北京生物醫(yī)學(xué)工程

最小模型參數(shù)的估計(jì)對胰島素敏感性指數(shù)的影響

The Effect of the Estimated Parameters of Bergman’s Minimal Model on Insulin Sensitivity Index

作者：李萌李林閆巖

單位：首都醫(yī)科大學(xué)生物醫(yī)學(xué)工程學(xué)院（北京100069）

關(guān)鍵詞： Bergman最小模型；胰島素敏感性指數(shù)；葡萄糖利用效能；統(tǒng)計(jì)分析

分類號：

出版年·卷·期（頁碼）：2010·29·1（23-29）

摘要：

Bergman 最小模型是研究葡萄糖和胰島素代謝最具代表性的模型。通過隨機(jī)變動Bergman 模型中部分參數(shù)值，數(shù)值計(jì)算得到各時間點(diǎn)胰島素和葡萄糖的濃度值。利用這些數(shù)據(jù)擬合模型參數(shù)并估計(jì)出SG值和ISI值，使用統(tǒng)計(jì)學(xué)方法分析Bergman最小模型法估計(jì)值的SG值和ISI值隨模型參數(shù)變化的情況。分析結(jié)果表明，P1在臨床指標(biāo)內(nèi)取值，最小模型計(jì)算得到的估計(jì)值數(shù)據(jù)分布為正態(tài)；胰島素動力學(xué)方程的參數(shù)與SG和ISI的估計(jì)值存在著強(qiáng)線性相關(guān)關(guān)系；而P1和P3的取值對SG和ISI的估計(jì)值有著直接的影響；SG和ISI的估計(jì)值存在著低估現(xiàn)象，但誤差的范圍小于2.5% 。

Bergman’s minimal model is the most representative model to examine the glucose and insulin metabolism. In this paper, the model is used to calculate the concentration values of insulin and glucose at several time points through changing some parameters randomly. Then the values are used to simulate the model parameters and to estimate the values of SG and ISI. After that the values of the SG and the ISI estimated by Bergman’s minimal model are analyzed statistically with changes of model parameters. The results show that, when the value of P1 is selected in the clinical indicators, the estimated values distribute in normality. There is a strong linear correlation between the parameters in insulin kinetic equation and the estimated values of SG and ISI. The values of P1 and P3 impact the estimation of SG and ISI directly. The estimated values of SG and ISI are underestimated, but the scope of error is less than 2.5%.

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