Daily periodic target-zone modulation in the model predictive control problem for artificial pancreas for type I diabetes applications
A controller for an artificial pancreas for automated insulin delivery to patients with type 1 diabetes mellitus (T1DM) that enforces safe insulin delivery throughout both day and night, wherein the controller employs zone model predictive control, whereby real-time optimization, based on a model of a human's insulin response, is utilized to regulate blood glucose levels to a safe zone, and time-dependent zones that smoothly modulate the controller correction based on the time of day, wherein the controller strategically strives to maintain an 80-140 mg/dL glucose zone during the day, a 110-220 mg/dL zone at night, and a smooth transition of 2 hour duration in between.
1. A controller for an artificial pancreas (AP) that automatically directs the delivery of insulin with real-time optimization to maintain blood glucose concentrations of a patient with type 1 diabetes mellitus (T1DM) the controller comprising and operated according to a periodic zone model predictive control (PZMPC) algorithm that continuously modulates control objective periodically based on a model of a human's insulin response to regulate blood glucose levels to time-dependent output target zones and to smoothly transition target zone boundaries, wherein the control objective is formulated based on blood-glucose levels controlled with respect to inclusion within a safety-set, rather than to track a singular set-point, wherein the smooth transition is achieved by smoothly shifting the target zone boundaries according to a cosine function, wherein the controller is operably connected to an insulin pump, and the controller directs delivery of insulin by the pump according to the algorithm.
2. A method comprising directing insulin delivery using the controller of claim 1 to automatically direct the delivery of insulin with real-time optimization to maintain blood glucose concentrations of a patient with type 1 diabetes mellitus (T1DM), wherein the control objective is modulated periodically based on the model to regulate the blood glucose levels to the time-dependent output target zones and to smoothly transition the target zone boundaries.
3. The method of claim 2 wherein the target zones comprise a euglycemic zone during the day and an elevated glycemic zone at night.
4. The method of claim 3 further comprising the step of delivering the insulin to the person.
5. The method of claim 2 wherein input constraints enforced by the controller are lower during the night than during the day, wherein elevated blood glucose levels are permitted during the night, and the maximum amount of insulin deliverable by the artificial pancreas device while the patient is asleep is reduced, and risk of controller induced hypoglycemia during periods of sleep is thus reduced.
6. The method of claim 5 further comprising the step of delivering the insulin to the person.
7. The method of claim 2 further comprising the step of delivering the insulin to the person.
8. The controller of claim 1 wherein the target zones comprise a euglycemic zone during the day and an elevated glycemic zone at night.
9. The controller of claim 1 wherein input constraints enforced by the controller are lower during the night than during the day, wherein elevated blood glucose levels are permitted during the night, and the maximum amount of insulin deliverable by the artificial pancreas device while the patient is asleep is reduced, and risk of controller induced hypoglycemia during periods of sleep is thus reduced.