A Corrected Hyperinsulinemic Risk Metric: The Glyco-Insulinemic Risk Ratio Prime (HRR )

Conventional dietary risk metrics such as the Glycemic Index (GI) and Insulinemic Index (II) fail to distinguish between pathological glucose-driven hyperinsulinemia and physiological amino-acid-induced insulin signaling. In particular, ratio-based constructions of insulin-to-glucose responses lead to mathematical singularities and empirical misclassification of metabolically protective foods. We introduce a corrected functional, the Hyperinsulinemic Risk Ratio Prime (HRR), which quantifies time-weighted glyco-insulinemic overlap rather than insulin magnitude alone. The proposed metric is mathematically well-posed, physiologically grounded, and resolves known paradoxes such as the high insulinemic index of fish.