Optimal meal time after bolusing for Type 1 diabetes patients under meal uncertainties

Souransu Nandi, Tarunraj Singh, Lucy D. Mastrandrea, Puneet Singla

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

2 Scopus citations

Abstract

The focus of this paper is on the characterization of the uncertainties in the evolving states of a diabetic model, to permit a study of the impact of the time interval between insulin bolusing and meal initiation on hypo- and hyperglycemic events. A polynomial chaos based approach is used to characterize the independent uncertainties in the initial condition and meal size. Galerkin projection of the resulting equations reduce the stochastic differential equations to a set of deterministic equations. This forms the framework to optimize for the post bolusing time to initiate the meal. Two cost functions are considered which correspond to the postprandial hypo- and hyperglycemic excursions of the blood glucose. Numerical results from the minimal Bergman model suggest a 13 and 14 minute interval between bolusing and the initiation of the meal.

Original languageEnglish (US)
Title of host publication2017 American Control Conference, ACC 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4412-4417
Number of pages6
ISBN (Electronic)9781509059928
DOIs
StatePublished - Jun 29 2017
Event2017 American Control Conference, ACC 2017 - Seattle, United States
Duration: May 24 2017May 26 2017

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2017 American Control Conference, ACC 2017
CountryUnited States
CitySeattle
Period5/24/175/26/17

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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    Nandi, S., Singh, T., Mastrandrea, L. D., & Singla, P. (2017). Optimal meal time after bolusing for Type 1 diabetes patients under meal uncertainties. In 2017 American Control Conference, ACC 2017 (pp. 4412-4417). [7963634] (Proceedings of the American Control Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACC.2017.7963634