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Am J Physiol Regul Integr Comp Physiol (October 28, 2009). doi:10.1152/ajpregu.00412.2009
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Submitted on July 14, 2009
Revised on October 20, 2009
Accepted on October 20, 2009

Edelman's equation is valid in acute hyponatremia in a porcine model. Plasma sodium concentration is determined by external balances of water and cations

Christian Overgaard-Steensen1*, Anders Larsson2, Henrik Bluhme3, Else Tønnesen3, Jorgen Frokiaer4, and Troels Ring5

1 Aarhus University
2 Uppsala University Hospital
3 Aarhus University Hospital, Aarhus Sygehus NBG
4 University of Aarhus
5 Aalborg Hospital

* To whom correspondence should be addressed. E-mail: christian.overgaard.steensen{at}ki.au.dk.

Acute hyponatremia is a serious condition, which poses major challenges. Of particular importance is what determines plasma sodium concentration (plasma [Na+]). Edelman introduced an explicit model to describe plasma [Na+] in a population as [Na+] = {alpha}•(exchangeable Na+ + exchangeable K+)/(total body water) - {beta}. Evidence for the clinical utility of the model in the individual and in acute hyponatremia is sparse. We therefore investigated whether the actual measured plasma [Na+] was equal to the value estimated in a porcine model of hyponatremia. Plasma [Na+] was estimated from in vivo-determined balances of water, sodium and potassium according to a conversion of Edelman's equation. Acute hyponatremia was induced with desmopressin acetate (DDAVP) and infusion of a 2.5% glucose solution in anesthetized pigs. During 480 minutes, plasma [Na+] and osmolality were reduced from 136 mmol/l (SD=2) to 120 mmol/l (SD=3) and from 284 mOsm/kg (SD=4) to 252 mOsm/kg (SD=5), respectively. First, Edelman's model, which takes into account sodium and potassium, fits plasma [Na+] significantly better than dilution alone. Second, common {alpha} = 1.33 (SD=0.08) and {beta} = -13.04 mmol/l (SD=7.68) for all pigs explain the plasma [Na+] in the individual animal. Third, measured exchangeable Na+ and calculated exchangeable Na++K+ per weight in the pigs are close to Edelman's findings in humans, whereby the methods are cross-validated. In conclusion, plasma [Na+] can be explained in the individual animal by external balances according to Edelman's construct in acute hyponatremia.







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