On the Weighted-Average Relationship Between Plasma Glucose and HbA1c

Tahara and colleagues (1–3) have reported results of experimental investigations concluding a relationship between plasma glucose level and HbA1c (A1C), defined as [fleqn,10pt,legalpaper]{article} {amssymb} {amsfonts} {amsmath} {empty} {document} \[H(t){=}K {{∫}₀ᵗ}W(t{-}{ζ})G({ζ})d{ζ}\] {document} Their expression for W(s ) is [fleqn,10pt,legalpaper]{article} {amssymb} {amsfonts} {amsmath} {empty} {document} \[W(s){=}{\{} {array}{l}2(T {-} s)/T²,0{≤}s{≤}T\\{ }{ }{ }0, s{>}T{array}\] {document} The experimental mean fasting plasma glucose (MFPG) results reported in ref. 1 were analytically modeled and then used to determine the corresponding mean A1C curve (Eq. 1). Excellent correlation was obtained between experimental mean A1C and analytical A1C curves. The specific curve for MFPG is [fleqn,10pt,legalpaper]{article} {amssymb} {amsfonts} {amsmath} {empty} {document} \[G(t){=}Gₛ{+}Gd exp({-}{γ}t)\] {document} where γ is constant …