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Diabetes is a chronic condition, considered one of the civilization diseases, that is characterized by sustained high blood sugar levels. There is no doubt that more and more people is going to suffer from diabetes, hence it is crucial to…

Other Quantitative Biology · Quantitative Biology 2024-05-21 Kamila Barylska , Anna Gogolińska

Pancreatic islets are functional units involved in glucose homeostasis. The multicellular system comprises three main cell types; $\beta$ and $\alpha$ cells reciprocally decrease and increase blood glucose by producing insulin and glucagon…

Tissues and Organs · Quantitative Biology 2016-07-20 Danh-Tai Hoang , Manami Hara , Junghyo Jo

Pancreatic islets, controlling glucose homeostasis, consist of \alpha, \beta, and \delta\ cells. It has been observed that \alpha\ and \beta\ cells generate out-of-phase synchronization in the release of glucagon and insulin,…

Cell Behavior · Quantitative Biology 2015-06-17 Hyunsuk Hong , Junghyo Jo , Sang-Jin Sin

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

Pancreatic $\beta$-cells play a central role in maintaining glucose homeostasis through the pulsatile secretion of insulin. This essential function relies not only on intracellular regulatory mechanisms but also on coordinated interactions…

Biological Physics · Physics 2025-12-17 Carine Simo , Venceslas Nguefoue Meli , Patrick Louodop , Samuel Bowong , Thierry Njougouo

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

Maintenance of adequate physical and functional pancreatic $\beta$-cell mass is critical for the prevention or delay of diabetes mellitus. It is well established that insulin potently activates mitogenic and anti-apoptotic signaling…

Dynamical Systems · Mathematics 2024-06-04 Changbing Hu , Junyuan Yang , James D. Johnson , Jiaxu Li

Glucose homeostasis is controlled by the islets of Langerhans which are equipped with alpha-cells increasing the blood glucose level, beta-cells decreasing it, and delta-cells the precise role of which still needs identifying. Although…

Tissues and Organs · Quantitative Biology 2009-01-28 Junghyo Jo , Moo Young Choi , Duk-Su Koh

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

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

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

Cells of almost all solid tissues are connected with gap junctions which permit the direct transfer of ions and small molecules, integral to regulating coordinated function in the tissue. The pancreatic islets of Langerhans are responsible…

Biological Physics · Physics 2013-08-06 Pranay Goel , Anita Mehta

Diabetes, a chronic condition that impairs how the body turns food into energy, i.e. blood glucose, affects 38 million people in the US alone. The standard treatment is to supplement carbohydrate intake with an artificial pancreas, i.e. a…

Quantitative Methods · Quantitative Biology 2025-08-26 Ashok Khanna , Olivier Francon , Risto Miikkulainen

Major part of a pancreatic islet is composed of beta cells that secrete insulin, a key hormone regulating influx of nutrients into all cells in a vertebrate organism to support nutrition, housekeeping or energy storage. Beta cells…

Biological Physics · Physics 2017-10-13 Dean Korošak , Marjan Slak Rupnik

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

Counter-regulatory elements maintain dynamic equilibrium ubiquitously in living systems. The most prominent example, which is critical to mammalian survival, is that of pancreatic {\alpha} and {\beta} cells producing glucagon and insulin…

Tissues and Organs · Quantitative Biology 2024-02-14 Dong-Ho Park , Taegeun Song , Danh-Tai Hoang , Jin Xu , Junghyo Jo

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

Pancreatic $\beta-$cells regulate insulin secretion through complex oscillations, which are vital for glucose control and diabetes research. In this paper, an existing mathematical model of $\beta-$cell dynamics is analyzed using a…

Dynamical Systems · Mathematics 2025-05-27 Navojit Dhali Pallab

People with diabetes need insulin delivery to effectively manage their blood glucose levels, especially after meals, because their bodies either do not produce enough insulin or cannot fully utilize it. Accurate insulin delivery starts with…

Systems and Control · Electrical Eng. & Systems 2024-11-21 Hanyu Zeng , Hui Ji , Pengfei Zhou

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
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