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The effects of vitamin D on glucose-insulin dynamics: mathematical model and simulation


Journal of Diabetes, Metabolic Disorders & Control
Saloni Rathee,1 Nilam,2 Murray E Alexander3

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Abstract

Background: Maintenance of glucose level for diabetic people is very important and challenging. Many factors seem to affect the level of glucose in our body, out of which vitamin D is found to be one of the most important factors. It inspires us to develop a model that is capable of predicting the effect of vitamin D on glucose-insulin dynamics of human body. Objective: The main objective of the study is to develop a model to capture the effect of vitamin D on the glucose-insulin dynamics of non-diabetic, T2DM and T1DM people. Method: A minimal model previously developed by Bergman is extended to include the effects of vitamin D via parameters. Stability analysis and numerical simulation has been performed on the vitamin D model to analyze the behavior of the model. Comparisons are made to observe the blood glucose and insulin level in non-diabetic, T2DM and T1DM people. Result: The model assess the changes in glucose-insulin dynamics after the induction of different values of vitamin D parameters in their respective range. Conclusion and future work: The vitamin D model captured the glucose-insulin dynamics effectively and should be recommended in our daily routine, especially for the diabetic people. Further, the dosage of vitamin D may be calculated clinically because of the variation in the population and severity of the disease.

Keywords

diabetes, glucose-insulin dynamics, T1DM, T2DM, vitamin D, insulin sensitivity, insulin resistance

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