis | Infectious Diseases | Health Systems | Economics/Finance | Health/Medicine | Sub-Saharan Africa | Middle East & North Africa | Latin America & Caribbean | Asia & Pacific -
ReviewPublication 2017Model-Based Economic Evaluation of Treatments for Depression: A Systematic Review
This article, published in Pharmacoeconomics, systematically reviews the literature in order to identify model-based studies …
This article, published in Pharmacoeconomics, systematically reviews the literature in order to identify model-based studies evaluating the cost-effectiveness of treatments for depression and examine the appropriateness of different modelling technique for simulating the natural course of depression. The review yielded 41 model-based studies, of which 21 used decision trees (DTs), 15 used cohort-based state-transition Markov models (CMMs), two used individual-based state-transition models (ISMs), and three used discrete-event simulation (DES) models. Just over half of the…
Mathematical Models | State-Transition | Microsimulation | Cost-Effectiveness Analysis | Mental Health | Health/Medicine -
ReviewPublication 2017Use of Mathematical Models of Chlamydia Transmission to Address Public Health Policy Questions
This review provides an overview of chlamydia transmission models and offers perspective on how mathematical …
This review provides an overview of chlamydia transmission models and offers perspective on how mathematical modeling has responded over time to additional empirical evidence in order to address policy questions related to prevention of chlamydia infection. The authors reviewed published chlamydia models to understand the range of approaches used for policy analyses and how the studies have responded to developments in the field. The authors identified 47 publications reporting on 29 mathematical models through a…
Mathematical Models | State-Transition | Dynamic Transmission | Infectious Diseases | Clinical Care | Health/Medicine | North America -
ReviewPublication 2017Validation and Calibration of Structural Models that Combine Information from Multiple Sources
This is a review of calibration and validation methods in mathematical modeling. Such models that …
This is a review of calibration and validation methods in mathematical modeling. Such models that attempt to capture structural relationships between their components and combine information from multiple sources are increasingly used in medicine. The authors provide an overview of methods for model validation and calibration and survey studies comparing alternative approaches. Model validation entails a confrontation of models with data, background knowledge, and other models, and can inform judgments about model credibility. Calibration involves…
Mathematical Models | Calibration/Validation | Health/Medicine -
ArticlePublication 2017Designing an Optimal HIV Programme for South Africa
This 2017 study compares the traditional and a novel method of comparing cost-effectiveness interventions in …
This 2017 study compares the traditional and a novel method of comparing cost-effectiveness interventions in the context of HIV in South Africa, using a modeling approach. The authors argue that the assumptions of a) independence of interventions, and b) linear scale-up effects do not hold because South Africa has a large domestically funded HIV program with highly saturated coverage levels. The authors therefore aim to better allocate resources for HIV interventions in South Africa when…
Priority Setting/Ethics | Mathematical Models | Cost-Effectiveness Analysis | Operations Research | Infectious Diseases | Health Systems | Economics/Finance | Health/Medicine | Sub-Saharan Africa -
ArticlePublication 2017Policy Makers, the International Community and the Population: Case Study on HIV/AIDS
A four-period game is developed between a policy maker, the international community, and the population. …
A four-period game is developed between a policy maker, the international community, and the population. This research supplements, through implementing strategic interaction, earlier research analyzing "one player at a time." The first two players distribute funds between preventing and treating diseases. The population reacts by degree of risky behavior which may cause no disease, disease contraction, recovery, sickness/death. More funds to prevention implies less disease contraction but higher death rate given disease contraction. The cost…
Priority Setting/Ethics | Mathematical Models | Decision Psychology | Infectious Diseases | Health Systems | Global Governance | Economics/Finance | Government/Law | Health/Medicine | Global