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