Katz, 1973: Murray A. Katz published the classic sodium-glucose relationship in the New England Journal of Medicine. The paper described the estimate that serum sodium falls by about 1.6 mmol/L for each 100 mg/dL rise in glucose. That 1.6 factor became the conventional correction used for decades.
Hillier, Abbott and Barrett, 1999: the later American Journal of Medicine study tested the relationship experimentally in six healthy subjects. Glucose was raised above 600 mg/dL and sodium and glucose were measured repeatedly as glucose changed. The mean overall sodium change was 2.4 mmol/L per 100 mg/dL. In the piecewise analysis, 1.6 worked reasonably up to about 400 mg/dL while a factor around 4.0 fit the higher-glucose portion better; that 4.0 observation is study context, not a validated universal high-glucose rule.
That is why MedMaths presents 1.6 as the classic Katz estimate and 2.4 as Hillier's overall experimental estimate. Neither value should be treated as an exact biological constant for every patient. The 2024 international adult hyperglycaemic-crisis consensus also describes an approximately 1.6 mmol/L rise in sodium for each 100 mg/dL fall in glucose during HHS treatment, while emphasising serial laboratory and clinical reassessment.
Formula source: Murray A. Katz → · Teresa A. Hillier →