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

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

doi:10.23919/ACC.2017.7963634

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

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

Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

5 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 language	English (US)
Title of host publication	2017 American Control Conference, ACC 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4412-4417
Number of pages	6
ISBN (Electronic)	9781509059928
DOIs	https://doi.org/10.23919/ACC.2017.7963634
State	Published - Jun 29 2017
Event	2017 American Control Conference, ACC 2017 - Seattle, United States Duration: May 24 2017 → May 26 2017

Publication series

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

Other

Other	2017 American Control Conference, ACC 2017
Country/Territory	United States
City	Seattle
Period	5/24/17 → 5/26/17

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

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10.23919/ACC.2017.7963634

Cite this

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). Article 7963634 (Proceedings of the American Control Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.23919/ACC.2017.7963634

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title = "Optimal meal time after bolusing for Type 1 diabetes patients under meal uncertainties",

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.",

author = "Souransu Nandi and Tarunraj Singh and Mastrandrea, \{Lucy D.\} and Puneet Singla",

note = "Publisher Copyright: {\textcopyright} 2017 American Automatic Control Council (AACC).; 2017 American Control Conference, ACC 2017 ; Conference date: 24-05-2017 Through 26-05-2017",

year = "2017",

month = jun,

day = "29",

doi = "10.23919/ACC.2017.7963634",

language = "English (US)",

series = "Proceedings of the American Control Conference",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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Nandi, S, Singh, T, Mastrandrea, LD & Singla, P 2017, Optimal meal time after bolusing for Type 1 diabetes patients under meal uncertainties. in 2017 American Control Conference, ACC 2017., 7963634, Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 4412-4417, 2017 American Control Conference, ACC 2017, Seattle, United States, 5/24/17. https://doi.org/10.23919/ACC.2017.7963634

Optimal meal time after bolusing for Type 1 diabetes patients under meal uncertainties. / Nandi, Souransu; Singh, Tarunraj; Mastrandrea, Lucy D. et al.
2017 American Control Conference, ACC 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 4412-4417 7963634 (Proceedings of the American Control Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Optimal meal time after bolusing for Type 1 diabetes patients under meal uncertainties

AU - Nandi, Souransu

AU - Singh, Tarunraj

AU - Mastrandrea, Lucy D.

AU - Singla, Puneet

PY - 2017/6/29

Y1 - 2017/6/29

N2 - 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.

AB - 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.

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M3 - Conference contribution

AN - SCOPUS:85027044785

T3 - Proceedings of the American Control Conference

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EP - 4417

BT - 2017 American Control Conference, ACC 2017

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2017 American Control Conference, ACC 2017

Y2 - 24 May 2017 through 26 May 2017

ER -

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

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