Reduced hypoglycemia risk in insulin bolus therapy using asymmetric cost functions

Harald Kirchsteiger, Luigi Del Re

Research output: Chapter in Book/Report/Conference proceedingsConference contributionpeer-review

8 Citations (Scopus)


A healthy glucose regulatory metabolism keeps blood glucose concentration in a relatively small range by producing insulin to store excessive blood glucose in the liver and other mechanisms, in particular glucagon, to release glucose from the liver into the blood if necessary. Type 1 diabetic patients do not have sufficient endogenous insulin and have to compensate its lack by external administrations. This paper is concerned with the multiple daily insulin injections (MDII) case. Insufficient insulin administration leads to high blood glucose values which cause dangerous long term effects, while excessive insulin can lead to very low glucose concentrations and, as a consequence, coma. Therefore, the control problem solved by the patient can be described in terms of a constrained optimal problem with input and state constraints, this being probably the cause of the large interest in the use of model predictive control (MPC) for this problem. Unfortunately, to respect the output constraint problem, MPC needs models, and diabetes models tend to be very imprecise. Against this background, this paper proposes to use an asymmetric cost function to replace the output constraints. A simulation study is used to assess the potential advantage in terms of sensitivity to model error and thus the hypoglycaemia risk associated to the use of MPC in this therapy.

Original languageEnglish
Title of host publicationProceedings of 2009 7th Asian Control Conference, ASCC 2009
Number of pages6
Publication statusPublished - 2009
Externally publishedYes
Event2009 7th Asian Control Conference, ASCC 2009 - Hong Kong, China
Duration: 27 Aug 200929 Aug 2009

Publication series

NameProceedings of 2009 7th Asian Control Conference, ASCC 2009


Conference2009 7th Asian Control Conference, ASCC 2009
CityHong Kong


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