Parameter identifiability and estimation of HIV/AIDS dynamic models

DOI10.1007/s11538-007-9279-9zbMath1146.92021OpenAlexW2033980528WikidataQ47939176 ScholiaQ47939176MaRDI QIDQ941127

Alan S. Perelson, Haihong Zhu, Hongyu Miao, Hulin Wu

Publication date: 4 September 2008

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-007-9279-9

zbMATH Keywords

inverse problemidentifiabilitystatistical estimationviral dynamics

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) System identification (93B30) Medical applications (general) (92C50)

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Cites Work

• Unnamed Item
• Optimizing the GARCH model -- an application of two global and two local search methods
• Nonlinear control systems. An algebraic setting
• On global identifiability for arbitrary model parametrizations
• Differential evolution -- a simple and efficient heuristic for global optimization over continuous spaces
• Modeling HIV dynamics and antiviral response with consideration of time-varying drug exposures, adherence and phenotypic sensitivity
• Estimation of HIV/AIDS parameters.
• A Bayesian approach for estimating antiviral efficacy in HIV dynamic models
• New results for identifiability of nonlinear systems
• Mathematical Analysis of HIV-1 Dynamics in Vivo
• Population HIV‐1 Dynamics In Vivo: Applicable Models and Inferential Tools for Virological Data from AIDS Clinical Trials
• Identifiability of nonlinear systems with application to HIV/AIDS models
• IDENTIFIABILITY OF HIV/AIDS MODELS
• Hierarchical Bayesian Methods for Estimation of Parameters in a Longitudinal HIV Dynamic System
• Deterministic and Stochastic Models of AIDS Epidemics and HIV Infections with Intervention