“…where B is the bolus, CHO are the carbohydrates planned to be consumed in that meal, ICR is the insulin-to-carb ratio (n.b., ICR > 0), G is the pre-meal blood glucose, G T is the pre-meal blood glucose target, IS F is the insulin sensitivity factor (n.b., IS F > 0), K is a constant reflecting the physiologic status of the patient, and IOB (Insulin-on-Board) is the insulin remaining active from the previously administrated bolus [6,7]. In the following analysis, we will consider 250009-1 K = 1 (i.e., the influence of illness, physical activity or medication on insulin and glucose metabolism of patients is not addressed in this study) and IOB = 0 (i.e., the time between meals is higher than the duration of insulin action, and there is no insulin stacking).…”