1. A method for determining an intravenous insulin infusion rate to correct hyperglycemia of a patient, the method comprising: (a) estimating an insulin infusion maintenance rate to maintain euglycemia in a patient; (b) determining a relationship between a current blood glucose concentration of the patient and a target blood glucose concentration; (c) determining an insulin infusion rate based on the estimated insulin infusion maintenance rate and based on the relationship between the current blood glucose concentration and the target blood glucose concentration; (d) measuring a glycemic response of the patient while using the determined insulin infusion rate; (e) re-estimating the insulin infusion maintenance rate based on the glycemic response of the patient at a previous insulin infusion rate; and (f) repeatedly performing steps (b)-(e), wherein the estimated insulin infusion maintenance rate in step (e) during each n th iteration is utilized to determine the insulin infusion rate in step (c) of each (n+1) th iteration, n being an integer.