A model for the homeostasis of glucose through the regulating hormones glucagon and insulin is described. It contains a subsystem that models the internalization of the glucagon receptor. Internalization is a mechanism in cell signaling, through which G-protein coupled receptors are taken from the surface of the cell to the endosome. The model is used to interpret data from a glucagon challenge test in which subjects have been under treatment with a novel glucagon receptor anti-sense drug which is aimed at reducing the number of receptors in the liver. It is shown how the receptor internalization results in tolerance of the blood glucose concentration to glucagon-induced hyperglycemia. We quantify the reduction of the number of receptors using the model and the data before and after treatment.

中文翻译：

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胰高血糖素挑战试验的数学模型。

描述了通过调节激素胰高血糖素和胰岛素的葡萄糖稳态的模型。它包含一个模拟胰高血糖素受体内在化的子系统。内在化是细胞信号传导中的一种机制，通过该机制，G蛋白偶联受体从细胞表面被带到内体。该模型用于解释来自胰高血糖素激发试验的数据，其中受试者已接受新型胰高血糖素受体反义药物的治疗，该药物旨在减少肝脏中的受体数量。显示了受体内在化如何导致血糖浓度对胰高血糖素诱导的高血糖症的耐受性。我们使用模型和治疗前后的数据量化受体数量的减少。