Bondia Jorge, Dassau Eyal, Zisser Howard, Calm Remei, Vehí Josep, Jovanovič Lois, Doyle Francis J
Instituto Universitario de Automática e Informática Industrial, Universidad Politécnica de Valencia, Camino de Vera s/n, Valencia, Spain.
J Diabetes Sci Technol. 2009 Jan;3(1):89-97. doi: 10.1177/193229680900300110.
Basal and bolus insulin determination in intensive insulin therapy for type 1 diabetes mellitus (T1DM) are currently considered independently of each other. A new strategy that coordinates basal and bolus insulin infusion to cope with postprandial glycemia in pump therapy is proposed. Superior performance of this new strategy is demonstrated through a formal analysis of attainable performances in an in silico study.
The set inversion via interval analysis algorithm has been applied to obtain the feasible set of basal and bolus doses that, for a given meal, mathematically guarantee a postprandial response fulfilling the International Diabetes Federation (IDF) guidelines (i.e., no hypoglycemia and 2 h postprandial glucose below 140 mg/dl). Hypoglycemia has been defined as a glucose value below 70 mg/dl. A 5 h time horizon has been considered for a 70 kg in silico T1DM subject consuming meals in the range of 30 to 80 g of carbohydrates.
The computed feasible sets demonstrate that current separated basal/bolus strategy dramatically limits the attainable performance. For a nominal basal of 0.8 IU/h leading to a basal glucose of approximately 100 mg/dl, IDF guidelines cannot be fulfilled for meals greater than 50 g of carbohydrates, independent of the bolus insulin computed. However, coordinating the basal and bolus insulin delivery can achieve this. A decrement of basal insulin during the postprandial period is required together with an increase in bolus insulin, in appropriate percentages, which is meal dependent. After 3 h, basal insulin can be restored to its nominal value.
The new strategy meets IDF guidelines in a typical day, contrary to the standard basal/bolus strategy, yielding a mean 2 h postprandial glucose reduction of 36.4 mg/dl without late hypoglycemia. The application of interval analysis for the computation of feasible sets is demonstrated to be a powerful tool for the analysis of attainable performance in glucose control.
目前,1型糖尿病(T1DM)强化胰岛素治疗中基础胰岛素和大剂量胰岛素的确定是相互独立考虑的。本文提出了一种新策略,即在胰岛素泵治疗中协调基础胰岛素和大剂量胰岛素输注以应对餐后血糖。通过在计算机模拟研究中对可实现性能的形式分析,证明了这种新策略的优越性能。
应用区间分析算法的集合反演来获得基础剂量和大剂量剂量的可行集,对于给定的一餐,该可行集在数学上保证餐后反应符合国际糖尿病联盟(IDF)指南(即无低血糖且餐后2小时血糖低于140mg/dl)。低血糖定义为血糖值低于70mg/dl。对于一名体重70kg、摄入30至80g碳水化合物餐食的计算机模拟T1DM受试者,考虑了5小时的时间范围。
计算出的可行集表明,当前分开的基础/大剂量策略极大地限制了可实现的性能。对于导致基础血糖约为100mg/dl的0.8IU/h标称基础胰岛素,无论计算出的大剂量胰岛素如何,对于大于50g碳水化合物的餐食,IDF指南都无法满足。然而,协调基础胰岛素和大剂量胰岛素的输送可以实现这一点。餐后期间需要基础胰岛素减量,同时大剂量胰岛素按适当百分比增加,这取决于餐食。3小时后,基础胰岛素可恢复到其标称值。
与标准的基础/大剂量策略相反,新策略在典型的一天中符合IDF指南,餐后2小时平均血糖降低36.4mg/dl,且无晚期低血糖。区间分析在可行集计算中的应用被证明是分析血糖控制中可实现性能的有力工具。