Oscillatory dynamics of an intravenous glucose tolerance test model with delay interval

DOI10.1063/1.5008384zbMath1390.92073OpenAlexW2767733600WikidataQ47383649 ScholiaQ47383649MaRDI QIDQ4563867

Yang Kuang, Sriprakash Mokshagundam, Xiangyun Shi, Jiaxu Li, Athena Makroglou

Publication date: 4 June 2018

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://researchportal.port.ac.uk/portal/en/publications/oscillatory-dynamics-of-an-intravenous-glucose-tolerance-test-model-with-delay-interval(f7f398f5-f25c-4e6f-861f-a38edc642e52).html

zbMATH Keywords

diabetes mellitusinsulin sensitivityintravenous glucose tolerance test

Mathematics Subject Classification ID

Medical applications (general) (92C50)

Related Items (8)

Amplitude and frequency variation in nonlinear glucose dynamics with multiple delays via periodic perturbation ⋮ Nilpotent singularities and periodic perturbation of a \(GI \beta\) model: a pathway to glucose disorder ⋮ A novel IVGTT model including interstitial insulin ⋮ Dynamics on Hepatitis B Virus Infection In Vivo with Interval Delay ⋮ Modeling impulsive intake of glucose: the significance of diet to glucose-insulin system ⋮ Geometric stability switch criteria in delay differential equations with two delays and delay dependent parameters ⋮ The effect of delay interval on the feedback control for a turbidostat model ⋮ Analysis of a stochastic IVGTT glucose-insulin model with time delay

Cites Work

• The range of time delay and the global stability of the equilibrium for an IVGTT model
• Continuous structured population models for \textit{Daphnia magna}
• 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
• Mathematical models and software tools for the glucose\,-\,insulin regulatory system and diabetes: an overview
• Global stability in a model of the glucose-insulin interaction with time delay
• Analysis of a Model of the Glucose‐Insulin Regulatory System with Two Delays
• Analysis of IVGTT glucose-insulin interaction models with time delay

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