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Title Deterministic and stochastic models of AIDS epidemics and HIV infections with intervention / [edited by] Wai-Yuan Tan, Hulin Wu.

Publication Info. Singapore : World Scientific, 2005.

Item Status

Description 1 online resource (viii, 601 pages)
Physical Medium polychrome
Description text file
Bibliography Includes bibliographical references and index.
Contents Cover -- Contents -- Chapter 1 Mathematical Models for HIV Transmission Among Injecting Drug Users Vincenzo Capasso and Daniela Morale -- 1. Introduction -- 2. One Population Model -- 2.1. Force of infection and social rules -- 2.2. Qualitative analysis -- 3. Multipopulation Models -- 3.1. The force of infection -- 3.2. Interaction among different populations -- 3.3. Qualitative analysis -- 3.4. About the uniqueness of the positive endemic equilibrium -- 4. The Multistage Model -- 5. Multipopulation models with multiple stages of infection -- References -- Chapter 2 Estimation of HIV Infection and Seroconversion Probabilities in IDU and Non-IDU Populations by State Space Models Wai-Yuan Tan, Li-Jun Zhang and Lih-Yuan Deng -- 1. Introduction -- 2. A Stochastic Model for HIV Infection and HIV Seroconversion -- 2.1. Stochastic equations for the state variables -- 2.2. The expected numbers of the state variables -- 2.3. The probability distribution of the state variables -- 3. Statistical Models and Data for HIV Seroconversion -- 3.1. The time to event models for HIV seroconversion -- 3.2. The data and a statistic model for seroconversion -- 3.3. Statistical inferences on HIV seroconversion -- 3.4. The Bayesian approach for estimating seroconversion -- 3.5. A likelihood ratio test for comparing several HIV seroconversion distributions -- 3.6. Estimation of HIV infection -- 4. A State Space Model for HIV Seroconversion -- 4.1. The stochastic system model and the probability distribution of state variables -- 4.2. The observation model and the probability distribution of the number of the observed seroconvertors -- 4.3. The contribution to the observed number of seroconverters by the data -- 4.4. The conditional posterior distribution -- 5. Simultaneous Estimation of Unknown Parameters and State Variables -- 6. An Illustrative Example -- 7. Conclusions and Discussion -- Acknowledgements -- References -- Chapter 3 A Bayesian Monte Carlo Integration Strategy for Connecting Stochastic Models of HIV / AIDS with Data Charles J. Mode -- 1. Introduction -- 2. Basic Bayesian Concepts -- 3. A Monte Carlo Integration Strategy -- 4. On the Conditional Likelihood Function of the Data Given a Point in the Parameter Space and a Realization of the Process -- 5. A Weighted Boot Strap Method for Resampling the Posterior Distribution -- 6. Resampling the Posterior Distribution Based on the Largest Probabilities -- 7. A Criterion for Selecting Sample Size -- 8. Strategies for Confronting Issues of Computer Performance -- 9. On Choosing Prior Distributions of the Parameters -- References -- Chapter 4 A Class of Methods for HIV Contact Tracing in Cuba: Implications for Intervention and Treatment Ying-Hen Hsieh, Hector de Arazoza, Rachid Lounes and Jose Joanes -- 1. Introduction -- 2. The Models -- 2.1. The k2X model -- 2.2. The k2Y model -- 2.3. The k2XY model -- 2.4. The k2XY/(X + Y) model -- 3. Fitting the Models to Cuban Data -- 4. Discussion and Concluding Remarks -- Acknowledgments -- References -- Chapter 5 Simultaneous Inferences of HIV Vaccine Effects on Viral Load, CD4 Cell Counts, and Antiretroviral Therapy Initiation in Phase 3 Trials Peter B. Gilbert and Yanqing Sun -- 1. Introduction -- 2. Simultaneous Inferences for V E(, Xvl) and V E(, Xcd4) -- 2.1. Notation and vaccine efficacy parameters of interest -- 2.2. Point and simultaneous confidence interval estimates for vaccine efficacy -- 2.3. Hypoth.
Summary 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.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Medicine -- Mathematical models.
Medicine -- Mathematical models.
Biomathematics.
Biomathematics.
Acquired Immunodeficiency Syndrome.
HIV Infections.
Models, Theoretical.
Stochastic Processes.
Genre/Form Electronic books.
Other Form: Print version: Tan, W.Y., 1934- Deterministic and stochastic models of AIDS epidemics and HIV infections with intervention. Singapore ; Hackensack, NJ : World Scientific, ©2005 9812561390 (OCoLC)62084055
ISBN 9789812561398
9812561390
981256926X (electronic book)
9789812569264 (electronic book)
1281880973
9781281880970
9812561390