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Objective: The design of an Artificial Pancreas (AP) to regulate blood glucose levels requires reliable control methods. Model Predictive Control has emerged as a promising approach for glycemia control. However, model--based control…

Optimization and Control · Mathematics 2022-02-02 Claudia Lopez-Zazueta , Øyvind Stavdahl , Anders Lyngvi Fougner

In this paper, several advanced data-driven nonlinear identification techniques are compared on a specific problem: a simplified glucoregulatory system modeling example. This problem represents a challenge in the development of an…

Systems and Control · Computer Science 2018-04-20 Anna Marconato , Maarten Schoukens , Koen Tiels , W. Dhammika Widanage , Amjad Abu-Rmileh , Johan Schoukens

Describing dynamic medical systems using machine learning is a challenging topic with a wide range of applications. In this work, the possibility of modeling the blood glucose level of diabetic patients purely on the basis of measured data…

Machine Learning · Computer Science 2023-03-10 David Jödicke , Daniel Parra , Gabriel Kronberger , Stephan Winkler

The insulin sensitivity (IS) of the human body changes with a circadian rhythm. This adds to the time-varying feature of the glucose metabolism process and places challenges on the blood glucose (BG) control of patients with Type 1 Diabetes…

Systems and Control · Computer Science 2021-01-29 Lukas Ortmann , Dawei Shi , Eyal Dassau , Francis J. Doyle , Steffen Leonhardt , Berno J. E. Misgeld

The Glycemic Index (GI) is a tool for classifying carbohydrates based on their impact on postprandial glycemia, useful for diabetes prevention and management. This study applies a mathematical model for a data driven simulation of the…

Dynamical Systems · Mathematics 2026-04-02 Fabio Credali , Maria Teresa Venuti , Daniele Boffi , Paola Rossi

In this paper, we build a new, simple, and interpretable mathematical model to estimate and forecast physiology related to the human glucose-insulin system, constrained by available data. By constructing a simple yet flexible model class…

Quantitative Methods · Quantitative Biology 2022-09-22 M. Sirlanci , M. E. Levine , C. C. Low Wang , D. J. Albers , A. M. Stuart

We develop a new model of insulin-glucose dynamics for forecasting blood glucose in type 1 diabetics. We augment an existing biomedical model by introducing time-varying dynamics driven by a machine learning sequence model. Our model…

Machine Learning · Statistics 2020-08-10 Andrew C. Miller , Nicholas J. Foti , Emily Fox

Intensive care unit (ICU) patients exhibit erratic blood glucose (BG) fluctuations, including hypoglycemic and hyperglycemic episodes, and require exogenous insulin delivery to keep their BG in healthy ranges. Glycemic control via glycemic…

In the UK, approximately 400,000 people with type 1 diabetes (T1D) rely on insulin delivery due to insufficient pancreatic insulin production. Managing blood glucose (BG) levels is crucial, with continuous glucose monitoring (CGM) playing a…

Machine Learning · Computer Science 2023-12-21 Chengzhe Piao , Ken Li

The conventional method of glucose measurement such as pricking blood from the body is prevalent which brings pain and trauma. Invasive methods of measurement sometimes raise the risk of blood infection to the patient. Sometimes, some of…

Medical Physics · Physics 2023-08-24 Prateek Jain , Amit Joshi , Saraju Mohanty

In this paper, models of the blood glucose (BG) dynamics in people with Type 1 diabetes (T1D) in response to moderate intensity aerobic activity are derived from physiology-based first principles and system identification experiments. We…

Systems and Control · Electrical Eng. & Systems 2023-07-18 Mehrad Jaloli , Marzia Cescon

Forecasting healthcare time series data is vital for early detection of adverse outcomes and patient monitoring. However, it can be challenging in practice due to variable medication administration and unique pharmacokinetic (PK) properties…

Machine Learning · Computer Science 2025-12-17 Willa Potosnak , Cristian Challu , Kin G. Olivares , Keith A. Dufendach , Artur Dubrawski

Traditional models of glucose-insulin dynamics rely on heuristic parameterizations chosen to fit observations within a laboratory setting. However, these models cannot describe glucose dynamics in daily life. One source of failure is in…

Machine Learning · Computer Science 2023-05-17 Ke Alexander Wang , Matthew E. Levine , Jiaxin Shi , Emily B. Fox

Understanding how biomarker distributions evolve over time is a central challenge in digital health and chronic disease monitoring. In diabetes, changes in the distribution of glucose measurements can reveal patterns of disease progression…

Machine Learning · Statistics 2026-03-26 Antonio Álvarez-López , Marcos Matabuena

The research explores a novel mathematical model for closed loop insulin delivery systems, featuring a glucose sensitive membrane. It employs a sophisticated framework of nonlinear reaction diffusion equations and enzyme kinetics. Central…

Analysis of PDEs · Mathematics 2024-11-18 K. Saranya , M. Suguna , Salahuddin

We present a new efficient hybrid parameter estimation method based on the idea, that if nonlinear dynamic models are stated in terms of a system of equations that is linear in terms of the parameters, then regularized ordinary least…

With continuous glucose monitoring (CGM), data-driven models on blood glucose prediction have been shown to be effective in related work. However, such (CGM) systems are not always available, e.g., for a patient at home. In this work, we…

Computers and Society · Computer Science 2024-04-10 Tu Nguyen , Markus Rokicki

An algorithm based on PLS regression has been developed and optimized for measuring blood glucose level using the infra-red transmission spectrum of blood samples. A set of blood samples were tagged with their glucose concentration using an…

Quantitative Methods · Quantitative Biology 2018-04-11 Afarin Aghassizadeh , Mohammad Reza Nematollahi , Iman Mirzaie , Mehdi Fardmanesh

The human insulin-glucose metabolism is a time-varying process, which is partly caused by the changing insulin sensitivity of the body. This insulin sensitivity follows a circadian rhythm and its effects should be anticipated by any…

Systems and Control · Electrical Eng. & Systems 2021-01-29 Lukas Ortmann , Dawei Shi , Eyal Dassau , Francis J. Doyle , Berno J. E. Misgeld , Steffen Leonhardt

Biosensor data has the potential ability to improve disease control and detection. However, the analysis of these data under free-living conditions is not feasible with current statistical techniques. To address this challenge, we introduce…

Applications · Statistics 2021-03-30 Marcos Matabuena , Alexander Petersen , Juan C. Vidal , Francisco Gude
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