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 | Decision Analysis | Infectious Diseases | Test Performance | Mathematical Models | Risk Analysis | 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 | Dynamic Transmission | Infectious Diseases | Costing Methods | Mathematical Models | Cost-Effectiveness Analysis | 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…
Mental Health | Mathematical Models | State-Transition | Microsimulation | Cost-Effectiveness Analysis | Health/Medicine -
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…
Dynamic Transmission | Infectious Diseases | Health Outcomes | State-Transition | Microsimulation | Cost-Effectiveness Analysis | Child/Nutrition | Health Systems | Economics/Finance | Health/Medicine | Sub-Saharan Africa | Middle East & North Africa | Latin America & Caribbean | Asia & Pacific -
ArticlePublication 2017Using Data-Driven Agent-Based Models to Forecast Emerging Infectious Diseases
This paper describes an agent-based model framework developed to forecast the 2014-15 Ebola epidemic, which …
This paper describes an agent-based model framework developed to forecast the 2014-15 Ebola epidemic, which was subsequently used in the Ebola forecasting challenge. Producing timely and reliable forecasts for an epidemic of an emerging infectious disease is a challenge. Epidemiologists and policy makers have to deal with poor data quality, limited understanding of the disease dynamics, a rapidly changing social environment and the uncertainty around the effects of various interventions in place. In this setting,…
Infectious Diseases | Microsimulation | Calibration/Validation | Dynamic Simulation | Health/Medicine | Sub-Saharan Africa -
ArticlePublication 2017Likelihood Approach for Calibration of Stochastic Epidemic Models
Stochastic transmission dynamic models are especially useful for studying the early emergence of novel pathogens …
Stochastic transmission dynamic models are especially useful for studying the early emergence of novel pathogens given the importance of chance events when the number of infectious individuals is small. However, methods for parameter estimation and prediction for these types of stochastic models remain limited. This paper describes a calibration and prediction framework for stochastic compartmental transmission models of epidemics. The proposed method applies a linear noise approximation to describe the size of the fluctuations, and…
Dynamic Transmission | Infectious Diseases | Calibration/Validation | Dynamic Simulation | Health Systems | Health/Medicine | Global -
ArticlePublication 2016Identifying Cost-Effective Dynamic Policies to Control Epidemics
This paper describes a mathematical decision model for identifying dynamic health policies for controlling epidemics. …
This paper describes a mathematical decision model for identifying dynamic health policies for controlling epidemics. The dynamic policies aim to select the best current intervention based on accumulating epidemic data and the availability of resources at each decision point. An algorithm is proposed to approximate dynamic policies that optimize the population's net health benefit, a performance measure which accounts for both health and monetary outcomes. The authors further illustrate how dynamic policies can be defined and…
Dynamic Transmission | Infectious Diseases | Mathematical Models | Dynamic Simulation | Cost-Effectiveness Analysis | Health/Medicine -
ArticlePublication 2015Population Health Model (POHEM): An Overview
This paper provides an overview of the rationale, methodology and applications of the Population Health …
This paper provides an overview of the rationale, methodology and applications of the Population Health Model (POHEM). POHEM is a health microsimulation model, developed at Statistics Canada in the early 1990s. The authors describe that POHEM draws together rich multivariate data from a wide range of sources to simulate the lifecycle of the Canadian population, specifically focusing on aspects of health. The model dynamically simulates individuals’ disease states, risk factors, and health determinants, in order…
Clinical Care | Costing Methods | Evidence Synthesis | Mathematical Models | Microsimulation | Calibration/Validation | Chronic Disease/Risk | Health Systems | Policy/Regulation | Economics/Finance | Health/Medicine | North America -
ReviewPublication 2014Markov Modeling & Discrete Event Simulation in Health Care: Systematic Comparison
This review assesses whether the use of Markov modeling (MM) or discrete event simulation (DES) …
This review assesses whether the use of Markov modeling (MM) or discrete event simulation (DES) for cost-effectiveness analysis (CEA) may alter healthcare resource allocation decisions. A systematic literature search and review of empirical and non-empirical studies comparing MM and DES techniques used in the CEA of healthcare technologies was conducted. The primary advantages described for DES over MM were the ability to model queuing for limited resources, capture individual patient histories, accommodate complexity and uncertainty,…
Clinical Care | Mathematical Models | State-Transition | Microsimulation | Health Systems | Health/Medicine