Deterministic and Stochastic Models of AIDS Epidemics and HIV Infections with Intervention PDF Download

Author: W. Y. Tan
Publisher: World Scientific
ISBN: 981256926X
Category : Medical
Languages : en
Pages : 610

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Book Description
With contributions from an international team of leading researchers, the book pulls together updated research results in the area of HIV/AIDS modeling to provide readers with the latest information in the field. Topics covered include: AIDS epidemic models; vaccine models; models for HIV/cell dynamics and interactions; cellular kinetics; viral dynamics with antiviral treatments; modeling of drug resistance and quasispecies.

Author: W. Y. Tan
Publisher: World Scientific
ISBN: 9789810241223
Category : Mathematics
Languages : en
Pages : 458

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Book Description
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: W. Y. Tan
Publisher: World Scientific
ISBN: 9812561390
Category : Mathematics
Languages : en
Pages : 610

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Book Description
- 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: Charles J Mode
Publisher: World Scientific
ISBN: 9814494186
Category : Medical
Languages : en
Pages : 768

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Book Description
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: sarkhosh seddighi chaharborj
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659513848
Category :
Languages : en
Pages : 116

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Book Description
Mathematical modeling is an important tools to analyze and control the spread of infection disease in a society. One of the fundamental questions of mathematical epidemiology is to find threshold conditions that determine whether an infectious disease will spread in a susceptible population when the disease is introduced into the population. The threshold conditions are characterized by the so-called reproductive number, the reproduction number, the reproductive ratio, basic reproductive value, basic reproductive rate, or contact number. This book present the deterministic and stochastic epidemic models for HIV and study of reproductive numbers. The homotopy perturbation method and homotopy analysis method which was used to solve the linear and nonlinear differential equations. Also, the generation of stochastic models in the epidemic disease has been studied.

Author: Atanu Biswas
Publisher: John Wiley & Sons
ISBN: 0470181192
Category : Mathematics
Languages : en
Pages : 623

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Book Description
The Most Comprehensive and Cutting-Edge Guide to Statistical Applications in Biomedical Research With the increasing use of biotechnology in medical research and the sophisticated advances in computing, it has become essential for practitioners in the biomedical sciences to be fully educated on the role statistics plays in ensuring the accurate analysis of research findings. Statistical Advances in the Biomedical Sciences explores the growing value of statistical knowledge in the management and comprehension of medical research and, more specifically, provides an accessible introduction to the contemporary methodologies used to understand complex problems in the four major areas of modern-day biomedical science: clinical trials, epidemiology, survival analysis, and bioinformatics. Composed of contributions from eminent researchers in the field, this volume discusses the application of statistical techniques to various aspects of modern medical research and illustrates how these methods ultimately prove to be an indispensable part of proper data collection and analysis. A structural uniformity is maintained across all chapters, each beginning with an introduction that discusses general concepts and the biomedical problem under focus and is followed by specific details on the associated methods, algorithms, and applications. In addition, each chapter provides a summary of the main ideas and offers a concluding remarks section that presents novel ideas, approaches, and challenges for future research. Complete with detailed references and insight on the future directions of biomedical research, Statistical Advances in the Biomedical Sciences provides vital statistical guidance to practitioners in the biomedical sciences while also introducing statisticians to new, multidisciplinary frontiers of application. This text is an excellent reference for graduate- and PhD-level courses in various areas of biostatistics and the medical sciences and also serves as a valuable tool for medical researchers, statisticians, public health professionals, and biostatisticians.

Author: Sergei Petrenko
Publisher: CRC Press
ISBN: 1000794059
Category : Science
Languages : en
Pages : 457

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Book Description
Cyber immune systems try to mimic the adaptive immune system of humans and animals because of its capability to detect and fend off new, unseen pathogens. Today's current cyber security systems provide an effective defense mechanism against known cyber-attacks but are not so good when it comes to defending against unknown attacks. This book describes the possible development and organization of self-healing computing based on cyber immunity techniques and aimed at working in the new realm of Industry 4.0. Industry 4.0 is the trend towards automation and data exchange in manufacturing technologies and processes which include cyber-physical systems (CPS), the internet of things (IoT), industrial internet of things (IIOT), cloud computing, cognitive computing and artificial intelligence. The book describes the author’s research and development of cyber-immunity systems that will prevent the destruction of critical information infrastructure by future unknown cyber-attacks and thus avoid the significant or catastrophic consequences of such attacks. The book is designed for undergraduate and post-graduate students, for engineers in related fields as well as managers of corporate and state structures, chief information officers (CIO), chief information security officers (CISO), architects, and research engineers in the field of cybersecurity. This book contains four chapters1. Cyber Immunity Concept of the Industry 4.0; 2. Mathematical Framework for Immune Protection of Industry 4.0; 3. Trends and prospects of the development of Immune Protection of Industry 4.0; 4. From detecting cyber-attacks to self-healing Industry 4.0;

Author: W David Wick
Publisher: Springer Science & Business Media
ISBN: 1461472946
Category : Medical
Languages : en
Pages : 298

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Book Description
In the relatively few decades since the introduction of HIV into the human population, variants of the virus have diverged to such an extent that, were the discussion about something other than viruses, said variants could easily be classified as different species. This book will consider these evolutionary variations, as well as the different and, at times, opposing theories attempting to explain them. It will compare and contrast the ways in which the immune system and drugs affect the virus's evolution, and the implications of these for vaccine development. The issue will be explored and explained through "ecological genetics," which postulates that all living organisms have, besides rivals, enemies. This is divergent from the more traditional school of "population genetics," which emphasizes that evolution occurs among rival species (or variants thereof) that compete for niches or resources in a fixed, unreactive environment. Both models will be formulated using mathematical models, which will be included in the book. Finally, it will consider the possibilities for designing a vaccine that blocks HIV from escaping the immune system.

Author: Catherine Huber
Publisher: John Wiley & Sons
ISBN: 1118624114
Category : Mathematics
Languages : en
Pages : 294

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Book Description
Reliability and survival analysis are important applications of stochastic mathematics (probability, statistics and stochastic processes) that are usually covered separately in spite of the similarity of the involved mathematical theory. This title aims to redress this situation: it includes 21 chapters divided into four parts: Survival analysis, Reliability, Quality of life, and Related topics. Many of these chapters were presented at the European Seminar on Mathematical Methods for Survival Analysis, Reliability and Quality of Life in 2006.

Author: Joan Cabestany
Publisher: Springer
ISBN: 3642214983
Category : Computers
Languages : en
Pages : 725

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Book Description
This two-volume set LNCS 6691 and 6692 constitutes the refereed proceedings of the 11th International Work-Conference on Artificial Neural Networks, IWANN 2011, held in Torremolinos-Málaga, Spain, in June 2011. The 154 revised papers were carefully reviewed and selected from 202 submissions for presentation in two volumes. The second volume includes 76 papers organized in topical sections on video and image processing; hybrid artificial neural networks: models, algorithms and data; advances in machine learning for bioinformatics and computational biomedicine; biometric systems for human-machine interaction; data mining in biomedicine; bio-inspired combinatorial optimization; applying evolutionary computation and nature-inspired algorithms to formal methods; recent advances on fuzzy logic and soft computing applications; new advances in theory and applications of ICA-based algorithms; biological and bio-inspired dynamical systems; and interactive and cognitive environments. The last section contains 9 papers from the International Workshop on Intelligent Systems for Context-Based Information Fusion, ISCIF 2011, held at IWANN 2011.