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A Simple Modeling Framework For Prediction In The Human Glucose-Insulin System

Albers, D. J. and Levine, M. E. and Sirlanci, M. and Stuart, A. M. (2019) A Simple Modeling Framework For Prediction In The Human Glucose-Insulin System. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20201109-140952547

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Abstract

In this paper, we build a new, simple, and interpretable mathematical model to describe the human glucose-insulin system. Our ultimate goal is the robust control of the blood glucose (BG) level of individuals to a desired healthy range, by means of adjusting the amount of nutrition and/or external insulin appropriately. By constructing a simple yet flexible model class, with interpretable parameters, this general model can be specialized to work in different settings, such as type 2 diabetes mellitus (T2DM) and intensive care unit (ICU); different choices of appropriate model functions describing uptake of nutrition and removal of glucose differentiate between the models. In both cases, the available data is sparse and collected in clinical settings, major factors that have constrained our model choice to the simple form adopted. The model has the form of a linear stochastic differential equation (SDE) to describe the evolution of the BG level. The model includes a term quantifying glucose removal from the bloodstream through the regulation system of the human body, and another two terms representing the effect of nutrition and externally delivered insulin. The parameters entering the equation must be learned in a patient-specific fashion, leading to personalized models. We present numerical results on patient-specific parameter estimation and future BG level forecasting in T2DM and ICU settings. The resulting model leads to the prediction of the BG level as an expected value accompanied by a band around this value which accounts for uncertainties in the prediction. Such predictions, then, have the potential for use as part of control systems which are robust to model imperfections and noisy data. Finally, a comparison of the predictive capability of the model with two different models specifically built for T2DM and ICU contexts is also performed.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1910.14193arXivDiscussion Paper
Additional Information:We acknowledge financial support from NIH RO1 LM012734 "Mechanistic Machine Learning". DA acknowledges helpful discussions with Bruce Gluckman, Rammah Abohtyra and Cecilia Diniz Behn. The authors have no conflicting or competing interests to declare.
Funders:
Funding AgencyGrant Number
NIHRO1 LM012734
Record Number:CaltechAUTHORS:20201109-140952547
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201109-140952547
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106557
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:09 Nov 2020 23:08
Last Modified:09 Nov 2020 23:08

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