Modeling the dynamics of glucose, insulin, and free fatty acids with time delay: the impact of bariatric surgery on type 2 diabetes mellitus

DOI10.3934/MBE.2019288zbMath1497.92045OpenAlexW2949891677WikidataQ93200749 ScholiaQ93200749MaRDI QIDQ2160881

Jiaxu Li, Carlos Castillo-Chavez, Anarina L. Murillo

Publication date: 3 August 2022

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2019288

zbMATH Keywords

mathematical modeltype 2 diabetesfree fatty acids

Mathematics Subject Classification ID

Medical applications (general) (92C50) Physiology (general) (92C30) Pathology, pathophysiology (92C32)

Related Items (2)

A multi-age mathematical modeling of the dynamics of population diabetics with effect of lifestyle using optimal control ⋮ Dynamical modeling the effect of glucagon-like peptide on glucose-insulin regulatory system based on mice experimental observation

Cites Work

• The range of time delay and the global stability of the equilibrium for an IVGTT model
• Absolute stability in delay equations
• Modeling the intra-venous glucose tolerance test: A global study for a single-distributed-delay model
• Mathematical modelling of the intravenous glucose tolerance test
• Modeling the glucose-insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays
• Qualitative behavior of a family of delay-differential models of the glucose-insulin system
• Analysis of a Model of the Glucose‐Insulin Regulatory System with Two Delays
• An Introduction to Delay Differential Equations with Applications to the Life Sciences
• Analysis of IVGTT glucose-insulin interaction models with time delay

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