BioMatLab, IASI "A. Ruberti", National Council of Researches, UCSC Largo A. Gemelli 8, 00168 Rome, Italy.
Math Biosci. 2013 Aug;244(2):69-81. doi: 10.1016/j.mbs.2013.05.006. Epub 2013 Jun 1.
Mathematical modeling of the glucose-insulin feedback system is necessary to the understanding of the homeostatic control, to analyze experimental data, to identify and quantify relevant biophysical parameters, to design clinical trials and to evaluate diabetes prevention or disease modification therapies. Much work has been made over the last 30years, and the time now seems ripe to provide a comprehensive review. The one here proposed is focused on the most important clinical/experimental tests performed to understand the mechanism of glucose homeostasis. The review proceeds from models of pancreatic insulin production, with a coarser/finer level of detail ranging over cellular and subcellular scales, to short-term organ/tissue models accounting for the intra-venous and the oral glucose tolerance tests as well as for the euglycemic hyperinsulinemic clamp, to total-body, long-term diabetes models aiming to represent disease progression in terms of β-cell population dynamics over a long period of years.
葡萄糖-胰岛素反馈系统的数学建模对于理解体内平衡控制、分析实验数据、识别和量化相关生物物理参数、设计临床试验以及评估糖尿病预防或疾病改善疗法都是必要的。在过去的 30 年中，已经进行了大量的工作，现在似乎是时候提供一个全面的综述了。这里提出的综述主要关注于为了理解葡萄糖稳态的机制而进行的最重要的临床/实验测试。综述从胰腺胰岛素产生的模型开始，详细程度从细胞和亚细胞尺度逐渐变粗/变细，到短期器官/组织模型，涵盖静脉内和口服葡萄糖耐量试验以及正常血糖高胰岛素钳夹试验，再到全身、长期糖尿病模型，旨在根据多年来β细胞群体动力学来代表疾病的进展。
