Optimality of Unconstrained Pulse Inputs to the Bergman Minimal Model

Christopher Townsend; Maria M. Seron

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arXiv · 1706.06990

Optimality of Unconstrained Pulse Inputs to the Bergman Minimal Model

Christopher Townsend·Maria M. Seron

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Abstract

We characterise optimality of bolus insulin inputs, to the Bergman minimal model, by the predicted behaviour of the plasma glucose concentration for a given disturbance. The result is derived subject to the constraints that the plasma glucose concentration must attain but not go below a specified minimum value and the bolus input is rectangular. We give numerical examples of the results for the Hovorka model.

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BibTeX RIS

Christopher Townsend, Maria M. Seron. 2017-06-21. Optimality of Unconstrained Pulse Inputs to the Bergman Minimal Model. https://arxiv.org/abs/1706.06990

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