Deterministic and stochastic models of AIDS epidemics and HIV infections with intervention:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
2005
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| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references and index 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 |
| Beschreibung: | 1 Online-Ressource (viii, 601 p.) |
| ISBN: | 1281880973 9781281880970 9789812561398 9789812569264 9812561390 981256926X |
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| 245 | 1 | 0 | |a Deterministic and stochastic models of AIDS epidemics and HIV infections with intervention |c [edited by] Wai-Yuan Tan, Hulin Wu |
| 264 | 1 | |a Singapore |b World Scientific |c 2005 | |
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| 500 | |a Includes bibliographical references and index | ||
| 500 | |a 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 -- | ||
| 500 | |a - 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 -- | ||
| 500 | |a - 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 -- | ||
| 500 | |a - 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 | ||
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| 650 | 4 | |a Mathematisches Modell | |
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| id | DE-604.BV043151550 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:19:03Z |
| institution | BVB |
| isbn | 1281880973 9781281880970 9789812561398 9789812569264 9812561390 981256926X |
| language | English |
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| physical | 1 Online-Ressource (viii, 601 p.) |
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| spelling | Deterministic and stochastic models of AIDS epidemics and HIV infections with intervention [edited by] Wai-Yuan Tan, Hulin Wu Singapore World Scientific 2005 1 Online-Ressource (viii, 601 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index 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 MEDICAL / AIDS & HIV. bisacsh HEALTH & FITNESS / Diseases / AIDS & HIV. bisacsh Biomathematics fast Medicine / Mathematical models fast Acquired Immunodeficiency Syndrome HIV Infections Models, Theoretical Stochastic Processes Mathematisches Modell Medizin Medicine Mathematical models Biomathematics http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=161344 Aggregator Volltext |
| spellingShingle | Deterministic and stochastic models of AIDS epidemics and HIV infections with intervention MEDICAL / AIDS & HIV. bisacsh HEALTH & FITNESS / Diseases / AIDS & HIV. bisacsh Biomathematics fast Medicine / Mathematical models fast Acquired Immunodeficiency Syndrome HIV Infections Models, Theoretical Stochastic Processes Mathematisches Modell Medizin Medicine Mathematical models Biomathematics |
| title | Deterministic and stochastic models of AIDS epidemics and HIV infections with intervention |
| title_auth | Deterministic and stochastic models of AIDS epidemics and HIV infections with intervention |
| title_exact_search | Deterministic and stochastic models of AIDS epidemics and HIV infections with intervention |
| title_full | Deterministic and stochastic models of AIDS epidemics and HIV infections with intervention [edited by] Wai-Yuan Tan, Hulin Wu |
| title_fullStr | Deterministic and stochastic models of AIDS epidemics and HIV infections with intervention [edited by] Wai-Yuan Tan, Hulin Wu |
| title_full_unstemmed | Deterministic and stochastic models of AIDS epidemics and HIV infections with intervention [edited by] Wai-Yuan Tan, Hulin Wu |
| title_short | Deterministic and stochastic models of AIDS epidemics and HIV infections with intervention |
| title_sort | deterministic and stochastic models of aids epidemics and hiv infections with intervention |
| topic | MEDICAL / AIDS & HIV. bisacsh HEALTH & FITNESS / Diseases / AIDS & HIV. bisacsh Biomathematics fast Medicine / Mathematical models fast Acquired Immunodeficiency Syndrome HIV Infections Models, Theoretical Stochastic Processes Mathematisches Modell Medizin Medicine Mathematical models Biomathematics |
| topic_facet | MEDICAL / AIDS & HIV. HEALTH & FITNESS / Diseases / AIDS & HIV. Biomathematics Medicine / Mathematical models Acquired Immunodeficiency Syndrome HIV Infections Models, Theoretical Stochastic Processes Mathematisches Modell Medizin Medicine Mathematical models |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=161344 |