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一种基于 Michaelis-Menten 的新动力学模型,用于研究葡萄糖及其类似物在骨骼肌中的转运和磷酸化。

A new Michaelis-Menten-based kinetic model for transport and phosphorylation of glucose and its analogs in skeletal muscle.

机构信息

Department of Biomedical Engineering, Case Western Reserve University, Cleveland, Ohio 44106, USA.

出版信息

Med Phys. 2011 Aug;38(8):4587-99. doi: 10.1118/1.3599034.

Abstract

PURPOSE

A new model is introduced that individually resolves the delivery, transport, and phosphorylation steps of metabolism of glucose and its analogs in skeletal muscle by interpreting dynamic positron emission tomography (PET) data.

METHODS

The model uniquely utilizes information obtained from the competition between glucose and its radiolabeled analogs. Importantly, the model avoids use of a lumped constant which may depend on physiological state. Four basic physiologic quantities constitute our model parameters, including the fraction of total tissue space occupied by interstitial space (f(IS)), a flow-extraction product and interstitial (IS(g)) and intracellular (IC(g)) glucose concentrations. Using the values of these parameters, cellular influx (CI) and efflux (CE) of glucose, glucose phosphorylation rate (PR), and maximal transport (V(G)) and phosphorylation capacities (V(H)) can all be determined. Herein, the theoretical derivation of our model is addressed and characterizes its properties via simulation. Specifically, the model performance is evaluated by simulation of basal and euglycemic hyperinsulinemic (EH) conditions.

RESULTS

In fitting the model-generated, synthetic data (including noise), mean estimates of all but IC(g) of the parameter values are within 5% of their values for both conditions. In addition, mean errors of CI, PR, and V(G) are less than 5% whereas those of VH and CE are not.

CONCLUSIONS

It is concluded that under the conditions tested, the novel model can provide accurate parameter estimates and physiological quantities, except IC(g) and two quantities that are dependent on IC(g), namely CE and VH. However, the ability to estimate IC(g) seems to improve with increases in intracellular glucose concentrations as evidenced by comparing IC(g) estimates under basal vs EH conditions.

摘要

目的

引入一种新模型,通过解释动态正电子发射断层扫描(PET)数据,分别解析葡萄糖及其类似物在骨骼肌中的代谢的输送、转运和磷酸化步骤。

方法

该模型独特地利用了从葡萄糖及其放射性标记类似物之间的竞争中获得的信息。重要的是,该模型避免使用可能依赖于生理状态的总体常数。我们的模型参数由四个基本生理量组成,包括间质空间占总组织空间的分数(f(IS))、间质(IS(g))和细胞内(IC(g))葡萄糖浓度的流量提取产物。利用这些参数的值,可以确定葡萄糖的细胞内摄取(CI)和流出(CE)、葡萄糖磷酸化速率(PR)以及最大转运(V(G))和磷酸化能力(V(H))。本文解决了模型的理论推导问题,并通过模拟对其特性进行了描述。具体来说,通过模拟基础和正常血糖高胰岛素(EH)条件来评估模型的性能。

结果

在拟合模型生成的、包含噪声的合成数据时,除了两种依赖于 IC(g)的参数值外,所有参数值的平均估计值都在两种条件下的 5%以内。此外,CI、PR 和 V(G)的平均误差小于 5%,而 VH 和 CE 的平均误差大于 5%。

结论

在测试条件下,新模型可以提供准确的参数估计值和生理量,除了 IC(g)和两个依赖于 IC(g)的量,即 CE 和 VH。然而,估计 IC(g)的能力似乎随着细胞内葡萄糖浓度的增加而提高,这可以通过比较基础条件和 EH 条件下的 IC(g)估计值来证明。

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