Steady-state relationship between average glucose, HbA1c and RBC lifespan. (14th June 2018)

• Record Type: Journal Article
• Authors: Kameyama, Masashi; Takeuchi, Sousuke; Ishii, Shinya
• Is Part Of: Journal of theoretical biology. Volume 447(2018)
• Page Start: 111
• Page End: 117
• Publication Date: 2018-06-14
• Subjects: Mathematics -- Average glucose -- HbA1c -- Diabetes mellitus -- Non-linear relationship; Biology -- Periodicals; Biological Science Disciplines -- Periodicals; Biology -- Periodicals; Biologie -- Périodiques; Theoretische biologie; Biology; Periodicals; 571.05
• DOI: 10.1016/j.jtbi.2018.03.023
• Languages: English
• ISSNs: 0022-5193

Abstract

Highlights: The relationship between average glucose and HbA1c is not linear. A linear relationship is an approximation of a curved relationship. A hyperbolic function provides a more accurate approximation than a linear equation. 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: H b A 1 c = M R B C k g A G / ( 1 + ( 2 / 3 ) M R B C k g A G ), 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.