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Uncertainties and Modeling Errors of Type 1 Diabetes Models

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Prediction Methods for Blood Glucose Concentration

Part of the book series: Lecture Notes in Bioengineering ((LNBE))

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Abstract

Modeling and control are tightly connected if we want to guarantee safety and reliability. These are minimum requirements in the medical field. The more sophisticated methods usually require information beyond the available measurements, and one way or another incorporate all a priori knowledge. This can manifest in state estimation, model-based prediction, or robust design assuming the worst case, among others. The better the model the better the achievable control; however, all aspects of modeling are more difficult in the case of physiological systems compared to regular engineering applications. In the following, we will investigate how various errors resulting from modeling inaccuracies affect the prediction of the behavior in case of blood glucose prediction. Sigma-point filters are used to efficiently support Kalman filtering, while the error sources are introduced in a single uncertainty block.

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Acknowledgments

Levente Kovács is Bolyai Fellow of the Hungarian Academy of Sciences. The work is partially supported by the Hungarian National Development Agency GOP-1.1.1.-11-2012-0055 project and by the European Union TÁMOP-4.2.2.A-11/1/KONV-2012-0073 project.

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Authors and Affiliations

  1. Physiological Controls Group, Applied Informatics Institute, John von Neumann Faculty of Informatics, Obuda University, Budapest, Hungary

    Levente Kovács

  2. Department of Control Engineering and Information Technology, Budapest University of Technology and Economics, Budapest, Hungary

    Péter Szalay

Authors
  1. Levente Kovács
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  2. Péter Szalay
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Correspondence to Levente Kovács .

Editor information

Editors and Affiliations

  1. Institute for Design and Control of Mechatronical Systems, Johannes Kepler University Linz, Linz, Austria

    Harald Kirchsteiger

  2. Department of Applied Mathematics and Computer Science, Technical University of Denmark, Kongens Lyngby, Denmark

    John Bagterp Jørgensen

  3. Institut de Génomique Fonctionnelle de Montpellier, Montpellier cedex 5, France

    Eric Renard

  4. Institute for Design and Control of Mechatronical Systems, Johannes Kepler University Linz, Linz, Austria

    Luigi del Re

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Kovács, L., Szalay, P. (2016). Uncertainties and Modeling Errors of Type 1 Diabetes Models. In: Kirchsteiger, H., Jørgensen, J., Renard, E., del Re, L. (eds) Prediction Methods for Blood Glucose Concentration. Lecture Notes in Bioengineering. Springer, Cham. https://doi.org/10.1007/978-3-319-25913-0_11

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  • DOI: https://doi.org/10.1007/978-3-319-25913-0_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25911-6

  • Online ISBN: 978-3-319-25913-0

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