Comparison of Models of Glucose Uptake

Jaroslaw Smieja


Gastric emptying, simulation model, diabetes


One of the key steps in designing a controller for an insulin pump is its numerical simulation and testing for various meal input. Such testing is based on an assumed model of glucose-insulin system and parameters, preferably identified basing on clinical data. One of the subsystem needed in such simulations is the one providing the appropriate blood glucose rate of appearance. Though such models exist, and are widely cited, their outputs vary enormously and the difference has not been discussed so far. In this work, the author presents analysis of existing models and suggests a modification of the Lehmann and Deutsch model, important for uptakes of small glucose amounts. Additionally, a formula for multiple meals is derived.

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