Delay-differential equations for glucose-insulin regulation

DOI10.1007/978-3-030-62497-2_17zbMath1485.92028OpenAlexW3133377334MaRDI QIDQ2058932

M. N. Angelova, Sergiy Shelyag

Publication date: 10 December 2021

Full work available at URL: https://doi.org/10.1007/978-3-030-62497-2_17

Mathematics Subject Classification ID

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

Cites Work

• Asymptotic properties of a delay differential equation model for the interaction of glucose with plasma and interstitial insulin.
• Modeling the glucose-insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays
• Global stability and periodicity in a glucose-insulin regulation model with a single delay
• Investigation of stability in a two-delay model of the ultradian oscillations in glucose-insulin regulation
• Mathematical investigation of diabetically impaired ultradian oscillations in the glucose-insulin regulation
• Periodic oscillations in a model of the glucose–insulin interaction with delay and periodic forcing
• Barycentric Lagrange Interpolation
• Global stability in a model of the glucose-insulin interaction with time delay
• On the Use of Delay Equations in Engineering Applications

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