Background
In bi-hormonal closed-loop systems for treatment of diabetes,
glucagon sometimes fails to prevent hypoglycemia. We evaluated glucagon
responses during several closed-loop studies to determine factors, such as
gain factors, responsible for glucagon success and failure.
Methods
We extracted data from four closed-loop studies, examining blood
glucose excursions over the 50 minutes after each glucagon dose and defining
hypoglycemic failure as glucose values < 60 mg/dl. Secondly, we
evaluated hyperglycemic excursions within the same period, where glucose was
> 180 mg/dl. We evaluated several factors for association with rates
of hypoglycemic failure or hyperglycemic excursion. These factors included
age, weight, HbA1c, duration of diabetes, gender, automation of glucagon
delivery, glucagon dose, proportional and derivative errors (PE and DE),
insulin on board (IOB), night vs. day delivery, and point sensor
accuracy.
Results
We analyzed a total of 251 glucagon deliveries during 59 closed-loop
experiments performed on 48 subjects. Glucagon successfully maintained
glucose within target (60 – 180 mg/dl) in 195 (78%) of instances with
40 (16%) hypoglycemic failures and 16 (6%) hyperglycemic excursions. A
multivariate logistic regression model identified PE (p<0.001), DE
(p<0.001), and IOB (p<0.001) as significant determinants of
success in terms of avoiding hypoglycemia. Using a model of glucagon
absorption and action, simulations suggested that the success rate for
glucagon would be improved by giving an additional 0.8 mcg/kg.
Conclusion
We conclude that glucagon fails to prevent hypoglycemia when it is
given at a low glucose threshold and when glucose is falling steeply. We
also confirm that high IOB significantly increases the risk for glucagon
failures. Tuning of glucagon subsystem parameters may help reduce this
risk.