Patent ID: 8762070

Claim:
A zone model predictive control (MPC) method of continuous monitoring and delivery of an insulin or insulin analog to a subject comprising: utilizing a linear difference model in combination with a model predictive control (MPC) algorithm to control delivery of the insulin or insulin analog within a zone of desired values, wherein the linear difference model and MPC algorithm are implemented, using sufficiently programmed computer, according to steps: obtaining insulin and meal data values and continuous glucose monitoring (CGM) data values for the subject; mapping the data using transfer functions: I map ⁡ ( s ) = 1 ( τ 1 ⁢ s + 1 ) ⁢ ( τ 2 ⁢ s + 1 ) ⁢ I ⁡ ( s ) M map ⁡ ( s ) = 1 ( τ 3 ⁢ s + 1 ) ⁢ ( τ 4 ⁢ s + 1 ) ⁢ M ⁡ ( s ) generating a linear difference model comprising a plurality of states: G k+1 =α 1 G k + . . . +α p G k−p +β 11 I map,k−d 1 −1 + . . . +β 1q 1 I map,k−d 1 −q 1 + . . . +β 21 M map,k−d 2 −1 + . . . +β 2q 2 M map,k−d 2 −q 2 I map,k+1 =γ 1 I map,k +γ 2 I map,k−1 +γ 3 I k +γ 4 I k−1 M map,k+1 =δ 1 M map,k +δ 2 M map,k−1 +δ 3 M k +δ 4 M k−1 , obtaining a defined glycemic zone for the subject; calculating a next administration dose and/or time of delivery of the insulin or insulin analog based on a predicted glycemic value for the subject using the linear difference model and the defined glycemic zone; and delivering the insulin or insulin analog to the subject based upon the calculated next insulin administration, wherein: I and M are insulin and meal data values expressed as amounts of insulin and carbohydrates, respectively, I map and M map are new states representing mapped insulin and meal values, respectively, τ 1-4 are time points of measurement, s is a variable in unit of inverse time, G is glucose blood concentration, k is a time instant, α 1 , β 11 , and β 21 are model coefficients, d 1 and d 2 are insulin and meal time delays, respectively, p, q 1 , and q 2 are orders of glucose, insulin, and meal, respectively, and γ i and δ i represent weighting factors for insulin and meal, respectively, after being absorbed into the blood.