Deterministic And Stochastic Models Of Aids Epidemics And Hiv Infections With Intervention

by Wai-Yuan, Tan; Wu, Hulin

• ISBN13: 9789812561398
• ISBN10: 9812561390
• Format: Hardcover
• Copyright: 2005-09-30
• Publisher: World Scientific Pub Co Inc

Summary

- 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.

Table of Contents

Chapter 1 Mathematical Models for HIV Transmission Among Injecting Drug Users	1	(30)
Vincenzo Capasso and Daniela Morale
Chapter 2 Estimation of HIV Infection and Seroconversion Probabilities in IDU and Non-IDU Populations by State Space Models	31	(30)
Wai- Yuan Tan, Li-Jun Zhang and Lih-Yuan Deng
Chapter 3 A Bayesian Monte Carlo Integration Strategy for Connecting Stochastic Models of HIV/AIDS with Data	61	(16)
Charles J. Mode
Chapter 4 A Class of Methods for HIV Contact Tracing in Cuba: Implications for Intervention and Treatment	77	(16)
Ying-Hen Hsieh, Hector de Arazoza, Rachid Lounes and Jose Joanes
Chapter 5 Simultaneous Inferences of HIV Vaccine Effects on Viral Load, CD4 Cell Counts, and Antiretroviral Therapy Initiation in Phase 3 Trials	93	(28)
Peter B. Gilbert and Yanging Sun
Chapter 6 A Review of Mathematical Models for HIV/AIDS Vaccination	121	(18)
Shu-Fang Hsu Schmitz
Chapter 7 Effects of AIDS Vaccine on Sub-Populations of CD4(+) T Cells, CD8(+) T Cells and B Cells Under HIV Infection	139	(34)
Wai-Yuan Tan, Ping Zhang and Xiaoping Xiong
Chapter 8 Dynamical Models for the Course of an HIV Infection	173	(16)
Christel Kamp
Chapter 9 How Fast Can HIV Escape from Immune Control?	189	(30)
W. David Wick and Steven G. Self
Chapter 10 CTL Action During HIV-1 Is Determined VIA Interactions with Multiple Cell Types	219	(36)
Seema H. Bajaria and Denise E. Kirschner
Chapter 11 Identifiability of HIV/AIDS Models	255	(32)
Annah M. Jeffrey and Xiaohua Xia
Chapter 12 Influence of Drug Pharmacokinetics on HIV Pathogenesis and Therapy	287	(26)
Narendra M. Dixit and Alan S. Perelson
Chapter 13 A Model of HIV-1 Treatment: The Latently Infected CD4+ T Cells becomes Undetectable	313	(20)
Karen O'Hara
Chapter 14 A State Space Model for HIV Pathogenesis Under Anti-Viral Drugs and Applications	333	(28)
Wai-Yuan Tan, Ping Zhang and Xiaoping Xiong
Chapter 15 Bayesian Estimation of Individual Parameters in an HIV Dynamic Model Using Long-Term Viral Load Data	361	(24)
Yangxin Huang and Hulin Wu
Chapter 16 Within-Host Dynamics and Treatment of HIV-1 Infection: Unanswered Questions and Challenges for Computational Biologists	385	(38)
John Mittler
Chapter 17 Treatment Interruptions and Resistance: A Review	423	(34)
Jane M Heffernan and Lindi M Wahl
Chapter 18 A Branching Process Model of Drug Resistant HIV	457	(40)
H. Zhou and K. S. Dorman
Chapter 19 A Bayesian Approach for Assessing Drug Resistance in HIV Infection Using Viral Load	497	(16)
Hua Liang, Waiyuan Tan and Xiaoping Xiong
Chapter 20 Estimating HIV Incidence from a Cross-Sectional Survey with the Less Sensitive Assay	513	(12)
Robert H. Byers, Jr., Dale J. Hu and Robert S. Janssen
Chapter 21 Design of Population Studies of HIV Dynamics	525	(24)
Cong Han and Kathryn Chaloner
Chapter 22 Statistical Estimation, Inference and Hypothesis Testing of Parameters in Ordinary Differential Equations Models of HIV Dynamics	549	(20)
Sarah Holte
Chapter 23 Convergence to an Endemic Stationary Distribution in a Class of Stochastic Models of HIV/AIDS in Homosexual Populations	569	(24)
Charles J. Mode
Index	593