Insights to the minimal model of insulin secretion through a mean-field beta cell model (original) (raw)
Mathematical Beta Cell Model for Insulin Secretion following IVGTT and OGTT
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Annals of Biomedical Engineering, 2006
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Mohammed Saad
Diabetes Technology & Therapeutics, 2003
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Cellular modeling: insight into oral minimal models of insulin secretion
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American Journal of Physiology-endocrinology and Metabolism, 2010
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Kyungreem Han
islets, 2012
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Peter Buchwald
Theoretical Biology and Medical Modelling, 2011
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β-cell function during insulin-modified intravenous glucose tolerance test successfully assessed by the C-peptide minimal model
Gianna Toffolo
Metabolism, 1999
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MP Modelling of Glucose-Insulin Interactions in the Intravenous Glucose Tolerance Test
Roberto Pagliarini
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Minimal Modeling of Glucose Insulin Interactions in the Intravenous Glucose Tolerance Test
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Applied Mathematical Sciences
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Mathematical modeling of the glucose–insulin system: A review
Susanne Ditlevsen
Mathematical Biosciences, 2013
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Ankit Dwivedi
SIAM Undergraduate Research Online, 2014
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The integrated glucose insulin minimal model: An improved version
Moustafa M. A. Ibrahim
European Journal of Pharmaceutical Sciences, 2019
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A Model of β -Cell Mass, Insulin, and Glucose Kinetics: Pathways to Diabetes
Keith Promislow
Journal of Theoretical Biology, 2000
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A comparison among three maximal mathematical models of the glucose-insulin system
Simona Panunzi
PLOS ONE, 2021
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Correlations of rates of insulin release from islets and plateau fractions for β-cells
Mark Pernarowski
Bulletin of Mathematical Biology, 1995
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Systemically modeling the dynamics of plasma insulin in subcutaneous injection of insulin analogues for type 1 diabetes
Jiaxu Li
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A minimal model of insulin secretion and kinetics to assess hepatic insulin extraction
Gianna Toffolo
AJP: Endocrinology and Metabolism, 2005
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Quantitative estimation of beta cell sensitivity to glucose in the intact organism: a minimal model of insulin kinetics in the dog
Gianna Toffolo
Diabetes, 1980
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Assessing the Effect of Incretin Hormones and Other Insulin Secretagogues on Pancreatic Beta-Cell Function: Review on Mathematical Modelling Approaches
Giovanni Pacini
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A Unifying Organ Model of Pancreatic Insulin Secretion
Simona Panunzi
PLOS ONE, 2015
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A modified minimal model analysis of insulin sensitivity and glucose-mediated glucose disposal in insulin-dependent diabetes
Glenn Ward
Metabolism, 1991
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Consistency of compact and extended models of glucose-insulin homeostasis: The role of variable pancreatic reserve
Simona Panunzi
PLOS ONE, 2019
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Mathematical Modelling and Simulation of β-Cell Mass, Insulin and Glucose Dynamics: Effect of Genetic Predisposition to Diabetes
Scientific Research Publishing
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Glucose dynamics in Type I diabetes: Insights from the classic and linear minimal models
Dan Streja
Computers in Biology and Medicine, 2007
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The Modeling of the Insulin Exocytosis after a Glycemic Stimulus
Oana Dumitrache
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Nonparametric Modeling and Model-Based Control of the Insulin-Glucose System
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RECEPTOR-BASED MODELS OF INSULIN SATURATION DYNAMICS
Geoff Chase
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Insulin Release in Impaired Glucose Tolerance: Oral Minimal Model Predicts Normal Sensitivity to Glucose but Defective Response Times
Gianna Toffolo
Diabetes, 2002
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Clinical evaluation and interpretation of a proportional-derivative control model for endogenous insulin secretion response to glucose
Paul Docherty
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Insulin release at the molecular level: Metabolic-electrophysiological modeling of the pancreatic beta-cells
M. Bove
IEEE Transactions on Biomedical Engineering, 2000
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A kinetic core model of the glucose-stimulated insulin secretion network of pancreatic β cells
John Hancock
Mammalian Genome, 2007
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Modeling insulin kinetics: responses to a single oral glucose administration or ambulatory-fed conditions
Y. Lenbury
Biosystems, 2001
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MINIMAL MODEL MODIFIED OF THE DIABETES TO SIMULATE GLUCOSE AND INSULIN LEVELS MODELO MÍNIMO MODIFICADO DE LA DIABETES PARA SIMULAR NIVELES DE GLUCOSA E INSULINA
Visión Electrónica
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