Mathematical modeling of the glucose–insulin system: A review
Mathematical modeling of the glucose–insulin feedback system is necessary to the
understanding of the homeostatic control, to analyze experimental data, to identify and …
understanding of the homeostatic control, to analyze experimental data, to identify and …
Modeling impulsive injections of insulin: towards artificial pancreas
We propose two novel mathematical models with impulsive injection of insulin or its
analogues for type 1 and type 2 diabetes mellitus. One model incorporates the periodic …
analogues for type 1 and type 2 diabetes mellitus. One model incorporates the periodic …
[HTML][HTML] Mathematical modelling of glucose dynamics
B Huard, G Kirkham - Current Opinion in Endocrine and Metabolic …, 2022 - Elsevier
The accurate regulation of glucose within humans is an essential feature of homeostasis. It
optimises energy release in the muscles and organs. Glucose rhythms driven by internal …
optimises energy release in the muscles and organs. Glucose rhythms driven by internal …
A simple modeling framework for prediction in the human glucose–insulin system
Forecasting blood glucose (BG) levels with routinely collected data is useful for glycemic
management. BG dynamics are nonlinear, complex, and nonstationary, which can be …
management. BG dynamics are nonlinear, complex, and nonstationary, which can be …
Modelling alcoholism as a contagious disease: a mathematical model with awareness programs and time delay
SH Ma, HF Huo, XY Meng - Discrete Dynamics in Nature and …, 2015 - Wiley Online Library
A dynamic alcohol consumption model with awareness programs and time delay is
formulated and analyzed. The aim of this model is to capture the effects of awareness …
formulated and analyzed. The aim of this model is to capture the effects of awareness …
Stability analysis and numerical simulations of IVGTT glucose-insulin interaction models with two time delays
This paper presents a systematic study of a mathematical model of glucose and insulin
interaction with two time delays, with a focus on analytical studies, bifurcation analysis, and …
interaction with two time delays, with a focus on analytical studies, bifurcation analysis, and …
[HTML][HTML] A mathematical model of food intake
M Chudtong, A De Gaetano - Mathematical Biosciences and …, 2021 - aimspress.com
The metabolic, hormonal and psychological determinants of the feeding behavior in humans
are numerous and complex. A plausible model of the initiation, continuation and cessation of …
are numerous and complex. A plausible model of the initiation, continuation and cessation of …
Modeling impulsive insulin delivery in insulin pump with time delays
We continue our attempt of modeling the open-loop control of glucose level by impulsive
insulin injections. Several time delays exist in the system. The delays include the time …
insulin injections. Several time delays exist in the system. The delays include the time …
[HTML][HTML] Oscillatory dynamics of an intravenous glucose tolerance test model with delay interval
X Shi, Y Kuang, A Makroglou… - … Journal of Nonlinear …, 2017 - pubs.aip.org
Type 2 diabetes mellitus (T2DM) has become prevalent pandemic disease in view of the
modern life style. Both diabetic population and health expenses grow rapidly according to …
modern life style. Both diabetic population and health expenses grow rapidly according to …
Is dynamic autocrine insulin signaling possible? A mathematical model predicts picomolar concentrations of extracellular monomeric insulin within human pancreatic …
Insulin signaling is essential for-cell survival and proliferation in vivo. Insulin also has potent
mitogenic and anti-apoptotic actions on cultured-cells, with maximum effect in the high …
mitogenic and anti-apoptotic actions on cultured-cells, with maximum effect in the high …