Title
Robustness properties of optimal insulin bolus administrations for type 1 diabetes
Abstract
Type 1 diabetic patients compensate the lack of endogenous insulin by basal delivery and bolus injections at meal-times. Exact dosage of the bolus amount is critical to keep the blood glucose both below the maximum limits and above the hypoglycaemia critical values. Determination of the optimal dosage would require information which in general is not available to the patient, who uses empirical rules of thumb to choose the dosage. Although closed loop control obtained by linking insulin delivery from insulin pumps and continuous glucose monitoring systems may be considered as the ultimate solution, multiple daily insulin injections and finger stick glucose measurements remain the current mode of therapy. This paper is concerned with this conventional insulin treatment and is based on the use of model predictive techniques extended to approximate continuous control output signal by single control moves in time. The paper shows that substituting continuous measurement and insulin delivery with discrete values leads to a suboptimal control performance, but that this residual defect is not essential if compared with estimation errors of model parameters, patient inputs and/or measurements. Furthermore, the approach proposed shows in simulation sufficient robustness margins. Computations are done with an extended Bergman model tuned on available data of Type 1 diabetic patients.
Year
DOI
Venue
2009
10.1109/ACC.2009.5160729
ACC'09 Proceedings of the 2009 conference on American Control Conference
Keywords
DocType
ISSN
endogenous insulin,suboptimal control performance,optimal insulin bolus administration,closed loop control,single control move,insulin pump,robustness property,diabetic patient,conventional insulin treatment,multiple daily insulin injection,insulin delivery,approximate continuous control output,control systems,predictive models,plasmas,rule of thumb,predictive control,diabetes,critical value,insulin,robustness,patient monitoring
Conference
0743-1619
Citations 
PageRank 
References 
4
0.59
4
Authors
4
Name
Order
Citations
PageRank
Harald Kirchsteiger1335.62
Luigi del Re213131.55
Eric Renard3222.83
Margot Mayrhofer440.59