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In the Oral Glucose Tolerance Test (OGTT), a patient, after an overnight fast ingests a load of glucose. Then measurements of glucose concentration are taken every 30 minutes during two hours. The test is used to aid diagnosis of diabetes,…

Applications · Statistics 2017-11-27 Miguel Angel Moreles , Joaquin Peña , Paola Vargas , Adriana Monroy , Silvestre Alavez

A mathematical model for fluid transport in peritoneal dialysis is constructed. The model is based on a three-component nonlinear system of two-dimensional partial differential equations for fluid, glucose and albumin transport with the…

Analysis of PDEs · Mathematics 2011-10-07 Roman Cherniha , Jacek Waniewski

Type 1 diabetes is a serious disease in which individuals are unable to regulate their blood glucose levels, leading to various medical complications. Artificial pancreas (AP) systems have been developed as a solution for type 1 diabetic…

Signal Processing · Electrical Eng. & Systems 2023-05-18 Ke Ma , Hongkai Chen , Shan Lin

A variety of oscillations are observed in pancreatic islets.We establish a model, incorporating two oscillatory systems of different time scales: One is the well-known bursting model in pancreatic beta-cells and the other is the…

Cell Behavior · Quantitative Biology 2009-11-11 H. Kang , J. Jo , H. J. Kim , M. Y. Choi , S. W. Rhee , D. S. Koh

Many coarse-grained models have been developed for equilibrium studies of lipid bilayer membranes. To achieve in simulations access to length-scales and time-scales difficult to attain in fully atomistic molecular dynamics, these…

Soft Condensed Matter · Physics 2023-02-28 Yaohong Wang , Jon Karl Sigurdsson , Paul J. Atzberger

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

Due to the sensitive nature of diabetes-related data, preventing them from being shared between studies, progress in the field of glucose prediction is hard to assess. To address this issue, we present GLYFE (GLYcemia Forecasting…

Signal Processing · Electrical Eng. & Systems 2020-06-30 Maxime De Bois , Mehdi Ammi , Mounîm A. El Yacoubi

Managing Type 1 Diabetes (T1D) demands constant vigilance as individuals strive to regulate their blood glucose levels and avoid dysglycemia, including hyperglycemia and hypoglycemia. Despite advances in automated insulin delivery (AID)…

Machine Learning · Computer Science 2026-02-26 Saman Khamesian , Asiful Arefeen , Maria Adela Grando , Bithika M. Thompson , Hassan Ghasemzadeh

We develop, analyse and numerically simulate a model of a prototype, glucose-driven, rhythmic drug delivery device, aimed at hormone therapies, and based on chemomechanical interaction in a polyelectrolyte gel membrane. The pH-driven…

Chemical Physics · Physics 2016-04-07 M. Carme Calderer , Yoichiro Mori , Ronald A. Siegel , Lingxing Yao

\begin{abstract} We model individual T2DM patient blood glucose level (BGL) by stochastic process with discrete number of states mainly but not solely governed by medication regimen (e.g. insulin injections). BGL states change otherwise…

Quantitative Methods · Quantitative Biology 2017-10-24 Mark Shifrin , Hava Siegelmann

In this study, we present a dual-modal AI framework based on short-wave infrared (SWIR) spectroscopy. The first modality employs a multi-wavelength SWIR imaging system coupled with convolutional neural networks (CNNs) to capture spatial…

Image and Video Processing · Electrical Eng. & Systems 2025-06-18 El Arbi Belfarsi , Henry Flores , Maria Valero

To best of the authors knowledge, this article presents the first-ever non-invasive glucometer that takes into account serum glucose for high accuracy. In case of blood glucose measurement, serum glucose value has always been considered…

Signal Processing · Electrical Eng. & Systems 2021-06-28 Prateek Jain , Amit M Joshi , Navneet Agrawal , Saraju Mohanty

Given the growing prevalence of diabetes, there has been significant interest in determining how diabetes affects instrumental daily functions, like driving. Complication of glucose control in diabetes includes hypoglycemic and…

Recent advances in biochemical computing, i.e., information processing with cascades of primarily enzymatic reactions realizing computing gates, such as AND, OR, etc., as well as progress in networking these gates and coupling of the…

Biological Physics · Physics 2010-10-12 Vladimir Privman , Evgeny Katz , Joseph Wang

The problem of real time prediction of blood glucose (BG) levels based on the readings from a continuous glucose monitoring (CGM) device is a problem of great importance in diabetes care, and therefore, has attracted a lot of research in…

Machine Learning · Computer Science 2021-06-30 H. N. Mhaskar , S. V. Pereverzyev , M. D. van der Walt

Design and characterisation of capsules is not an easy task owing to the multiple involved preparation factors and parameters. Here, a novel method to characterise capsule membrane permeability to solute molecules by an inverse approach is…

Medical Physics · Physics 2021-11-03 Clément Bielinski , Badr Kaoui

Diabetes is a chronic metabolic disorder characterized by persistently high blood glucose levels (BGLs), leading to severe complications such as cardiovascular disease, neuropathy, and retinopathy. Predicting BGLs enables patients to…

Diabetes Mellitus is a metabolic disorder which may result in severe and potentially fatal complications if not well-treated and monitored. In this study, a quantitative analysis of the data collected using CGM (Continuous Glucose…

Quantitative Methods · Quantitative Biology 2023-08-15 Giulia Elena Aliffi , Giovanni Nastasi , Vittorio Romano , Dario Pitocco , Alessandro Rizzi , Elvin J. Moore , Andrea De Gaetano

Background: Type 2 diabetes mellitus (T2DM) is increasingly recognised as a systemic disease characterised by coordinated dysfunction across metabolic, renal, lipid, and inflammatory pathways. Existing clinical assessments often fail to…

Machine Learning · Computer Science 2026-05-26 Mini Han Wang , Liting Huang , Wei Hong , Boonthawan Wingwon

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