- probability/bayes
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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 | Mathematical Models | Decision Analysis | Health/Medicine | Science/Technology | Child/Nutrition | Infectious Diseases | Test Performance | Risk Analysis | Environmental Health | Europe | High School | College | 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…
Decision Analysis | Dynamic Transmission | Health/Medicine | Science/Technology | Policy/Regulation | Health Systems | Infectious Diseases | Risk Analysis | Government/Law | Global -
ArticlePublication 2017Estimated Economic Impact of Vaccinations in 73 LMIC, 2001-2020
This analysis estimates the economic impact likely to be achieved by efforts to vaccinate against 10 …
This analysis estimates the economic impact likely to be achieved by efforts to vaccinate against 10 vaccine-preventable diseases between 2001 and 2020 in 73 low- and middle-income countries largely supported by Gavi, the Vaccine Alliance. The authors used health impact models to estimate the economic impact of achieving forecasted coverages for vaccination against Haemophilus influenzae type b, hepatitis B, human papillomavirus, Japanese encephalitis, measles, Neisseria meningitidis serogroup A, rotavirus, rubella, Streptococcus pneumoniae and yellow fever. In…
Microsimulation | Dynamic Transmission | State-Transition | Health Outcomes | Health/Medicine | Health Systems | Child/Nutrition | Infectious Diseases | Cost-Effectiveness Analysis | Economics/Finance | Sub-Saharan Africa | Middle East & North Africa | Latin America & Caribbean | Asia & Pacific -
GuidelinesPublication 2011HPV Vaccine Introduction in LMIC's: Guidance on the Use of Cost-Effectiveness Models
This article is a literature review of HPV vaccination models suitable for low-income and middle-income …
This article is a literature review of HPV vaccination models suitable for low-income and middle-income country use to provide information about the feasibility of using such models in a developing country setting. The authors evaluated models in terms of their capacity, requirements, limitations and comparability. Their literature review identified six HPV vaccination models suitable for low-income and middle-income country use and representative of the literature in terms of provenance and model structure. Each model was…
Mathematical Models | Calibration/Validation | Health/Medicine | Science/Technology | Health Systems | Clinical Care | Infectious Diseases | Cost-Effectiveness Analysis | Chronic Disease/Risk | Global -
ArticlePublication 2008Mathematical Models of Cervical Cancer Prevention in the Asia Pacific Region
This article reports on a model-based approach to estimate averted cervical cancer cases and deaths, …
This article reports on a model-based approach to estimate averted cervical cancer cases and deaths, disability-adjusted life years (DALYs) and incremental cost-effectiveness ratios (I$/DALY averted) for vaccination of young adolescent girls against human papillomavirus (HPV) types 16 and 18. The authors used population-based and epidemiologic data for 25 countries in Asia (22 GAVI-Alliance eligible countries, Thailand, China and Japan). They found that an absolute reduction in lifetime cancer risk varied across countries, depending on incidence,…
Microsimulation | Mathematical Models | Calibration/Validation | Health/Medicine | Science/Technology | Health Systems | Infectious Diseases | Cost-Effectiveness Analysis | Chronic Disease/Risk | Economics/Finance | Asia & Pacific -
ArticlePublication 2008Health and Economic Impact of HPV 16 and 18 Vaccination and Cervical Cancer Screening in India
As cervical cancer is a leading cause of cancer death among women in low-income countries, …
As cervical cancer is a leading cause of cancer death among women in low-income countries, with approximately 25% of cases worldwide occurring in India, these authors estimated the potential health and economic impact of different cervical cancer prevention strategies in India. After empirically calibrating a cervical cancer model to country-specific epidemiologic data, they projected cancer incidence, life expectancy, and lifetime costs (I$2005), and calculated incremental cost-effectiveness ratios (I$/YLS) for the following strategies: pre-adolescent vaccination of…
Microsimulation | Calibration/Validation | Health/Medicine | Science/Technology | Health Systems | Clinical Care | Infectious Diseases | Cost-Effectiveness Analysis | Chronic Disease/Risk | Economics/Finance | Asia & Pacific -
ReportPublication 2016Modeling to Inform Strategies to Improve Population Health
This workshop report summarizes a workshop convened by the Institute of Medicine to explore the potential …
This workshop report summarizes a workshop convened by the Institute of Medicine to explore the potential uses of simulation and other types of modeling for improving health. Participants worked to identify how modeling could inform population health decision making (selecting and refining potential strategies, ranging from interventions to investments) based on lessons learned from models that have been, or have not been, used successfully, opportunities and barriers to incorporating models into decision making, and data needs and…
Dynamic Simulation | Microsimulation | Mathematical Models | Decision Analysis | State-Transition | Health/Medicine | Policy/Regulation | Health Systems | Chronic Disease/Risk | Environmental Health | Business/Industry | Climate/Environment | Government/Law | North America -
ArticlePublication 2013Estimated Mortality Impact of Vaccinations 2011–2020 in 73 GAVI Alliance Countries
From August to December 2011, a multidisciplinary group with expertise in mathematical modeling was constituted …
From August to December 2011, a multidisciplinary group with expertise in mathematical modeling was constituted by the GAVI Alliance and the Bill & Melinda Gates Foundation to estimate the impact of vaccination in 73 countries supported by the GAVI Alliance. The number of deaths averted in persons projected to be vaccinated during 2011–2020 was estimated for ten antigens: hepatitis B, yellow fever, Haemophilus influenzae type B (Hib), Streptococcus pneumoniae, rotavirus, Neisseria meningitidis serogroup A, Japanese…
Microsimulation | Mathematical Models | Dynamic Transmission | State-Transition | Health Outcomes | Health/Medicine | Science/Technology | Infectious Diseases | Global Governance | Economics/Finance | Sub-Saharan Africa | Middle East & North Africa | Latin America & Caribbean | Asia & Pacific -
ReviewPublication 2008Modeling Cervical Cancer Prevention in Developed Countries
Decision-analytic models are increasingly developed to simulate disease burden and interventions in different settings in …
Decision-analytic models are increasingly developed to simulate disease burden and interventions in different settings in order to evaluate the benefits and cost-effectiveness of primary and secondary interventions. This article is a review of mathematical models that have been used to evaluate HPV vaccination in the context of developed countries with existing screening programs. Despite variations in model assumptions and uncertainty in existing data, pre-adolescent vaccination of females in the setting of current screening practices has…
Microsimulation | Mathematical Models | Calibration/Validation | Dynamic Transmission | State-Transition | Health/Medicine | Science/Technology | Infectious Diseases | Chronic Disease/Risk