Free terminal time optimal control problem of an HIV model based on a conjugate gradient method

DOI10.1007/s11538-011-9630-zzbMath1334.92233OpenAlexW2120179943WikidataQ44619079 ScholiaQ44619079MaRDI QIDQ263756

Hee-Dae Kwon, Jeehyun Lee, Taesoo Jang

Publication date: 5 April 2016

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

Full work available at URL: https://doi.org/10.1007/s11538-011-9630-z

zbMATH Keywords

optimal controlconjugate gradient methodfree terminal timeHIV dynamics

Mathematics Subject Classification ID

Medical applications (general) (92C50) Medical epidemiology (92C60)

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Cites Work

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• HIV-1 infection and low steady state viral loads
• Predicting differential responses to structured treatment interruptions during HAART
• On restart procedures for the conjugate gradient method
• A new algorithm of nonlinear conjugate gradient method with strong convergence
• Optimal control of the chemotherapy of HIV
• Dynamic multidrug therapies for HIV: Optimal and STI control approaches
• Differential equations. Classical to controlled
• Estimation and prediction with HIV-treatment interruption data
• HIV dynamics: Modeling, data analysis, and optimal treatment protocols
• Global Convergence Properties of Conjugate Gradient Methods for Optimization
• FEEDBACK CONTROL OF THE CHEMOTHERAPY OF HIV
• Modelling HIV immune response and validation with clinical data