ArticlePloS one2019
Optimal regulation of blood glucose level in Type I diabetes using insulin and glucagon.
Article in PloS one, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Controlling network ensembles.Nature communications · 2021Article
- Data-driven optimized control of the COVID-19 epidemics.Scientific reports · 2021Article
- Mathematical Model of Glucagon Kinetics for the Assessment of Insulin-Mediated Glucagon Inhibition During an Oral Glucose Tolerance Test.Frontiers in endocrinology · 2021Article
- The Role of Glucagon in Glycemic Variability in Type 1 Diabetes: A Narrative Review.Diabetes, metabolic syndrome and obesity : targets and therapy · 2021Review
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Authors and funding
5 authors.
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Abstract
The Glucose-Insulin-Glucagon nonlinear model accurately describes how the body responds to exogenously supplied insulin and glucagon in patients affected by Type I diabetes. Based on this model, we design infusion rates of either insulin (monotherapy) or insulin and glucagon (dual therapy) that can optimally maintain the blood glucose level within desired limits after consumption of a meal and prevent the onset of both hypoglycemia and hyperglycemia. This problem is formulated as a nonlinear optimal control problem, which we solve using the numerical optimal control package [Formula: see text]. Interestingly, in the case of monotherapy, we find the optimal solution is close to the standard method of insulin based glucose regulation, which is to assume a variable amount of insulin half an hour before each meal. We also find that the optimal dual therapy (that uses both insulin and glucagon) is better able to regulate glucose as compared to using insulin alone. We also propose an ad-hoc rule for both the dosage and the time of delivery of insulin and glucagon.
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