A non-linear mixed-effects model to describe the effect of acarbose intake on postprandial glycaemia in a single rat

O. C. N. Pereira, P. V. C. Pereira, Mauricio Fumio Sybuia, E. Barili, R. Santana, I. Previdelli
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Abstract

A non-linear mixed-effects model is proposed to assess the impact of acarbose over time on postprandial glycaemia in a single rat. The model is based on two compartments, one representing the entry of glucose in the blood and the other its exit. The rat was submitted to two treatments: ingestion of starch and ingestion of starch plus acarbose. The model showed great suitability, with inferences on the behavior of glucose levels in response to treatments and supplying a richer description than just the area under the curve. The marginal curves for the two treatments are similar during the first moments; however, after reaching the peak of glucose concentration, they progressively became separate due to acarbose treatment and reached the initial levels more quickly. The proposed model, albeit with a single sample unit, showed similar results to those with larger samples; in other words, acarbose significantly attenuates glycaemia after ingestion of starch.
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用非线性混合效应模型描述阿卡波糖摄入对单只大鼠餐后血糖的影响
提出了一个非线性混合效应模型来评估阿卡波糖随时间对单个大鼠餐后血糖的影响。该模型基于两个区室,一个代表葡萄糖进入血液,另一个代表葡萄糖退出血液。将大鼠分为两组,分别饲喂淀粉和淀粉加阿卡波糖。该模型显示出了很高的适用性,可以推断葡萄糖水平对治疗的反应行为,并提供了比曲线下面积更丰富的描述。在初始时刻,两种处理的边缘曲线相似;然而,在葡萄糖浓度达到峰值后,由于阿卡波糖的处理,它们逐渐分离,并且更快地达到初始水平。所提出的模型,虽然只有一个样本单位,但与那些有更大样本的模型显示出相似的结果;换句话说,阿卡波糖能显著降低摄入淀粉后的血糖。
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