Statistical Analysis And Mathematical Modelling Of Aids

Author : J. C. Jager,E. Joost Ruitenberg
Publisher : Oxford University Press, USA
Page : 167 pages
File Size : 55,5 Mb
Release : 1988
Category : Medical
ISBN : 0192617451

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Statistical Analysis and Mathematical Modelling of AIDS by J. C. Jager,E. Joost Ruitenberg Pdf

In the worldwide fight against the AIDS epidemic, the ability to predict the number and social impact of future cases plays a vital role. The choice of control strategies, public health decisions, and the evaluation of possible interventions depend on having such information that is accurate and reliable. This book is devoted to the statistical analysis of basic data on the spread of AIDS and the mathematical modelling of the transmission and spread of the human immunodeficiency virus (HIV) which causes the disease. Such techniques take into account medical, psychosocial, behavioral and economic factors, and can help to integrate this information into an efficient methodology for the estimation of future needs and how to meet them. In addition to AIDS specialists, the studies here will be valuable to all those involved in public health, epidemiology and the control of communicable diseases.

Author : Carlos Castillo-Chavez
Publisher : Springer Science & Business Media
Page : 416 pages
File Size : 52,6 Mb
Release : 2013-03-13
Category : Medical
ISBN : 9783642934544

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Mathematical and Statistical Approaches to AIDS Epidemiology by Carlos Castillo-Chavez Pdf

The 18 research articles of this volume discuss the major themes that have emerged from mathematical and statistical research in the epidemiology of HIV. The opening paper reviews important recent contributions. Five sections follow: Statistical Methodology and Forecasting, Infectivity and the HIV, Heterogeneity and HIV Transmission Dynamics, Social Dynamics and AIDS, and The Immune System and The HIV. In each, leading experts in AIDS epidemiology present the recent results. Some address the role of variable infectivity, heterogeneous mixing, and long periods of infectiousness in the dynamics of HIV; others concentrate on parameter estimation and short-term forecasting. The last section looks at the interaction between the HIV and the immune system.

Author : D. M. Basavarajaiah,Bhamidipati Narasimha Murthy
Publisher : Springer Nature
Page : 340 pages
File Size : 41,5 Mb
Release : 2019-11-29
Category : Medical
ISBN : 9789811501517

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HIV Transmission by D. M. Basavarajaiah,Bhamidipati Narasimha Murthy Pdf

This book presents models describing HIV transmission rates at population level, discussing the main statistical methods and analytical interventions. It also assesses the practical applicability of the various modelling techniques, offering readers insights into what methods are available and, more importantly, when they should be used to address HIV transmission at global level. The book includes realistic simulation models fitted to clarify the rate of HIV mother-to-child transmission (HIV MTCT), and substantiates the conclusions that can be drawn as well as the appropriate time for making global-level clinical decisions concerning people living with HIV/AIDS (PLHIVs). Intended for students, academics and researchers, the book offers more than just an introduction to the topic – it also features in-depth, yet easy-to-understand, descriptions of a new mathematical/statistical HIV mother-to-child transmission model, making it a useful resource for clinicians, public health workers and policymakers involved in implementing HIV-prevention programmes at national /global level.

Author : Priti Kumar Roy
Publisher : Springer
Page : 213 pages
File Size : 48,5 Mb
Release : 2015-12-08
Category : Mathematics
ISBN : 9789812878526

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Mathematical Models for Therapeutic Approaches to Control HIV Disease Transmission by Priti Kumar Roy Pdf

The book discusses different therapeutic approaches based on different mathematical models to control the HIV/AIDS disease transmission. It uses clinical data, collected from different cited sources, to formulate the deterministic as well as stochastic mathematical models of HIV/AIDS. It provides complementary approaches, from deterministic and stochastic points of view, to optimal control strategy with perfect drug adherence and also tries to seek viewpoints of the same issue from different angles with various mathematical models to computer simulations. The book presents essential methods and techniques for students who are interested in designing epidemiological models on HIV/AIDS. It also guides research scientists, working in the periphery of mathematical modeling, and helps them to explore a hypothetical method by examining its consequences in the form of a mathematical modelling and making some scientific predictions. The model equations, mathematical analysis and several numerical simulations that are presented in the book would serve to reveal the consequences of the logical structure of the disease transmission, quantitatively as well as qualitatively. One of the chapters introduces the optimal control approach towards the mathematical models, describing the optimal drug dosage process that is discussed with the basic deterministic models dealing with stability analysis. Another one chapter deals with the mathematical analysis for the perfect drug adherence for different drug dynamics during the treatment management. The last chapter of the book consists the stochastic approach to the disease dynamics on HIV/AIDS. This method helps to move the disease HIV/AIDS to extinction as the time to increase. This book will appeal to undergraduate and postgraduate students, as well as researchers, who are studying and working in the field of bio-mathematical modelling on infectious diseases, applied mathematics, health informatics, applied statistics and qualitative public health, etc. Social workers, who are working in the field of HIV, will also find the book useful for complements.

Author : W. Y. Tan,Hulin Wu
Publisher : World Scientific
Page : 610 pages
File Size : 50,8 Mb
Release : 2005
Category : Mathematics
ISBN : 9789812561398

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Deterministic and Stochastic Models of AIDS Epidemics and HIV Infections with Intervention by W. Y. Tan,Hulin Wu Pdf

- Only book on extensive, deterministic models, statistic models, stochastic models and state space models and statistical methods for HIV epidemic involving IV drug usage and HIV epidemic in homosexual populations. - Provides most recent biological insights into HIV pathogenesis and HIV kinetics at the cellular level, and illustrates how to build up mathematical models based on these biological insights. - Only publication that provides in-depth analysis of HAART treatment protocols and discusses possible improvements to the HAART protocol. The book also provides connection between pharmacokinetics with treatment in HIV-infected individuals.

Author : Cliburn Chan,Michael G. Hudgens,Shein-Chung Chow
Publisher : CRC Press
Page : 336 pages
File Size : 41,8 Mb
Release : 2017-08-07
Category : Mathematics
ISBN : 9781351647120

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Quantitative Methods for HIV/AIDS Research by Cliburn Chan,Michael G. Hudgens,Shein-Chung Chow Pdf

Quantitative Methods in HIV/AIDS Research provides a comprehensive discussion of modern statistical approaches for the analysis of HIV/AIDS data. The first section focuses on statistical issues in clinical trials and epidemiology that are unique to or particularly challenging in HIV/AIDS research; the second section focuses on the analysis of laboratory data used for immune monitoring, biomarker discovery and vaccine development; the final section focuses on statistical issues in the mathematical modeling of HIV/AIDS pathogenesis, treatment and epidemiology. This book brings together a broad perspective of new quantitative methods in HIV/AIDS research, contributed by statisticians and mathematicians immersed in HIV research, many of whom are current or previous leaders of CFAR quantitative cores. It is the editors’ hope that the work will inspire more statisticians, mathematicians and computer scientists to collaborate and contribute to the interdisciplinary challenges of understanding and addressing the AIDS pandemic.

Author : Khalid Hattaf,Hemen Dutta
Publisher : Springer Nature
Page : 348 pages
File Size : 46,9 Mb
Release : 2020-07-30
Category : Technology & Engineering
ISBN : 9783030498962

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Mathematical Modelling and Analysis of Infectious Diseases by Khalid Hattaf,Hemen Dutta Pdf

This book discusses significant research and study topics related to mathematical modelling and analysis of infectious diseases. It includes several models and modelling approaches with different aims, such as identifying and analysing causes of occurrence and re-occurrence, causes of spreading, treatments and control strategies. A valuable resource for researchers, students, educators, scientists, professionals and practitioners interested in gaining insights into various aspects of infectious diseases using mathematical modelling and mathematical analysis, the book will also appeal to general readers wanting to understand the dynamics of various diseases and related issues. Key Features Mathematical models that describe population prevalence or incidence of infectious diseases Mathematical tools and techniques to analyse data on the incidence of infectious diseases Early detection and risk estimate models of infectious diseases Mathematical models that describe the transmission of infectious diseases and analyse data Dynamical analysis and control strategies for infectious diseases Studies comparing the utility of particular models in describing infected diseases-related issues such as social, health and economic

Author : M.Elizabeth Halloran,Donald Berry
Publisher : Springer Science & Business Media
Page : 287 pages
File Size : 40,7 Mb
Release : 2012-12-06
Category : Medical
ISBN : 9781461212843

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Statistical Models in Epidemiology, the Environment, and Clinical Trials by M.Elizabeth Halloran,Donald Berry Pdf

This IMA Volume in Mathematics and its Applications STATISTICAL MODELS IN EPIDEMIOLOGY, THE ENVIRONMENT,AND CLINICAL TRIALS is a combined proceedings on "Design and Analysis of Clinical Trials" and "Statistics and Epidemiology: Environment and Health. " This volume is the third series based on the proceedings of a very successful 1997 IMA Summer Program on "Statistics in the Health Sciences. " I would like to thank the organizers: M. Elizabeth Halloran of Emory University (Biostatistics) and Donald A. Berry of Duke University (Insti tute of Statistics and Decision Sciences and Cancer Center Biostatistics) for their excellent work as organizers of the meeting and for editing the proceedings. I am grateful to Seymour Geisser of University of Minnesota (Statistics), Patricia Grambsch, University of Minnesota (Biostatistics); Joel Greenhouse, Carnegie Mellon University (Statistics); Nicholas Lange, Harvard Medical School (Brain Imaging Center, McLean Hospital); Barry Margolin, University of North Carolina-Chapel Hill (Biostatistics); Sandy Weisberg, University of Minnesota (Statistics); Scott Zeger, Johns Hop kins University (Biostatistics); and Marvin Zelen, Harvard School of Public Health (Biostatistics) for organizing the six weeks summer program. I also take this opportunity to thank the National Science Foundation (NSF) and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr.

Author : Charles J Mode,Candace K Sleeman
Publisher : World Scientific
Page : 768 pages
File Size : 42,8 Mb
Release : 2000-06-09
Category : Medical
ISBN : 9789814494182

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Stochastic Processes in Epidemiology by Charles J Mode,Candace K Sleeman Pdf

AIDS (autoimmune deficiency syndrome) is a devastating human disease caused by HIV, a human immunodeficiency virus, which may be transmitted by either sexual or other contacts in which body fluids are exchanged. Cases of AIDS have been reported in a majority of countries throughout the world, indicating that the HIV/AIDS epidemic is international in scope. This book deals with the mathematical and statistical techniques underlying the models used to understand the population dynamics of not only HIV/AIDS but also other infectious diseases. Attention is given to the development strategies for the prevention and control of the international epidemic within the frameworks of the models. Two distinguishing features of the book are the incorporation of stochastic and deterministic formulations within a unifying conceptual framework and the discussion of issues related to the mathematical designs of models, which are necessary for the rigorous utilization of computer-intensive methods. The book will be of value to applied mathematicians, biomathematicians, biostatisticians, epidemiologists and other scientists interested in applying mathematics and computers to not only the HIV/AIDS epidemic but also other fields of epidemiology. Contents:Biology and Epidemiology of HIV/AIDSModels of Incubation and Infectious PeriodsContinuous Time Markov and Semi-Markov Jump ProcessesSemi-Markov Jump Processes in Discrete TimeModels of HIV Latency Based on a Log-Gaussian ProcessThe Threshold Parameter of One-Type Branching ProcessesA Structural Approach to SIS and SIR ModelsThreshold Parameters for Multi-Type Branching ProcessesComputer Intensive Methods for the Multi-Type CaseNonlinear Stochastic Models in Homosexual PopulationsStochastic Partnership Models in Homosexual PopulationsHeterosexual Population with PartnershipsAge-Dependent Stochastic Models with PartnershipsEpilogue — Future Research Directions Readership: Mathematical & quantitative biologists, epidemiologists, mathematicians, operations research workers, statisticians and biostatisticians. Keywords:Models: Incubation and Infectious Periods;Thresholds;General Branching Process;One Sex Homosexual;Partnerships Two and One Sex;Monte Carlo;Computer Intensive AlgorithmsReviews: “Quantitative epidemiologists and graduate students and researchers in applied mathematics and statistics interested in stochastic epidemic models should find this to be a helpful reference.” Journal of the American Statistical Association “I believe everyone working or wishing to work on epidemic modelling will certainly benefit from this book.” Mathematics Abstracts

Author : Ron Brookmeyer,Mitchell H. Gail
Publisher : Oxford University Press
Page : 374 pages
File Size : 46,8 Mb
Release : 1994-01-06
Category : Medical
ISBN : 9780199748747

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AIDS Epidemiology by Ron Brookmeyer,Mitchell H. Gail Pdf

AIDS has appeared in more than 130 countries, and over 100,000 cases of AIDS have been reported in the U.S. alone. More and more, the public will be depending on statisticians to provide answers about the future course of this epidemic. This comprehensive work confronts the problems that are unique to AIDS research and unites them under a single conceptual framework. It focuses on methods for the design and analysis of epidemiologic studies, the natural history of AIDS and the transmission of HIV, methods for tracking and projecting the course of the epidemic, and statistical issues in therapeutic trials. The various methods of monitoring and forecasting this disease receive comprehensive treatment. These methods include back-calculation, which the authors developed; interpretation of survey data on HIV prevalence; mathematical models for HIV transmission; and approaches that combine different types of epidemiological data. Much of this material -- such as a discussion of methods for assessing safety of the blood supply, an evaluation of survey approaches, and methods to project pediatric AIDS incidence -- is not available in any other work.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 49,5 Mb
Release : 2024-06-29
Category : Electronic
ISBN : 9789814471428

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Dynamical Modeling and Analysis of Epidemics by Anonim Pdf

Author : Zhien Ma,Jia Li
Publisher : World Scientific
Page : 513 pages
File Size : 53,8 Mb
Release : 2009
Category : Mathematics
ISBN : 9789812797490

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Dynamical Modeling and Analysis of Epidemics by Zhien Ma,Jia Li Pdf

This timely book covers the basic concepts of the dynamics of epidemic disease, presenting various kinds of models as well as typical research methods and results. It introduces the latest results in the current literature, especially those obtained by highly rated Chinese scholars. A lot of attention is paid to the qualitative analysis of models, the sheer variety of models, and the frontiers of mathematical epidemiology. The process and key steps in epidemiological modeling and prediction are highlighted, using transmission models of HIV/AIDS, SARS, and tuberculosis as application examples.

Author : W. Y. Tan
Publisher : World Scientific
Page : 458 pages
File Size : 46,7 Mb
Release : 2000
Category : Mathematics
ISBN : 9810241224

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Stochastic Modeling of AIDS Epidemiology and HIV Pathogenesis by W. Y. Tan Pdf

This book discusses systematically treatment on the development of stochastic, statistical and state space models of the HIV epidemic and of HIV pathogenesis in HIV-infected individuals, and presents the applications of these models. The book is unique in several ways: (1) it uses stochastic difference and differential equations to present the stochastic models of the HIV epidemic and HIV pathogenesis; in this sense, the deterministic models are considered as special cases when the numbers of different type of people or cells are very large (2) it provides, a critical analysis of deterministic and statistical models in the literature; (3) it develops state space models by combining stochastic models and statistical models; and (4) it provides a detailed discussion on the pros and cons of the different modeling approaches. This book is the first to introduce state space models for the HIV epidemic. It is also the first to develop stochastic models and state space models for the HIV pathogenesis in HIV-infected individuals.

Author : Scenario Committee on AIDS,E.J. Ruitenberg,F.M.L.G. van den Boom,J.C. de Jager,D.P. Reinkind,M.J. Postma,C.E.S. Albers
Publisher : Springer Science & Business Media
Page : 340 pages
File Size : 48,8 Mb
Release : 2012-12-06
Category : Medical
ISBN : 9789401128483

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AIDS up to the Year 2000 by Scenario Committee on AIDS,E.J. Ruitenberg,F.M.L.G. van den Boom,J.C. de Jager,D.P. Reinkind,M.J. Postma,C.E.S. Albers Pdf

In March 1983 the Secretary of State for Welfare, Health and Cultural Affairs appointed the Steering Committee on Future Health Scenarios (STG). The task of the STG is to advise the Minister on the future of public health and health care in the long term in the Netherlands with a view to increasing the anticipatory capacity of government policy. Since 1983 the STG has set up a number of committees, including the Scenario Committee on AIDS, with a view to mapping out possible scenarios in their particular field of interest. The committees report in the form of scenario reports, which are of relevance not just to the national government but also to others involved in policy development and opinion formation in the field in question. What proportions will the HIV/AIDS epidemic assume and how many new HIV infections can be averted by HIV/AIDS prevention campaigns? How much care and support will people with HIV and AIDS need and what successes can be expected within the care sector? What will be the social consequences of AIDS and how can ostracism and the social isolation of people with HIV and AIDS be avoided? These and other related questions form the subject of this book, which examines the sociocultural and economic impact of AIDS in the Netherlands up to the year 2000. The book presents a study carried out by the Netherlands Institute of Mental Health (NcGv) and the National Institute of Public Health and Environmental Protection (RIVM), under the direction of the STG Scenario Committee on AIDS. The researchers look back at the epidemiological, sociocultural and economic impact of AIDS in the Netherlands during the first decade of the epidemic and, on the basis of this, use scenario analysis to project the impact of AIDS up to the year 2000. The future projections relate both to the impact of AIDS and the maximization of efforts to combat the disease. In addition to a scenario exploring the impact of AIDS if developments continue unchanged, alternative scenarios are also put forward. These focus on the impact of significant changes in such diverse fields as sexual behaviour, injecting drug use, the effectiveness and organization of HIV/AIDS prevention programmes, and the demand for delivery of care. The book concludes that the impact of AIDS will only become fully apparent in the second decade of the epidemic. The authors consider the implications of this conclusion for HIV/AIDS prevention programmes, research, care and the efforts to counter the socially undesirable impacts of AIDS.

Author : Herbert W Hethcote,James W Van Ark
Publisher : Springer
Page : 248 pages
File Size : 44,5 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3642514782

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Modeling HIV Transmission and AIDS in the United States by Herbert W Hethcote,James W Van Ark Pdf