Modeling the physiological glucose-insulin dynamic system on diabetics

DOI10.1016/J.JTBI.2010.05.002zbMath1460.92049OpenAlexW2030859041WikidataQ39873498 ScholiaQ39873498MaRDI QIDQ1720074

Hong-Wen Tsai, Cheng-Liang Chen, Sio-Si Wong

Publication date: 12 February 2019

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2010.05.002

zbMATH Keywords

physiologyparametric estimationglucose-insulin systemdelay differential equations (DDEs)human endocrinology

Mathematics Subject Classification ID

Pathology, pathophysiology (92C32)

Related Items (4)

Mathematical modeling of the glucose-insulin system: a review ⋮ Amplitude and frequency variation in nonlinear glucose dynamics with multiple delays via periodic perturbation ⋮ Personalized mechanistic models for exercise, meal and insulin interventions in children and adolescents with type 1 diabetes ⋮ A new approach to stabilize diabetes systems with time-varying delays and disturbance rejection

Cites Work

• Asymptotic properties of a delay differential equation model for the interaction of glucose with plasma and interstitial insulin.
• An integrated mathematical model of the dynamics of blood glucose and its hormonal control
• Mathematical modelling of the intravenous glucose tolerance test
• Modeling the glucose-insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays
• Enhanced modelling of the glucose–insulin system and its applications in insulin therapies

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