To study the dynamic property of glucagon secretion in response to glucose concentration and the ability of glucagon to raise hepatic glucose production, an artificial endocrine pancreas was developed by preparing glucagon and glucose infusion algorithms as the counterregulatory system. The priniciple of glucose or glucagon infusion algorithm is set to be as the proportional plus derivative modes of action to blood glucose concentration with the time delay constant, as follows;
GIR (t) =Cp [BGp-BG (t-τ)] +Cd [-ΔBG (t-τ)]
GnIR (t) =Gp [BGp-BG (t-τ)] +Gd [-ΔBG (t-τ)] +Gc
where GIT (t) and GnIR (t) are glucose infusion rate (mg·kg
-1·min
-1) and glucagon infusion rate (ng·kg
-1·min
-1), respectively. BGp is the projected value of blood glucose concentration (mg/100m
l), BG (t) and ΔBG (t) are blood glucose concentration at time t (mg·100m
l-1·min
-1), and the rate of change in blood glucose concentration at time t (mg·100m
l-1·min
-1) respectively. Cp and Cd are coefficients for glucose infusion, and Gp and Gd are those for glucagon infusion. Gc is the constant for basal glucagon supplementation.τ(min) is the time delay constant for glucose and glucagon infusion.
In depancreatized dogs, hypoglycemia was induced by iv bolus insulin injection, then the counterregulatory system was operated according to each of these algorithms by changing the parameters variously.
The following results were obtaind:
1) In the glucagon infusion algorithm, with the optimal parameters based on proportional plus derivative modes of action with a 10-min time delay (Gp/Gd/Gc/τ=0.2/0.4/0.4/10), both the blood glucose response curves and plasma glucagon profiles simulated perfectly those seen in normal dogs. On the other hand, glucagon infusion based on the proportional action only failed to mimic the blood glucose response and plasma glucagon profile of nromal dogs.
2) When glucose was infused on basis of the proportional action with a 20-min time delay (Cp/Cd/τ=0.2/0/20), the insulin-induced hypoglycemia in depancreatized dogs could be restored to nor moglycemia in the same manner as seen in normal dogs.
3) Since the amount of glucagon and the amount of glucose infused for 2 hours to obtain identical blood glucose response curves was 250 ng/kg and 237 mg/kg, respectively, it was revealed that 1 ng·kg
-1·min
-1 of glucagon infused might evoke 1 mg·kg
-1min
-1 of hepatic glucose production.
These results indicate that the dynamic property of glucagon secretion is proportional plus derivative mode of action to blood glucose concentration, and the mode of action of glucagon on hepatic glucose production is the proportional action with first-order delay.
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