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Observer Design for a Nonlinear Minimal Model of Glucose Disappearance and Insulin Kinetics

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Biomedical Engineering Systems and Technologies (BIOSTEC 2014)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 511))

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Abstract

This work deals with an observer design for a nonlinear minimal dynamic model of glucose disappearance and insulin kinetics (GD-IK). At first, the model is transformed into a nonlinear observer normal form. Then, using the knowledge of the plasma blood glucose level, we estimate the state variables that are not directly available from the system, i.e. the remote compartment insulin utilization, the plasma insulin deviation and the infusion rate. In addition, we estimate the amount of absorbed glucose by means of the inverse dynamics.

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Authors and Affiliations

  1. INSA Centre Val de Loire, University of Orléans, PRISME EA 4229, 88 Boulevard Lahitolle, 18020, Bourges, Cedex, France

    Driss Boutat

  2. IUT de Longwy, CRAN-CNRS, UHP Nancy I, 186, Rue de Lorraine, 54400, Cosnes-et-romain, France

    Mohamed Darouach

  3. Faculté des Sciences, de la Technologie Et de la Communication, Université du Luxembourg, 6, Rue Richard Coudenhove-Kalergi, 1359, Luxembourg City, Luxembourg

    Holger Voos

Authors
  1. Driss Boutat
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  2. Mohamed Darouach
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  3. Holger Voos
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Corresponding author

Correspondence to Driss Boutat .

Editor information

Editors and Affiliations

  1. ESEO, ANGERS CEDEX 02, France

    Guy Plantier

  2. Cognitive Systems Lab., Karlsruhe Institute of Technology, Karlsruhe, Baden-Württemberg, Germany

    Tanja Schultz

  3. Technical University of Lisbon, Lisbon, Portugal

    Ana Fred

  4. New University of Lisbon, Lisboa, Portugal

    Hugo Gamboa

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Boutat, D., Darouach, M., Voos, H. (2015). Observer Design for a Nonlinear Minimal Model of Glucose Disappearance and Insulin Kinetics. In: Plantier, G., Schultz, T., Fred, A., Gamboa, H. (eds) Biomedical Engineering Systems and Technologies. BIOSTEC 2014. Communications in Computer and Information Science, vol 511. Springer, Cham. https://doi.org/10.1007/978-3-319-26129-4_17

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  • DOI: https://doi.org/10.1007/978-3-319-26129-4_17

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26128-7

  • Online ISBN: 978-3-319-26129-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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