We introduce a multilevel functional Beta model to quantify the blood glucose levels measured by continuous glucose monitors for multiple days in study participants with type 2 diabetes mellitus. The model estimates the subject-specific marginal quantiles, quantifies the within- and between-subject variability, and produces interpretable parameters of blood glucose dynamics as a function of time from the actigraphy-estimated sleep onset. Results are validated via simulations and by studying the association between the estimated model parameters and hemoglobin A1c, the gold standard for assessing glucose control in diabetes.

中文翻译：

---

对睡眠期间的连续血糖监测 (CGM) 数据进行建模。

我们引入了一个多级功能 Beta 模型，以量化 2 型糖尿病研究参与者连续多天的血糖监测仪测量的血糖水平。该模型估计受试者特定的边际分位数，量化受试者内部和受试者之间的变异性，并产生可解释的血糖动力学参数，作为从活动记录估计的睡眠开始的时间函数。结果通过模拟和研究估计的模型参数与血红蛋白 A1c 之间的关联得到验证，血红蛋白 A1c 是评估糖尿病血糖控制的金标准。