In the 1999 Hillier et al published empiric data that showed the ratio to be 2.4 rather than 1.6.
This ratio is now has been adopted by Mass General Handbook of Internal Medicine.
When ever I encounter hypernatremia I use both formulas and I consistently found that the Hillier estimate overshot the final sodium. I wanted to do a study where I looked at hyperglycemia in dialysis patients and measured estimated final sodium versus actual final sodium to see which calculation worked better. It is a good study cohort because the lack of urine output guards against renal losses a potential source of error. Well, the study has been done. Tzamaloukas et al, published a nice study of hyperglycemic dialysis patients and found the ratio of change in glucose to change in sodium was to be 100:1.5, almost exactly the same as Katz's calculation and consistant with my experience.
Eat it Hillier.
Update, Dr. Rondon, in a comment below and Martijn vd Hoogen on Twitter, believe that I made a mistake calling hyperglycemic hyponatremia, an example of Pseudohyponatremia. There is some precedent for this position but it is not universal. See this editorial by the American Association for Clinical Chemistry, or McGraw Hill Concise Dictionary of Modern Medicine
Update, Dr. Rondon, in a comment below and Martijn vd Hoogen on Twitter, believe that I made a mistake calling hyperglycemic hyponatremia, an example of Pseudohyponatremia. There is some precedent for this position but it is not universal. See this editorial by the American Association for Clinical Chemistry, or McGraw Hill Concise Dictionary of Modern Medicine
We care about the serum sodium because of its effect on serum tonicity. When the serum sodium doesn't represent the serum tonicity, the sodium is lying, I call that pseudohyponatremia. Pseudohyponatremia comes in two varieties: normal osmolality and high osmolality. The high version is what I am talking about in this post, the low version is what Drs. Rondon and Martijn vd Hoogen are referring to in there comments/tweets. More information on that can be found here.
@kidney_boy is this pseudohyponatremia? I thought this is dilutional hyponatremia, like mannitol. Pseudohyponatriemia is lab test error.
— Martijn vd Hoogen (@MWF_vd_Hoogen) April 14, 2013