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Related papers: Optimal Responses to Constrained Bolus Inputs to M…

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We characterise optimality of bolus insulin inputs, to the Bergman minimal model, by the predicted behaviour of the plasma glucose concentration for a given disturbance. The result is derived subject to the constraints that the plasma…

Optimization and Control · Mathematics 2017-06-27 Christopher Townsend , Maria M. Seron

The Bergman minimal model is a dynamic model of plasma glucose concentration. It has two input variables -- insulin delivery and carbohydrate intake. We investigate the behaviour of plasma glucose concentration predicted by the model given…

Optimization and Control · Mathematics 2017-03-10 Christopher Townsend , Maria M. Seron , Graham C. Goodwin

Patients with diabetes who are self-monitoring have to decide right before each meal how much insulin they should take. A standard bolus advisor exists, but has never actually been proven to be optimal in any sense. We challenged this rule…

Machine Learning · Statistics 2020-07-24 Frédéric Logé , Erwan Le Pennec , Habiboulaye Amadou-Boubacar

Diabetes mellitus is a global health crisis characterized by poor blood sugar regulation, impacting millions of people worldwide and leading to severe complications and mortality. Although Type 1 Diabetes Mellitus (T1DM) has a lower number…

Other Quantitative Biology · Quantitative Biology 2025-04-14 Rinrada Jadsadaphongphaibool , Dadi Bi , Christian D. Lorenz , Yansha Deng , Robert Schober

The Glucose-Insulin-Glucagon nonlinear model [1-4] accurately describes how the body responds to exogenously supplied insulin and glucagon in patients affected by Type I diabetes. Based on this model, we design infusion rates of either…

Tissues and Organs · Quantitative Biology 2019-06-19 Afroza Shirin , Fabio Della Rossa , Isaac Klickstein , John Russell , Francesco Sorrentino

The mathematical modelling of biological systems has historically followed one of two approaches: comprehensive and minimal. In comprehensive models, the involved biological pathways are modelled independently, then brought together as an…

Dynamical Systems · Mathematics 2021-11-16 Eric Ng , Jaycee Morgan Kaufman , Lennaert van Veen , Yan Fossat

Type 1 Diabetes (T1D) is an autoimmune disease leading to insulin insufficiency. Thus, patients require lifelong insulin therapy, which has a side effect of hypoglycemia. Hypoglycemia is a critical state of decreased blood glucose levels…

Machine Learning · Computer Science 2026-01-21 Beyza Cinar , Louisa van den Boom , Maria Maleshkova

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

Effective postprandial glucose control is important to glucose management for subjects with diabetes mellitus. In this work, a data-driven meal bolus decision method is proposed without the need of subject-specific glucose management…

Systems and Control · Electrical Eng. & Systems 2021-01-21 Deheng Cai , Wei Liu , Linong Ji , Dawei Shi

While the Artificial Pancreas is effective in regulating the blood glucose in the safe range of 70-180 mg/dl in type 1 diabetic patients, the high intra-patient variability, as well as exogenous meal disturbances, poses a serious challenge.…

Systems and Control · Electrical Eng. & Systems 2022-06-30 Bhabani Shankar Dey , Anirudh Nath , Abhilash Patel , Indra Narayan Kar

Type 1 Diabetes is a chronic autoimmune condition in which the immune system attacks and destroys insulin-producing beta cells in the pancreas, resulting in little to no insulin production. Insulin helps glucose in your blood enter your…

Quantitative Methods · Quantitative Biology 2025-02-04 Soon Jynn Chu , Nalaka Amarasiri , Sandesh Giri , Priyata Kafle

In this paper, we present a model free approach to calculate long-acting insulin doses for Type 2 Diabetic (T2D) subjects in order to bring their blood glucose (BG) concentration to be within a safe range. The proposed strategy tunes the…

Systems and Control · Electrical Eng. & Systems 2022-12-29 Mohamad Al Ahdab , Torben Knudsen , Jakob Stoustrup , John Leth

Patients with Type I Diabetes (T1D) must take insulin injections to prevent the serious long term effects of hyperglycemia - high blood glucose (BG). Patients must also be careful not to inject too much insulin because this could induce…

Machine Learning · Computer Science 2019-04-01 Neil C. Borle , Edmond A. Ryan , Russell Greiner

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

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

Type 1 diabetes (T1D) is an autoimmune disorder that leads to the destruction of insulin-producing cells, resulting in insulin deficiency, as to why the affected individuals depend on external insulin injections. However, insulin can…

Machine Learning · Computer Science 2026-04-27 Beyza Cinar , Maria Maleshkova

Type 1 diabetes (T1D) management can be significantly enhanced through the use of predictive machine learning (ML) algorithms, which can mitigate the risk of adverse events like hypoglycemia. Hypoglycemia, characterized by blood glucose…

Quantitative Methods · Quantitative Biology 2025-04-02 Beyza Cinar , Jennifer Daniel Onwuchekwa , Maria Maleshkova

Self-monitoring of blood glucose (SMBG) and continuous glucose monitoring (CGM) are commonly used by type 1 diabetes (T1D) patients to measure glucose concentrations. The proposed adaptive basal-bolus algorithm (ABBA) supports inputs from…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Qingnan Sun , Marko V. Jankovic , João Budzinski , Brett Moore , Peter Diem , Christoph Stettler , Stavroula G. Mougiakakou

Type 1 Diabetes (T1D) affects millions worldwide, requiring continuous monitoring to prevent severe hypo- and hyperglycemic events. While continuous glucose monitoring has improved blood glucose management, deploying predictive models on…

Machine Learning · Computer Science 2025-11-27 Mirko Paolo Barbato , Giorgia Rigamonti , Davide Marelli , Paolo Napoletano

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…

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