A Novel Model and its Analysis on the Metabolic Regulations of Glucose, Insulin, and Glucagon

DOI10.1137/21M1390876zbMath1480.92041OpenAlexW4205953008MaRDI QIDQ5018882

Jiaxu Li, Reed B. Cohen

Publication date: 24 December 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/21m1390876

zbMATH Keywords

time delayHopf bifurcationfeedback loopdiabetesglucagonhepatic glucose production

Mathematics Subject Classification ID

Physiology (general) (92C30) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Pathology, pathophysiology (92C32)

Related Items (1)

Dynamical modeling the effect of glucagon-like peptide on glucose-insulin regulatory system based on mice experimental observation

Cites Work

• Geometric stability switch criteria in delay differential equations with two delays and delay dependent parameters
• Modeling the glucose-insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays
• Stability crossing set for systems with two scalar-delay channels
• Qualitative analysis of subcutaneous lispro and regular insulin injections for stress hyperglycemia: A pilot numerical study
• Determination of personalized diabetes treatment plans using a two-delay model
• Modeling Impulsive Injections of Insulin: Towards Artificial Pancreas
• Modeling Impulsive Insulin Delivery in Insulin Pump with Time Delays
• Analysis of a Model of the Glucose‐Insulin Regulatory System with Two Delays

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