The minimal model of glucose disappearance: Optimal input studies

DOI10.1016/0025-5564(87)90107-6zbMath0614.92004OpenAlexW2027747247MaRDI QIDQ1820708

Claudio Cobelli, Karl Thomaseth

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0025-5564(87)90107-6

zbMATH Keywords

Pontryagin's maximum principleoptimal input designminimal modeldiabetic caseeffect of insulin on glucose uptakeequidoseequienergyglucose disappearancemetabolic parameters

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Nonlinear systems in control theory (93C10) Medical applications (general) (92C50) Identification in stochastic control theory (93E12) Control/observation systems governed by ordinary differential equations (93C15) Physiological, cellular and medical topics (92Cxx)

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Cites Work

• Unnamed Item
• A model of glucose kinetics and their control by insulin, compartmental and noncompartmental approaches
• Control, identification, and input optimization
• Optimal input design for identification of compartmental models. Theory and application to a model of glucose kinetics
• An integrated mathematical model of the dynamics of blood glucose and its hormonal control
• Optimal input signals for parameter estimation in dynamic systems--Survey and new results