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平均血糖、HbA1c 与 RBC 寿命之间的稳态关系。

Steady-state relationship between average glucose, HbA1c and RBC lifespan.

机构信息

Department of Diagnostic Radiology, Tokyo Metropolitan Geriatric Hospital and Institute of Gerontology, Tokyo, Japan.

Department of Neurology, National Center for Global Health and Medicine, Tokyo, Japan.

出版信息

J Theor Biol. 2018 Jun 14;447:111-117. doi: 10.1016/j.jtbi.2018.03.023. Epub 2018 Mar 17.

Abstract

HbA1c is used to estimate average glucose. Previous studies showed linear relationship between average glucose and HbA1c. We made a new theoretical relationship using recently proposed Γ-like function model of erythrocyte lifespan. We showed the relationship between average glucose and HbA1c; we approximated it into a simple hyperbolic function: HbA1c=MkAG/(1+(2/3)MkAG), whose inverse function is easily obtained. Apparent linear relationship is an approximation of the curved relationship. Hyperbolic function would provide a more accurate approximation than a linear equation. Physicians should keep in mind the curved relationship and be aware that extremely high HbA1c indicates acceleratingly high glucose level.

摘要

HbA1c 用于估计平均血糖。先前的研究表明平均血糖与 HbA1c 之间存在线性关系。我们使用最近提出的红细胞寿命 Γ 样函数模型建立了一个新的理论关系。我们展示了平均血糖与 HbA1c 之间的关系;我们将其近似为一个简单的双曲函数:HbA1c=MkAG/(1+(2/3)MkAG),其反函数很容易得到。明显的线性关系是对曲线关系的近似。双曲函数比线性方程能提供更准确的近似。医生应牢记这种曲线关系,并意识到极高的 HbA1c 表示血糖水平在加速升高。

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