Mathematics Of Public Health PDF Download
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| Author | : V. Kumar Murty |
| Publisher | : Springer Nature |
| Total Pages | : 349 |
| Release | : 2022-02-08 |
| Genre | : Mathematics |
| ISBN | : 3030850536 |
Download Mathematics of Public Health Book in PDF, ePub and Kindle
Curated by the Fields Institute for Research in Mathematical Sciences from their COVID-19 Math Modelling Seminars, this first in a series of volumes on the mathematics of public health allows readers to access the dominant ideas and techniques being used in this area, while indicating problems for further research. This work brings together experts in mathematical modelling from across Canada and the world, presenting the latest modelling methods as they relate to the COVID-19 pandemic. A primary aim of this book is to make the content accessible so that researchers share the core methods that may be applied elsewhere. The mathematical theories and technologies in this book can be used to support decision makers on critical issues such as projecting outbreak trajectories, evaluating public health interventions for infection prevention and control, developing optimal strategies to return to a new normal, and designing vaccine candidates and informing mass immunization program. Topical coverage includes: basic susceptible-exposed-infectious-recovered (SEIR) modelling framework modified and applied to COVID-19 disease transmission dynamics; nearcasting and forecasting for needs of critical medical resources including personal protective equipment (PPE); predicting COVID-19 mortality; evaluating effectiveness of convalescent plasma treatment and the logistic implementation challenges; estimating impact of delays in contact tracing; quantifying heterogeneity in contact mixing and its evaluation with social distancing; modelling point of care diagnostics of COVID-19; and understanding non-reporting and underestimation. Further, readers will have the opportunity to learn about current modelling methodologies and technologies for emerging infectious disease outbreaks, pandemic mitigation rapid response, and the mathematics behind them. The volume will help the general audience and experts to better understand the important role that mathematics has been playing during this on-going crisis in supporting critical decision-making by governments and public health agencies.
| Author | : Jummy David |
| Publisher | : Springer Nature |
| Total Pages | : 324 |
| Release | : 2023-12-30 |
| Genre | : Mathematics |
| ISBN | : 3031408055 |
Download Mathematics of Public Health Book in PDF, ePub and Kindle
This volume addresses SDG 3 from a mathematical standpoint, sharing novel perspectives of existing communicable disease modelling technologies of the next generation and disseminating new developments in modelling methodologies and simulation techniques. These methodologies are important for training and research in communicable diseases and can be applied to other threats to human health. The contributions contained in this collection/book cover a range of modelling techniques that have been and may be used to support decision-making on critical health related issues such as: Resource allocation Impact of climate change on communicable diseases Interaction of human behaviour change, and disease spread Disease outbreak trajectories projection Public health interventions evaluation Preparedness and mitigation of emerging and re-emerging infectious diseases outbreaks Development of vaccines and decisions around vaccine allocation and optimization The diseases and public health issues in this volume include, but are not limited to COVID-19, HIV, Influenza, antimicrobial resistance (AMR), the opioid epidemic, Lyme Disease, Zika, and Malaria. In addition, this volume compares compartmental models, agent-based models, machine learning and network. Readers have an opportunity to learn from the next generation perspective of evolving methodologies and algorithms in modelling infectious diseases, the mathematics behind them, the motivation for them, and some applications to supporting critical decisions on prevention and control of communicable diseases. This volume was compiled from the weekly seminar series organized by the Mathematics for Public Health (MfPH) Next Generation Network. This network brings together the next generation of modellers from across Canada and the world, developing the latest mathematical models, modeling methodologies, and analytical and simulation tools for communicable diseases of global public health concerns. The weekly seminar series provides a unique forum for this network and their invited guest speakers to share their perspectives on the status and future directions of mathematics of public health.
| Author | : Fred Brauer |
| Publisher | : Springer Nature |
| Total Pages | : 628 |
| Release | : 2019-10-10 |
| Genre | : Mathematics |
| ISBN | : 1493998285 |
Download Mathematical Models in Epidemiology Book in PDF, ePub and Kindle
The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influenza, Ebola virus disease, malaria, dengue fever and the Zika virus, (iii) an introduction to more advanced mathematical topics, including age structure, spatial structure, and mobility, and (iv) some challenges and opportunities for the future. There are exercises of varying degrees of difficulty, and projects leading to new research directions. For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. There are indications which sections require a strong mathematical background so that the book can be useful for both mathematical modelers and public health professionals.
| Author | : |
| Publisher | : Elsevier |
| Total Pages | : 514 |
| Release | : 2017-10-13 |
| Genre | : Mathematics |
| ISBN | : 0444639691 |
Download Disease Modelling and Public Health, Part A Book in PDF, ePub and Kindle
Disease Modelling and Public Health, Part A, Volume 36 addresses new challenges in existing and emerging diseases with a variety of comprehensive chapters that cover Infectious Disease Modeling, Bayesian Disease Mapping for Public Health, Real time estimation of the case fatality ratio and risk factor of death, Alternative Sampling Designs for Time-To-Event Data with Applications to Biomarker Discovery in Alzheimer's Disease, Dynamic risk prediction for cardiovascular disease: An illustration using the ARIC Study, Theoretical advances in type 2 diabetes, Finite Mixture Models in Biostatistics, and Models of Individual and Collective Behavior for Public Health Epidemiology. As a two part volume, the series covers an extensive range of techniques in the field. It present a vital resource for statisticians who need to access a number of different methods for assessing epidemic spread in population, or in formulating public health policy. Presents a comprehensive, two-part volume written by leading subject experts Provides a unique breadth and depth of content coverage Addresses the most cutting-edge developments in the field Includes chapters on Ebola and the Zika virus; topics which have grown in prominence and scholarly output
| Author | : Fred Brauer |
| Publisher | : SIAM |
| Total Pages | : 288 |
| Release | : 2012-01-01 |
| Genre | : Mathematics |
| ISBN | : 9781611972429 |
Download Mathematical Models for Communicable Diseases Book in PDF, ePub and Kindle
This graduate-level textbook appeals to readers interested in the mathematical theory of disease transmission models. It is self-contained and accessible to readers who are comfortable with calculus, elementary differential equations, and linear algebra. The book provides insight into modeling cross-immunity between different disease strains (such as influenza) and the synergistic interactions between multiple diseases (e.g., HIV and tuberculosis); diseases transmitted by viral agents, bacteria, and vectors (e.g., mosquitos transmitting malaria to humans); and both epidemic and endemic disease occurrences.
| Author | : Fred Brauer |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 415 |
| Release | : 2008-04-30 |
| Genre | : Medical |
| ISBN | : 3540789103 |
Download Mathematical Epidemiology Book in PDF, ePub and Kindle
Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation. Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downloaded at the web site of the Centre for Disease Modeling (www.cdm.yorku.ca).
| Author | : Michael Y. Li |
| Publisher | : Springer |
| Total Pages | : 163 |
| Release | : 2018-01-30 |
| Genre | : Mathematics |
| ISBN | : 3319721224 |
Download An Introduction to Mathematical Modeling of Infectious Diseases Book in PDF, ePub and Kindle
This text provides essential modeling skills and methodology for the study of infectious diseases through a one-semester modeling course or directed individual studies. The book includes mathematical descriptions of epidemiological concepts, and uses classic epidemic models to introduce different mathematical methods in model analysis. Matlab codes are also included for numerical implementations. It is primarily written for upper undergraduate and beginning graduate students in mathematical sciences who have an interest in mathematical modeling of infectious diseases. Although written in a rigorous mathematical manner, the style is not unfriendly to non-mathematicians.
| Author | : |
| Publisher | : Elsevier |
| Total Pages | : 392 |
| Release | : 2017-10-31 |
| Genre | : Mathematics |
| ISBN | : 0444639764 |
Download Disease Modelling and Public Health, Part B Book in PDF, ePub and Kindle
Handbook of Statistics: Disease Modelling and Public Health, Part B, Volume 37 addresses new challenges in existing and emerging diseases. As a two part volume, this title covers an extensive range of techniques in the field, with this book including chapters on Reaction diffusion equations and their application on bacterial communication, Spike and slab methods in disease modeling, Mathematical modeling of mass screening and parameter estimation, Individual-based and agent-based models for infectious disease transmission and evolution: an overview, and a section on Visual Clustering of Static and Dynamic High Dimensional Data. This volume covers the lack of availability of complete data relating to disease symptoms and disease epidemiology, one of the biggest challenges facing vaccine developers, public health planners, epidemiologists and health sector researchers. Presents a comprehensive, two-part volume written by leading subject experts Provides a unique breadth and depth of content coverage Addresses the most cutting-edge developments in the field
| Author | : Ray M. Merrill |
| Publisher | : Jones & Bartlett Learning |
| Total Pages | : 138 |
| Release | : 2018-09-05 |
| Genre | : Education |
| ISBN | : 1284175014 |
Download Fundamental Mathematics for Epidemiology Study Book in PDF, ePub and Kindle
As the first of its kind, this book reviews fundamental math concepts and procedures for epidemiology. Students will learn how to connect the math principles and procedures to the epidemiologic study designs. They will also will gain opportunities to apply the math principles to real-life problems and case studies.
| Author | : Lorraine J. Doucette |
| Publisher | : Saunders |
| Total Pages | : 0 |
| Release | : 2000 |
| Genre | : Mathematics |
| ISBN | : 9780721679389 |
Download Basic Mathematics for the Health-related Professions Book in PDF, ePub and Kindle
This new resource clearly explains how to perform all the mathematics needed by today's health-care professionals*including drug dosage, laboratory, and quality assurance calculations. Each chapter features introductory information and sample calculations readers can use to solve clinical problems. Explores basic arithmetic, fractions, ratio and proportion, significant figure systems of measurement, dilutions, and more. Features separate chapters on each area of the laboratory as well as quality control, quality assurance, and method comparison. Addresses the calculations necessary to comply with CLIA 88 requirements. Reinforces calculation concepts with 5-10 detailed examples of math problems in each chapter. Helps readers strengthen their calculation skills and avoid common mistakes with practice exercises throughout the text. Answers are provided to offer users immediate feedback. Provides examples of drug labels for dosage calculation problems. Illustrates mathematical concepts with engaging 2-colour cartoons. Highlights important concepts with chapter outlines and objectives.
