Within-host virus models with periodic antiviral therapy

DOI10.1007/s11538-008-9359-5zbMath1169.92024arXiv0801.4384OpenAlexW2155135559WikidataQ45387952 ScholiaQ45387952MaRDI QIDQ841791

Patrick De Leenheer

Publication date: 18 September 2009

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

Full work available at URL: https://arxiv.org/abs/0801.4384

zbMATH Keywords

optimizationHCVHIVHBVinfluenzamalariaperiodic drug treatment

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Medical applications (general) (92C50) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Cites Work

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• Predicting differential responses to structured treatment interruptions during HAART
• Optimal control of the chemotherapy of HIV
• Emergence of HIV-1 drug resistance during antiretroviral treatment
• Modeling within-host evolution of HIV: mutation, competition and strain replacement
• Drug-sparing regimens for HIV combination therapy: Benefits predicted for ``drug coasting
• Periodically varying antiviral therapies: conditions for global stability of the virus free state
• Multistrain virus dynamics with mutations: a global analysis
• Mathematical Analysis of HIV-1 Dynamics in Vivo
• Virus Dynamics: A Global Analysis
• Production of resistant HIV mutants during antiretroviral therapy

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