Optimal input design for identification of compartmental models. Theory and application to a model of glucose kinetics

DOI10.1016/0025-5564(85)90101-4zbMath0579.92007OpenAlexW2061226468MaRDI QIDQ1068013

Karl Thomaseth, Claudio Cobelli

Publication date: 1985

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(85)90101-4

zbMATH Keywords

computational methodstwo-compartment modeladditive Gaussian noisedesign of optimal inputsglucose kinetics modelmaximum-precision estimatesscalar case

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Medical applications (general) (92C50) Identification in stochastic control theory (93E12) Physiological, cellular and medical topics (92Cxx)

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Cites Work

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• A model of glucose kinetics and their control by insulin, compartmental and noncompartmental approaches
• Control, identification, and input optimization
• Minimal sampling schedules for identification of dynamic models of metabolic systems of clinical interest: Case studies for two liver function tests
• The inverse problem for compartmental systems
• Optimal inputs for blood glucose regulation parameter estimation. III
• On the numerical determination of optimal inputs
• Optimal input signals for parameter estimation in dynamic systems--Survey and new results