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A computational proof of concept of a machine-intelligent artificial pancreas using lyapunov stability and differential game theory

Abstract

BACKGROUND: This study demonstrated the novel application of a ""machine-intelligent"" mathematical structure, combining differential game theory and Lyapunov-based control theory, to the artificial pancreas to handle dynamic uncertainties. METHODS: Realistic type 1 diabetes (T1D) models from the literature were combined into a composite system. Using a mixture of ""black box"" simulations and actual data from diabetic medical histories, realistic sets of diabetic time series were constructed for blood glucose (BG), interstitial fluid glucose, infused insulin, meal estimates, and sometimes plasma insulin assays. The problem of underdetermined parameters was side stepped by applying a variant of a genetic algorithm to partial information, whereby multiple candidate-personalized models were constructed and then rigorously tested using further data. These formed a ""dynamic envelope"" of trajectories in state space, where each trajectory was generated by a hypothesis on the hidden T1D system dynamics. This dynamic envelope was then culled to a reduced form to cover observed dynamic behavior. A machine-intelligent autonomous algorithm then implemented game theory to construct real-time insulin infusion strategies, based on the flow of these trajectories through state space and their interactions with hypoglycemic or near-hyperglycemic states. RESULTS: This technique was tested on 2 simulated participants over a total of fifty-five 24-hour days, with no hypoglycemic or hyperglycemic events, despite significant uncertainties from using actual diabetic meal histories with 10-minute warnings. In the main case studies, BG was steered within the desired target set for 99.8% of a 16-hour daily assessment period. Tests confirmed algorithm robustness for +/-25% carbohydrate error. For over 99% of the overall 55-day simulation period, either formal controller stability was achieved to the desired target or else the trajectory was within the desired target. CONCLUSIONS: These results suggest that this is a stable, high-confidence way to generate closed-loop insulin infusion strategies.

Type Journal
Authors Greenwood, N. J.; Gunton, J. E.
Garvan Authors Prof Jenny Gunton
Publisher Name Journal of diabetes science and technology
Published Date 2014-07-10 00:00:00
Published Volume 8
Published Issue 4
Published Pages 791-806
URL http://www.ncbi.nlm.nih.gov/pubmed/25562888
Status Published in-print