Optimal Responses to Constrained Bolus Inputs to Models of T1D

Title: Optimal Responses to Constrained Bolus Inputs to Models of T1D
Creator: Townsend, Christopher; Seron, Maria M.; Magdelaine, Nicolas
Relation: 18th IFAC Workshop on Control Applications of Optimization CAO 2022. Proceedings of the 18th IFAC Workshop on Control Applications of Optimization CAO 2022 [presented in IFAC-PapersOnLine, Vol. 55 No.16] (Gif sur Yvette, FRANCE 18-22 July, 2022) p. 190-195
Publisher Link: http://dx.doi.org/10.1016/j.ifacol.2022.09.022
Publisher: Elsevier
Resource Type: conference paper
Date: 2022
Description: We characterise the bolus insulin input which minimises the maximum plasma glucose concentration predicted by the Magdelaine and Bergman minimal models in response to any positive bounded disturbance whilst remaining above a fixed lower plasma glucose concentration. This characterisation is in terms of the maxima and minima of the plasma glucose concentration and limits the controllability of such systems. Any further attempt to lower the maximum plasma glucose concentration will result in hypoglycaemia.
Subject: optimal control; model-based predictive control; insulin; glucose
Identifier: http://hdl.handle.net/1959.13/1492410
Identifier: uon:53334
Identifier: ISSN:2405-8963
Language: eng
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