Goel Pranay
Mathematics and Biology, IISER Pune, Pune, India.
J Theor Biol. 2015 Nov 7;384:131-9. doi: 10.1016/j.jtbi.2015.07.033. Epub 2015 Aug 20.
Mathematical models of glucose, insulin and pancreatic beta-cell mass dynamics are essential to our understanding of the physiological basis of the development of type 2 diabetes. The classical view of diabetes is that the disease develops due to insulin insufficiency. An alternate viewpoint that has recently staged a revival is that diabetogenesis is a hypersecretion disorder. A prominent model of diabetes progression is the βIG model due to Topp and coworkers. Here we study two new variants of the Topp model, which we name "Topp-IR" and "Topp-HS". Topp-IR is a model in which increasing insulin resistance is sufficient to drive a system away from health towards hyperglycemia. Topp-HS describes the hypersecretion model in mathematical terms. We thus show that the hypersecretion hypothesis is theoretically sound, and is therefore a potential route to diabetes. On the basis of insights derived from modeling, we clarify several subtleties of that argument, including postulating a central role for transient insulin peaks in driving insulin resistance.
葡萄糖、胰岛素和胰腺β细胞质量动态变化的数学模型对于我们理解2型糖尿病发病的生理基础至关重要。传统的糖尿病观点认为,该疾病是由于胰岛素分泌不足而发展的。最近重新兴起的另一种观点是,糖尿病的发生是一种高分泌紊乱。一个著名的糖尿病进展模型是由托普及其同事提出的βIG模型。在这里,我们研究了托普模型的两个新变体,我们将其命名为“托普-胰岛素抵抗(Topp-IR)”和“托普-高分泌(Topp-HS)”。托普-胰岛素抵抗模型中,胰岛素抵抗增加足以使系统从健康状态转向高血糖状态。托普-高分泌模型用数学术语描述了高分泌模型。因此,我们表明高分泌假说在理论上是合理的,因此是导致糖尿病的一条潜在途径。基于从建模中获得的见解,我们阐明了该论点的几个微妙之处,包括假定瞬时胰岛素峰值在驱动胰岛素抵抗中起核心作用。