The effect of physical exercise on the dynamics of glucose and insulin

Derouich, Mohamed; Boutayeb, Abdesslam

doi:10.1016/s0021-9290(02)00055-6

Cited by 127 publications

(80 citation statements)

References 21 publications

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“…Moreover, the effect of physical exercise on the dynamics of glucose and insulin has been investigated [43], thus it would be interesting to know how this might affect the dynamics if we included it in our proposed models. Consequently, we plan to address these topics with the aim of improving optimal strategies for the treatment of diabetes in the near future, studies that will be reported elsewhere.…”

Section: Resultsmentioning

confidence: 99%

Modelling the regulatory system for diabetes mellitus with a threshold window

Tang

Cheke

2015

Communications in Nonlinear Science and Numerical Simulation

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Please cite this article as: Yang, J., Tang, S., Cheke, R.A., Modelling the regulatory system for diabetes mellitus with a threshold window, Communications in Nonlinear Science and Numerical Simulation (2014), doi: http:// dx.doi.org/10.1016/j.cnsns. 2014.08.012 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.Modelling the regulatory system for diabetes mellitus with a threshold window AbstractPiecewise (or non-smooth) glucose-insulin models with threshold windows for type 1 and type 2 diabetes mellitus are proposed and analyzed with a view to improving understanding of the glucose-insulin regulatory system. For glucose-insulin models with a single threshold, the existence and stability of regular, virtual, pseudo-equilibria and tangent points are addressed. Then the relations between regular equilibria and a pseudo-equilibrium are studied. Furthermore, the sufficient and necessary conditions for the global stability of regular equilibria and the pseudo-equilibrium are provided by using qualitative analysis techniques of non-smooth Filippov dynamic systems. Sliding bifurcations related to boundary node bifurcations were investigated with theoretical and numerical techniques, and insulin clinical therapies are discussed. For glucose-insulin models with a threshold window, the effects of glucose thresholds or the widths of threshold windows on the durations of insulin therapy and glucose infusion were addressed. The duration of the effects of an insulin injection is sensitive to the variation of thresholds. Our results indicate that blood glucose level can be maintained within a normal range using piecewise glucose-insulin models with a single threshold or a threshold window. Moreover, our findings suggest that it is critical to individualize insulin therapy for each patient separately, based on initial blood glucose levels.

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Section: Resultsmentioning

confidence: 99%

Modelling the regulatory system for diabetes mellitus with a threshold window

Tang

Cheke

2015

Communications in Nonlinear Science and Numerical Simulation

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“…According to [8], exercise leads to increases in several variables of the glucoregulatory system:  Insulin sensitivity, which quantifies the effect of insulin on BGs.  Glucose effectiveness at zero insulin, which gives the insulin independent glucose uptake.…”

Section: Model Extensionmentioning

confidence: 99%

A Minimal Exercise Extension for Models of the Glucoregulatory System

Bock

François

Prud'homme

et al. 2011

Computer Aided Chemical Engineering

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For patients with type 1 diabetes mellitus, appropriate control of blood glucose concentrations is vital. Exercise is one of the disturbances that can affect these concentrations. Therefore, predictions in the presence of exercise are useful among others for model-based control methods, bolus calculators and educational tools. Although several models quantifying the effect of exercise are available, they generally include a high number of model parameters, which makes the identification a particularly challenging task, especially if only blood glucose measurements are available. In this paper, a new data-based minimal extension for existing models of the glucoregulatory system, which is able to account for the effect of exercise, is proposed. As observed from clinical data, for given exercise intensities and durations, the model does not depend on exercise intensity, making intensity measurements obsolete. Another main advantage is that this minimal extension involves the identification of only two additional scalar model parameters. The resulting model shows good agreement with the clinical data, and the obtained parameters are consistent between patients.

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“…Type 2 diabetes can be controlled with exercise, diet and lifestyle modifications. [6] This type of diabetes may develop microvascular complications, which may lead to retinopathy, nephropathy and peripheral and autonomic nephropathies, and macrovascular complications include atherosclerotic coronary and peripheral arterial disease.…”

Section: Type 2 Diabetesmentioning

confidence: 99%

“…The main objective here is to prescribe a more accurate, but less simple, method of arranging the palatable composition of a diabetic diet. The modified coupled differential equations for the plasma glucose and insulin concentration [1][2][3][4][5][6][7][8][9][10][11][12][13][14][16][17][18][19][20][21][22], when the normal fasting level of plasma glucose is 70 -120 mg/dl, are given as follows…”

Section: Mathematical Modelmentioning

confidence: 99%