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一个数学模型揭示了大鼠青春期和成熟期葡萄糖和胰岛素耐受性的性别特异性变化。

A mathematical model reveals sex-specific changes in glucose and insulin tolerance during rat puberty and maturation.

作者信息

Balog Marta, Ivić Vedrana, Scitovski Rudolf, Labak Irena, Szűcs Kálmán Ferenc, Gaspar Robert, Vári Sándor G, Heffer Marija

机构信息

Marija Heffer, J. J. Strossmayer University of Osijek, Faculty of Medicine Osijek, Department of Medical Biology and Genetics, Josipa Huttlera 4, HR-31000 Osijek, Croatia,

出版信息

Croat Med J. 2020 Apr 30;61(2):107-118. doi: 10.3325/cmj.2020.61.107.

Abstract

AIM

To evaluate the effects of maturation and sex on glucose metabolism during glucose tolerance (GTT) and insulin tolerance tests (ITT) in young and adult male and female rats by using two different approaches - the conventional, which uses area under the curve and glucose curve, and mathematical modeling that identifies parameters necessary for determining the function that models glucose metabolism.

METHODS

Male and female rats at 3.5 and 12 months of age underwent standard GTT and ITT after overnight fasting. The parameters were identified by using Mathematica-module NonlinearModelFit [] for experimentally obtained data.

RESULTS

When data were statistically analyzed, both sexes and age groups had similar glucose and insulin tolerance. In the mathematical model of GTT, parameters describing the rate of glucose concentration increase G'(0) and decrease G'I multiplied with maturation, with a concomitant decrease in the time point (tmax, tI) of reaching maximum and minimum glucose concentration (Gmax, G0). The mathematical model of ITT for males was independent of age, unlike of that for females, which had increased G'(0) and G'I, and more quickly recovered from hypoglycemia after maturation.

CONCLUSION

The mathematical model revealed female susceptibility to large glucose excursions, which are better reflected by ITT in young animals and by GTT in adults.

摘要

目的

通过两种不同方法——传统方法(使用曲线下面积和血糖曲线)以及识别确定葡萄糖代谢模型所需参数的数学建模,评估成熟度和性别对年轻及成年雄性和雌性大鼠葡萄糖耐量试验(GTT)和胰岛素耐量试验(ITT)期间葡萄糖代谢的影响。

方法

3.5月龄和12月龄的雄性和雌性大鼠在过夜禁食后进行标准GTT和ITT。使用Mathematica模块NonlinearModelFit []对实验获得的数据确定参数。

结果

对数据进行统计分析时,两性和各年龄组的葡萄糖和胰岛素耐量相似。在GTT的数学模型中,描述葡萄糖浓度增加速率G'(0)和降低速率G'I的参数随成熟度增加,同时达到最大和最小葡萄糖浓度(Gmax,G0)的时间点(tmax,tI)减少。雄性ITT的数学模型与年龄无关,而雌性的则不同,其G'(0)和G'I增加,成熟后从低血糖中恢复得更快。

结论

数学模型揭示了雌性对大幅血糖波动的易感性,在幼龄动物中ITT能更好地反映这一点,而在成年动物中GTT能更好地反映。

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