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Authors: Farida Benmakrouha 1 ; Christiane Hespel 1 ; Mikhail V. Foursov 2 and Jean-Pierre Hespel 3

Affiliations: 1 IRISA-INSA, France ; 2 IRISA-Universite de Rennes-1, France ; 3 Centre Hospitalier Universitaire de Rennes, France

Keyword(s): Dynamical system, Bilinear model, Regulation, Stability, Insulin perfusion.

Related Ontology Subjects/Areas/Topics: Biocomputing and Biochips ; Biomedical Engineering ; Biomedical Instruments and Devices ; Devices ; Health Monitoring Devices ; Human-Computer Interaction ; Physiological Computing Systems

Abstract: We study the Bounded-Input-Bounded-Output (BIBO) stability of the system modeling the behavior “insulin delivery/glycaemia” of the diabetic patient, under continuous insulin infusion, continuous glucose monitoring, in order to point out that the patient is entering in a period of stable/unstable equilibrium. The model is a bilinear dynamical system predicting for an interval of 15 minutes, with an average error of 15%. In case of stable equilibrium, the prediction will be valid for a longer time interval, when in case of unstable equilibrium, it will leads one to reduce the time intervals. The BIBO stability is studied by computing the generating series G of the model. This series, generalization of the transfer fuction, is a tool for analyzing the stability of bilinear systems. It is a rational power series in noncommutative variables and by evaluating it, a formal expression of the output in form of iterated integrals is provided. Three cases arise: firstly, the output can be exp licitly computed; secondly, the output can be bounded/unbounded if the input is bounded; thirdly, no conclusion seems available about the BIBO stability by using G. We propose a stabilizing constant input h by studying the univariate series Gh. (More)

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Paper citation in several formats:
Benmakrouha, F.; Hespel, C.; Foursov, M. and Hespel, J. (2009). A WAY FOR PREDICTING AND MANAGING THE GLYCAEMIC INSTABILITY OF THE DIABETIC PATIENT. In Proceedings of the International Conference on Biomedical Electronics and Devices (BIOSTEC 2009) - BIODEVICES; ISBN 978-989-8111- 64-7; ISSN 2184-4305, SciTePress, pages 335-338. DOI: 10.5220/0001121003350338

@conference{biodevices09,
author={Farida Benmakrouha. and Christiane Hespel. and Mikhail V. Foursov. and Jean{-}Pierre Hespel.},
title={A WAY FOR PREDICTING AND MANAGING THE GLYCAEMIC INSTABILITY OF THE DIABETIC PATIENT},
booktitle={Proceedings of the International Conference on Biomedical Electronics and Devices (BIOSTEC 2009) - BIODEVICES},
year={2009},
pages={335-338},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001121003350338},
isbn={978-989-8111- 64-7},
issn={2184-4305},
}

TY - CONF

JO - Proceedings of the International Conference on Biomedical Electronics and Devices (BIOSTEC 2009) - BIODEVICES
TI - A WAY FOR PREDICTING AND MANAGING THE GLYCAEMIC INSTABILITY OF THE DIABETIC PATIENT
SN - 978-989-8111- 64-7
IS - 2184-4305
AU - Benmakrouha, F.
AU - Hespel, C.
AU - Foursov, M.
AU - Hespel, J.
PY - 2009
SP - 335
EP - 338
DO - 10.5220/0001121003350338
PB - SciTePress