Nonlinear analysis of type 1 diabetes models by differential geometric approach

Péter Szalay, Péter István Sas, László Barkai, Levente Kovács

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

The control of physiological systems is a highly demanding task. The requirements are strict and there is a little margin of error, since failure can directly endanger the patient's life. In the same time the performance of the available sensors and actuators are limited in most cases, leaving even higher burden on the control algorithm. Finally the models themselves, which can describe the biophysical and biochemical processes that are most significantly linked to the system we wish to regulate, are rather complex and nonlinear in nature. In general, linear model-based approaches are used, but linearization gives a first source of errors in the further development. The aim of this paper is to investigate two frequently used models describing the metabolism of the human body in case of Type 1 Diabetes Mellitus (T1DM) from nonlinear control perspective: the model presented by Magni et al. (2009) and Hovorka et al. (2004). These models will be investigated using differential geometric approach for the first time.

Original languageEnglish
Title of host publicationProceedings of the 8th IFAC Symposium on Biological and Medical Systems, BMS 2012
PublisherIFAC Secretariat
Pages55-60
Number of pages6
Edition18
ISBN (Print)9783902823106
DOIs
Publication statusPublished - Jan 1 2012
Event8th IFAC Symposium on Biological and Medical Systems, BMS 2012 - Budapest, Hungary
Duration: Aug 29 2012Aug 31 2012

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number18
Volume45
ISSN (Print)1474-6670

Other

Other8th IFAC Symposium on Biological and Medical Systems, BMS 2012
CountryHungary
CityBudapest
Period8/29/128/31/12

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Keywords

  • Controllability
  • Nonlinear control
  • Observability
  • Relative degree
  • Type 1 diabetes

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Szalay, P., Sas, P. I., Barkai, L., & Kovács, L. (2012). Nonlinear analysis of type 1 diabetes models by differential geometric approach. In Proceedings of the 8th IFAC Symposium on Biological and Medical Systems, BMS 2012 (18 ed., pp. 55-60). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 45, No. 18). IFAC Secretariat. https://doi.org/10.3182/20120829-3-HU-2029.00100