A Model of Glucose Evolution in Type 1 Diabetes Patients

We have analyzed a model proposed by Steil et al. [1] for glucose metabolism. The model consists of 5 differential equations describing the change of a patient’s blood glucose concentration to his/her basal and bolus insulin pump data. This relatively simple model of 8 parameters was analyzed using measured plasma insulin and blood glucose concentrations from a study by the Amsterdam Medical Centre of 10 patients of the span of approximately 43 hours. In this study almost continuous blood insulin measurements were taken, in addition to insulin pump data and blood glucose measurements. This is quite difficult to measure, so this gave us a unique opportunity to individually analyze sections of the model. We have obtained relatively good fits for the insulin plasma submodel on most patients. Our optimisation remained inconclusive on the remaining blood glucose submodel, and alternative formulations to solve this also gave insufficient results. In conclusion, the linear submodel for...Show moreWe have analyzed a model proposed by Steil et al. [1] for glucose metabolism. The model consists of 5 differential equations describing the change of a patient’s blood glucose concentration to his/her basal and bolus insulin pump data. This relatively simple model of 8 parameters was analyzed using measured plasma insulin and blood glucose concentrations from a study by the Amsterdam Medical Centre of 10 patients of the span of approximately 43 hours. In this study almost continuous blood insulin measurements were taken, in addition to insulin pump data and blood glucose measurements. This is quite difficult to measure, so this gave us a unique opportunity to individually analyze sections of the model. We have obtained relatively good fits for the insulin plasma submodel on most patients. Our optimisation remained inconclusive on the remaining blood glucose submodel, and alternative formulations to solve this also gave insufficient results. In conclusion, the linear submodel for insulin plasma concentrationsl described the data, while the remaining submodel for glucose and alternative formulations of it are still in need of further study.Show less

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A Model of Glucose Evolution in Type 1 Diabetes Patients