Global stability of a delay model of glucose-insulin interaction

DOI10.1016/j.mcm.2010.03.044zbMath1201.34118OpenAlexW2042797645MaRDI QIDQ611791

Lin Li, Wen-Xin Zheng

Publication date: 14 December 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.03.044

zbMATH Keywords

global stabilitydifferential delay equationsminimum modelglucose-insulin interaction

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Biochemistry, molecular biology (92C40)

Related Items (4)

Persistence and global attractivity for a discretized version of a general model of glucose-insulin interaction ⋮ Delay-independent regulation of blood glucose for type-1 diabetes mellitus patients via an observer-based predictor feedback approach by considering quantization constraints ⋮ Delay in ATP-dependent calcium inflow may affect insulin secretion from pancreatic beta-cell ⋮ Determination of personalized diabetes treatment plans using a two-delay model

Uses Software

• MINMOD

Cites Work

• Delay differential equations: with applications in population dynamics
• Delay model of glucose-insulin systems: global stability and oscillated solutions conditional on delays
• Mathematical modelling of the intravenous glucose tolerance test
• Qualitative behavior of a family of delay-differential models of the glucose-insulin system
• Mathematical models and software tools for the glucose\,-\,insulin regulatory system and diabetes: an overview
• Analysis of IVGTT glucose-insulin interaction models with time delay

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