CNR-IASI, Laboratorio di Biomatematica, Consiglio Nazionale delle Ricerche, Istituto di Analisi dei Sistemi ed Informatica, Rome, Italy.
Università Cattolica del Sacro Cuore Rome, Rome, Italy.
PLoS One. 2021 Sep 27;16(9):e0257789. doi: 10.1371/journal.pone.0257789. eCollection 2021.
The most well-known and widely used mathematical representations of the physiology of a diabetic individual are the Sorensen and Hovorka models as well as the UVAPadova Simulator. While the Hovorka model and the UVAPadova Simulator only describe the glucose metabolism of a subject with type 1 diabetes, the Sorensen model was formulated to simulate the behaviour of both normal and diabetic individuals. The UVAPadova model is the most known model, accepted by the FDA, with a high level of complexity. The Hovorka model is the simplest of the three models, well documented and used primarily for the development of control algorithms. The Sorensen model is the most complete, even though some modifications were required both to the model equations (adding useful compartments for modelling subcutaneous insulin delivery) and to the parameter values. In the present work several simulated experiments, such as IVGTTs and OGTTs, were used as tools to compare the three formulations in order to establish to what extent increasing complexity translates into richer and more correct physiological behaviour. All the equations and parameters used for carrying out the simulations are provided.
最著名和广泛使用的糖尿病个体生理学数学表示方法是 Sorensen 和 Hovorka 模型以及 UVAPadova Simulator。虽然 Hovorka 模型和 UVAPadova Simulator 仅描述了 1 型糖尿病患者的葡萄糖代谢，但 Sorensen 模型是为模拟正常和糖尿病患者的行为而制定的。UVAPadova 模型是最著名的模型，被 FDA 认可，具有很高的复杂性。Hovorka 模型是这三个模型中最简单的，有很好的文档记录，并主要用于开发控制算法。Sorensen 模型是最完整的，尽管模型方程（为皮下胰岛素输送建模添加有用的隔室）和参数值都需要进行一些修改。在本工作中，使用了一些模拟实验，如 IVGTT 和 OGTT，作为比较三种配方的工具，以确定增加复杂性在多大程度上转化为更丰富和更正确的生理行为。提供了进行模拟所使用的所有方程和参数。
